• Math
  • K-8th grades
  • Eureka Math/EngageNY support
  • Remediation support for Eureka Math/EngageNY
  • On-grade support for Eureka Math/EngageNY
  • High school math
  • Early math
    • Counting
      • Counting
        • 🎥 Counting with small numbers
        • 🎥 Counting in order
      • Numbers 0 to 120
        • 🎥 Number grid
        • 🎥 Missing numbers between 0 and 120
      • Counting objects
        • 🎥 Counting in pictures
        • 🎥 Counting objects 1
        • 🎥 Counting objects 2
      • Comparing small numbers
        • 🎥 Comparing numbers of objects
        • 🎥 Comparing numbers on the number line
        • 🎥 Counting by category
    • Addition and subtraction intro
      • What is addition? What is subtraction?
        • 🎥 Intro to addition
        • 🎥 Intro to subtraction
      • Making small numbers
        • 🎥 Making 5
      • Making 10
        • 🎥 Getting to 10 by filling boxes
        • 🎥 Adding to 10
      • Put together, take apart
        • 🎥 Add and subtract: pieces of fruit
        • 🎥 Addition and subtraction within 10
      • Relate addition and subtraction
        • 🎥 Relating addition and subtraction
      • Addition and subtraction word problems
        • 🎥 Addition word problems within 10
        • 🎥 Subtraction word problems within 10
    • Place value (tens and hundreds)
      • Teens
        • 🎥 Teens as sums with 10
        • 🎥 Teen numbers: monkeys
      • Tens
        • 🎥 Intro to place value
        • 🎥 Place value example: 25
        • 🎥 Place value example: 42
      • Comparing 2-digit numbers
        • 🎥 Greater than and less than symbols
      • Hundreds
      • Comparing three-digit numbers
        • 🎥 Comparing whole numbers
    • Addition and subtraction within 20
      • Addition within 20
        • 🎥 Adding 7 + 6
        • 🎥 Adding 8 + 7
        • 🎥 Adding 5 + 3 + 6
      • Subtraction within 20
        • 🎥 Subtracting 14 - 6
      • Equal sign
        • 🎥 Equal sign
      • Missing number within 20
      • Word problems within 20
        • 🎥 Addition and subtraction word problems: superheroes
        • 🎥 Addition and subtraction word problems: gorillas
      • Word problems with "more" and "fewer"
        • 🎥 Comparison word problems: marbles
        • 🎥 Comparison word problems: roly-polies
      • Repeated addition
        • 🎥 Repeated addition: haircuts
    • Addition and subtraction within 100
      • Adding 1s and 10s
        • 🎥 Adding 1 vs. adding 10
        • 🎥 Understanding place value when adding tens
        • 🎥 Understanding place value when adding ones
      • Subtracting 1s and 10s
        • 🎥 Subtracting 1 vs. subtracting 10
        • 🎥 Subtracting 1s using place value
        • 🎥 Subtracting 10s using place value
      • Intro to addition with 2-digit numbers
        • 🎥 Adding 2-digit numbers without regrouping 1
        • 🎥 Adding 2-digit numbers without regrouping 2
        • 🎥 Breaking apart 2-digit addition problems
        • 🎥 Regrouping to add 1-digit number
        • 🎥 Adding by making a group of 10
      • Intro to subtraction with 2-digit numbers
        • 🎥 Subtracting 2-digit numbers without regrouping 1
        • 🎥 Subtracting two-digit numbers without regrouping (example 2)
        • 🎥 Subtracting a 1-digit number with regrouping
      • Strategies for adding and subtracting within 100
        • 🎥 Adding 53+17 by making a group of 10
        • 🎥 Adding by making a group of 10
        • 🎥 Strategies for adding 2-digit numbers
        • 🎥 Addition and subtraction with number lines
      • Addition within 100
        • 🎥 Adding 2-digit numbers without regrouping 2
        • 🎥 Adding with regrouping
      • Subtraction within 100
        • 🎥 Subtracting 2-digit numbers without regrouping 1
        • 🎥 Subtracting with regrouping (borrowing)
      • Word problems within 100
        • 🎥 Adding and subtracting on number line word problems
        • 🎥 Subtraction word problem: tennis balls
        • 🎥 Addition word problem: horses
        • 🎥 Subtraction word problem: snow
        • 🎥 Subtraction word problem: crayons
      • Word problems with "more" and "fewer" (within 100)
        • 🎥 Subtraction word problem: basketball
        • 🎥 Addition word problem: starfish
        • 🎥 Addition word problem: spots
      • Skip-counting
        • 🎥 Skip-counting by 5s
        • 🎥 Counting by 10s
        • 🎥 Skip-counting by 100s
      • Addition and subtraction missing value problems
        • 🎥 Missing numbers in addition and subtraction
    • Addition and subtraction within 1000
      • Adding 1s, 10s, and 100s
        • 🎥 Adding 10 or 100
        • 🎥 Adding 1s, 10s, and 100s
        • 🎥 Adding 3-digit numbers (no regrouping)
      • Subtracting 1s, 10s, and 100s
        • 🎥 Subtracting 1, 10, or 100
        • 🎥 Subtracting 1s, 10s, and 100s
        • 🎥 Subtracting 3-digit numbers (no regrouping)
      • Strategies for adding 2- and 3-digit numbers
        • 🎥 Breaking apart 3-digit addition problems
        • 🎥 Solving 3-digit addition in your head
        • 🎥 Addition using groups of 10 and 100
        • 🎥 Adding and subtracting on number line 2
    • Measurement and data
      • Length and size
        • 🎥 Ordering by length
      • Measuring length
        • 🎥 Measuring lengths 2
        • 🎥 Measuring lengths with different units
      • Comparing and estimating length
        • 🎥 Comparing lengths
        • 🎥 Estimating lengths
      • Length word problems
        • 🎥 Length word problems
        • 🎥 Measuring length: golden statue
      • Picture graphs
        • 🎥 Picture graphs
        • 🎥 Making picture graphs and line plots
      • Bar graphs
        • 🎥 Reading bar graphs: dog bones
        • 🎥 Reading bar graphs: bikes
        • 🎥 Creating picture and bar graphs 1
      • Line plots
        • 🎥 Intro to line plots
        • 🎥 Making picture graphs and line plots
      • Time
        • 🎥 Telling time (labeled clock)
        • 🎥 Telling time (unlabeled clock)
      • Money
        • 🎥 Counting dollars
        • 🎥 Counting American coins
    • Geometry
      • Basic shapes
        • 🎥 Cousin Fal's shape collection
        • 🎥 Recognizing shapes
      • Properties of shapes
        • 🎥 Cousin Fal's shape collection
        • 🎥 Recognizing shapes
      • Composing shapes
        • 🎥 Composing shapes
      • Fractions of shapes
        • 🎥 Halves and fourths
        • 🎥 Equal parts of circles and rectangles
  • Kindergarten
    • Counting and place value
      • Counting small numbers
        • 🎥 Counting with small numbers
        • 🎥 Counting in order
      • Numbers 0 to 100
        • 🎥 Number grid
        • 🎥 Missing numbers between 0 and 120
      • Counting objects
        • 🎥 Counting in pictures
        • 🎥 Counting objects 1
        • 🎥 Counting objects 2
      • Comparing small numbers
        • 🎥 Comparing numbers of objects
        • 🎥 Comparing numbers on the number line
        • 🎥 Counting by category
      • Teens
        • 🎥 Teens as sums with 10
        • 🎥 Teen numbers: monkeys
    • Addition and subtraction
      • What is addition? What is subtraction?
        • 🎥 Intro to addition
        • 🎥 Intro to subtraction
      • Making 10
        • 🎥 Getting to 10 by filling boxes
        • 🎥 Adding to 10
      • Making small numbers
        • 🎥 Making 5
      • Put together, take apart
        • 🎥 Add and subtract: pieces of fruit
        • 🎥 Addition and subtraction within 10
      • Addition and subtraction word problems
        • 🎥 Addition word problems within 10
        • 🎥 Subtraction word problems within 10
    • Measurement and geometry
      • Comparing size
      • Basic shapes
        • 🎥 Cousin Fal's shape collection
        • 🎥 Recognizing shapes
      • Comparing shapes
      • Composing shapes
        • 🎥 Composing shapes
  • 1st grade
    • Place value
      • Numbers 0 to 120
        • 🎥 Number grid
        • 🎥 Missing numbers between 0 and 120
      • Ones and tens
        • 🎥 Intro to place value
        • 🎥 Place value example: 25
        • 🎥 Place value example: 42
      • Comparing 2-digit numbers
        • 🎥 Greater than and less than symbols
    • Addition and subtraction
      • Relate addition and subtraction
        • 🎥 Relating addition and subtraction
      • Addition within 20
        • 🎥 Adding 7 + 6
        • 🎥 Adding 8 + 7
        • 🎥 Adding 5 + 3 + 6
      • Subtraction within 20
        • 🎥 Subtracting 14 - 6
      • Equal sign
        • 🎥 Equal sign
      • Missing number within 20
      • Word problems within 20
        • 🎥 Addition and subtraction word problems: superheroes
        • 🎥 Addition and subtraction word problems: gorillas
      • Word problems with "more" and "fewer"
        • 🎥 Comparison word problems: marbles
        • 🎥 Comparison word problems: roly-polies
      • Adding 1s and 10s
        • 🎥 Adding 1 vs. adding 10
        • 🎥 Understanding place value when adding tens
        • 🎥 Understanding place value when adding ones
      • Intro to addition with 2-digit numbers
        • 🎥 Adding 2-digit numbers without regrouping 1
        • 🎥 Adding 2-digit numbers without regrouping 2
        • 🎥 Breaking apart 2-digit addition problems
        • 🎥 Regrouping to add 1-digit number
        • 🎥 Adding by making a group of 10
    • Measurement and data
      • Length and size
        • 🎥 Ordering by length
        • 🎥 Measuring length: golden statue
      • Bar graphs
        • 🎥 Reading bar graphs: dog bones
      • Time
        • 🎥 Telling time (labeled clock)
    • Geometry
      • Shapes
        • 🎥 Cousin Fal's shape collection
        • 🎥 Recognizing shapes
      • Fractions of shapes
        • 🎥 Halves and fourths
  • 2nd grade
    • Place value
      • Hundreds
      • Comparing 3-digit numbers
        • 🎥 Comparing whole numbers
    • Addition and subtraction within 100
      • Repeated addition
        • 🎥 Repeated addition: haircuts
      • Adding 1s and 10s
        • 🎥 Adding 1 vs. adding 10
        • 🎥 Understanding place value when adding tens
        • 🎥 Understanding place value when adding ones
      • Subtracting 1s and 10s
        • 🎥 Subtracting 1 vs. subtracting 10
        • 🎥 Subtracting 1s using place value
        • 🎥 Subtracting 10s using place value
      • Intro to addition with 2-digit numbers
        • 🎥 Adding 2-digit numbers without regrouping 1
        • 🎥 Adding 2-digit numbers without regrouping 2
        • 🎥 Breaking apart 2-digit addition problems
        • 🎥 Regrouping to add 1-digit number
        • 🎥 Adding by making a group of 10
      • Intro to subtraction with 2-digit numbers
        • 🎥 Subtracting 2-digit numbers without regrouping 1
        • 🎥 Subtracting two-digit numbers without regrouping (example 2)
        • 🎥 Subtracting a 1-digit number with regrouping
      • Strategies for adding and subtracting within 100
        • 🎥 Adding 53+17 by making a group of 10
        • 🎥 Adding by making a group of 10
        • 🎥 Strategies for adding 2-digit numbers
        • 🎥 Addition and subtraction with number lines
      • Addition within 100
        • 🎥 Adding 2-digit numbers without regrouping 2
        • 🎥 Adding with regrouping
      • Subtraction within 100
        • 🎥 Subtracting 2-digit numbers without regrouping 1
        • 🎥 Subtracting with regrouping (borrowing)
      • Word problems within 100
        • 🎥 Adding and subtracting on number line word problems
        • 🎥 Subtraction word problem: tennis balls
        • 🎥 Addition word problem: horses
        • 🎥 Subtraction word problem: snow
        • 🎥 Subtraction word problem: crayons
      • Word problems with "more" and "fewer" (within 100)
        • 🎥 Subtraction word problem: basketball
        • 🎥 Addition word problem: starfish
        • 🎥 Addition word problem: spots
      • Skip-counting
        • 🎥 Skip-counting by 5s
        • 🎥 Counting by 10s
        • 🎥 Skip-counting by 100s
      • Addition and subtraction missing value problems
        • 🎥 Missing numbers in addition and subtraction
    • Addition and subtraction within 1000
      • Adding 1s, 10s, and 100s
        • 🎥 Adding 10 or 100
        • 🎥 Adding 1s, 10s, and 100s
        • 🎥 Adding 3-digit numbers (no regrouping)
      • Subtracting 1s, 10s, and 100s
        • 🎥 Subtracting 1, 10, or 100
        • 🎥 Subtracting 1s, 10s, and 100s
        • 🎥 Subtracting 3-digit numbers (no regrouping)
      • Strategies for adding 2- and 3-digit numbers
        • 🎥 Breaking apart 3-digit addition problems
        • 🎥 Solving 3-digit addition in your head
        • 🎥 Addition using groups of 10 and 100
        • 🎥 Adding and subtracting on number line 2
    • Measurement and data
      • Measuring length
        • 🎥 Measuring lengths 2
        • 🎥 Measuring lengths with different units
      • Comparing and estimating length
        • 🎥 Comparing lengths
        • 🎥 Estimating lengths
      • Length word problems
        • 🎥 Length word problems
        • 🎥 Measuring length: golden statue
      • Picture graphs
        • 🎥 Picture graphs
        • 🎥 Making picture graphs and line plots
      • Bar graphs
        • 🎥 Reading bar graphs: bikes
        • 🎥 Creating picture and bar graphs 1
      • Line plots
        • 🎥 Intro to line plots
        • 🎥 Making picture graphs and line plots
      • Time
        • 🎥 Telling time (labeled clock)
        • 🎥 Telling time (unlabeled clock)
      • Money
        • 🎥 Counting dollars
        • 🎥 Counting American coins
    • Geometry
      • Shapes
        • 🎥 Cousin Fal's shape collection
        • 🎥 Recognizing shapes
      • Fractions of shapes
        • 🎥 Equal parts of circles and rectangles
  • 3rd grade
    • Addition and subtraction
      • Strategies for adding two and three-digit numbers
        • 🎥 Breaking apart 3-digit addition problems
        • 🎥 Addition using groups of 10 and 100
        • 🎥 Adding and subtracting on number line 2
        • 🎥 Estimating adding and subtracting 3-digit numbers
      • Adding with regrouping within 1000
        • 🎥 Intro to place value
        • 🎥 Adding 3-digit numbers
        • 🎥 Adding with regrouping
        • 🎥 Adding 3-digit numbers with regrouping
      • Subtracting with regrouping within 1000
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping)
        • 🎥 Subtracting 3-digit numbers (regrouping) 2
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping twice)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping from 0)
        • 🎥 Subtracting in your head (no regrouping)
      • Addition and subtraction missing value problems
        • 🎥 Missing number for addition and subtraction within 1000
    • Multiplication and division
      • Multiplication intro
        • 🎥 Intro to multiplication
        • 🎥 Multiplication as groups of objects
        • 🎥 More ways to multiply
      • Multiplication facts
      • Relating multiplication and division
        • 🎥 Relating division to multiplication
        • 🎥 Multiplication word problem: parking lot
        • 🎥 Division word problem: school building
        • 🎥 Multiplication word problem: soda party
        • 🎥 Division word problem: blueberries
      • Division intro
        • 🎥 The idea of division
      • Division facts
      • More with 1-digit multiplication and division
        • 🎥 Unknowns with multiplication and division
      • Properties of multiplication
        • 🎥 Properties of multiplication
        • 🎥 Properties and patterns for multiplication
        • 🎥 Associative property of multiplication
      • One and two-step word problems
        • 🎥 2-step estimation problem: marbles
        • 🎥 2-step word problem: truffles
        • 🎥 2-step word problem: running
        • 🎥 2-step word problem: theater
      • Multiplying by tens
        • 🎥 Multiplying by multiples of 10
        • 🎥 Multiplying by tens word problem
      • Patterns in arithmetic
        • 🎥 Finding patterns in numbers
        • 🎥 Intro to even and odd numbers
        • 🎥 Patterns in multiplication tables
    • Fractions
      • Fractions intro
        • 🎥 Intro to fractions
        • 🎥 Cutting shapes into equal parts
        • 🎥 Identifying unit fractions word problem
      • What fractions mean
        • 🎥 More than one equal section
        • 🎥 Recognizing fractions greater than 1
        • 🎥 Identifying numerators and denominators
      • Fractions on the number line
        • 🎥 Fractions on a number line
        • 🎥 Fractions on number line widget
      • Fractions and whole numbers
        • 🎥 Representing 1 as a fraction
        • 🎥 Whole numbers as fractions
      • Equivalent fractions
        • 🎥 Equivalent fractions with visuals
        • 🎥 Equivalent fraction models
      • Equivalent fractions on the number line
        • 🎥 Equivalent fraction visually
        • 🎥 Creating equivalent fractions
      • Comparing fractions
        • 🎥 Comparing fractions with > and < symbols
        • 🎥 Comparing fractions visually
        • 🎥 Comparing fractions with the same denominator
        • 🎥 Comparing fractions with the same numerator
      • Comparing fractions of different wholes
        • 🎥 Comparing fractions of different wholes 1
        • 🎥 Comparing fractions of different wholes 2
    • Measurement and data
      • Time
        • 🎥 Telling time to the nearest minute (labeled clock)
        • 🎥 Telling time to the nearest minute (unlabeled clock)
        • 🎥 Time differences example
        • 🎥 Telling time with number line
        • 🎥 Time word problem: travel time
        • 🎥 Time word problem: puzzle
      • Mass
        • 🎥 Understanding mass (grams and kilograms)
        • 🎥 Word problems with mass
      • Volume
        • 🎥 Understanding volume (liters)
        • 🎥 Word problems with volume
      • Bar graphs
        • 🎥 Creating picture and bar graphs 1
        • 🎥 Reading bar graphs: Harry Potter
        • 🎥 Reading bar graphs: movies
        • 🎥 Interpreting bar graphs: colors
      • Picture graphs
        • 🎥 Creating picture and bar graphs 1
        • 🎥 Solving problems with pictographs 2
        • 🎥 Interpreting picture graphs: paint
        • 🎥 Interpreting picture graphs: notebook
      • Line plots
        • 🎥 Intro to line plots
        • 🎥 Graphing data on line plots
    • Geometry
      • Area introduction
        • 🎥 Intro to area and unit squares
      • Count unit squares to find area
        • 🎥 Intro to area and unit squares
        • 🎥 Measuring rectangles with different unit squares
        • 🎥 Measuring area with partial unit squares
        • 🎥 Creating rectangles with a given area 1
        • 🎥 Creating rectangles with a given area 2
      • Area formula intuition
        • 🎥 Counting unit squares to find area formula
        • 🎥 Transitioning from unit squares to area formula
      • Multiply to find area
        • 🎥 Counting unit squares to find area formula
        • 🎥 Finding missing side when given area
        • 🎥 Comparing areas of plots of land
      • Area and the distributive property
        • 🎥 Area and the distributive property
      • Decompose figures to find area
        • 🎥 Decomposing shapes to find area: grids
        • 🎥 Decomposing shapes to find area: add
        • 🎥 Decomposing shapes to find area: subtract
        • 🎥 Area word problem: house size
      • Perimeter
        • 🎥 Perimeter: introduction
        • 🎥 Perimeter of a shape
        • 🎥 Finding perimeter when a side length is missing
        • 🎥 Finding missing side length when given perimeter
      • Comparing area and perimeter
        • 🎥 Comparing areas and perimeters of rectangles
      • Perimeter word problems
        • 🎥 Perimeter word problem: tables
        • 🎥 Perimeter word problem: skating rink
      • Quadrilaterals
        • 🎥 Intro to quadrilaterals
    • Place value and rounding
      • Rounding
        • 🎥 Rounding to nearest 10
        • 🎥 Rounding to nearest 100
        • 🎥 Rounding to nearest 10 and 100
  • 4th grade
    • Addition and subtraction
      • Adding multi-digit numbers
        • 🎥 Adding 3-digit numbers
        • 🎥 Adding with regrouping
        • 🎥 Multi-digit addition with regrouping
      • Subtracting multi-digit numbers
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping from 0)
        • 🎥 Multi-digit subtraction with regrouping: 7329-6278
        • 🎥 Multi-digit subtraction with regrouping: 6798-3359
        • 🎥 Multi-digit subtraction with regrouping twice
    • Multiplication and division
      • Multiplication by 10s, 100s, and 1000s
        • 🎥 Multiplying 1-digit numbers by 10, 100, and 1000
        • 🎥 Multiplying 1-digit numbers by multiples of 10, 100, and 1000
        • 🎥 Multiplying 10s
      • Multi-digit multiplication: place value and area models
        • 🎥 More ways to multiply
        • 🎥 Multiplying with distributive property
        • 🎥 Multiplying with area model: 6 x 7981
        • 🎥 Multiplying with area model: 78 x 65
        • 🎥 Multiplying with area model: 16 x 27
      • Multi-digit multiplication: standard algorithm
        • 🎥 Multiplying 2-digit by 1-digit
        • 🎥 Multiplying 3-digit by 1-digit
        • 🎥 Multiplying: 2-digit by 1-digit (regrouping)
        • 🎥 Multiplying 3-digit by 1-digit (regrouping)
        • 🎥 Multiplying 4-digit by 1-digit (regrouping)
      • Comparing with multiplication
        • 🎥 Comparing with multiplication: basics
        • 🎥 Comparing with multiplication: giraffe
        • 🎥 Comparing with multiplication: money
        • 🎥 Comparing with multiplication: age
        • 🎥 Comparing with multiplication: magic
      • Division problems that work out nicely
        • 🎥 Quotients that are multiples of 10
        • 🎥 Canceling zeros when dividing
      • Division: place value and area
        • 🎥 Division using place value
        • 🎥 Division with area models
      • Multi-digit division
        • 🎥 Intro to long division (no remainders)
        • 🎥 Long division: 280÷5
      • Remainders
        • 🎥 Intro to remainders
        • 🎥 Worked example: Long division with remainders: 3771÷8
        • 🎥 Worked example: Long division with remainders: 2292÷4
      • Multiplication, division word problems
        • 🎥 Division word problem: field goals
        • 🎥 Multiplication word problem: pizza
    • Fractions
      • Equivalent fractions
        • 🎥 Intro to equivalent fractions
        • 🎥 Visualizing equivalent fractions
        • 🎥 More on equivalent fractions
        • 🎥 Equivalent fractions and different wholes
      • Common denominators
        • 🎥 Finding common denominators
        • 🎥 Common denominators: 1/4 and 5/6
        • 🎥 Common denominators: 3/5 and 7/2
      • Comparing fractions with unlike denominators visually
        • 🎥 Comparing fractions: tape diagram
        • 🎥 Comparing fractions: number line
        • 🎥 Comparing fractions: fraction models
      • Comparing fractions with unlike denominators
        • 🎥 Comparing fractions 1 (unlike denominators)
        • 🎥 Ordering fractions
        • 🎥 Comparing fractions 2 (unlike denominators)
      • Decomposing fractions
        • 🎥 Decomposing a fraction visually
        • 🎥 Decomposing a mixed number
      • Adding and subtracting fractions with like denominators
        • 🎥 Adding fractions with like denominators
        • 🎥 Subtracting fractions with like denominators
      • Adding and subtracting fractions: word problems
        • 🎥 Fraction word problem: pizza
        • 🎥 Fraction word problem: spider eyes
        • 🎥 Fraction word problem: piano
      • Mixed numbers
        • 🎥 Rewriting mixed numbers as improper fractions
        • 🎥 Rewriting improper fractions as mixed numbers
        • 🎥 Comparing improper fractions and mixed numbers
      • Adding and subtracting mixed numbers
        • 🎥 Intro to adding mixed numbers
        • 🎥 Intro to subtracting mixed numbers
        • 🎥 Fraction word problem: lizard
        • 🎥 Subtracting mixed numbers with like denominators
      • Multiplying unit fractions and whole numbers
        • 🎥 Multiplying unit fractions and whole numbers
      • Multiplying whole numbers and fractions
        • 🎥 Multiplying fractions and whole numbers visually
        • 🎥 Equivalent fraction and whole number multiplication problems
      • Multiplying whole numbers and fractions word problems
        • 🎥 Multiplying fractions word problem: milk
        • 🎥 Multiplying fractions word problem: movies
        • 🎥 Multiplying fractions by whole numbers word problem
      • Fractions with denominators of 10 and 100
        • 🎥 Visually converting tenths and hundredths
        • 🎥 Decomposing hundredths
        • 🎥 Decomposing hundredths on number line
        • 🎥 Adding fractions (denominators 10 & 100)
        • 🎥 Adding fractions: 7/10+13/100
    • Decimals
      • Intro to decimals
        • 🎥 Intro to decimals
        • 🎥 Decimals as words
        • 🎥 Writing decimal numbers shown in grids
      • Decimals on the number line
        • 🎥 Graphing tenths from 0 to 1
        • 🎥 Identifying tenths on a number line
        • 🎥 Graphing hundredths from 0 to 0.1
        • 🎥 Identifying hundredths on a number line
        • 🎥 Plotting decimal numbers on a number line
      • Decimals vs. fractions
        • 🎥 Rewriting fractions as decimals
        • 🎥 Writing a number as a fraction and decimal
      • Decimals greater than one
        • 🎥 Place value for decimals greater than 1
      • Converting decimals to fractions
        • 🎥 Rewriting decimals as fractions: 0.15
        • 🎥 Rewriting decimals as fractions: 0.8
        • 🎥 Rewriting decimals as fractions: 0.36
      • Common fractions and decimals
        • 🎥 Common fractions and decimals
        • 🎥 Common fractions (halves)
      • Comparing decimals visually
        • 🎥 Comparing decimals visually
        • 🎥 Comparing numbers represented different ways
      • Comparing decimals
        • 🎥 Comparing decimal numbers on a number line
        • 🎥 Comparing decimals 1
        • 🎥 Comparing decimals 2
    • Measurement and data
      • Estimating mass
        • 🎥 Metric system: units of weight
        • 🎥 Choose pounds or ounces to measure weight
        • 🎥 U.S. customary units: weight
      • Estimating volume
        • 🎥 Metric system: units of volume
        • 🎥 U.S. customary units: fluid volume
      • Estimating length
        • 🎥 Metric system: units of distance
        • 🎥 U.S. customary units: distance
      • Time
        • 🎥 Finding reasonable unit of measurement example
        • 🎥 Time differences example
        • 🎥 Time word problem: puzzle
        • 🎥 Time word problem: travel time
      • Converting units of mass
        • 🎥 How to convert kg to mg and T to oz
        • 🎥 Converting pounds to ounces
      • Converting units of volume
        • 🎥 Converting US customary units of volume
      • Converting units of length
        • 🎥 Converting metric units of length
        • 🎥 Converting feet to inches
        • 🎥 Converting yards into inches
      • Converting units of time
        • 🎥 Converting units of time
        • 🎥 Time word problem: travel time
        • 🎥 Time word problem: Susan's break
      • Money word problems
        • 🎥 Word problem: making change
        • 🎥 Currency conversion word problem
      • Conversion word problems
        • 🎥 Multi-step unit conversion examples (metric)
        • 🎥 Multi-step unit conversion examples (U.S. Customary)
      • Area and perimeter
        • 🎥 Area & perimeter word problem: dog pen
        • 🎥 Area & perimeter word problem: table
        • 🎥 Comparing areas word problem
      • Line plots with fractions
        • 🎥 Reading a line plot with fractions
    • Geometry
      • Lines, line segments, and rays
        • 🎥 Terms & labels in geometry
        • 🎥 Lines, line segments, & rays
      • Parallel and perpendicular
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines
        • 🎥 Drawing parallel line segments
      • Angle introduction
        • 🎥 Angles: introduction
        • 🎥 Naming angles
      • Measuring angles
        • 🎥 Measuring angles in degrees
        • 🎥 Measuring angles using a protractor
        • 🎥 Measuring angles using a protractor 2
      • Constructing angles
        • 🎥 Constructing angles
      • Angles in circles
        • 🎥 Angle measurement & circle arcs
        • 🎥 Measuring angles with a circular protractor
        • 🎥 Angles in circles word problem
      • Angle types
        • 🎥 Acute, right, & obtuse angles
        • 🎥 Recognizing angles
        • 🎥 Drawing acute, right and obtuse angles
        • 🎥 Identifying an angle
      • Decomposing angles
        • 🎥 Decomposing an angle
        • 🎥 Decomposing angles
      • Line of symmetry
        • 🎥 Intro to reflective symmetry
        • 🎥 Identifying symmetrical figures
      • Classifying triangles
        • 🎥 Classifying triangles
        • 🎥 Classifying triangles by angles
        • 🎥 Worked example: Classifying triangles
      • Classifying geometric shapes
        • 🎥 Classifying shapes by line and angles types
        • 🎥 Quadrilateral properties
        • 🎥 Classifying shapes by lines and angles
    • Factors, multiples and patterns
      • Factors and multiples
        • 🎥 Finding factors of a number
        • 🎥 Finding factors and multiples
      • Prime and composite numbers
        • 🎥 Prime numbers
        • 🎥 Recognizing prime and composite numbers
      • Math patterns
        • 🎥 Factors and multiples: days of the week
        • 🎥 Math patterns: table
        • 🎥 Math patterns: toothpicks
    • Place value and rounding
      • Intro to place value
        • 🎥 Finding place value
        • 🎥 Creating the largest number
        • 🎥 Place value blocks
      • How 10 relates to place value
        • 🎥 Multiplying whole numbers by 10
        • 🎥 Dividing whole numbers by 10
        • 🎥 Understanding place value
        • 🎥 Comparing place values
        • 🎥 Place value when multiplying and dividing by 10
      • Ways to write whole numbers (expanded form and written form)
        • 🎥 Writing a number in expanded form
        • 🎥 Writing a number in standard form
      • Regrouping whole numbers
        • 🎥 Regrouping numbers into various place values
        • 🎥 Regrouping whole number place values
        • 🎥 Adding whole numbers by their place values
      • Comparing multi-digit numbers
        • 🎥 Comparing multi-digit numbers
        • 🎥 Comparing whole number place values
        • 🎥 Comparing multi-digit whole numbers word problems
      • Rounding whole numbers
        • 🎥 Rounding whole numbers to nearest hundred
        • 🎥 Rounding whole numbers to nearest thousand
        • 🎥 Rounding whole numbers to nearest ten
        • 🎥 Rounding whole numbers: missing digit
        • 🎥 Rounding whole numbers word problems
  • 5th grade
    • Addition and subtraction
      • Common fractions and decimals
        • 🎥 Common fractions and decimals
      • Adding decimals
        • 🎥 Estimating decimal addition
        • 🎥 Introduction to adding decimals: tenths
        • 🎥 Adding decimals with ones and tenths parts
        • 🎥 Adding decimals with hundredths
        • 🎥 Adding decimals with ones, tenths and hundredths
        • 🎥 Adding decimals: 9.087+15.31
        • 🎥 Adding decimals: 0.822+5.65
        • 🎥 Adding three decimals
      • Subtracting decimals
        • 🎥 Estimating decimal subtraction
        • 🎥 Strategies for subtracting basic decimals
        • 🎥 Strategies for subtracting more complex decimals with tenths
        • 🎥 Subtraction strategies with hundredths
        • 🎥 More advanced subtraction strategies with hundredths
        • 🎥 Subtracting decimals: 10.1-3.93
        • 🎥 Subtracting decimals: 9.57-8.09
    • Multiplication and division
      • Multi-digit multiplication
        • 🎥 Relate multiplication with area models to the standard algorithm
        • 🎥 Strategies for multiplying multiples of 10, 100 and 1000
        • 🎥 Estimating multi-digit multiplication
        • 🎥 Multiplying multi-digit numbers
      • Multiplying decimals
        • 🎥 Estimating decimal multiplication
        • 🎥 Intro to multiplying decimals
        • 🎥 Developing strategies for multiplying decimals
        • 🎥 Multiplying decimals: place value
        • 🎥 Developing strategies for multiplying 2-digit decimals
      • Multi-digit division
        • 🎥 Strategies for dividing multiples of 10, 100, and 1000
        • 🎥 Estimating multi-digit division
        • 🎥 Introduction to dividing by 2-digits
        • 🎥 Dividing by 2-digits: 9815÷65
        • 🎥 Dividing by 2-digits: 7182÷42
      • Dividing decimals
        • 🎥 Estimating decimal division
        • 🎥 Division strategies for decimal quotients
        • 🎥 Dividing whole numbers to get a decimal
        • 🎥 Multi-digit division strategies for decimals
        • 🎥 Strategies for dividing by tenths
    • Fractions
      • Visually adding and subtracting fractions with unlike denominators
        • 🎥 Visually adding fractions: 5/6+1/4
        • 🎥 Visually subtracting fractions: 3/4-5/8
      • Common denominators
        • 🎥 Finding common denominators
        • 🎥 Common denominators: 1/4 and 5/6
        • 🎥 Common denominators: 3/5 and 7/2
      • Adding and subtracting fractions with unlike denominators
        • 🎥 Adding fractions with unlike denominators
        • 🎥 Subtracting fractions with unlike denominators
        • 🎥 Adding and subtracting 3 fractions
        • 🎥 Solving for the missing fraction
      • Adding and subtracting mixed number with unlike denominators
        • 🎥 Adding mixed numbers: 19 3/18 + 18 2/3
        • 🎥 Subtracting mixed numbers: 7 6/9 - 3 2/5
        • 🎥 Adding mixed numbers with regrouping
        • 🎥 Subtracting mixed numbers with regrouping (unlike denominators)
      • Adding and subtracting fractions with unlike denominators word problems
        • 🎥 Adding fractions word problem: paint
        • 🎥 Subtracting fractions word problem: tomatoes
      • Multiplication as scaling
        • 🎥 Multiplication as scaling with fractions
      • Multiplying fractions and whole numbers
        • 🎥 Multiplying fractions by whole numbers on a number line
        • 🎥 Multiplying unit fractions and whole numbers
        • 🎥 Multiplying fractions and whole numbers visually
        • 🎥 Multiplying fractions and whole numbers
      • Multiplying fractions and whole numbers word problems
        • 🎥 Multiplying fractions word problem: movies
        • 🎥 Multiplying fractions word problem: milk
      • Multiplying fractions
        • 🎥 Intro to multiplying 2 fractions
        • 🎥 Multiplying 2 fractions: fraction model
        • 🎥 Multiplying 2 fractions: number line
        • 🎥 Multiplying 2 fractions: 5/6 x 2/3
        • 🎥 Finding area with fractional sides 1
        • 🎥 Finding area with fractional sides 2
      • Multiplying mixed numbers
        • 🎥 Multiplying mixed numbers
      • Multiplying fractions word problems
        • 🎥 Multiplying fractions word problem: muffins
        • 🎥 Multiplying fractions word problem: laundry
        • 🎥 Multiplying fractions word problem: bike
      • Fractions as division
        • 🎥 Understanding fractions as division
        • 🎥 Creating a fraction through division
        • 🎥 Mixed numbers on a number line
        • 🎥 Creating mixed numbers with fraction division
      • Dividing unit fractions by whole numbers
        • 🎥 Visually dividing unit fraction by a whole number
        • 🎥 Dividing a unit fraction by a whole number
      • Dividing whole numbers by unit fractions
        • 🎥 Visually dividing whole numbers by unit fractions
        • 🎥 Dividing a whole number by a unit fraction
      • Dividing fractions and whole numbers word problems
        • 🎥 Dividing whole numbers by fractions: word problem
        • 🎥 Dividing fractions by whole numbers: studying
      • Rewriting fractions as decimals
        • 🎥 Rewriting a fraction as a decimal: 3/5
        • 🎥 Rewriting a fraction as a decimal: 6/12
        • 🎥 Rewriting a fraction as a decimal: 21/60
    • Place value and decimals
      • Decimal place value intro
        • 🎥 Decimal place value
      • Decimals in expanded form
        • 🎥 Write decimal in expanded form
        • 🎥 Convert decimal from expanded form to standard form
      • Decimals in written form
        • 🎥 Decimals in written form (hundredths)
        • 🎥 Decimals in written form (thousandths)
      • Comparing decimals
        • 🎥 Comparing decimals: 9.97 and 9.798
        • 🎥 Comparing decimals: 156.378 and 156.348
        • 🎥 Ordering decimals 1
        • 🎥 Ordering decimals 2
        • 🎥 Comparing decimals word problems
      • Rounding decimals
        • 🎥 Worked example: Rounding decimals to nearest tenth
        • 🎥 Rounding decimals word problems
      • Multiplying and dividing whole numbers by 10, 100, and 1000
      • Multiplying and dividing decimals by 10, 100, and 1000
      • Powers of 10
        • 🎥 Patterns in powers of 10
      • Multiplying and dividing with powers of 10
        • 🎥 Exponents and powers of 10 patterns
        • 🎥 Multiplying a decimal by a power of 10
        • 🎥 Dividing a decimal by a power of 10
        • 🎥 Dividing a decimal by a power of 10: pattern
        • 🎥 Fractions as division by power of 10
      • Comparing decimal place values
        • 🎥 Comparing decimal place values
      • Regrouping decimal numbers
        • 🎥 Regrouping whole numbers: 675
        • 🎥 Regrouping whole numbers: 76,830
        • 🎥 Regrouping whole numbers: 430
        • 🎥 Regrouping with decimals: 21.3
        • 🎥 Regrouping with decimals: 86.93
        • 🎥 Regrouping with decimals: 0.25
    • Measurement and data
      • Volume intro
        • 🎥 Volume intro
        • 🎥 Measuring volume with unit cubes
        • 🎥 Measuring volume as area times length
      • Finding volume
        • 🎥 Volume of a rectangular prism
        • 🎥 Volume in unit cubes by decomposing shape
        • 🎥 Volume through decomposition
        • 🎥 Volume word problem: water tank
      • Unit conversion
        • 🎥 Converting units: minutes to hours
        • 🎥 Converting units: metric distance
        • 🎥 Converting units: centimeters to meters
        • 🎥 Converting units: US volume
        • 🎥 Adding units of volume
        • 🎥 Same length in different units
        • 🎥 U.S. customary and metric units
      • Unit measurement word problems
        • 🎥 Time word problem: Susan's break
        • 🎥 Measurement word problem: tea party
        • 🎥 Measurement word problem: distance home
        • 🎥 Measurement word problem: blood drive
        • 🎥 Measurement word problem: elevator
        • 🎥 Measurement word problem: running laps
      • Data
        • 🎥 Line plot distribution: trail mix
    • Geometry
      • Intro to the coordinate plane
        • 🎥 Introduction to the coordinate plane
        • 🎥 Coordinate plane: graphing points
      • Coordinate plane word problems
        • 🎥 Plotting corners of a rectangle
        • 🎥 Coordinate plane graphing word problem
        • 🎥 Interpreting plotted points
      • Quadrilaterals
        • 🎥 Intro to quadrilateral
        • 🎥 Quadrilateral properties
        • 🎥 Kites as a geometric shape
        • 🎥 Quadrilateral types
        • 🎥 Classifying quadrilaterals
    • Algebraic thinking
      • Writing expressions
        • 🎥 Constructing numerical expressions
        • 🎥 Evaluating expressions with & without parentheses
        • 🎥 Translating expressions with parentheses
      • Number patterns
        • 🎥 Graphing patterns on coordinate plane
        • 🎥 Interpreting patterns on coordinate plane
        • 🎥 Interpreting relationships in ordered pairs
        • 🎥 Graphing sequence relationships
  • 6th grade
    • Ratios, rates, & percentages
      • Intro to ratios
        • 🎥 Intro to ratios
        • 🎥 Basic ratios
        • 🎥 Equivalent ratios
        • 🎥 Equivalent ratios: recipe
        • 🎥 Equivalent ratio word problems
        • 🎥 Understanding equivalent ratios
      • Visualize ratios
        • 🎥 Ratios and double number lines
        • 🎥 Solving ratio problems with tables
        • 🎥 Ratios with tape diagrams
      • Ratio application
        • 🎥 Ratios on coordinate plane
        • 🎥 Ratios and measurement
        • 🎥 Part:whole ratios
        • 🎥 Part:whole ratio word problem
      • Intro to rates
        • 🎥 Intro to rates
        • 🎥 Solving unit rate problem
        • 🎥 Solving unit price problem
        • 🎥 Rate problems
        • 🎥 Comparing rates example
      • Intro to percents
        • 🎥 The meaning of percent
        • 🎥 Meaning of 109%
        • 🎥 Percents from fraction models
        • 🎥 Fraction, decimal, and percent from visual model
      • Percent, decimal, fraction conversions
        • 🎥 Converting percents to decimals & fractions example
        • 🎥 Converting decimals to percents: 0.601
        • 🎥 Converting decimals to percents: 1.501
        • 🎥 Converting percents to decimals: 59.2%
        • 🎥 Converting percents to decimals: 113.9%
      • Percent problems
        • 🎥 Finding a percent
        • 🎥 Percent of a whole number
        • 🎥 Percent word problem: 100 is what percent of 80?
      • Percent word problems
        • 🎥 Percent word problem: recycling cans
    • Arithmetic operations
      • Adding decimals
        • 🎥 Adding decimals: 9.087+15.31
        • 🎥 Adding decimals: 0.822+5.65
        • 🎥 Adding three decimals
      • Subtracting decimals
        • 🎥 Subtracting decimals: 9.005 - 3.6
        • 🎥 Subtracting decimals: 39.1 - 0.794
      • Adding and subtracting decimals word problems
        • 🎥 Adding decimals word problem
        • 🎥 Adding & subtracting decimals word problem
      • Multiplying decimals
        • 🎥 Intro to multiplying decimals
        • 🎥 Multiplying decimals: place value
        • 🎥 Multiplying challenging decimals
      • Dividing whole numbers
        • 🎥 Dividing by 2-digits: 9815÷65
        • 🎥 Dividing by 2-digits: 7182÷42
      • Dividing decimals
        • 🎥 Dividing whole numbers to get a decimal
        • 🎥 Dividing a decimal by a whole number
        • 🎥 Dividing a whole number by a decimal
        • 🎥 Dividing decimals with hundredths
        • 🎥 Dividing decimals completely
        • 🎥 Long division with decimals
        • 🎥 Dividing by a multi-digit decimal
      • Dividing fractions by fractions
        • 🎥 Understanding division of fractions
        • 🎥 Dividing a fraction by a whole number
        • 🎥 Dividing a whole number by a fraction
        • 🎥 Dividing fractions: 2/5 ÷ 7/3
        • 🎥 Dividing fractions: 3/5 ÷ 1/2
        • 🎥 Dividing mixed numbers
        • 🎥 Dividing whole numbers & fractions: t-shirts
      • Exponents
        • 🎥 Intro to exponents
        • 🎥 The zeroth power
        • 🎥 Powers of fractions
      • Order of operations
        • 🎥 Intro to order of operations
        • 🎥 Order of operations examples: exponents
        • 🎥 Order of operations example
        • 🎥 Worked example: Order of operations (PEMDAS)
        • 🎥 Order of operations example
    • Negative numbers
      • Intro to negative numbers
        • 🎥 Intro to negative numbers
      • Negative decimals & fractions on the number line
        • 🎥 Negative decimals on the number line
        • 🎥 Decimals & fractions on the number line
      • Number opposites
        • 🎥 Number opposites
        • 🎥 Negative symbol as opposite
        • 🎥 Number opposites challenge problems
      • Comparing negative numbers
        • 🎥 Ordering negative numbers
        • 🎥 Ordering rational numbers
        • 🎥 Negative numbers, variables, number line
      • Absolute value
        • 🎥 Absolute value examples
        • 🎥 Comparing absolute values
        • 🎥 Placing absolute values on the number line
        • 🎥 Comparing absolute values on the number line
        • 🎥 Testing solutions to absolute value inequalities
        • 🎥 Interpreting absolute value
      • Coordinate plane
        • 🎥 Points on the coordinate plane examples
        • 🎥 Plotting a point (ordered pair)
        • 🎥 Finding the point not graphed
        • 🎥 Quadrants of the coordinate plane
        • 🎥 Points and quadrants example
        • 🎥 Coordinate plane word problem examples
        • 🎥 Reflecting points in the coordinate plane
    • Properties of numbers
      • Properties of numbers
      • Whole numbers & integers
      • Least common multiple
        • 🎥 Least common multiple
        • 🎥 Least common multiple: repeating factors
        • 🎥 Least common multiple of three numbers
      • Greatest common factor
        • 🎥 Greatest common factor examples
        • 🎥 Greatest common factor explained
        • 🎥 Factor with the distributive property
        • 🎥 GCF & LCM word problems
    • Variables & expressions
      • Parts of algebraic expressions
        • 🎥 What is a variable?
        • 🎥 Terms, factors, & coefficients
        • 🎥 Why aren't we using the multiplication sign?
      • Substitution & evaluating expressions
        • 🎥 Evaluating an expression with one variable
        • 🎥 Evaluating exponent expressions with variables
        • 🎥 Evaluating expressions with two variables
        • 🎥 Evaluating expressions with two variables: fractions & decimals
      • Expression value intuition
        • 🎥 Expression value intuition
      • Evaluating expressions word problems
        • 🎥 Evaluating expressions with variables: temperature
        • 🎥 Evaluating expressions with variables: cubes
        • 🎥 Evaluating expressions with variables: exponents
      • Writing algebraic expressions introduction
        • 🎥 Writing basic expressions with variables
        • 🎥 Writing expressions with variables
        • 🎥 Writing expressions with variables & parentheses
      • Writing basic algebraic expressions word problems
        • 🎥 Writing basic expressions word problems
        • 🎥 Writing expressions word problems
      • Combining like terms
        • 🎥 Intro to combining like terms
        • 🎥 Combining like terms
        • 🎥 Combining like terms example
        • 🎥 Combining like terms with distribution
      • Distributive property with variables
        • 🎥 Distributive property over addition
        • 🎥 Distributive property over subtraction
        • 🎥 Distributive property with variables
      • Equivalent expressions
        • 🎥 Equivalent expressions
    • Equations & inequalities introduction
      • Algebraic equations basics
        • 🎥 Variables, expressions, & equations
        • 🎥 Testing solutions to equations
      • One-step equations intuition
        • 🎥 Same thing to both sides of equations
        • 🎥 Representing a relationship with an equation
        • 🎥 Dividing both sides of an equation
        • 🎥 One-step equations intuition
      • One-step addition & subtraction equations
        • 🎥 One-step addition & subtraction equations
        • 🎥 One-step subtraction equations
        • 🎥 One-step addition & subtraction equations: fractions & decimals
      • One-step multiplication and division equations
        • 🎥 One-step division equations
        • 🎥 One-step multiplication equations
        • 🎥 One-step multiplication & division equations: fractions & decimals
      • Finding mistakes in one-step equations
        • 🎥 Finding mistakes in one-step equations
      • One-step equation word problems
        • 🎥 Modeling with one-step equations
        • 🎥 One-step equations word problem: super yoga (1 of 2)
        • 🎥 One-step equations word problem: super yoga (2 of 2)
      • Intro to inequalities with variables
        • 🎥 Testing solutions to inequalities
        • 🎥 Plotting inequalities
        • 🎥 Plotting an inequality example
        • 🎥 Inequalities word problems
      • Dependent and independent variables
        • 🎥 Dependent & independent variables
        • 🎥 Dependent & independent variables: graphing
        • 🎥 Dependent & independent variables: equation
    • Geometry
      • Areas of parallelograms
        • 🎥 Area of a parallelogram
        • 🎥 Finding height of a parallelogram
      • Areas of triangles
        • 🎥 Area of a triangle
        • 🎥 Finding area of triangle
        • 🎥 Triangle missing side example
      • Area of trapezoids & composite figures
        • 🎥 Area of trapezoids
        • 🎥 Area of kites
        • 🎥 Finding area by rearranging parts
        • 🎥 Area of composite shapes
      • Geometric solids (3D shapes)
        • 🎥 Counting faces and edges of 3D shapes
        • 🎥 Recognizing common 3D shapes
      • Volume with fractions
        • 🎥 Volume with fractional cubes
        • 🎥 Volume of a rectangular prism: fractional dimensions
        • 🎥 How volume changes from changing dimensions
        • 🎥 Volume of a rectangular prism: word problem
      • Surface area
        • 🎥 Intro to nets of polyhedra
        • 🎥 Surface area using a net: triangular prism
        • 🎥 Surface area using a net: rectangular prism
        • 🎥 Surface area of a box (cuboid)
        • 🎥 Surface area of a box using nets
        • 🎥 Surface area word problem example
      • Polygons on the coordinate plane
        • 🎥 Drawing a quadrilateral on the coordinate plane example
        • 🎥 Area of a parallelogram on the coordinate plane
        • 🎥 Coordinates of a missing vertex
        • 🎥 Example of shapes on a coordinate plane
        • 🎥 Dimensions of a rectangle from coordinates
        • 🎥 Coordinates of rectangle example
        • 🎥 Parallelogram on the coordinate plane
    • Data and statistics
      • Dot plots & frequency tables
        • 🎥 Representing data
        • 🎥 Frequency tables & dot plots
      • Statistical questions
        • 🎥 Statistical questions
      • Histograms
        • 🎥 Creating a histogram
        • 🎥 Interpreting a histogram
      • Mean and median
        • 🎥 Statistics intro: Mean, median, & mode
        • 🎥 Mean, median, & mode example
      • Mean and median challenge problems
        • 🎥 Missing value given the mean
        • 🎥 Median & range puzzlers
        • 🎥 Impact on median & mean: removing an outlier
        • 🎥 Impact on median & mean: increasing an outlier
      • Interquartile range (IQR)
        • 🎥 Interquartile range (IQR)
      • Box plots
        • 🎥 Reading box plots
        • 🎥 Constructing a box plot
        • 🎥 Worked example: Creating a box plot (odd number of data points)
        • 🎥 Worked example: Creating a box plot (even number of data points)
        • 🎥 Interpreting box plots
      • Mean absolute deviation (MAD)
        • 🎥 Mean absolute deviation (MAD)
        • 🎥 Mean absolute deviation example
      • Comparing data displays
        • 🎥 Comparing dot plots, histograms, and box plots
      • Shape of data distributions
        • 🎥 Shapes of distributions
        • 🎥 Clusters, gaps, peaks & outliers
  • 7th grade
    • Negative numbers: addition and subtraction
      • Intro to adding negative numbers
        • 🎥 Adding negative numbers example
        • 🎥 Adding numbers with different signs
        • 🎥 Missing numbers on the number line examples
      • Intro to subtracting negative numbers
        • 🎥 Adding & subtracting negative numbers
        • 🎥 Subtracting a negative = adding a positive
      • Adding & subtracting with negatives on the number line
        • 🎥 Adding negative numbers on the number line
        • 🎥 Number equations & number lines
        • 🎥 Interpreting numeric expressions example
      • Adding & subtracting integers
        • 🎥 Adding numbers with different signs
        • 🎥 Addition & subtraction: find the missing value (part 1 of 2)
        • 🎥 Addition & subtraction: find the missing value (part 2 of 2)
      • Adding & subtracting negative fractions
        • 🎥 Adding fractions with different signs
        • 🎥 Adding & subtracting fractions
      • Addition & subtraction word problems with negatives
        • 🎥 Interpreting negative number statements
        • 🎥 Negative number word problem: temperatures
        • 🎥 Negative number word problem: Alaska
      • Absolute value
        • 🎥 Absolute value as distance between numbers
        • 🎥 Interpreting absolute value as distance
        • 🎥 Justification for |a - b| = |b - a|
      • Properties of addition & subtraction
        • 🎥 Equivalent expressions with negative numbers
      • Adding & subtracting negative numbers: variables
        • 🎥 Substitution with negative numbers
        • 🎥 Ordering expressions
    • Negative numbers: multiplication and division
      • Multiply & divide negative numbers
        • 🎥 Multiplying positive & negative numbers
        • 🎥 Dividing positive and negative numbers
        • 🎥 Why a negative times a negative makes sense
        • 🎥 Why a negative times a negative is a positive
      • Multiplication & division word problems with negatives
        • 🎥 Interpreting multiplication & division of negative numbers
      • Understanding multiplying and dividing fractions
        • 🎥 Negative signs in fractions
        • 🎥 Simplifying complex fractions
        • 🎥 Expressions with rational numbers
      • Multiply & divide negative fractions
        • 🎥 Multiplying positive and negative fractions
        • 🎥 Dividing negative fractions
        • 🎥 Dividing mixed numbers
      • Exponents with negative bases
        • 🎥 Exponents with negative bases
        • 🎥 The 0 & 1st power
        • 🎥 Even & odd numbers of negatives
        • 🎥 1 and -1 to different powers
        • 🎥 Sign of expressions challenge problems
        • 🎥 Powers of zero
      • Dividing by zero
        • 🎥 Why dividing by zero is undefined
      • Order of operations
        • 🎥 Intro to order of operations
        • 🎥 Worked example: Order of operations (PEMDAS)
        • 🎥 Order of operations example
      • Properties of multiplication & division
        • 🎥 Equivalent expressions with negative numbers (multiplication and division)
    • Fractions, decimals, & percentages
      • Converting fractions to decimals
        • 🎥 Decimal to simplified fraction
        • 🎥 Worked example: Converting a fraction (7/8) to a decimal
        • 🎥 Fraction to decimal: 11/25
        • 🎥 Fraction to decimal with rounding
      • Adding & subtracting rational numbers
        • 🎥 Comparing rational numbers
        • 🎥 Adding & subtracting rational numbers: 79% - 79.1 - 58 1/10
        • 🎥 Adding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150%
      • Percent word problems
        • 🎥 Solving percent problems
        • 🎥 Percent word problem: magic club
        • 🎥 Percent word problem: guavas
        • 🎥 Percent word problems: tax and discount
      • Rational number word problems
        • 🎥 Rational number word problem: school report
        • 🎥 Rational number word problem: cosmetics
        • 🎥 Rational number word problem: cab
        • 🎥 Rational number word problem: ice
        • 🎥 Rational number word problem: computers
        • 🎥 Rational number word problem: stock
        • 🎥 Rational number word problem: checking account
    • Rates & proportional relationships
      • Rate problems with fractions
        • 🎥 Rates with fractions
      • Constant of proportionality
        • 🎥 Identifying constant of proportionality graphically
        • 🎥 Constant of proportionality from equation
        • 🎥 Constant of proportionality from table
        • 🎥 Comparing proportionality constants
        • 🎥 Interpret proportionality constants
      • Identifying proportional relationships
        • 🎥 Intro to proportional relationships
        • 🎥 Proportional relationships: movie tickets
        • 🎥 Proportional relationships: bananas
        • 🎥 Proportional relationships: spaghetti
        • 🎥 Proportional relationships: graphs
        • 🎥 Proportional relationships
        • 🎥 Is side length & area proportional?
        • 🎥 Is side length & perimeter proportional?
      • Graphs of proportional relationships
        • 🎥 Interpreting graphs of proportional relationships
      • Writing & solving proportions
        • 🎥 Worked example: Solving proportions
        • 🎥 Writing proportions example
        • 🎥 Proportion word problem: cookies
        • 🎥 Proportion word problem: hot dogs
      • Equations of proportional relationships
        • 🎥 Equations for proportional relationships
        • 🎥 Writing proportional equations
    • Expressions, equations, & inequalities
      • Combining like terms
        • 🎥 Intro to combining like terms
        • 🎥 Simplifying expressions
        • 🎥 Combining like terms challenge problem
        • 🎥 Simplifying expressions with rational numbers
      • The distributive property & equivalent expressions
        • 🎥 The distributive property with variables
        • 🎥 Factoring with the distributive property
        • 🎥 Equivalent expressions: negative numbers & distribution
      • Interpreting linear expressions
        • 🎥 Interpreting linear expressions: diamonds
        • 🎥 Interpreting linear expressions: flowers
      • Two-step equations intro
        • 🎥 Same thing to both sides of equations
        • 🎥 Intro to two-step equations
        • 🎥 Two-step equations intuition
        • 🎥 Worked example: two-step equations
      • Two-step equations with decimals and fractions
        • 🎥 Two-step equations with decimals and fractions
        • 🎥 Two-step equations with decimals and fractions
        • 🎥 Find the mistake: two-step equations
      • Two-step equation word problems
        • 🎥 Two-step equation word problem: computers
        • 🎥 Two-step equation word problem: garden
        • 🎥 Two-step equation word problem: oranges
      • One-step inequalities
        • 🎥 One-step inequalities examples
        • 🎥 One-step inequalities: -5c ≤ 15
        • 🎥 One-step inequality word problem
      • Two-step inequalities
        • 🎥 Two-step inequalities
        • 🎥 Two-step inequality word problem: apples
        • 🎥 Two-step inequality word problem: R&B
    • Geometry
      • Area and circumference of circles
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Labeling parts of a circle
        • 🎥 Radius & diameter from circumference
        • 🎥 Relating circumference and area
        • 🎥 Area of a circle
        • 🎥 Partial circle area and arc length
      • Area and circumference challenge problems
        • 🎥 Finding circumference of a circle when given the area
        • 🎥 Area of a shaded region
        • 🎥 Impact of increasing the radius
      • Vertical, complementary, and supplementary angles
        • 🎥 Angles: introduction
        • 🎥 Complementary & supplementary angles
        • 🎥 Vertical angles
      • Missing angle problems
        • 🎥 Find measure of vertical angles
        • 🎥 Find measure of angles word problem
        • 🎥 Equation practice with complementary angles
        • 🎥 Equation practice with supplementary angles
        • 🎥 Equation practice with vertical angles
      • Constructing triangles
        • 🎥 Construct a right isosceles triangle
        • 🎥 Construct a triangle with constraints
        • 🎥 Triangle inequality theorem
        • 🎥 Ordering triangle sides and angles example
      • Slicing geometric shapes
        • 🎥 Slicing a rectangular pyramid
      • Scale drawings
        • 🎥 Exploring scale copies
        • 🎥 Corresponding points and sides of scaled shapes
        • 🎥 Identifying scale copies
        • 🎥 Identifying scale factors
        • 🎥 Identifying values in scale drawings
        • 🎥 Scale drawing: centimeters to kilometers
        • 🎥 Interpreting a scale drawing
        • 🎥 Making a scale drawing
        • 🎥 Scale factors and area
        • 🎥 Solving a scale drawing word problem
      • Volume and surface area word problems
        • 🎥 Volume word problem: gold ring
        • 🎥 Volume of triangular prism & cube
        • 🎥 Volume of rectangles inside rectangles
    • Statistics and probability
      • Basic probability
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
        • 🎥 Experimental probability
        • 🎥 Intuitive sense of probabilities
      • Probability models
        • 🎥 Theoretical and experimental probabilites
        • 🎥 Making predictions with probability
        • 🎥 Probability models example: frozen yogurt
      • Compound events and sample spaces
        • 🎥 Sample spaces for compound events
        • 🎥 Die rolling probability
        • 🎥 Probability of a compound event
        • 🎥 Counting outcomes: flower pots
        • 🎥 Count outcomes using tree diagram
      • Comparing and sampling populations
        • 🎥 Reasonable samples
        • 🎥 Comparing distributions with dot plots (example problem)
  • 8th grade
    • Numbers and operations
      • Repeating decimals
        • 🎥 Converting a fraction to a repeating decimal
        • 🎥 Converting repeating decimals to fractions (part 1 of 2)
        • 🎥 Converting repeating decimals to fractions (part 2 of 2)
      • Square roots & cube roots
        • 🎥 Intro to square roots
        • 🎥 Intro to cube roots
        • 🎥 Worked example: Cube root of a negative number
        • 🎥 Square root of decimal
        • 🎥 Dimensions of a cube from its volume
      • Irrational numbers
        • 🎥 Intro to rational & irrational numbers
        • 🎥 Classifying numbers: rational & irrational
        • 🎥 Classifying numbers
        • 🎥 Worked example: classifying numbers
      • Approximating irrational numbers
        • 🎥 Approximating square roots
        • 🎥 Comparing irrational numbers with radicals
        • 🎥 Approximating square roots to hundredths
        • 🎥 Comparing values with calculator
      • Exponent properties intro
        • 🎥 Exponent properties with products
        • 🎥 Exponent properties with parentheses
        • 🎥 Exponent properties with quotients
      • Negative exponents
        • 🎥 Negative exponents
        • 🎥 Negative exponent intuition
      • Exponent properties (integer exponents)
        • 🎥 Multiplying & dividing powers (integer exponents)
        • 🎥 Powers of products & quotients (integer exponents)
        • 🎥 Powers of zero
      • Working with powers of 10
        • 🎥 Multiplying multiples of powers of 10
        • 🎥 Approximating with powers of 10
      • Scientific notation intro
        • 🎥 Scientific notation example: 0.0000000003457
        • 🎥 Scientific notation examples
      • Arithmetic with numbers in scientific notation
        • 🎥 Multiplying & dividing in scientific notation
        • 🎥 Multiplying three numbers in scientific notation
        • 🎥 Subtracting in scientific notation
        • 🎥 Simplifying in scientific notation challenge
      • Scientific notation word problems
        • 🎥 Scientific notation word problem: red blood cells
        • 🎥 Scientific notation word problem: U.S. national debt
        • 🎥 Scientific notation word problem: speed of light
    • Solving equations with one unknown
      • Equations with variables on both sides
        • 🎥 Intro to equations with variables on both sides
        • 🎥 Equations with variables on both sides: 20-7x=6x-6
        • 🎥 Equation with variables on both sides: fractions
        • 🎥 Equation with the variable in the denominator
      • Equations with parentheses
        • 🎥 Equations with parentheses
      • Number of solutions to equations
        • 🎥 Number of solutions to equations
        • 🎥 Worked example: number of solutions to equations
        • 🎥 Creating an equation with no solutions
        • 🎥 Creating an equation with infinitely many solutions
      • Equations word problems
        • 🎥 Sums of consecutive integers
        • 🎥 Sum of integers challenge
      • Equations & geometry
        • 🎥 Equation practice with segment addition
        • 🎥 Equation practice with midpoints
        • 🎥 Equation practice with vertical angles
        • 🎥 Equation practice with complementary angles
        • 🎥 Equation practice with supplementary angles
    • Linear equations and functions
      • Graphing proportional relationships
        • 🎥 Rates & proportional relationships example
        • 🎥 Rates & proportional relationships: gas mileage
        • 🎥 Graphing proportional relationships: unit rate
        • 🎥 Graphing proportional relationships from a table
        • 🎥 Graphing proportional relationships from an equation
      • Solutions to linear equations
        • 🎥 Intro to the coordinate plane
        • 🎥 Solutions to 2-variable equations
        • 🎥 Worked example: solutions to 2-variable equations
        • 🎥 Completing solutions to 2-variable equations
      • Intercepts
        • 🎥 Intro to intercepts
        • 🎥 x-intercept of a line
        • 🎥 Intercepts from an equation
        • 🎥 Intercepts from a table
        • 🎥 Worked example: intercepts from an equation
      • Slope
        • 🎥 Intro to slope
        • 🎥 Slope & direction of a line
        • 🎥 Positive & negative slope
        • 🎥 Worked example: slope from graph
        • 🎥 Slope of a line: negative slope
        • 🎥 Worked example: slope from two points
        • 🎥 Slope from equation
        • 🎥 Converting to slope-intercept form
        • 🎥 Slope of a horizontal line
      • Intro to slope-intercept form
        • 🎥 Intro to slope-intercept form
        • 🎥 Worked examples: slope-intercept intro
      • Graphing slope-intercept form
        • 🎥 Graph from slope-intercept equation
      • Writing slope-intercept equations
        • 🎥 Slope-intercept equation from graph
        • 🎥 Slope-intercept equation from slope & point
        • 🎥 Slope-intercept equation from two points
        • 🎥 Slope-intercept form problems
        • 🎥 Slope-intercept form from a table
      • Functions & function notation
        • 🎥 What is a function?
        • 🎥 Worked example: Evaluating functions from equation
        • 🎥 Function notation example
        • 🎥 Worked example: evaluating functions from graph
        • 🎥 Equations vs. functions
        • 🎥 Manipulating formulas: temperature
        • 🎥 Obtaining a function from an equation
      • Linear models
        • 🎥 Linear graphs word problems
        • 🎥 Linear graphs word problem: cats
        • 🎥 Linear equations word problems: volcano
        • 🎥 Linear equations word problems: earnings
        • 🎥 Modeling with linear equations: snow
        • 🎥 Linear function example: spending money
        • 🎥 Fitting a line to data
      • Comparing linear functions
        • 🎥 Comparing linear functions: equation vs. graph
        • 🎥 Comparing linear functions: table vs. graph
        • 🎥 Comparing linear functions: table vs. graph
        • 🎥 Comparing linear functions word problem: climb
        • 🎥 Comparing linear functions word problem: walk
        • 🎥 Comparing linear functions word problem: work
      • Constructing linear models for real-world relationships
        • 🎥 Linear functions word problem: fuel
        • 🎥 Linear functions word problem: pool
        • 🎥 Modeling with linear equations: gym membership & lemonade
        • 🎥 Linear functions word problem: iceberg
        • 🎥 Linear functions word problem: paint
      • Recognizing functions
        • 🎥 Testing if a relationship is a function
        • 🎥 Relations and functions
        • 🎥 Recognizing functions from graph
        • 🎥 Checking if a table represents a function
        • 🎥 Recognizing functions from table
        • 🎥 Checking if an equation represents a function
        • 🎥 Does a vertical line represent a function?
        • 🎥 Recognizing functions from verbal description
        • 🎥 Recognizing functions from verbal description word problem
      • Linear and nonlinear functions
        • 🎥 Recognizing linear functions
        • 🎥 Linear & nonlinear functions: table
        • 🎥 Linear & nonlinear functions: word problem
        • 🎥 Linear & nonlinear functions: missing value
        • 🎥 Interpreting a graph example
    • Systems of equations
      • Systems of equations overview
        • 🎥 Systems of equations: trolls, tolls (1 of 2)
        • 🎥 Systems of equations: trolls, tolls (2 of 2)
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with substitution: potato chips
        • 🎥 Systems of equations number of solutions: fruit prices (1 of 2)
        • 🎥 Systems of equations number of solutions: fruit prices (2 of 2)
      • Intro to systems of equations
        • 🎥 Systems of equations: trolls, tolls (1 of 2)
        • 🎥 Systems of equations: trolls, tolls (2 of 2)
        • 🎥 Testing a solution to a system of equations
      • Systems of equations with graphing
        • 🎥 Systems of equations with graphing
        • 🎥 Systems of equations with graphing: 5x+3y=7 & 3x-2y=8
        • 🎥 Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
        • 🎥 Systems of equations with graphing: chores
        • 🎥 Systems of equations with graphing: exact & approximate solutions
      • Solving systems with elimination
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: 3t+4g=6 & -6t+g=6
        • 🎥 Systems of equations with elimination: x+2y=6 & 4x-2y=14
        • 🎥 Systems of equations with elimination: -3y+4x=11 & y+2x=13
        • 🎥 Systems of equations with elimination: 2x-y=14 & -6x+3y=-42
        • 🎥 Systems of equations with elimination: 4x-2y=5 & 2x-y=2.5
        • 🎥 Systems of equations with elimination: x-4y=-18 & -x+3y=11
        • 🎥 Systems of equations with elimination: 6x-6y=-24 & -5x-5y=-60
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with elimination (and manipulation)
        • 🎥 Why can we subtract one equation from the other in a system of equations?
        • 🎥 Worked example: equivalent systems of equations
        • 🎥 Worked example: non-equivalent systems of equations
      • Solving systems with substitution
        • 🎥 Systems of equations with substitution: 2y=x+7 & x=y-4
        • 🎥 Systems of equations with substitution: y=4x-17.5 & y+2x=6.5
        • 🎥 Systems of equations with substitution: -3x-4y=-2 & y=2x-5
        • 🎥 Systems of equations with substitution: 9x+3y=15 & y-x=5
        • 🎥 Systems of equations with substitution: y=-5x+8 & 10x+2y=-2
        • 🎥 Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120
      • Number of solutions to systems of equations
        • 🎥 Systems of equations number of solutions: fruit prices (1 of 2)
        • 🎥 Systems of equations number of solutions: fruit prices (2 of 2)
        • 🎥 Solutions to systems of equations: consistent vs. inconsistent
        • 🎥 Solutions to systems of equations: dependent vs. independent
        • 🎥 Number of solutions to a system of equations
        • 🎥 Number of solutions to a system of equations graphically
        • 🎥 Number of solutions to a system of equations algebraically
        • 🎥 How many solutions does a system of linear equations have if there are at least two?
      • Systems of equations word problems
        • 🎥 Age word problem: Imran
        • 🎥 Age word problem: Ben & William
        • 🎥 Age word problem: Arman & Diya
        • 🎥 System of equations word problem: walk & ride
        • 🎥 System of equations word problem: no solution
        • 🎥 System of equations word problem: infinite solutions
        • 🎥 Systems of equations with elimination: TV & DVD
        • 🎥 Systems of equations with elimination: apples and oranges
        • 🎥 Systems of equations with substitution: coins
        • 🎥 Systems of equations with elimination: coffee and croissants
    • Geometry
      • Angles between intersecting lines
        • 🎥 Angles, parallel lines, & transversals
        • 🎥 Parallel & perpendicular lines
        • 🎥 Missing angles with a transversal
        • 🎥 Measures of angles formed by a transversal
      • Triangle angles
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Isosceles & equilateral triangles problems
        • 🎥 Triangle exterior angle example
        • 🎥 Worked example: Triangle angles (intersecting lines)
        • 🎥 Worked example: Triangle angles (diagram)
        • 🎥 Triangle angle challenge problem
        • 🎥 Triangle angle challenge problem 2
      • Pythagorean theorem
        • 🎥 Intro to the Pythagorean theorem
        • 🎥 Pythagorean theorem example
        • 🎥 Pythagorean theorem with isosceles triangle
      • Pythagorean theorem application
        • 🎥 Use Pythagorean theorem to find area of an isosceles triangle
        • 🎥 Pythagorean theorem word problem: carpet
        • 🎥 Pythagorean theorem word problem: fishing boat
        • 🎥 Pythagorean theorem in 3D
      • Pythagorean theorem and distance between points
        • 🎥 Distance formula
      • Pythagorean theorem proofs
        • 🎥 Garfield's proof of the Pythagorean theorem
        • 🎥 Bhaskara's proof of the Pythagorean theorem
        • 🎥 Pythagorean theorem proof using similarity
        • 🎥 Another Pythagorean theorem proof
      • Volume
        • 🎥 Cylinder volume & surface area
        • 🎥 Volume of a sphere
        • 🎥 Volume of a cone
    • Geometric transformations
      • Transformations intro
        • 🎥 Rigid transformations intro
        • 🎥 Dilations intro
        • 🎥 Identifying transformations
      • Translations
        • 🎥 Translating points
        • 🎥 Translating shapes
        • 🎥 Determining translations
      • Rotations
        • 🎥 Rotating points
        • 🎥 Determining rotations
      • Reflections
        • 🎥 Reflecting points
        • 🎥 Reflecting shapes
        • 🎥 Determining reflections
      • Properties & definitions of transformations
        • 🎥 Finding measures using rigid transformations
        • 🎥 Rigid transformations: preserved properties
        • 🎥 Mapping shapes
      • Dilations
        • 🎥 Dilating points
        • 🎥 Dilations: scale factor
        • 🎥 Dilating shapes: expanding
        • 🎥 Dilating shapes: shrinking
        • 🎥 Dilations and properties
      • Congruence and similarity
        • 🎥 Congruent shapes & transformations
        • 🎥 Non-congruent shapes & transformations
        • 🎥 Similar shapes & transformations
        • 🎥 Side lengths after dilation
    • Data and modeling
      • Introduction to scatter plots
        • 🎥 Constructing a scatter plot
      • Interpreting scatter plots
        • 🎥 Scatter plots: studying, shoe size, and test scores
        • 🎥 Scatter plot: smokers
      • Estimating lines of best fit
        • 🎥 Estimating the line of best fit exercise
        • 🎥 Line of best fit: smoking in 1945
        • 🎥 Estimating with linear regression (linear models)
        • 🎥 Interpreting a trend line
      • Two-way tables
        • 🎥 Two-way frequency tables and Venn diagrams
        • 🎥 Two-way relative frequency tables
        • 🎥 Interpreting two-way tables
  • Class 5 (India)
    • Review of shapes, operations and large numbers
      • Revision of shapes, estimation, simple operations, large numbers
        • 🎥 Comparing place values
        • 🎥 Regrouping numbers into various place values
        • 🎥 Comparing whole number place values
        • 🎥 Place value relationships example
    • Shapes and angles
      • Angles and unit of measurement for angles
        • 🎥 Angle measurement & circle arcs
        • 🎥 Acute, right, & obtuse angles
        • 🎥 Measuring angles in degrees
        • 🎥 Recognizing angles
        • 🎥 Identifying an angle
        • 🎥 Measuring angles using a protractor
        • 🎥 Measuring angles using a protractor 2
    • Area and perimeter - Part 1
      • Areas and patterns
        • 🎥 Counting unit squares to find area formula
        • 🎥 Comparing areas of plots of land
        • 🎥 Area word problem: house size
        • 🎥 Perimeter: introduction
        • 🎥 Perimeter of a shape
        • 🎥 Comparing areas and perimeters of rectangles
        • 🎥 Finding area by rearranging parts
    • Parts and wholes
      • Fraction comparisons and equivalent fractions
        • 🎥 Intro to equivalent fractions
        • 🎥 Recognizing fractions exercise
        • 🎥 Representing 1 as a fraction
        • 🎥 Rational number word problem: ice
        • 🎥 Creating equivalent fractions
        • 🎥 Equivalent fraction visually
        • 🎥 Visualizing equivalent fractions
        • 🎥 Equivalent fraction word problem example
        • 🎥 Equivalent fraction word problem example 3
        • 🎥 Equivalent fraction word problem example 4
        • 🎥 Comparing fractions of different wholes 1
        • 🎥 Comparing fractions with > and < symbols
        • 🎥 Comparing and ordering fractions
        • 🎥 Expressions with rational numbers
        • 🎥 Rate problem using fractions
        • 🎥 Fraction word problem: pizza
        • 🎥 Fractions cut and copy 2 exercise example
    • Symmetry
      • Line of symmetry
        • 🎥 Intro to reflective symmetry
      • Rotational symmetry
        • 🎥 Intro to rotational symmetry
    • Factors and multiples
      • Factors and multiples
        • 🎥 Finding factors of a number
        • 🎥 Finding factors and multiples
        • 🎥 Finding factors
    • Patterns
      • Patterns
        • 🎥 Graphing patterns on coordinate plane
        • 🎥 Interpreting patterns on coordinate plane
        • 🎥 Interpreting relationships in ordered pairs
        • 🎥 Graphing sequence relationships
    • Visualizing 3-D objects
      • Representing 3-D objects on paper in the form of nets
        • 🎥 Intro to nets of polyhedra
        • 🎥 Surface area using a net: rectangular prism
    • Decimals
      • Decimals
        • 🎥 Writing decimal numbers shown in grids
        • 🎥 Rewriting a fraction as a decimal: 3/5
        • 🎥 Rewriting a fraction as a decimal: 6/12
        • 🎥 Rewriting a fraction as a decimal: 21/60
        • 🎥 Rewriting decimals as fractions: 0.15
        • 🎥 Rewriting decimals as fractions: 0.8
        • 🎥 Rewriting decimals as fractions: 0.36
        • 🎥 Comparing decimals 1
        • 🎥 Converting units: centimeters to meters
        • 🎥 Subtracting decimals: 9.57-8.09
        • 🎥 Subtracting decimals: 10.1-3.93
        • 🎥 Adding & subtracting decimals word problem
        • 🎥 Rational number word problem: checking account
    • Area and perimeter - Part 2
      • Area and perimeter
        • 🎥 Intro to area and unit squares
        • 🎥 Counting unit squares to find area formula
        • 🎥 Comparing areas word problem
        • 🎥 Perimeter: introduction
        • 🎥 Perimeter of a shape
        • 🎥 Area & perimeter word problem: dog pen
        • 🎥 Comparing areas and perimeters of rectangles
    • Ways to multiply and divide
      • Strategies for multiplication and division
        • 🎥 Multiplying multi-digit numbers
        • 🎥 Multiplication 7: Old video giving more examples
        • 🎥 Constructing numerical expressions
        • 🎥 Partial quotient method of division
        • 🎥 Partial quotient method of division 2
        • 🎥 Multiple units word problem: road trip
    • Volume and weight
      • Volume
        • 🎥 Conversion between metric units
      • Weight
        • 🎥 Metric system: units of weight
        • 🎥 Multiple units word problem: drug dosage (advanced)
  • Class 6 (India)
    • Knowing our numbers
      • Comparing 3-digit numbers
        • 🎥 Comparing whole numbers
      • Comparing multi-digit numbers
        • 🎥 Comparing multi-digit numbers
        • 🎥 Comparing whole number place values
        • 🎥 Comparing multi-digit whole numbers word problems
      • Lakhs, crores, millions, and billions
        • 🎥 Intro to lakhs and crores
        • 🎥 Reading and writing large numbers
        • 🎥 Intro to millions and billions
      • Word problems involving lakhs and crores
      • System of measurement
        • 🎥 Metric system: units of distance
        • 🎥 Metric system: units of volume
        • 🎥 Metric system: units of weight
        • 🎥 Converting metric units of length
        • 🎥 How to convert kg to mg and T to oz
        • 🎥 Multi-step unit conversion examples (metric)
      • Rounding
        • 🎥 Rounding to nearest 10
        • 🎥 Rounding to nearest 100
        • 🎥 Rounding to nearest 10 and 100
      • Rounding whole numbers
        • 🎥 Rounding whole numbers to nearest hundred
        • 🎥 Rounding whole numbers to nearest thousand
        • 🎥 Rounding whole numbers to nearest ten
        • 🎥 Rounding whole numbers: missing digit
        • 🎥 Rounding whole numbers word problems
        • 🎥 2-step estimation problem: marbles
        • 🎥 Multiplication estimation example
      • Roman numerals
        • 🎥 Intro to Roman numerals
        • 🎥 Reading and writing Roman numerals
        • 🎥 Roman numerals worked example
    • Whole numbers
      • Number line of whole numbers
        • 🎥 Number line 1
      • Arithmetic properties of whole numbers
        • 🎥 Properties of multiplication
        • 🎥 Properties and patterns for multiplication
        • 🎥 Commutative law of addition
        • 🎥 Commutative law of multiplication
        • 🎥 Associative law of addition
        • 🎥 Associative law of multiplication
        • 🎥 Identity property of 1
        • 🎥 Identity property of 0
        • 🎥 Inverse property of addition
        • 🎥 Inverse property of multiplication
      • Distributive property
        • 🎥 Distributive property over addition
        • 🎥 Distributive property over subtraction
        • 🎥 Distributive property exercise examples
    • Playing with numbers
      • Factors and multiples
        • 🎥 Finding factors of a number
        • 🎥 Finding factors and multiples
      • Prime and composite numbers
        • 🎥 Prime numbers
        • 🎥 Recognizing prime and composite numbers
      • Divisibility tests
        • 🎥 Divisibility tests for 2, 3, 4, 5, 6, 9, 10
        • 🎥 Recognizing divisibility
        • 🎥 The why of the 3 divisibility rule
        • 🎥 The why of the 9 divisibility rule
      • Prime factorisation
        • 🎥 Prime factorization
        • 🎥 Prime factorization exercise
        • 🎥 Common divisibility examples
      • Common factors and multiples
      • Lowest common multiple
        • 🎥 Least common multiple
        • 🎥 Least common multiple: repeating factors
        • 🎥 Least common multiple of three numbers
      • Highest common factor
        • 🎥 Greatest common factor examples
        • 🎥 Greatest common factor explained
        • 🎥 GCF & LCM word problems
    • Basic geometrical ideas
      • Lines, line segments, and rays
        • 🎥 Terms & labels in geometry
        • 🎥 Lines, line segments, & rays
      • Angle introduction
        • 🎥 Angles: introduction
        • 🎥 Naming angles
      • Introduction to polygons
        • 🎥 Cousin Fal's shape collection
        • 🎥 Recognizing shapes
        • 🎥 Vertices, sides, and diagonals of a polygon
      • Curves and polygons
        • 🎥 Intro to curves
        • 🎥 Polygons as special curves
        • 🎥 Circles glossary
    • Understanding elementary shapes
      • Angle types
        • 🎥 Acute, right, & obtuse angles
        • 🎥 Recognizing angles
        • 🎥 Drawing acute, right and obtuse angles
        • 🎥 Identifying an angle
      • Measuring angles
        • 🎥 Measuring angles in degrees
        • 🎥 Measuring angles using a protractor
        • 🎥 Measuring angles using a protractor 2
      • Constructing angles
        • 🎥 Constructing angles
      • Parallel and perpendicular
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines
        • 🎥 Drawing parallel line segments
      • Classifying triangles
        • 🎥 Classifying triangles
        • 🎥 Classifying triangles by angles
        • 🎥 Worked example: Classifying triangles
      • Quadrilaterals
        • 🎥 Intro to quadrilaterals
      • Geometric solids (3D shapes)
        • 🎥 Counting faces and edges of 3D shapes
        • 🎥 Recognizing common 3D shapes
    • Integers
      • Intro to negative numbers
        • 🎥 Intro to negative numbers
      • Number opposites
        • 🎥 Number opposites
        • 🎥 Negative symbol as opposite
        • 🎥 Number opposites challenge problems
      • Absolute value
        • 🎥 Absolute value examples
        • 🎥 Identify and order absolute values
        • 🎥 Comparing absolute values
        • 🎥 Placing absolute values on the number line
        • 🎥 Absolute value as distance between numbers
        • 🎥 Absolute value word problems
      • Order integers
        • 🎥 Ordering negative numbers
      • Introduction to adding integers
        • 🎥 Adding negative numbers example
        • 🎥 Adding numbers with different signs
      • Introduction to subtracting integers
        • 🎥 Adding & subtracting negative numbers
        • 🎥 Subtracting a negative = adding a positive
      • Adding & subtracting integers
        • 🎥 Adding numbers with different signs
        • 🎥 Addition & subtraction: find the missing value (part 1 of 2)
        • 🎥 Addition & subtraction: find the missing value (part 2 of 2)
      • Adding & subtracting with negatives on the number line
        • 🎥 Adding negative numbers on the number line
        • 🎥 Number equations & number lines
        • 🎥 Interpreting numeric expressions example
    • Fractions
      • Fractions intro
        • 🎥 Intro to fractions
        • 🎥 Cutting shapes into equal parts
        • 🎥 Identifying unit fractions word problem
        • 🎥 More than one equal section
        • 🎥 Recognizing fractions greater than 1
        • 🎥 Identifying numerators and denominators
      • Fractions on the number line
        • 🎥 Fractions on a number line
        • 🎥 Fractions on number line widget
      • Fractions and whole numbers
        • 🎥 Representing 1 as a fraction
        • 🎥 Whole numbers as fractions
      • Equivalent fractions
        • 🎥 Intro to equivalent fractions
        • 🎥 Visualizing equivalent fractions
        • 🎥 More on equivalent fractions
        • 🎥 Equivalent fractions
        • 🎥 Equivalent fractions and different wholes
      • Equivalent fractions on the number line
        • 🎥 Equivalent fraction visually
        • 🎥 Creating equivalent fractions
      • Common denominators
        • 🎥 Finding common denominators
        • 🎥 Common denominators: 3/5 and 7/2
        • 🎥 Common denominators: 1/4 and 5/6
      • Comparing fractions
        • 🎥 Comparing fractions with > and < symbols
        • 🎥 Comparing fractions with like numerators and denominators
        • 🎥 Comparing fractions
        • 🎥 Comparing fractions 2 (unlike denominators)
        • 🎥 Comparing and ordering fractions
        • 🎥 Ordering fractions
      • Mixed numbers
        • 🎥 Rewriting mixed numbers as improper fractions
        • 🎥 Rewriting improper fractions as mixed numbers
        • 🎥 Comparing improper fractions and mixed numbers
        • 🎥 Mixed number or improper fraction on a number line
      • Decomposing fractions
        • 🎥 Decomposing a fraction visually
        • 🎥 Decomposing a mixed number
      • Adding and subtracting fractions with like denominators
        • 🎥 Adding fractions with like denominators
        • 🎥 Subtracting fractions with like denominators
      • Visually adding and subtracting fractions with unlike denominators
        • 🎥 Visually adding fractions: 5/6+1/4
        • 🎥 Visually subtracting fractions: 3/4-5/8
      • Adding and subtracting fractions with unlike denominators
        • 🎥 Adding fractions with unlike denominators
        • 🎥 Subtracting fractions with unlike denominators
        • 🎥 Adding and subtracting 3 fractions
        • 🎥 Solving for the missing fraction
      • Adding and subtracting mixed numbers
        • 🎥 Intro to adding mixed numbers
        • 🎥 Intro to subtracting mixed numbers
      • Adding and subtracting mixed number with unlike denominators
        • 🎥 Adding mixed numbers: 19 3/18 + 18 2/3
        • 🎥 Subtracting mixed numbers: 7 6/9 - 3 2/5
        • 🎥 Adding mixed numbers with regrouping
        • 🎥 Subtracting mixed numbers with regrouping (unlike denominators)
      • Adding and subtracting fractions with unlike denominators word problems
        • 🎥 Adding fractions word problem: paint
        • 🎥 Subtracting fractions word problem: tomatoes
    • Decimals
      • Intro to decimals
        • 🎥 Intro to decimals
        • 🎥 Decimals as words
        • 🎥 Writing decimal numbers shown in grids
      • Decimal place value intro
        • 🎥 Decimal place value
      • Decimals in expanded form
        • 🎥 Write decimal in expanded form
        • 🎥 Convert decimal from expanded form to standard form
      • Decimals in written form
        • 🎥 Decimals in written form (hundredths)
        • 🎥 Decimals in written form (thousandths)
      • Comparing decimal place values
        • 🎥 Comparing decimal place values
      • Comparing decimals
        • 🎥 Comparing decimals: 9.97 and 9.798
        • 🎥 Comparing decimals: 156.378 and 156.348
        • 🎥 Ordering decimals 1
        • 🎥 Ordering decimals 2
        • 🎥 Comparing decimals word problems
      • Decimals on the number line
        • 🎥 Comparing decimal numbers on a number line
        • 🎥 Plotting decimal numbers on a number line
      • Rewriting decimals as fractions
        • 🎥 Writing a number as a fraction and decimal
        • 🎥 Rewriting decimals as fractions: 0.15
        • 🎥 Rewriting decimals as fractions: 0.8
        • 🎥 Rewriting decimals as fractions: 0.36
        • 🎥 Rewriting tricky fractions to decimals
      • Common fractions and decimals
        • 🎥 Common fractions and decimals
      • Adding decimals
      • Adding decimals: standard algorithm
        • 🎥 Adding decimals: 9.087+15.31
        • 🎥 Adding decimals: 0.822+5.65
        • 🎥 Adding three decimals
      • Subtracting decimals
        • 🎥 Subtracting decimals: 9.57-8.09
        • 🎥 Subtracting decimals: 10.1-3.93
      • Subtracting decimals: standard algorithm
        • 🎥 Subtracting decimals: 9.005 - 3.6
        • 🎥 Subtracting decimals: 39.1 - 0.794
      • Adding and subtracting decimals word problems
        • 🎥 Adding decimals word problem
        • 🎥 Adding & subtracting decimals word problem
    • Data Handling
      • Pictographs (Picture graphs)
        • 🎥 Creating picture and bar graphs 1
        • 🎥 Solving problems with pictographs 2
        • 🎥 Interpreting picture graphs: paint
        • 🎥 Interpreting picture graphs: notebook
      • Bar graphs
        • 🎥 Reading bar graphs: bikes
        • 🎥 Reading bar graphs: dog bones
        • 🎥 Creating picture and bar graphs 1
    • Mensuration
      • Count unit squares to find area
        • 🎥 Intro to area and unit squares
        • 🎥 Measuring rectangles with different unit squares
        • 🎥 Measuring area with partial unit squares
        • 🎥 Creating rectangles with a given area 1
        • 🎥 Creating rectangles with a given area 2
      • Multiply to find area
        • 🎥 Counting unit squares to find area formula
        • 🎥 Finding missing side when given area
        • 🎥 Comparing areas of plots of land
      • Area and the distributive property
        • 🎥 Area and the distributive property
      • Decompose figures to find area
        • 🎥 Decomposing shapes to find area: grids
        • 🎥 Decomposing shapes to find area: add
        • 🎥 Decomposing shapes to find area: subtract
        • 🎥 Area word problem: house size
      • Perimeter
        • 🎥 Perimeter: introduction
        • 🎥 Perimeter of a shape
        • 🎥 Finding perimeter when a side length is missing
        • 🎥 Finding missing side length when given perimeter
      • Comparing area and perimeter
        • 🎥 Comparing areas and perimeters of rectangles
      • Area word problems
      • Perimeter word problems
        • 🎥 Perimeter word problem: tables
        • 🎥 Perimeter word problem: skating rink
    • Algebra
      • Overview and history of algebra
        • 🎥 Origins of algebra
        • 🎥 Abstract-ness
        • 🎥 The beauty of algebra
        • 🎥 Why all the letters in algebra?
      • Intro to variables
        • 🎥 What is a variable?
        • 🎥 Why aren't we using the multiplication sign?
      • Substitution & evaluating expressions
        • 🎥 Evaluating an expression with one variable
        • 🎥 Evaluating expressions with two variables
        • 🎥 Evaluating expressions with two variables: fractions & decimals
      • Writing algebraic expressions introduction
        • 🎥 Writing basic expressions with variables
        • 🎥 Writing expressions with variables
        • 🎥 Writing expressions with variables & parentheses
      • Writing basic algebraic expressions word problems
        • 🎥 Writing basic expressions word problems
        • 🎥 Writing expressions word problems
      • Algebraic equations basics
        • 🎥 Variables, expressions, & equations
        • 🎥 Testing solutions to equations
    • Ratio and Proportion
      • Introduction to ratios
        • 🎥 Intro to ratios
        • 🎥 Part:whole ratios
        • 🎥 Solving ratio problems with tables
        • 🎥 Solving ratio problems with graph
      • Ratio word problems
        • 🎥 Scale drawing: centimeters to kilometers
        • 🎥 Part:whole ratio word problem
      • Intro to rates
        • 🎥 Intro to rates
        • 🎥 Solving unit rate problem
        • 🎥 Solving unit price problem
        • 🎥 Multiple rates word problem
        • 🎥 Comparing rates example
        • 🎥 Finding average speed or rate
        • 🎥 Speed translation
      • Identifying proportional relationships
        • 🎥 Intro to proportional relationships
        • 🎥 Proportional relationships: spaghetti
        • 🎥 Proportional relationships: bananas
        • 🎥 Proportional relationships: movie tickets
      • Writing & solving proportions
        • 🎥 Worked example: Solving proportions
        • 🎥 Writing proportions example
        • 🎥 Proportion word problem: hot dogs
        • 🎥 Proportion word problem: cookies
        • 🎥 Multiple units word problem: road trip
    • Symmetry
      • Line of symmetry
        • 🎥 Intro to reflective symmetry
        • 🎥 Identifying symmetrical figures
    • Practical geometry
      • Constructing angles
        • 🎥 Constructing angles
        • 🎥 Drawing acute, right and obtuse angles
        • 🎥 Geometric constructions: angle bisector
      • Constructing perpendiculars
        • 🎥 Geometric constructions: perpendicular line
        • 🎥 Geometric constructions: perpendicular bisector
  • Class 7 (India)
    • Integers
      • Integer addition and subtraction review
      • Arithmetic properties
        • 🎥 Properties of multiplication
        • 🎥 Properties and patterns for multiplication
        • 🎥 Commutative law of addition
        • 🎥 Commutative law of multiplication
        • 🎥 Associative law of addition
        • 🎥 Associative law of multiplication
        • 🎥 Identity property of 1
        • 🎥 Identity property of 0
        • 🎥 Inverse property of addition
        • 🎥 Inverse property of multiplication
      • Multiplying & dividing negative numbers
        • 🎥 Multiplying positive & negative numbers
        • 🎥 Multiplying numbers with different signs
        • 🎥 Dividing positive and negative numbers
        • 🎥 Multiplying and dividing negative numbers
        • 🎥 Why a negative times a negative makes sense
        • 🎥 Why a negative times a negative is a positive
    • Fractions and decimals
      • Multiplying unit fractions and whole numbers
        • 🎥 Multiplying unit fractions and whole numbers
      • Multiplying whole numbers and fractions
        • 🎥 Multiplying fractions and whole numbers visually
        • 🎥 Equivalent fraction and whole number multiplication problems
      • Multiplication as scaling
        • 🎥 Multiplication as scaling with fractions
      • Multiplying fractions
        • 🎥 Intro to multiplying 2 fractions
        • 🎥 Multiplying 2 fractions: fraction model
        • 🎥 Multiplying 2 fractions: number line
        • 🎥 Multiplying 2 fractions: 5/6 x 2/3
        • 🎥 Finding area with fractional sides 1
        • 🎥 Finding area with fractional sides 2
      • Multiplying mixed numbers
        • 🎥 Multiplying mixed numbers
      • Multiplying fractions word problems
        • 🎥 Multiplying fractions word problem: muffins
        • 🎥 Multiplying fractions word problem: laundry
        • 🎥 Multiplying fractions word problem: bike
        • 🎥 Multiplying fractions word problem: pumpkin pie
      • Fractions as division
        • 🎥 Understanding fractions as division
        • 🎥 Creating a fraction through division
        • 🎥 Creating mixed numbers with fraction division
      • Dividing unit fractions by whole numbers
      • Dividing whole numbers by unit fractions
      • Dividing fractions by fractions
        • 🎥 Understanding division of fractions
        • 🎥 Dividing fractions: 2/5 ÷ 7/3
        • 🎥 Dividing fractions: 3/5 ÷ 1/2
      • Dividing fractions word problems
        • 🎥 Dividing whole numbers & fractions: t-shirts
      • Multiplying decimals
        • 🎥 Intro to multiplying decimals
        • 🎥 Multiplying decimals: place value
      • Multiplying decimals: standard algorithm
        • 🎥 Multiplying challenging decimals
      • Dividing decimals
        • 🎥 Dividing whole numbers to get a decimal
      • Dividing decimals: standard algorithm
        • 🎥 Dividing decimals with hundredths
        • 🎥 Dividing decimals completely
        • 🎥 Long division with decimals
        • 🎥 Dividing by a multi-digit decimal
    • Data Handling
      • Mean and median: The basics
        • 🎥 Statistics: The average
        • 🎥 Statistics intro: Mean, median, & mode
        • 🎥 Mean, median, & mode example
      • Interpreting data from bar graphs
        • 🎥 Reading pictographs
        • 🎥 Reading bar graphs
        • 🎥 Reading bar graphs: Harry Potter
        • 🎥 Creating a bar graph
        • 🎥 Reading bar charts: comparing two sets of data
        • 🎥 Reading bar charts: putting it together with central tendency
        • 🎥 Reading pie graphs (circle graphs)
      • Basic theoretical probability
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
        • 🎥 Intuitive sense of probabilities
        • 🎥 The Monty Hall problem
    • Simple equations
      • Algebraic equations basics
        • 🎥 Variables, expressions, & equations
        • 🎥 Testing solutions to equations
      • One-step equations intuition
        • 🎥 Same thing to both sides of equations
        • 🎥 Representing a relationship with an equation
        • 🎥 Dividing both sides of an equation
        • 🎥 One-step equations intuition
      • One-step addition & subtraction equations
        • 🎥 One-step addition & subtraction equations
        • 🎥 One-step subtraction equations
        • 🎥 One-step addition & subtraction equations: fractions & decimals
      • One-step multiplication and division equations
        • 🎥 One-step division equations
        • 🎥 One-step multiplication equations
        • 🎥 One-step multiplication & division equations: fractions & decimals
      • One-step equation word problems
        • 🎥 One-step equations word problem: super yoga (1 of 2)
        • 🎥 One-step equations word problem: super yoga (2 of 2)
        • 🎥 Modeling with one-step equations
    • Lines and angles
      • Vertical, complementary, and supplementary angles
        • 🎥 Complementary & supplementary angles
        • 🎥 Vertical angles
      • Angles between intersecting lines
        • 🎥 Angles, parallel lines, & transversals
        • 🎥 Parallel & perpendicular lines
        • 🎥 Missing angles with a transversal
    • The triangle and its properties
      • Triangle angles
        • 🎥 Triangle exterior angle example
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Worked example: Triangle angles (intersecting lines)
        • 🎥 Worked example: Triangle angles (diagram)
        • 🎥 Triangle angle challenge problem
        • 🎥 Triangle angle challenge problem 2
      • Equilateral and isosceles triangles
        • 🎥 Proofs concerning equilateral triangles
        • 🎥 Isosceles & equilateral triangles problems
      • Triangle inequality theorem
        • 🎥 Triangle inequality theorem
      • Pythagoras theorem
        • 🎥 Intro to the Pythagorean theorem
        • 🎥 Pythagorean theorem example
    • Congruence of triangles
      • Transformations and congruence
        • 🎥 Congruent shapes & transformations
        • 🎥 Non-congruent shapes & transformations
        • 🎥 Performing sequences of transformations
        • 🎥 Determining mappings (incl. dilations)
      • Triangle congruence
        • 🎥 Congruent triangles & the SSS postulate/criterion
        • 🎥 Triangle congruence postulates/criteria
        • 🎥 Why SSA isn't a congruence postulate/criterion
        • 🎥 Determining congruent triangles
    • Comparing quantities
      • Intro to percents
        • 🎥 The meaning of percent
        • 🎥 Meaning of 109%
      • Percent, fraction, decimal conversions
        • 🎥 Converting decimals to percents: 0.601
        • 🎥 Converting decimals to percents: 1.501
        • 🎥 Converting percents to decimals: 59.2%
        • 🎥 Converting percents to decimals: 113.9%
        • 🎥 Converting percents to decimals & fractions example
        • 🎥 Ordering numeric expressions
      • Percent problems
        • 🎥 Finding a percent
        • 🎥 Percent of a whole number
        • 🎥 Identifying percent amount and base
      • Percent word problems
        • 🎥 Percent word problem: 100 is what percent of 80?
        • 🎥 Percent word problem: 78 is 15% of what number?
        • 🎥 Percent word problem: guavas
        • 🎥 Percent word problem: recycling cans
        • 🎥 Percent word problem: penguins
        • 🎥 Growing by a percentage
        • 🎥 Solving percent problems
        • 🎥 Rational number word problem: cosmetics
        • 🎥 Rational number word problem: cab
        • 🎥 Rational number word problem: school report
    • Rational numbers
      • Intro to rational numbers
        • 🎥 Intro to rational & irrational numbers
        • 🎥 Identifying Rational Numbers
      • Comparing rational numbers
        • 🎥 Comparing rational numbers
        • 🎥 Ordering rational numbers
      • Adding & subtracting rational numbers
        • 🎥 Addition of Rational Numbers
        • 🎥 Adding fractions with different signs
        • 🎥 Subtraction of Rational Numbers
        • 🎥 Adding & subtracting rational numbers: 79% - 79.1 - 58 1/10
        • 🎥 Adding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150%
      • Multiplication and division of rational numbers
        • 🎥 Multiplication of Rational Numbers
        • 🎥 Multiplying positive and negative fractions
        • 🎥 Division of Rational Numbers
        • 🎥 Dividing negative fractions
      • Rational number word problems
        • 🎥 Rational number word problem: school report
        • 🎥 Rational number word problem: cosmetics
        • 🎥 Rational number word problem: cab
        • 🎥 Rational number word problem: ice
        • 🎥 Rational number word problem: computers
        • 🎥 Rational number word problem: stock
        • 🎥 Rational number word problem: checking account
    • Practical geometry
      • Construction of triangles when the lengths of its three sides are known (SSS Criterion)
        • 🎥 Construct a triangle with constraints
    • Perimeter and area
      • Area and perimeter
        • 🎥 Area & perimeter word problem: dog pen
        • 🎥 Area & perimeter word problem: table
        • 🎥 Comparing areas word problem
      • Area of triangles
        • 🎥 Area of a triangle
        • 🎥 Area of triangle proof
      • Area of shapes on grids
        • 🎥 Area of a triangle on a grid
        • 🎥 Area of a quadrilateral on a grid
      • Area and circumference of circles
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Labeling parts of a circle
        • 🎥 Radius & diameter from circumference
        • 🎥 Area of a circle
        • 🎥 Area of a circle intuition
      • Area of composite figures
        • 🎥 Area of composite shapes
        • 🎥 Perimeter & area of composite shapes
        • 🎥 Challenge problems: perimeter & area
    • Algebraic Expressions
      • The constituents of an expression
        • 🎥 Terms, factors, & coefficients
      • Combining like terms- part 1/1
        • 🎥 Intro to combining like terms
        • 🎥 Combining like terms
        • 🎥 Combining like terms example
        • 🎥 Combining like terms with distribution
      • Combining like terms- part 2/1
        • 🎥 Simplifying expressions
        • 🎥 Combining like terms challenge problem
        • 🎥 Simplifying expressions with rational numbers
      • Adding & subtracting algebraic expressions
        • 🎥 Adding polynomials
        • 🎥 Subtracting polynomials
        • 🎥 Polynomial subtraction & set closure
        • 🎥 Adding & subtracting multiple polynomials
      • Adding and subtracting algebraic expressions : two variables
        • 🎥 Adding polynomials: two variables
        • 🎥 Subtracting polynomials: two variables
        • 🎥 Subtracting polynomials: two variables challenge
        • 🎥 Finding an error in polynomial subtraction
        • 🎥 Polynomials review
      • Finding the value of an expression
        • 🎥 Evaluating expressions with variables: exponents
        • 🎥 Evaluating exponential expressions 2
        • 🎥 Evaluating expressions with variables: temperature
        • 🎥 Evaluating expressions with two variables
        • 🎥 Example: Evaluating expressions with 2 variables
        • 🎥 Examples of evaluating variable expressions
      • Number patterns
        • 🎥 Factors and multiples: days of the week
        • 🎥 Math patterns: toothpicks
        • 🎥 Math patterns: table
    • Powers and exponents
      • Exponents
        • 🎥 Exponentiation warmup
        • 🎥 Intro to exponents
        • 🎥 Exponent example 1
        • 🎥 Exponent example 2
        • 🎥 The 0 & 1st power
        • 🎥 Powers of zero
        • 🎥 1 and -1 to different powers
      • Exponent properties- part 1/1
        • 🎥 Exponent properties 1
        • 🎥 Exponent properties 2
        • 🎥 Exponent properties 3
        • 🎥 Worked example: Exponent properties
      • Exponent properties- part 2/1
        • 🎥 Exponent properties with products
        • 🎥 Exponent properties with parentheses
        • 🎥 Exponent properties with quotients
      • Scientific notation
        • 🎥 Introduction to scientific notation
        • 🎥 Scientific notation examples
        • 🎥 Scientific notation examples
        • 🎥 Scientific notation example: 0.0000000003457
      • Orders of magnitude
        • 🎥 Multiplying multiples of powers of 10
        • 🎥 Exponents and powers of 10 patterns
        • 🎥 Orders of magnitude exercise example 1
        • 🎥 Orders of magnitude exercise example 2
    • Symmetry
      • Lines of symmetry for regular polygons
        • 🎥 Intro to reflective symmetry
      • Rotational symmetry
        • 🎥 Intro to rotational symmetry
    • Visualising solid shapes
      • Nets for building 3D shapes
        • 🎥 Surface area using a net: rectangular prism
      • Viewing different sections of a solid
        • 🎥 Slicing a rectangular pyramid
  • Class 8 (India)
    • Linear equations in one variable
      • Two-steps equations intro
        • 🎥 Intro to two-step equations
        • 🎥 Two-step equations intuition
        • 🎥 Worked example: two-step equations
        • 🎥 Describing steps when solving equations
      • Old school equations with Sal
        • 🎥 Linear equations 1
        • 🎥 Linear equations 2
        • 🎥 Linear equations 3
        • 🎥 Linear equations 4
        • 🎥 Averages
        • 🎥 Taking percentages
        • 🎥 Growing by a percentage
        • 🎥 More percent problems
        • 🎥 Solving an equation for a variable
      • Linear equations with variables on both sides
        • 🎥 Why we do the same thing to both sides: Variable on both sides
        • 🎥 Intro to equations with variables on both sides
        • 🎥 Equations with variables on both sides: 20-7x=6x-6
        • 🎥 Equation with variables on both sides: fractions
        • 🎥 Equation with the variable in the denominator
        • 🎥 Figuring out missing algebraic step
      • Linear equations with parentheses
        • 🎥 Equations with parentheses
      • Analyzing the number of solutions to linear equations
        • 🎥 Number of solutions to equations
        • 🎥 Worked example: number of solutions to equations
        • 🎥 Creating an equation with no solutions
        • 🎥 Creating an equation with infinitely many solutions
      • Linear equations word problems
        • 🎥 Sums of consecutive integers
        • 🎥 Sum of integers challenge
        • 🎥 Linear equation word problem: saline
        • 🎥 Linear equation word problem: sugary drinks
      • Two-step equation word problems
        • 🎥 Two-step equation word problem: computers
        • 🎥 Two-step equation word problem: garden
        • 🎥 Two-step equation word problem: oranges
    • Understanding Quadrilaterals
      • Angles with polygons
        • 🎥 Sum of interior angles of a polygon
        • 🎥 Sum of the exterior angles of a polygon
      • Quadrilateral types
        • 🎥 Intro to quadrilateral
        • 🎥 Quadrilateral properties
        • 🎥 Quadrilateral types
        • 🎥 Classifying quadrilaterals
        • 🎥 Kites as a geometric shape
      • Quadrilateral proofs and angles
        • 🎥 Proof: Opposite sides of a parallelogram
        • 🎥 Proof: Diagonals of a parallelogram
        • 🎥 Proof: Opposite angles of a parallelogram
        • 🎥 Proof: Rhombus diagonals are perpendicular bisectors
        • 🎥 Whether a special quadrilateral can exist
        • 🎥 Rhombus diagonals
    • Data Handling
      • Categorical data displays
        • 🎥 Reading pictographs
        • 🎥 Reading bar graphs
        • 🎥 Reading bar graphs: Harry Potter
        • 🎥 Creating a bar graph
        • 🎥 Reading bar charts: comparing two sets of data
        • 🎥 Reading bar charts: putting it together with central tendency
        • 🎥 Reading pie graphs (circle graphs)
      • Histograms
        • 🎥 Creating a histogram
        • 🎥 Interpreting a histogram
      • Pie Charts
        • 🎥 Reading pie graphs (circle graphs)
      • Basic theoretical probability
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
        • 🎥 Intuitive sense of probabilities
        • 🎥 The Monty Hall problem
      • Probability using sample spaces
        • 🎥 Probability with counting outcomes
        • 🎥 Example: All the ways you can flip a coin
        • 🎥 Die rolling probability
        • 🎥 Subsets of sample spaces
    • Square and square roots
      • Square roots
        • 🎥 Intro to square roots
        • 🎥 Understanding square roots
        • 🎥 Approximating square roots to hundredths
      • Simplifying square roots
        • 🎥 Simplifying square roots
    • Cubes and cube roots
      • Cube roots
        • 🎥 Intro to cube roots
        • 🎥 Cube root of a non-perfect cube
        • 🎥 Simplifying a cube root
        • 🎥 Worked example: Cube root of a negative number
    • Algebraic expressions and Identities
      • Adding & subtracting polynomials (Part1/2)
        • 🎥 Adding polynomials
        • 🎥 Subtracting polynomials
      • Adding and subtracting polynomials (Part2/2)
        • 🎥 Adding & subtracting multiple polynomials
        • 🎥 Subtracting polynomials: two variables
      • Multiplying monomials
        • 🎥 Multiplying monomials
        • 🎥 Multiplying monomials to find area: two variables
        • 🎥 Multiplying monomials to find area
        • 🎥 Multiplying monomials challenge
      • Multiplying monomials by polynomials
        • 🎥 Multiplying monomials by polynomials: area model
        • 🎥 Multiplying monomials by polynomials
        • 🎥 Multiplying monomials by polynomials challenge
      • Multiplying binomials
        • 🎥 Multiplying binomials: area model
        • 🎥 Multiplying binomials intro
        • 🎥 Multiplying binomials
      • Special products of binomials
        • 🎥 Special products of the form (x+a)(x-a)
        • 🎥 Squaring binomials of the form (x+a)²
        • 🎥 Special products of the form (ax+b)(ax-b)
        • 🎥 Squaring binomials of the form (ax+b)²
        • 🎥 Special products of binomials: two variables
        • 🎥 More examples of special products
        • 🎥 Squaring a binomial (old)
      • Multiplying binomials by polynomials
        • 🎥 Multiplying binomials by polynomials
        • 🎥 Multiplying binomials by polynomials: area model
        • 🎥 Multiplying binomials by polynomials challenge
        • 🎥 Multiplying binomials by polynomials (old)
        • 🎥 Multiplying binomials with radicals (old)
      • Polynomials word problems
        • 🎥 Polynomial multiplication word problem
        • 🎥 Polynomial word problem: rectangle and circle area
        • 🎥 Polynomial word problem: total value of bills
        • 🎥 Polynomial word problem: area of a window
    • Visualising solid shapes
      • Geometric solids (3D shapes)
        • 🎥 Counting faces and edges of 3D shapes
        • 🎥 Recognizing common 3D shapes
      • 2D vs. 3D objects
        • 🎥 Slicing a rectangular pyramid
        • 🎥 Ways to cross-section a cube
        • 🎥 Rotating 2D shapes in 3D
      • Scale drawing
        • 🎥 Interpreting a scale drawing
        • 🎥 Solving a scale drawing word problem
        • 🎥 Making a scale drawing
    • Mensuration
      • Area of trapezoids & composite figures
        • 🎥 Area of trapezoids
        • 🎥 Area of kites
        • 🎥 Finding area by rearranging parts
        • 🎥 Area of composite shapes
        • 🎥 Perimeter & area of composite shapes
        • 🎥 Challenge problems: perimeter & area
      • Surface area
        • 🎥 Intro to nets of polyhedra
        • 🎥 Surface area using a net: triangular prism
        • 🎥 Surface area of a box (cuboid)
        • 🎥 Surface area of a box using nets
        • 🎥 Surface area using a net: rectangular prism
      • Volume of rectangular prisms
        • 🎥 Volume intro
        • 🎥 Measuring volume with unit cubes
        • 🎥 Measuring volume as area times length
        • 🎥 Volume of a rectangular prism
        • 🎥 Volume of triangular prism & cube
      • Volume and surface area of cylinder
        • 🎥 Cylinder volume & surface area
    • Exponents and powers
      • Negative exponents
        • 🎥 Negative exponents
        • 🎥 Negative exponent intuition
        • 🎥 Multiplying & dividing powers (integer exponents)
        • 🎥 Powers of products & quotients (integer exponents)
      • Scientific notation
        • 🎥 Introduction to scientific notation
        • 🎥 Scientific notation examples
        • 🎥 Scientific notation examples
        • 🎥 Scientific notation example: 0.0000000003457
      • Orders of magnitude
        • 🎥 Multiplying multiples of powers of 10
        • 🎥 Exponents and powers of 10 patterns
        • 🎥 Orders of magnitude exercise example 1
        • 🎥 Orders of magnitude exercise example 2
      • Arithmetic with numbers in scientific notation
        • 🎥 Multiplying & dividing in scientific notation
        • 🎥 Multiplying three numbers in scientific notation
        • 🎥 Subtracting in scientific notation
        • 🎥 Simplifying in scientific notation challenge
      • Scientific notation word problems
        • 🎥 Scientific notation word problem: red blood cells
        • 🎥 Scientific notation word problem: U.S. national debt
        • 🎥 Scientific notation word problem: speed of light
    • Direct and inverse proportion
      • Direct and inverse proportion
        • 🎥 Intro to direct & inverse variation
        • 🎥 Recognizing direct & inverse variation
        • 🎥 Recognizing direct & inverse variation: table
        • 🎥 Inverse variation word problem: string vibration
    • Factorization
      • Introduction to factorization
        • 🎥 Intro to factors & divisibility
      • Factoring monomials
        • 🎥 Monomial factorization
        • 🎥 Worked example: finding the missing monomial factor
        • 🎥 Worked example: finding missing monomial side in area model
        • 🎥 Greatest common factor of monomials
      • Factoring polynomials by taking common factors
        • 🎥 Factoring with the distributive property
        • 🎥 Factoring binomials: common factor
        • 🎥 Factoring polynomials: common factor
        • 🎥 Factoring polynomials: common factor area model
        • 🎥 Factoring polynomials: common binomial factor
        • 🎥 Factoring polynomials: common factor (old)
        • 🎥 Factoring polynomials: common factor (old)
      • Evaluating expressions with unknown variables
        • 🎥 Worked example: evaluating expressions using structure
        • 🎥 Worked example: evaluating expressions using structure (more examples)
      • Factoring quadratics intro
        • 🎥 Factoring quadratics as (x+a)(x+b)
        • 🎥 Factoring quadratics as (x+a)(x+b) (example 2)
        • 🎥 More examples of factoring quadratics as (x+a)(x+b)
      • Factoring quadratics by grouping
        • 🎥 Intro to grouping
        • 🎥 Factoring quadratics by grouping
      • Factoring polynomials with quadratic forms
        • 🎥 Factoring quadratics: common factor + grouping
        • 🎥 Factoring quadratics: negative common factor + grouping
        • 🎥 Factoring two-variable quadratics
        • 🎥 Factoring two-variable quadratics: rearranging
        • 🎥 Factoring two-variable quadratics: grouping
        • 🎥 Factoring quadratics with common factor (old)
      • Factoring quadratics: Difference of squares
        • 🎥 Difference of squares intro
        • 🎥 Factoring difference of squares: leading coefficient ≠ 1
        • 🎥 Factoring difference of squares: analyzing factorization
        • 🎥 Factoring difference of squares: missing values
        • 🎥 Factoring difference of squares: shared factors
      • Factoring quadratics: Perfect squares
        • 🎥 Perfect square factorization intro
        • 🎥 Factoring perfect squares
        • 🎥 Identifying perfect square form
        • 🎥 Factoring perfect squares: common factor
        • 🎥 Factoring perfect squares: negative common factor
        • 🎥 Factoring perfect squares: missing values
        • 🎥 Factoring perfect squares: shared factors
      • Strategy in factoring quadratics
        • 🎥 Strategy in factoring quadratics (part 1 of 2)
        • 🎥 Strategy in factoring quadratics (part 2 of 2)
      • Factoring polynomials with special product forms
        • 🎥 Factoring perfect squares: 4th degree polynomial
        • 🎥 Factoring difference of squares: two variables
        • 🎥 Factoring difference of squares: two variables (example 2)
    • Introduction to graphs
      • Intro to the coordinate plane
        • 🎥 Introduction to the coordinate plane
        • 🎥 Coordinate plane: graphing points
      • Coordinate plane word problems
        • 🎥 Plotting corners of a rectangle
        • 🎥 Coordinate plane graphing word problem
        • 🎥 Interpreting plotted points
    • Playing with numbers
      • Divisibility tests
        • 🎥 Divisibility tests for 2, 3, 4, 5, 6, 9, 10
        • 🎥 Recognizing divisibility
        • 🎥 The why of the 3 divisibility rule
        • 🎥 The why of the 9 divisibility rule
  • Class 9 (India)
    • Number systems
      • Irrational numbers
        • 🎥 Intro to rational & irrational numbers
        • 🎥 Classifying numbers: rational & irrational
        • 🎥 Classifying numbers
        • 🎥 Worked example: classifying numbers
      • Rational numbers and repeating decimals
        • 🎥 Converting a fraction to a repeating decimal
        • 🎥 Converting repeating decimals to fractions (part 1 of 2)
        • 🎥 Converting repeating decimals to fractions (part 2 of 2)
      • Sums and products of rational and irrational numbers
        • 🎥 Proof: sum & product of two rationals is rational
        • 🎥 Proof: product of rational & irrational is irrational
        • 🎥 Proof: sum of rational & irrational is irrational
        • 🎥 Sums and products of irrational numbers
        • 🎥 Worked example: rational vs. irrational expressions
        • 🎥 Worked example: rational vs. irrational expressions (unknowns)
      • Exponent properties review
        • 🎥 Multiplying & dividing powers (integer exponents)
        • 🎥 Powers of products & quotients (integer exponents)
      • Radicals
        • 🎥 Intro to square roots
        • 🎥 Understanding square roots
        • 🎥 Intro to cube roots
        • 🎥 Square root of decimal
        • 🎥 5th roots
      • Rational exponents intro
        • 🎥 Intro to rational exponents
        • 🎥 Rewriting roots as rational exponents
        • 🎥 Exponential equation with rational answer
      • Properties of exponents (rational exponents)
        • 🎥 Simplifying quotient of powers (rational exponents)
        • 🎥 Simplifying mixed radical and exponential expressions
      • Advanced: exponent & radical evaluation
        • 🎥 Evaluating fractional exponents
        • 🎥 Evaluating fractional exponents: negative unit-fraction
        • 🎥 Evaluating fractional exponents: fractional base
        • 🎥 Evaluating quotient of fractional exponents
        • 🎥 Evaluating mixed radicals and exponents
      • Simplifying square roots
        • 🎥 Simplifying square roots
        • 🎥 Simplifying square roots (variables)
        • 🎥 Simplifying square-root expressions
      • Simplifying radicals (higher-index roots)
        • 🎥 Simplifying higher-index roots
        • 🎥 Simplifying cube root expressions
        • 🎥 Simplifying cube root expressions (two variables)
        • 🎥 Simplifying higher-index root expressions
      • Radicals (miscellaneous videos)
        • 🎥 Simplifying square-root expressions: no variables
        • 🎥 Simplifying square roots of fractions
        • 🎥 Simplifying rational exponent expressions: mixed exponents and radicals
        • 🎥 Simplifying square-root expressions: no variables (advanced)
        • 🎥 Intro to rationalizing the denominator
        • 🎥 Worked example: rationalizing the denominator
        • 🎥 Simplifying radical expressions (addition)
        • 🎥 Simplifying radical expressions (subtraction)
        • 🎥 Simplifying radical expressions: two variables
        • 🎥 Simplifying radical expressions: three variables
        • 🎥 Simplifying hairy expression with fractional exponents
    • Polynomials
      • Introduction to polynomials
        • 🎥 Polynomials intro
        • 🎥 The parts of polynomial expressions
        • 🎥 Evaluating polynomials
        • 🎥 Simplifying polynomials
      • Zeroes of a polynomial
        • 🎥 Evaluating polynomials
      • Long division of polynomials
        • 🎥 Intro to long division of polynomials
        • 🎥 Dividing polynomials: long division
      • Polynomial Remainder Theorem
        • 🎥 Intro to the Polynomial Remainder Theorem
        • 🎥 Using the Polynomial Remainder Theorem: finding remainders
        • 🎥 Using the Polynomial Remainder Theorem: checking factors
        • 🎥 Using the Polynomial Remainder Theorem: finding coefficients
        • 🎥 Proof of the Polynomial Remainder Theorem
      • Advanced polynomial factorization methods
        • 🎥 Factoring higher-degree polynomials
        • 🎥 Factoring sum of cubes
        • 🎥 Factoring difference of cubes
    • Coordinate geometry
      • Intro to the coordinate plane
        • 🎥 Introduction to the coordinate plane
        • 🎥 Coordinate plane: graphing points
      • Coordinate plane: quadrant 1
        • 🎥 Coordinate plane: graphing points
        • 🎥 Coordinate plane graphing word problem
      • Quadrants on the coordinate plane
        • 🎥 Quadrants of the coordinate plane
        • 🎥 Points and quadrants example
      • Coordinate plane: 4 quadrants
        • 🎥 Points on the coordinate plane examples
        • 🎥 Plotting a point (ordered pair)
        • 🎥 Finding the point not graphed
        • 🎥 Coordinate plane word problem examples
      • Coordinate plane word problems
        • 🎥 Plotting corners of a rectangle
        • 🎥 Coordinate plane graphing word problem
        • 🎥 Interpreting plotted points
    • Linear equations in two variables
      • Introduction to linear equations in 2 variables
        • 🎥 Two-variable linear equations intro
        • 🎥 Solutions to 2-variable equations
        • 🎥 Worked example: solutions to 2-variable equations
        • 🎥 Completing solutions to 2-variable equations
        • 🎥 Testing solutions to linear equations
      • Graph of a Linear Equation in Two Variables
        • 🎥 Graphing a linear equation: 5x+2y=20
        • 🎥 Graphing a linear equation: y=2x+7
      • Linear models word problems
        • 🎥 Linear models word problem: book
        • 🎥 Linear models word problem: marbles
    • Introduction to Euclid's geometry
      • Introduction to Euclidean geometry
        • 🎥 Euclid as the father of geometry
    • Lines and angles
      • Geometric definitions
        • 🎥 Geometric definitions example
      • Angle types
        • 🎥 Acute, right, & obtuse angles
        • 🎥 Recognizing angles
        • 🎥 Drawing acute, right and obtuse angles
        • 🎥 Identifying an angle
      • Vertical, complementary, and supplementary angles
        • 🎥 Complementary & supplementary angles
        • 🎥 Angle relationships example
        • 🎥 Vertical angles are congruent proof
      • Angles between intersecting lines
        • 🎥 Angles, parallel lines, & transversals
        • 🎥 Parallel & perpendicular lines
        • 🎥 Missing angles with a transversal
        • 🎥 Parallel lines & corresponding angles proof
        • 🎥 Missing angles (CA geometry)
        • 🎥 Proving angles are congruent
        • 🎥 Proofs with transformations
      • Triangle angles
        • 🎥 Triangle exterior angle example
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Worked example: Triangle angles (intersecting lines)
        • 🎥 Worked example: Triangle angles (diagram)
        • 🎥 Triangle angle challenge problem
        • 🎥 Triangle angle challenge problem 2
    • Triangles
      • Congruence of triangles and the criteria for congruence
        • 🎥 Congruent triangles & the SSS postulate/criterion
        • 🎥 Triangle congruence postulates/criteria
        • 🎥 Why SSA isn't a congruence postulate/criterion
        • 🎥 Determining congruent triangles
      • Proofs of general theorems that use triangle congruence
        • 🎥 Geometry proof problem: midpoint
        • 🎥 Geometry proof problem: congruent segments
        • 🎥 Geometry proof problem: squared circle
      • Theorems concerning triangle properties
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Proofs concerning isosceles triangles
        • 🎥 Proofs concerning equilateral triangles
      • Inequalities in a Triangle
        • 🎥 Triangle inequality theorem
    • Quadrilaterals
      • Quadrilaterals
        • 🎥 Intro to quadrilateral
        • 🎥 Quadrilateral properties
        • 🎥 Quadrilateral types
        • 🎥 Classifying quadrilaterals
        • 🎥 Kites as a geometric shape
      • Quadrilateral proof and angles
        • 🎥 Sum of interior angles of a polygon
        • 🎥 Proof: Opposite sides of a parallelogram
        • 🎥 Proof: Diagonals of a parallelogram
        • 🎥 Proof: Opposite angles of a parallelogram
        • 🎥 Proof: Rhombus diagonals are perpendicular bisectors
        • 🎥 Whether a special quadrilateral can exist
        • 🎥 Rhombus diagonals
    • Areas of parallelograms and triangles
      • Area of Parallelogram
        • 🎥 Area of a parallelogram
        • 🎥 Area of parallelogram proof
      • Area of a triangle
        • 🎥 Area of a triangle
        • 🎥 Area of triangle proof
    • Circles
      • Circle basics
        • 🎥 Circles glossary
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Proof: all circles are similar
      • Chord and Circles
        • 🎥 Proof: radius is perpendicular to a chord it bisects
        • 🎥 Proof: perpendicular radius bisects chord
      • Points and Circles
        • 🎥 Distance between a point & line
      • Inscribed angles
        • 🎥 Inscribed angles
        • 🎥 Inscribed angle theorem proof
      • Inscribed shapes problem solving
        • 🎥 Proof: Right triangles inscribed in circles
        • 🎥 Inscribed shapes: find diameter
        • 🎥 Inscribed shapes: angle subtended by diameter
        • 🎥 Inscribed shapes: find inscribed angle
        • 🎥 Inscribed quadrilaterals proof
        • 🎥 Solving inscribed quadrilaterals
        • 🎥 Area of inscribed equilateral triangle
    • Constructions
      • Basic constructions
        • 🎥 Geometric constructions: angle bisector
        • 🎥 Geometric constructions: perpendicular bisector
    • Heron's Formula
      • Finding the area of a triangle using Heron's formula
        • 🎥 Heron's formula
    • Surface areas and volumes
      • Surface area
        • 🎥 Intro to nets of polyhedra
        • 🎥 Surface area using a net: triangular prism
        • 🎥 Surface area of a box (cuboid)
        • 🎥 Surface area of a box using nets
        • 🎥 Surface area using a net: rectangular prism
      • Volume of cubes and cuboids
        • 🎥 Volume intro
        • 🎥 Measuring volume with unit cubes
        • 🎥 Measuring volume as area times length
        • 🎥 Volume of a rectangular prism
        • 🎥 Volume of triangular prism & cube
      • Volume of cones, cylinders, and spheres
        • 🎥 Cylinder volume & surface area
        • 🎥 Volume of a cone
        • 🎥 Volume of a sphere
    • Statistics
      • Presentation of Data
        • 🎥 Representing data
        • 🎥 Frequency tables & dot plots
      • Graphical Representation of Data using bar graphs
        • 🎥 Creating a bar graph
        • 🎥 Reading bar graphs
        • 🎥 Reading bar graphs: Harry Potter
        • 🎥 Reading bar graphs: dog bones
        • 🎥 Reading bar charts: comparing two sets of data
      • Graphical representation of data using histograms
        • 🎥 Creating a histogram
        • 🎥 Interpreting a histogram
      • Measures of Central Tendency
        • 🎥 Statistics intro: Mean, median, & mode
        • 🎥 Mean, median, & mode example
        • 🎥 Means and medians of different distributions
        • 🎥 Missing value given the mean
        • 🎥 Impact on median & mean: removing an outlier
        • 🎥 Impact on median & mean: increasing an outlier
        • 🎥 Comparing means of distributions
        • 🎥 Reading bar charts: putting it together with central tendency
    • Probability
      • Probability basics
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
        • 🎥 Experimental probability
        • 🎥 Theoretical and experimental probabilites
        • 🎥 Making predictions with probability
        • 🎥 Intuitive sense of probabilities
        • 🎥 Probability models example: frozen yogurt
  • Class 10 (India)
    • Real numbers
      • The Fundamental Theorem of Arithmetic
        • 🎥 The fundamental theorem of arithmetic
        • 🎥 Prime factorization exercise
      • GCF and LCM
        • 🎥 Greatest common factor examples
        • 🎥 Least common multiple: repeating factors
        • 🎥 Least common multiple of three numbers
        • 🎥 GCF & LCM word problems
      • Proofs related to irrational numbers
        • 🎥 Proof: √2 is irrational
        • 🎥 Proof: square roots of prime numbers are irrational
        • 🎥 Proof: there's an irrational number between any two rational numbers
      • Converting fractions to repeating decimals
        • 🎥 Converting a fraction to a repeating decimal
        • 🎥 Converting repeating decimals to fractions (part 1 of 2)
        • 🎥 Converting repeating decimals to fractions (part 2 of 2)
    • Polynomials
      • Finding zeros of polynomials
        • 🎥 Finding zeros of polynomials (1 of 2)
        • 🎥 Finding zeros of polynomials (2 of 2)
        • 🎥 Finding zeros of polynomials (example 2)
        • 🎥 Number of possible real roots of a polynomial
      • Long division of polynomials
        • 🎥 Intro to long division of polynomials
        • 🎥 Dividing polynomials: long division
        • 🎥 Intro to the Polynomial Remainder Theorem
        • 🎥 Finding zeros of polynomials (1 of 2)
        • 🎥 Finding zeros of polynomials (2 of 2)
    • Pair of linear equations in two variables
      • Geometrical interpretation of pair of linear equations in two variables:
        • 🎥 Number of solutions to a system of equations
        • 🎥 How many solutions does a system of linear equations have if there are at least two?
      • Algebraic methods to solve pair of linear equations in two variables
        • 🎥 Number of solutions to a system of equations algebraically
        • 🎥 Systems of equations with substitution: 2y=x+7 & x=y-4
        • 🎥 Systems of equations with substitution: y=4x-17.5 & y+2x=6.5
        • 🎥 Systems of equations with substitution: -3x-4y=-2 & y=2x-5
        • 🎥 Systems of equations with substitution: 9x+3y=15 & y-x=5
        • 🎥 Systems of equations with substitution: y=-5x+8 & 10x+2y=-2
        • 🎥 Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120
      • System of equations : word problems
        • 🎥 System of equations word problem: walk & ride
        • 🎥 System of equations word problem: no solution
        • 🎥 System of equations word problem: infinite solutions
        • 🎥 Systems of equations with elimination: TV & DVD
        • 🎥 Systems of equations with elimination: apples and oranges
        • 🎥 Systems of equations with substitution: coins
        • 🎥 Systems of equations with elimination: coffee and croissants
    • Quadratic equations
      • Solving quadratics by using factorisation
        • 🎥 Solving quadratics by factoring
        • 🎥 Solving quadratics by factoring: leading coefficient ≠ 1
        • 🎥 Solving quadratics using structure
        • 🎥 Quadratic equations word problem: triangle dimensions
        • 🎥 Quadratic equations word problem: box dimensions
      • Solution of a Quadratic Equation by Completing the Square
        • 🎥 Completing the square
        • 🎥 Worked example: Completing the square (intro)
        • 🎥 Worked example: Rewriting expressions by completing the square
        • 🎥 Worked example: Solving equations by completing the square
        • 🎥 Worked example: completing the square (leading coefficient ≠ 1)
        • 🎥 Solving quadratics by completing the square: no solution
      • Solving quadratics using the quadratic formula
        • 🎥 The quadratic formula
        • 🎥 Using the quadratic formula
        • 🎥 Worked example: quadratic formula
        • 🎥 Worked example: quadratic formula (example 2)
        • 🎥 Worked example: quadratic formula (negative coefficients)
        • 🎥 Proof of the quadratic formula
        • 🎥 Using the quadratic formula: number of solutions
    • Arithmetic progressions
      • Arithmetic Progression
        • 🎥 Sequences intro
        • 🎥 Intro to arithmetic sequences
        • 🎥 Extending arithmetic sequences
      • nth term of an AP
        • 🎥 Using arithmetic sequences formulas
      • Sum of First n Terms of an AP
        • 🎥 Arithmetic series intro
        • 🎥 Arithmetic series formula
        • 🎥 Proof of finite arithmetic series formula
    • Triangles
      • Introduction to triangle similarity
        • 🎥 Intro to triangle similarity
        • 🎥 Triangle similarity postulates/criteria
        • 🎥 Determining similar triangles
        • 🎥 Proving slope is constant using similarity
      • Solving similar triangles
        • 🎥 Solving similar triangles
        • 🎥 Solving similar triangles: same side plays different roles
        • 🎥 Using similar & congruent triangles
      • Pythagoras Theorem
        • 🎥 Pythagorean theorem proof using similarity
        • 🎥 Pythagorean theorem word problem: fishing boat
        • 🎥 Another Pythagorean theorem proof
    • Coordinate geometry
      • Distance Formula
        • 🎥 Distance formula
        • 🎥 Midpoint formula
      • Section Formula
        • 🎥 Dividing line segments: graphical
        • 🎥 Dividing line segments
      • Area of Triangle
        • 🎥 Area of a triangle on a grid
    • Introduction to trigonometry
      • Introduction to trigonometry
        • 🎥 Intro to the trigonometric ratios
        • 🎥 Trigonometric ratios in right triangles
      • Trigonometric Ratios of Complementary Angles
        • 🎥 Sine & cosine of complementary angles
        • 🎥 Using complementary angles
        • 🎥 Trig word problem: complementary angles
      • Trigonometric Identities
        • 🎥 Intro to the Pythagorean trig identity
        • 🎥 Using trigonometric identities
    • Some applications of trigonometry
      • Word problems: Applications of trigonometry
        • 🎥 Right triangle word problem
    • Circles
      • Tangent to a Circle
        • 🎥 Proof: Radius is perpendicular to tangent line
        • 🎥 Proof: Segments tangent to circle from outside point are congruent
        • 🎥 Tangents of circles problem (example 1)
        • 🎥 Tangents of circles problem (example 2)
        • 🎥 Tangents of circles problem (example 3)
    • Constructions
      • Construction of Tangents to a Circle
        • 🎥 Geometric constructions: circle tangent
        • 🎥 Geometric constructions: circle tangent (example 2)
    • Area Related to Circles
      • Areas of parts of a circle
        • 🎥 Area of a sector
      • Areas of Combinations of Plane Figures
        • 🎥 Area of a shaded region
    • Surface Areas and Volumes
      • Conversion of Solid from One Shape to Another
        • 🎥 Volume word problem: gold ring
    • Probability
      • Probability basics
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
        • 🎥 Experimental probability
        • 🎥 Theoretical and experimental probabilites
        • 🎥 Making predictions with probability
        • 🎥 Intuitive sense of probabilities
        • 🎥 Probability models example: frozen yogurt
  • Class 11 (India)
    • Sets
      • Intersection and union of sets
        • 🎥 Intersection and union of sets
      • Types of sets
        • 🎥 Subset, strict subset, and superset
      • Operations on sets
        • 🎥 Relative complement or difference between sets
        • 🎥 Universal set and absolute complement
        • 🎥 Bringing the set operations together
    • Relations and functions
      • Evaluating functions
        • 🎥 What is a function?
        • 🎥 Worked example: Evaluating functions from equation
        • 🎥 Worked example: evaluating functions from graph
        • 🎥 Worked example: evaluating expressions with function notation
      • Inputs and outputs of a function
        • 🎥 Worked example: matching an input to a function's output (equation)
        • 🎥 Worked example: matching an input to a function's output (graph)
        • 🎥 Worked example: two inputs with the same output (graph)
      • Interpreting function notation
        • 🎥 Function notation word problem: bank
        • 🎥 Function notation word problem: beach
      • Functions and equations
        • 🎥 Equations vs. functions
        • 🎥 Obtaining a function from an equation
      • Introduction to the domain and range of a function
        • 🎥 Intervals and interval notation
        • 🎥 What is the domain of a function?
        • 🎥 What is the range of a function?
        • 🎥 Worked example: domain and range from graph
      • Determining the domain of a function
        • 🎥 Domain of a radical function
        • 🎥 Worked example: domain of algebraic functions
        • 🎥 Worked example: determining domain word problem (real numbers)
        • 🎥 Worked example: determining domain word problem (positive integers)
        • 🎥 Worked example: determining domain word problem (all integers)
      • Recognizing functions
        • 🎥 Recognizing functions from graph
        • 🎥 Does a vertical line represent a function?
        • 🎥 Recognizing functions from table
        • 🎥 Recognizing functions from verbal description
        • 🎥 Recognizing functions from verbal description word problem
      • Maximum and minimum points
        • 🎥 Introduction to minimum and maximum points
        • 🎥 Worked example: relative maxima and minima
      • Intervals where a function is positive, negative, increasing, or decreasing
        • 🎥 Increasing, decreasing, positive or negative intervals
        • 🎥 Worked example: positive & negative intervals
      • Interpreting features of graphs
        • 🎥 Graph interpretation word problem: temperature
        • 🎥 Graph interpretation word problem: basketball
      • Combining functions
        • 🎥 Adding functions
        • 🎥 Subtracting functions
        • 🎥 Multiplying functions
        • 🎥 Dividing functions
      • Piecewise functions
        • 🎥 Introduction to piecewise functions
        • 🎥 Worked example: evaluating piecewise functions
        • 🎥 Worked example: graphing piecewise functions
        • 🎥 Worked example: domain & range of step function
        • 🎥 Worked example: domain & range of piecewise linear functions
      • Determining the domain of advanced functions
        • 🎥 Domain of advanced functions
      • Determining the range of advanced functions
        • 🎥 Domain and range of quadratic functions
    • Exponential and Logarithmic functions
      • Introduction to logarithms
        • 🎥 Intro to logarithms
        • 🎥 Evaluating logarithms (advanced)
        • 🎥 Relationship between exponentials & logarithms
        • 🎥 Relationship between exponentials & logarithms: graphs
        • 🎥 Relationship between exponentials & logarithms: tables
      • The constant e and the natural logarithm
        • 🎥 𝑒 and compound interest
        • 🎥 𝑒 as a limit
        • 🎥 Evaluating natural logarithm with calculator
      • Properties of logarithms
        • 🎥 Intro to logarithm properties (1 of 2)
        • 🎥 Intro to logarithm properties (2 of 2)
        • 🎥 Using the logarithmic product rule
        • 🎥 Using the logarithmic power rule
        • 🎥 Using the properties of logarithms: multiple steps
        • 🎥 Proof of the logarithm product rule
        • 🎥 Proof of the logarithm quotient and power rules
      • Change of base formula for logarithms
        • 🎥 Evaluating logarithms: change of base rule
        • 🎥 Using the logarithm change of base rule
        • 🎥 Proof of the logarithm change of base rule
      • Exponential equations: logarithms
        • 🎥 Solving exponential equations using logarithms: base-10
        • 🎥 Solving exponential equations using logarithms: base-2
      • Solving exponential models
        • 🎥 Exponential model word problem: medication dissolve
        • 🎥 Exponential model word problem: bacteria growth
      • Logarithmic scale (optional)
        • 🎥 Logarithmic scale (with Vi Hart)
        • 🎥 Logarithmic scale
        • 🎥 Richter scale
        • 🎥 Benford's law (with Vi Hart, 1 of 2)
        • 🎥 Benford's law (with Vi Hart, 2 of 2)
    • Advanced: Playing with graphs
      • Shifting functions
        • 🎥 Shifting functions
        • 🎥 Graphing shifted functions
      • Stretching functions
        • 🎥 Shifting & reflecting functions
        • 🎥 Compressing functions
        • 🎥 Reflecting & compressing functions
      • Symmetry of functions
        • 🎥 Intro to function symmetry
        • 🎥 Graphical symmetry of functions
        • 🎥 Even/odd functions & numbers
      • Symmetry of polynomial functions
        • 🎥 Even & odd polynomials
      • Graphs of absolute value functions
        • 🎥 Shifting absolute value graphs
        • 🎥 Scaling & reflecting absolute value functions: equation
        • 🎥 Scaling & reflecting absolute value functions: graph
        • 🎥 Graphing absolute value functions
      • Graphs of radical functions
        • 🎥 Transforming the square-root function
        • 🎥 Graphs of square-root functions
        • 🎥 Square-root functions & their graphs
      • Graphs of exponential functions
        • 🎥 Transforming exponential graphs
        • 🎥 Transforming exponential graphs (example 2)
        • 🎥 Graphing exponential functions
        • 🎥 Exponential function graph
        • 🎥 Graphs of exponential functions (old example)
      • Graphs of logarithmic functions
        • 🎥 Graphs of logarithms & exponentials
        • 🎥 Graphing basic logarithmic functions
        • 🎥 Graphs of logarithmic functions
      • Graphs of polynomials using their zeroes
        • 🎥 Zeros of polynomials & their graphs
      • End behavior of polynomial functions
        • 🎥 Intro to end behavior of polynomials
        • 🎥 End behavior of functions & their graphs
      • Graphs of polynomials
    • Trigonometric functions
      • Intro to radians
        • 🎥 Intro to radians
        • 🎥 Radians & degrees
        • 🎥 Degrees to radians
        • 🎥 Radians to degrees
        • 🎥 Radian angles & quadrants
      • Trigonometric values of special angles
        • 🎥 Trig values of special angles
      • Trigonometric functions
        • 🎥 Unit circle
        • 🎥 The trig functions & right triangle trig ratios
      • The graphs of sine, cosine, and tangent
        • 🎥 Graph of y=sin(x)
        • 🎥 Graph of y=tan(x)
        • 🎥 Intersection points of y=sin(x) and y=cos(x)
      • Trigonometric identities
        • 🎥 Sine & cosine identities: symmetry
        • 🎥 Tangent identities: symmetry
        • 🎥 Sine & cosine identities: periodicity
        • 🎥 Tangent identities: periodicity
        • 🎥 Proof of the Pythagorean trig identity
        • 🎥 Using the Pythagorean trig identity
        • 🎥 Trig challenge problem: cosine of angle-sum
      • Trigonometric equations
        • 🎥 Solving sinusoidal equations of the form sin(x)=d
        • 🎥 Solving cos(θ)=1 and cos(θ)=-1
    • Principle of mathematical induction
      • Deductive and inductive reasoning
        • 🎥 Inductive & deductive reasoning
        • 🎥 Deductive reasoning
        • 🎥 Using deductive reasoning
        • 🎥 Inductive reasoning
        • 🎥 Inductive reasoning (example 2)
        • 🎥 Using inductive reasoning
        • 🎥 Using inductive reasoning (example 2)
      • Principle of mathematical induction
        • 🎥 Proof of finite arithmetic series formula by induction
    • Complex numbers
      • What are the imaginary numbers?
        • 🎥 Intro to the imaginary numbers
        • 🎥 Powers of the imaginary unit
        • 🎥 Simplifying roots of negative numbers
        • 🎥 i as the principal root of -1
      • What are the complex numbers?
        • 🎥 Intro to complex numbers
        • 🎥 How to classify complex numbers (example)
      • The complex plane
        • 🎥 Plotting numbers on the complex plane
      • Adding & subtracting complex numbers
        • 🎥 Adding complex numbers
        • 🎥 Subtracting complex numbers
      • Multiplying complex numbers
        • 🎥 Multiplying complex numbers
      • Complex conjugates & dividing complex numbers
        • 🎥 Intro to complex number conjugates
        • 🎥 Complex number conjugates
        • 🎥 Dividing complex numbers
      • Absolute value & angle of complex numbers
        • 🎥 Absolute value of complex numbers
        • 🎥 Absolute value & angle of complex numbers
      • Distance & midpoint of complex numbers
        • 🎥 Distance & midpoint of complex numbers
      • Polar form of complex numbers
        • 🎥 Polar & rectangular forms of complex numbers
      • Multiplying & dividing complex numbers in polar form
        • 🎥 Dividing complex numbers: polar & exponential form
        • 🎥 Powers of complex numbers
        • 🎥 Complex number equations: x³=1
    • Linear inequalities
      • Introduction to inequalities with variables
        • 🎥 Testing solutions to inequalities
        • 🎥 Plotting inequalities
        • 🎥 Plotting an inequality example
        • 🎥 Inequalities word problems
      • One-step inequalities
        • 🎥 One-step inequalities examples
        • 🎥 One-step inequalities: -5c ≤ 15
        • 🎥 One-step inequality involving addition
        • 🎥 One-step inequality word problem
        • 🎥 Inequalities using addition and subtraction
        • 🎥 Solving and graphing linear inequalities
      • Two-step inequalities
        • 🎥 Two-step inequalities
        • 🎥 Two-step inequality word problem: apples
        • 🎥 Two-step inequality word problem: R&B
      • Multi-step inequalities
        • 🎥 Inequalities with variables on both sides
        • 🎥 Inequalities with variables on both sides (with parentheses)
        • 🎥 Multi-step inequalities
      • Compound inequalities
        • 🎥 Compound inequalities: OR
        • 🎥 Compound inequalities: AND
        • 🎥 A compound inequality with no solution
        • 🎥 Double inequalities
        • 🎥 Compound inequalities examples
      • Checking solutions of two-variable inequalities
        • 🎥 Testing solutions to inequalities
        • 🎥 Testing solutions to systems of inequalities
      • Constraining solutions of two-variable inequalities
        • 🎥 Constraining solutions of two-variable inequalities
        • 🎥 Constraining solutions of systems of inequalities
      • Graphing two-variable inequalities
        • 🎥 Intro to graphing two-variable inequalities
        • 🎥 Graphing two-variable inequalities
        • 🎥 Two-variable inequalities from their graphs
        • 🎥 Intro to graphing systems of inequalities
        • 🎥 Graphing systems of inequalities
        • 🎥 Graphing two-variable inequalities (old)
    • Permutations and combinations
      • Fundamental Principle of Counting
        • 🎥 Count outcomes using tree diagram
        • 🎥 Counting outcomes: flower pots
      • Permutations
        • 🎥 Factorial and counting seat arrangements
        • 🎥 Permutation formula
        • 🎥 Possible three letter words
        • 🎥 Zero factorial or 0!
        • 🎥 Ways to arrange colors
        • 🎥 Ways to pick officers
      • Combinations
        • 🎥 Intro to combinations
        • 🎥 Combination formula
        • 🎥 Handshaking combinations
        • 🎥 Combination example: 9 card hands
    • Binomial theorem
      • Binomial Theorem for Positive Integral Indices
        • 🎥 Intro to the Binomial Theorem
        • 🎥 Pascal's triangle and binomial expansion
        • 🎥 Expanding binomials
        • 🎥 Expanding binomials w/o Pascal's triangle
        • 🎥 Binomial expansion & combinatorics
        • 🎥 Pascal's triangle & combinatorics
        • 🎥 Binomial expansion & combinatorics (old)
    • Sequence and series
      • Sequences
        • 🎥 Sequences intro
        • 🎥 Intro to arithmetic sequences
        • 🎥 Sequences word problem: growth pattern
        • 🎥 Explicit formulas for arithmetic sequences
      • Basic sigma notation
        • 🎥 Summation notation
      • Finite arithmetic series
        • 🎥 Arithmetic series intro
        • 🎥 Worked example: arithmetic series (sigma notation)
        • 🎥 Worked example: arithmetic series (sum expression)
        • 🎥 Worked example: arithmetic series (recursive formula)
        • 🎥 Proof of finite arithmetic series formula
      • Finite geometric series
        • 🎥 Geometric series intro
        • 🎥 Geometric series with sigma notation
        • 🎥 Worked example: finite geometric series (sigma notation)
        • 🎥 Worked examples: finite geometric series
        • 🎥 Finite geometric series formula justification
      • Finite geometric series applications
        • 🎥 Finite geometric series word problem: social media
        • 🎥 Finite geometric series word problem: mortgage
      • Sum to n terms of special series
        • 🎥 Sum of n squares (part 1)
        • 🎥 Sum of n squares (part 2)
        • 🎥 Sum of n squares (part 3)
    • Straight lines
      • x-intercepts and y-intercepts
        • 🎥 Intro to intercepts
        • 🎥 x-intercept of a line
        • 🎥 Intercepts from an equation
        • 🎥 Intercepts from a table
        • 🎥 Graphing using intercepts (old)
      • Slope
        • 🎥 Intro to slope
        • 🎥 Positive & negative slope
        • 🎥 Worked example: slope from graph
        • 🎥 Worked example: slope from two points
        • 🎥 Slope (more examples)
      • Horizontal & vertical lines
        • 🎥 Slope of a horizontal line
        • 🎥 Horizontal & vertical lines
      • Intro to slope-intercept form
        • 🎥 Intro to slope-intercept form
        • 🎥 Worked examples: slope-intercept intro
      • Graphing slope-intercept equations
        • 🎥 Graph from slope-intercept equation
      • Parallel and perpendicular lines on the coordinate plane
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines from graph
      • Equations of parallel and perpendicular lines
        • 🎥 Parallel lines from equation
        • 🎥 Parallel lines from equation (example 2)
        • 🎥 Parallel lines from equation (example 3)
        • 🎥 Perpendicular lines from equation
        • 🎥 Writing equations of perpendicular lines
        • 🎥 Writing equations of perpendicular lines (example 2)
        • 🎥 Proof: parallel lines have the same slope
        • 🎥 Proof: perpendicular lines have negative reciprocal slope
      • Writing slope-intercept equations
        • 🎥 Slope-intercept equation from graph
        • 🎥 Slope-intercept equation from slope & point
        • 🎥 Slope-intercept equation from two points
        • 🎥 Slope-intercept form problems
        • 🎥 Slope-intercept equation from slope & point (old)
        • 🎥 Slope-intercept equation from slope & point: fractions (old)
        • 🎥 Finding y intercept given slope & point (old)
      • Point-slope form
        • 🎥 Intro to point-slope form
        • 🎥 Point-slope & slope-intercept equations
      • Standard form
        • 🎥 Intro to linear equation standard form
        • 🎥 Graphing a linear equation: 5x+2y=20
        • 🎥 Converting from slope-intercept to standard form
      • Summary: Forms of two-variable linear equations
        • 🎥 Slope from equation
        • 🎥 Writing linear equations in all forms
      • Distance between a point and a line
        • 🎥 Distance between point & line
    • Conic sections
      • Introduction to conic sections
        • 🎥 Intro to conic sections
      • Features of a circle
        • 🎥 Graphing circles from features
        • 🎥 Features of a circle from its graph
      • Standard equation of a circle
        • 🎥 Features of a circle from its standard equation
        • 🎥 Graphing a circle from its standard equation
        • 🎥 Writing standard equation of a circle
      • Expanded equation of a circle
        • 🎥 Features of a circle from its expanded equation
      • Features of an ellipse
        • 🎥 Intro to ellipses
      • Equation of an ellipse
        • 🎥 Ellipse standard equation from graph
        • 🎥 Ellipse graph from standard equation
      • Foci of an ellipse
        • 🎥 Foci of an ellipse from equation
      • Features of a parabola
        • 🎥 Intro to focus & directrix
        • 🎥 Equation of a parabola from focus & directrix
        • 🎥 Focus & directrix of a parabola from equation
      • Features of a hyperbola
        • 🎥 Intro to hyperbolas
        • 🎥 Vertices & direction of a hyperbola
        • 🎥 Vertices & direction of a hyperbola (example 2)
        • 🎥 Graphing hyperbolas (old example)
      • Foci of a hyperbola
        • 🎥 Foci of a hyperbola from equation
        • 🎥 Proof of the hyperbola foci formula
      • Identifying conic sections from their expanded equations
        • 🎥 Conic section from expanded equation: circle & parabola
        • 🎥 Conic section from expanded equation: ellipse
        • 🎥 Conic section from expanded equation: hyperbola
    • Limits
      • Limits introduction
        • 🎥 Newton, Leibniz, and Usain Bolt
        • 🎥 Limits intro
      • Limits from tables
        • 🎥 Limits from tables
      • Limits from graphs
        • 🎥 Limits from graphs: function undefined
        • 🎥 Limits from graphs: limit isn't equal to the function's value
        • 🎥 Limits from graphs: asymptote
      • One-sided limits
        • 🎥 One-sided limits from graphs
        • 🎥 One-sided limits from graphs: asymptote
        • 🎥 One-sided limits from tables
      • One-sided vs. Two-sided limits
        • 🎥 1-sided vs. 2-sided limits (graphical)
        • 🎥 One-sided limit from equation
        • 🎥 Connecting limits and graphical behavior (more examples)
      • Formal definition of limits (optional)
        • 🎥 Formal definition of limits Part 1: intuition review
        • 🎥 Formal definition of limits Part 2: building the idea
        • 🎥 Formal definition of limits Part 3: the definition
        • 🎥 Formal definition of limits Part 4: using the definition
      • Review: Limits basics
      • Limits from equations (direct substitution)
        • 🎥 Limits by direct substitution
        • 🎥 Undefined limits by direct substitution
      • Limits from equations (factoring & rationalizing)
        • 🎥 Limits by factoring
        • 🎥 Limits by rationalizing
      • Squeeze theorem
        • 🎥 Squeeze theorem intro
        • 🎥 Squeeze theorem example
        • 🎥 Limit of sin(x)/x as x approaches 0
      • Limits of trigonometric functions
        • 🎥 Trig limit using pythagorean identity
        • 🎥 Trig limit using double angle identity
      • Limits of piecewise functions
        • 🎥 Analyzing functions for discontinuities (continuous example)
        • 🎥 Analyzing functions for discontinuities (discontinuity example)
      • Review: Limits from equations
    • Derivatives
      • Introduction to differential calculus
        • 🎥 Newton, Leibniz, and Usain Bolt
        • 🎥 Derivative as slope of curve
        • 🎥 Derivative & the direction of a function
      • Derivative as slope of tangent line
        • 🎥 The derivative & tangent line equations
        • 🎥 Interpreting derivative challenge
      • Derivative as instantaneous rate of change
        • 🎥 Tangent slope as instantaneous rate of change
        • 🎥 Estimating derivatives with two consecutive secant lines
        • 🎥 Approximating instantaneous rate of change with average rate of change
      • Secant lines
        • 🎥 Slope of a line secant to a curve
        • 🎥 Secant line with arbitrary difference
        • 🎥 Secant line with arbitrary point
        • 🎥 Secant line with arbitrary difference (with simplification)
        • 🎥 Secant line with arbitrary point (with simplification)
        • 🎥 Secant lines: challenging problem 1
        • 🎥 Secant lines: challenging problem 2
      • Derivative as a limit
        • 🎥 Formal definition of the derivative as a limit
        • 🎥 Derivative as a limit: numerical
      • Formal definition of derivative
        • 🎥 Formal and alternate form of the derivative
        • 🎥 Worked example: Derivative as a limit
        • 🎥 Worked example: Derivative from limit expression
      • Using the formal definition of derivative
        • 🎥 The derivative of x² at x=3 using the formal definition
        • 🎥 The derivative of x² at any point using the formal definition
        • 🎥 Limit expression for the derivative of a linear function
        • 🎥 Limit expression for the derivative of cos(x) at a minimum point
        • 🎥 Limit expression for the derivative of function (graphical)
      • Derivative as a function
        • 🎥 The graphical relationship between a function & its derivative (part 1)
        • 🎥 The graphical relationship between a function & its derivative (part 2)
        • 🎥 Matching functions & their derivatives graphically
        • 🎥 Connecting f and f' graphically
      • Review: Derivative basics
    • Differentiation
      • Basic differentiation rules
        • 🎥 Basic derivative rules (Part 1)
        • 🎥 Basic derivative rules (Part 2)
        • 🎥 Basic derivative rules: find the error
        • 🎥 Basic derivative rules: table
      • Power rule
        • 🎥 Power rule
        • 🎥 Justifying the power rule
        • 🎥 Proof of power rule for positive integer powers
        • 🎥 Proof of power rule for square root function
      • Polynomial functions differentiation
        • 🎥 Differentiating polynomials
        • 🎥 Differentiating polynomials example
        • 🎥 Tangents of polynomials
      • Rational functions differentiation (intro)
        • 🎥 Negative powers differentiation
        • 🎥 Worked example: Tangent to the graph of 1/x
      • Radical functions differentiation (intro)
        • 🎥 Fractional powers differentiation
        • 🎥 Radical functions differentiation intro
      • Sine & cosine, eˣ and ln(x) derivatives
        • 🎥 Derivatives of sin(x), cos(x), tan(x), eˣ & ln(x)
        • 🎥 Proof: The derivative of 𝑒ˣ is 𝑒ˣ
        • 🎥 Proof: the derivative of ln(x) is 1/x
        • 🎥 Worked example: Derivatives of sin(x) and cos(x)
      • Review: Basic differentiation
      • Product rule
        • 🎥 Product rule
        • 🎥 Differentiating products
        • 🎥 Worked example: Product rule with table
        • 🎥 Worked example: Product rule with mixed implicit & explicit
        • 🎥 Product rule to find derivative of product of three functions
        • 🎥 Product rule proof
    • Statistics
      • Measures of dispersion
        • 🎥 Measures of spread: range, variance & standard deviation
      • Range
        • 🎥 Range and mid-range
        • 🎥 Median & range puzzlers
      • Mean absolute deviation (grouped data)
        • 🎥 Mean absolute deviation (MAD)
        • 🎥 Mean absolute deviation example
      • Variance and standard deviation (ungrouped data):
        • 🎥 Measures of spread: range, variance & standard deviation
        • 🎥 Variance of a population
        • 🎥 Population standard deviation
        • 🎥 Statistics: Variance of a population
        • 🎥 Statistics: Alternate variance formulas
      • Comparing distributions
        • 🎥 Comparing distributions with dot plots (example problem)
    • Probability
      • Basic probability
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
      • Addition rule for probability
        • 🎥 Probability with Venn diagrams
        • 🎥 Addition rule for probability
      • Compound probability of independent events using diagrams
        • 🎥 Die rolling probability
        • 🎥 Probability with counting outcomes
        • 🎥 Compound events example with tree diagram
      • Compound probability of independent events using the multiplication rule
        • 🎥 Compound probability of independent events
        • 🎥 Probability without equally likely events
        • 🎥 Independent events example: test taking
        • 🎥 Die rolling probability with independent events
        • 🎥 Coin flipping probability
        • 🎥 Free-throw probability
        • 🎥 Three-pointer vs free-throw probability
      • Probability using combinatorics
        • 🎥 Probability using combinations
        • 🎥 Probability & combinations (2 of 2)
        • 🎥 Probability with counting outcomes
        • 🎥 Getting exactly two heads (combinatorics)
        • 🎥 Exactly three heads in five flips
        • 🎥 Generalizing with binomial coefficients (bit advanced)
        • 🎥 Example: Different ways to pick officers
        • 🎥 Example: Combinatorics and probability
        • 🎥 Example: Lottery probability
        • 🎥 Mega millions jackpot probability
        • 🎥 Birthday probability problem
  • Class 12 (India)
    • Relations and functions
      • Introduction to inverses of functions
        • 🎥 Intro to inverse functions
        • 🎥 Inputs & outputs of inverse functions
        • 🎥 Graphing the inverse of a linear function
      • Finding inverse functions
        • 🎥 Finding inverse functions: linear
        • 🎥 Finding inverse functions: quadratic
        • 🎥 Finding inverse functions: quadratic (example 2)
        • 🎥 Finding inverse functions: radical
        • 🎥 Finding inverse functions: rational
      • Verifying that functions are inverses
        • 🎥 Verifying inverse functions by composition
        • 🎥 Verifying inverse functions by composition: not inverse
      • Determining whether a function is invertible
        • 🎥 Determining if a function is invertible
        • 🎥 Restricting domains of functions to make them invertible
      • Formal definition of inverse functions (optional)
        • 🎥 Introduction to the inverse of a function
        • 🎥 Proof: Invertibility implies a unique solution to f(x)=y
        • 🎥 Surjective (onto) and injective (one-to-one) functions
        • 🎥 Relating invertibility to being onto and one-to-one
      • Binary operations
        • 🎥 New operator definitions 1
        • 🎥 New operator definitions 2
    • Inverse trigonometric functions
      • Basic concepts of inverse trigonometry
        • 🎥 Intro to arcsine
        • 🎥 Intro to arctangent
        • 🎥 Intro to arccosine
        • 🎥 Using inverse trig functions with a calculator
      • Domain and range of inverse trigonometric functions
        • 🎥 Domain & range of inverse tangent function
        • 🎥 Restricting domains of functions to make them invertible
    • Matrices
      • Introduction to matrices
        • 🎥 Intro to matrices
      • Adding & subtracting matrices
        • 🎥 Adding & subtracting matrices
      • Multiplying matrices by scalars
        • 🎥 Multiplying matrices by scalars
      • Properties of matrix addition & scalar multiplication
      • Multiplying matrices by matrices
        • 🎥 Intro to matrix multiplication
        • 🎥 Multiplying matrices
      • Properties of matrix multiplication
        • 🎥 Defined matrix operations
        • 🎥 Intro to identity matrix
        • 🎥 Dimensions of identity matrix
        • 🎥 Is matrix multiplication commutative?
        • 🎥 Associative property of matrix multiplication
        • 🎥 Zero matrix & matrix multiplication
        • 🎥 Using properties of matrix operations
        • 🎥 Using identity & zero matrices
      • Transpose of a matrix
        • 🎥 Transpose of a matrix
        • 🎥 Transpose of a matrix product
        • 🎥 Transposes of sums and inverses
      • Elementary matrix row operations
      • Invertible matrices
        • 🎥 Intro to matrix inverses
        • 🎥 Determining invertible matrices
      • Inverse of a matrix by elementary operations
        • 🎥 Inverting a 3x3 matrix using Gaussian elimination
    • Determinants
      • Determinants
        • 🎥 Determinant of a 2x2 matrix
        • 🎥 Determinant of a 3x3 matrix: standard method (1 of 2)
        • 🎥 Determinant of a 3x3 matrix: shortcut method (2 of 2)
      • Properties of determinants
        • 🎥 Determinant when row multiplied by scalar
        • 🎥 (correction) scalar multiplication of row
        • 🎥 Determinant when row is added
        • 🎥 Duplicate row determinant
        • 🎥 Determinant after row operations
        • 🎥 Upper triangular determinant
      • Adjoint and inverse of a matrix using minors and cofactors
        • 🎥 Inverting a 3x3 matrix using determinants Part 1: Matrix of minors and cofactor matrix
        • 🎥 Inverting a 3x3 matrix using determinants Part 2: Adjugate matrix
      • Solving equations with inverse matrices
        • 🎥 Representing linear systems with matrix equations
        • 🎥 Solving linear systems with matrix equations
        • 🎥 Matrix word problem: vector combination
      • Determinants in more depth (Optional)
        • 🎥 Deriving a method for determining inverses
        • 🎥 Example of finding matrix inverse
        • 🎥 Formula for 2x2 inverse
        • 🎥 3 x 3 determinant
        • 🎥 n x n determinant
        • 🎥 Determinants along other rows/cols
        • 🎥 Rule of Sarrus of determinants
        • 🎥 Simpler 4x4 determinant
        • 🎥 Determinant and area of a parallelogram
        • 🎥 Determinant as scaling factor
    • Continuity & differentiability
      • Continuity at a point
        • 🎥 Continuity introduction
        • 🎥 Worked example: Continuity at a point
      • Review: Limits of combined & composite functions
        • 🎥 Limit properties
        • 🎥 Limits of combined functions
        • 🎥 Limits of composite functions
      • Continuous functions
        • 🎥 Functions continuous on all real numbers
        • 🎥 Functions continuous at specific x-values
      • Review: Intermediate value theorem
        • 🎥 Intermediate value theorem
        • 🎥 Intermediate value theorem example
      • Differentiability
        • 🎥 Differentiability at a point: graphical
        • 🎥 Differentiability at a point: algebraic (function is differentiable)
        • 🎥 Differentiability at a point: algebraic (function isn't differentiable)
      • Review: Differentiation basics
      • Product rule
        • 🎥 Product rule
        • 🎥 Differentiating products
        • 🎥 Worked example: Product rule with table
        • 🎥 Worked example: Product rule with mixed implicit & explicit
        • 🎥 Product rule to find derivative of product of three functions
        • 🎥 Product rule proof
      • Quotient rule
        • 🎥 Quotient rule from product & chain rules
        • 🎥 Worked example: Quotient rule with table
        • 🎥 Tangent to y=𝑒ˣ/(2+x³)
        • 🎥 Normal to y=𝑒ˣ/x²
      • Chain rule
        • 🎥 Chain rule
        • 🎥 Worked example: Derivative of cos³(x) using the chain rule
        • 🎥 Worked example: Derivative of ln(√x) using the chain rule
        • 🎥 Worked example: Derivative of √(3x²-x) using the chain rule
        • 🎥 Worked example: Chain rule with table
      • Review: Product, quotient, & chain rule
      • Rational functions differentiation
        • 🎥 Differentiating rational functions
      • Radical functions differentiation
        • 🎥 Radical functions differentiation
      • Trigonometric functions differentiation
        • 🎥 Derivatives of tan(x) and cot(x)
        • 🎥 Derivatives of sec(x) and csc(x)
        • 🎥 Trig functions differentiation
      • Exponential functions differentiation
        • 🎥 Derivatives of sin(x), cos(x), tan(x), eˣ & ln(x)
        • 🎥 Exponential functions differentiation intro
        • 🎥 Exponential functions differentiation
      • Logarithmic functions differentiation
        • 🎥 Derivative of logₐx (for any positive base a≠1)
        • 🎥 Logarithmic functions differentiation
        • 🎥 Differentiating logarithmic functions using log properties
      • Derivatives capstone
        • 🎥 Derivative of eᶜᵒˢˣ⋅cos(eˣ)
        • 🎥 Derivative of sin(ln(x²))
    • Advanced differentiation
      • Implicit differentiation introduction
        • 🎥 Implicit differentiation
        • 🎥 Worked example: Implicit differentiation
        • 🎥 Worked example: Evaluating derivative with implicit differentiation
        • 🎥 Showing explicit and implicit differentiation give same result
      • Implicit differentiation (advanced examples)
        • 🎥 Implicit differentiation (advanced example)
        • 🎥 Implicit differentiation (advanced example)
        • 🎥 Implicit differentiation (advanced example)
        • 🎥 Derivative of ln(x) from derivative of 𝑒ˣ and implicit differentiation
      • Inverse trig functions differentiation
        • 🎥 Derivative of inverse sine
        • 🎥 Derivative of inverse cosine
        • 🎥 Derivative of inverse tangent
      • Derivatives of inverse functions
        • 🎥 Derivatives of inverse functions: from equation
        • 🎥 Derivatives of inverse functions: from table
      • Disguised derivatives
        • 🎥 Derivatives expressed as limits
      • Proofs for the derivatives of eˣ and ln(x)
        • 🎥 Proof: d/dx(ln x) = 1/x
        • 🎥 Proof: d/dx(eˣ) = eˣ
        • 🎥 Proofs of derivatives of ln(x) and eˣ
      • Logarithmic differentiation
        • 🎥 Composite exponential function differentiation
        • 🎥 Worked example: Composite exponential function differentiation
      • Review: Advanced differentiation
      • Higher-order derivatives
        • 🎥 Second derivatives
      • Mean value theorem
        • 🎥 Mean value theorem
        • 🎥 Mean value theorem example: polynomial
        • 🎥 Mean value theorem example: square root function
        • 🎥 Mean value theorem application
    • Playing with graphs (using differentiation)
      • Critical points
        • 🎥 Introduction to minimum and maximum points
        • 🎥 Identifying relative minimum and maximum values
        • 🎥 Critical points introduction
        • 🎥 Finding critical points
      • Increasing & decreasing intervals
        • 🎥 Finding decreasing interval given the function
        • 🎥 Finding increasing interval given the derivative
      • Relative minima & maxima
        • 🎥 Finding relative extrema (first derivative test)
        • 🎥 Analyzing a function with its derivative
        • 🎥 Worked example: finding relative extrema
      • Absolute minima & maxima
        • 🎥 Extreme value theorem
        • 🎥 Finding absolute extrema on a closed interval
        • 🎥 Absolute minima & maxima (entire domain)
      • Review: Increasing/decreasing intervals & extrema
      • Concavity
        • 🎥 Concavity introduction
        • 🎥 Analyzing concavity (graphical)
        • 🎥 Analyzing concavity (algebraic)
        • 🎥 Second derivative test
      • Points of inflection
        • 🎥 Inflection points introduction
        • 🎥 Inflection points (graphical)
        • 🎥 Worked example: Inflection points from first derivative
        • 🎥 Inflection points (algebraic)
      • Sketching graphs using calculus
        • 🎥 Curve sketching with calculus: polynomial
        • 🎥 Curve sketching with calculus: logarithm
      • Review: Concavity & points of inflection
    • Applications of derivatives
      • Approximations
        • 🎥 Local linearity
        • 🎥 Linear approximation example (old)
      • Rectilinear motion (optional)
        • 🎥 Motion problems: when a particle is speeding up
        • 🎥 Motion problems: finding the maximum acceleration
        • 🎥 Analyzing rectilinear motion graphically
        • 🎥 Total distance traveled by a particle
      • Related rates
        • 🎥 Related rates intro
        • 🎥 Related rates: Approaching cars
        • 🎥 Related rates: Falling ladder
        • 🎥 Related rates: water pouring into a cone
        • 🎥 Related rates: shadow
        • 🎥 Related rates: balloon
      • Tangents & Normals
        • 🎥 Tangent to y=𝑒ˣ/(2+x³)
        • 🎥 Worked example: Tangent to the graph of 1/x
        • 🎥 Normal to y=𝑒ˣ/x²
      • Optimization
        • 🎥 Optimization: sum of squares
        • 🎥 Optimization: box volume (Part 1)
        • 🎥 Optimization: box volume (Part 2)
        • 🎥 Optimization: profit
        • 🎥 Optimization: cost of materials
        • 🎥 Optimization: area of triangle & square (Part 1)
        • 🎥 Optimization: area of triangle & square (Part 2)
        • 🎥 Optimization problem: extreme normaline to y=x²
      • Applied rates of change
        • 🎥 Applied rate of change: forgetfulness
        • 🎥 Applied rates of change: marginal costs
        • 🎥 Marginal cost & differential calculus
      • L'Hôpital's rule
        • 🎥 L'Hôpital's rule introduction
        • 🎥 L'Hôpital's rule: limit at 0 example
        • 🎥 L'Hôpital's rule: challenging problem
        • 🎥 L'Hôpital's rule: limit at infinity example
        • 🎥 L'Hôpital's rule: solve for a variable
        • 🎥 L’Hôpital’s rule (composite exponential functions)
        • 🎥 Proof of special case of l'Hôpital's rule
      • Review: Derivative applications
    • Indefinite Integrals
      • Antiderivatives
        • 🎥 Antiderivatives and indefinite integrals
      • Indefinite integrals intro
        • 🎥 Reverse power rule
        • 🎥 Rewriting before integrating: challenge problem
        • 🎥 Visually determining antiderivative
        • 🎥 Graphs of indefinite integrals
      • Indefinite integrals of common functions
        • 🎥 Indefinite integrals of sin(x), cos(x), and eˣ
        • 🎥 Indefinite integral of 1/x
        • 🎥 Finding specific antiderivatives: rational function
        • 🎥 Finding specific antiderivatives: exponential function
      • Review: Indefinite integrals & antiderivatives
      • Integration by parts
        • 🎥 Integration by parts intro
        • 🎥 Integration by parts: ∫x⋅cos(x)dx
        • 🎥 Integration by parts: ∫ln(x)dx
        • 🎥 Integration by parts: ∫x²⋅𝑒ˣdx
        • 🎥 Integration by parts: ∫𝑒ˣ⋅cos(x)dx
      • u-substitution
        • 🎥 𝘶-substitution intro
        • 🎥 𝘶-substitution: rational function
        • 🎥 𝘶-substitution: multiplying by a constant
        • 🎥 𝘶-substitution: logarithmic function
        • 🎥 𝘶-substitution: composite function
        • 🎥 𝘶-substitution: special application
        • 🎥 𝘶-substitution: definite integral of exponential function
        • 🎥 𝘶-substitution: double substitution
      • Reverse chain rule
        • 🎥 Reverse chain rule introduction
        • 🎥 Reverse chain rule example
        • 🎥 Integral of tan x
      • Partial fraction expansion
        • 🎥 Partial fraction expansion to evaluate integral
        • 🎥 Dividing expressions to evaluate integral
      • Integration using trigonometric identities
        • 🎥 Integral of cos^3(x)
        • 🎥 Integral of sin^2(x) cos^3(x)
        • 🎥 Integral of sin^4(x)
      • Trigonometric substitution
        • 🎥 Introduction to trigonometric substitution
        • 🎥 Substitution with x=sin(theta)
        • 🎥 More trig sub practice
        • 🎥 Trig and u substitution together (part 1)
        • 🎥 Trig and u substitution together (part 2)
        • 🎥 Trig substitution with tangent
        • 🎥 More trig substitution with tangent
        • 🎥 Long trig sub problem
    • Definite Integrals
      • Functions defined by integrals
        • 🎥 Functions defined by integrals
        • 🎥 Functions defined by integrals: switched interval
        • 🎥 Functions defined by integrals: challenge problem
      • Fundamental theorem of calculus
        • 🎥 Fundamental theorem of calculus (Part 1)
        • 🎥 Worked example: Finding derivative with fundamental theorem of calculus
        • 🎥 Finding derivative with fundamental theorem of calculus: x is on both bounds
        • 🎥 Proof of fundamental theorem of calculus
      • Fundamental theorem of calculus: chain rule
        • 🎥 Worked example: Finding derivative with fundamental theorem of calculus
        • 🎥 Finding derivative with fundamental theorem of calculus: x is on lower bound
      • Definite integral as area
        • 🎥 Worked example: Definite integral by thinking about the function's graph
      • Definite integral properties
        • 🎥 Integrating scaled version of function
        • 🎥 Integrating sums of functions
        • 🎥 Definite integral over a single point
        • 🎥 Breaking up integral interval
        • 🎥 Definite integral of shifted function
        • 🎥 Switching bounds of definite integral
        • 🎥 Worked examples: Definite integral properties 1
        • 🎥 Definite integral properties (no graph): function combination
        • 🎥 Worked examples: Definite integral properties 2
        • 🎥 Definite integral properties (no graph): breaking interval
        • 🎥 Examples leveraging integration properties
      • Review: Definite integral basics
      • Definite integral evaluation
        • 🎥 Fundamental theorem of calculus (Part 2)
        • 🎥 Intuition for second part of fundamental theorem of calculus
        • 🎥 Area between a curve and the x-axis
        • 🎥 Area between a curve and the x-axis: negative area
        • 🎥 Definite integral of rational function
        • 🎥 Definite integral of radical function
        • 🎥 Definite integral of trig function
        • 🎥 Definite integral involving natural log
      • Definite integrals of piecewise functions
        • 🎥 Definite integral of piecewise function
        • 🎥 Definite integral of absolute value function
      • Challenging definite integrals
        • 🎥 Challenging definite integration
      • Improper integrals
        • 🎥 Introduction to improper integrals
        • 🎥 Improper integral with two infinite bounds
        • 🎥 Divergent improper integral
      • Riemann sums
        • 🎥 Riemann approximation introduction
        • 🎥 Riemann sums in summation notation
        • 🎥 Motion problem with Riemann sum approximation
      • Riemann sums with sigma notation
        • 🎥 Worked example: Riemann sums in summation notation
        • 🎥 Riemann sums in summation notation: challenge problem
      • Trapezoidal rule
        • 🎥 Midpoint and trapezoidal sums in summation notation
        • 🎥 Trapezoidal sums
      • Definite integral as the limit of a Riemann sum
        • 🎥 Definite integral as the limit of a Riemann sum
        • 🎥 Ranking area estimates
      • Review: Riemann sums
    • Application of integrals
      • Area under simple curves
        • 🎥 Area between a curve and the x-axis
      • Area between two curves
        • 🎥 Area between curves
        • 🎥 Area between curves with multiple boundaries
      • Area defined by polar graphs
        • 🎥 Area bounded by polar curves
        • 🎥 Worked example: Area enclosed by cardioid
        • 🎥 Worked example: Area between two polar graphs
        • 🎥 Evaluating definite integral with calculator
      • Arc length (optional)
        • 🎥 Arc length intro
        • 🎥 Worked example: arc length
        • 🎥 Worked example: arc length (advanced)
    • Differential equations
      • Intro to differential equations
        • 🎥 Differential equations introduction
        • 🎥 Worked example: linear solution to differential equation
        • 🎥 Writing a differential equation
      • Slope fields (optional)
        • 🎥 Slope fields introduction
        • 🎥 Worked example: equation from slope field
        • 🎥 Worked example: slope field from equation
        • 🎥 Worked example: forming a slope field
        • 🎥 Solutions from slope field
        • 🎥 Worked example: range of solution curve from slope field
      • Separable equations
        • 🎥 Separable equations introduction
        • 🎥 Addressing treating differentials algebraically
        • 🎥 Worked example: identifying separable equations
        • 🎥 Worked example: finding a specific solution to a separable equation
        • 🎥 Worked example: separable equation with an implicit solution
        • 🎥 Separable equations (old)
        • 🎥 Separable equations example (old)
      • Homogeneous equations
        • 🎥 First order homogenous equations
        • 🎥 First order homogeneous equations 2
      • Exact equations and integrating factors
        • 🎥 Exact equations intuition 1 (proofy)
        • 🎥 Exact equations intuition 2 (proofy)
        • 🎥 Exact equations example 1
        • 🎥 Exact equations example 2
        • 🎥 Exact equations example 3
        • 🎥 Integrating factors 1
        • 🎥 Integrating factors 2
    • Vector algebra
      • Vector basics
        • 🎥 Intro to vectors & scalars
        • 🎥 Recognizing vectors
        • 🎥 Equivalent vectors
        • 🎥 Components of vectors
        • 🎥 Components of vectors (example 2)
      • Scalar multiplication
        • 🎥 Scalar multiplication of vectors
        • 🎥 Analyzing scalar multiplication
      • Magnitude of vectors
        • 🎥 Vector magnitude from graph
        • 🎥 Vector magnitude from components
        • 🎥 Vector magnitude from initial & terminal points
      • Vector addition & subtraction
        • 🎥 Adding & subtracting vectors
        • 🎥 Graphically adding & subtracting vectors
        • 🎥 Graphically subtracting vectors
        • 🎥 Adding vectors algebraically & graphically
      • Combined vector operations
        • 🎥 Combined vector operations
      • Unit vectors
        • 🎥 Worked example: finding unit vector with given direction
        • 🎥 Unit vectors intro
        • 🎥 Worked example: Scaling unit vectors
      • Magnitude & direction form of vectors
        • 🎥 Direction of vectors from components: 1st & 2nd quadrants
        • 🎥 Direction of vectors from components: 3rd & 4th quadrants
      • Adding vectors in magnitude & direction form
        • 🎥 Adding vectors in magnitude & direction form (1 of 2)
        • 🎥 Adding vectors in magnitude & direction form (2 of 2)
        • 🎥 Vector addition & magnitude
      • Component form of vectors
        • 🎥 Vector components from magnitude & direction
      • Applications of vectors
        • 🎥 Vectors word problem: pushing a box
        • 🎥 Vectors word problem: tug of war
        • 🎥 Vectors word problem: hiking
      • Multiplication of a vector by a scalar
        • 🎥 Scalar multiplication of vectors
        • 🎥 Analyzing scalar multiplication
      • Dot product: Scaler product of two vectors
        • 🎥 Vector dot product and vector length
        • 🎥 Proving vector dot product properties
        • 🎥 Proof of the Cauchy-Schwarz inequality
        • 🎥 Vector triangle inequality
      • Cross product: Vector product of two vectors
        • 🎥 Cross product introduction
        • 🎥 Proof: Relationship between cross product and sin of angle
        • 🎥 Dot and cross product comparison/intuition
        • 🎥 Vector triple product expansion (very optional)
        • 🎥 Combined vector operations
    • Linear Programming
      • Modeling with linear inequalities
        • 🎥 Writing two-variable inequalities word problem
        • 🎥 Solving two-variable inequalities word problem
        • 🎥 Graphs of two-variable inequalities word problem
        • 🎥 Interpreting two-variable inequalities word problem
        • 🎥 Modeling with systems of inequalities
        • 🎥 Writing systems of inequalities word problem
        • 🎥 Solving systems of inequalities word problem
        • 🎥 Graphs of systems of inequalities word problem
        • 🎥 Analyzing structure with linear inequalities: fruits
        • 🎥 Analyzing structure with linear inequalities: balls
    • Probability of events
      • Review: Multiplication rule for independent events
        • 🎥 Compound probability of independent events
        • 🎥 Independent events example: test taking
        • 🎥 Free-throw probability
      • Review: Combinatorics and probability
        • 🎥 Probability using combinations
        • 🎥 Probability & combinations (2 of 2)
        • 🎥 Example: Different ways to pick officers
        • 🎥 Example: Combinatorics and probability
        • 🎥 Exactly three heads in five flips
        • 🎥 Generalizing with binomial coefficients (bit advanced)
        • 🎥 Example: Lottery probability
        • 🎥 Conditional probability and combinations
        • 🎥 Mega millions jackpot probability
        • 🎥 Birthday probability problem
      • Multiplication rule for dependent events
        • 🎥 Dependent probability introduction
        • 🎥 Independent & dependent probability
        • 🎥 Dependent probability: coins
      • Conditional probability and independence
        • 🎥 Calculating conditional probability
        • 🎥 Analyzing event probability for independence
        • 🎥 Conditional probability explained visually
      • Baye's Theorem
        • 🎥 Conditional probability with Bayes' Theorem
      • Discrete and continuous random variables and probability models
        • 🎥 Random variables
        • 🎥 Discrete and continuous random variables
        • 🎥 Constructing a probability distribution for random variable
        • 🎥 Probability models example: frozen yogurt
        • 🎥 Probability density functions
      • Expected value
        • 🎥 Term life insurance and death probability
        • 🎥 Getting data from expected value
        • 🎥 Expected profit from lottery ticket
        • 🎥 Expected value while fishing
        • 🎥 Comparing insurance with expected value
        • 🎥 Law of large numbers
      • Variance of random variables
        • 🎥 Deriving the variance of the difference of random variables
      • Binomial random variables
        • 🎥 Binomial distribution
        • 🎥 Visualizing a binomial distribution
        • 🎥 Binomial probability example
        • 🎥 Generalizing k scores in n attempts
        • 🎥 Free throw binomial probability distribution
        • 🎥 Graphing basketball binomial distribution
        • 🎥 Expected value of binomial distribution
      • Poisson distribution (optional)
        • 🎥 Poisson process 1
        • 🎥 Poisson process 2
  • Arithmetic
    • Addition and subtraction
      • Basic addition and subtraction
        • 🎥 Basic addition
        • 🎥 Basic subtraction
      • Addition and subtraction within 20
        • 🎥 Adding 8 + 7
        • 🎥 Subtracting 14 - 6
      • Strategies for adding and subtracting within 100
        • 🎥 Adding 53+17 by making a group of 10
        • 🎥 Adding by making a group of 10
        • 🎥 Strategies for adding 2-digit numbers
        • 🎥 Addition and subtraction with number lines
      • Addition within 100
        • 🎥 Adding 2-digit numbers without regrouping 2
        • 🎥 Adding with regrouping
      • Subtraction within 100
        • 🎥 Subtracting 2-digit numbers without regrouping 1
        • 🎥 Subtracting with regrouping (borrowing)
      • Word problems within 100
        • 🎥 Subtraction word problem: tennis balls
        • 🎥 Addition word problem: horses
        • 🎥 Subtraction word problem: snow
        • 🎥 Subtraction word problem: crayons
      • Multi-digit addition with regrouping
        • 🎥 Adding with regrouping
        • 🎥 Adding 3-digit numbers with regrouping
      • Multi-digit subtraction with regrouping
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping twice)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping from 0)
        • 🎥 Subtracting in your head (no regrouping)
    • Multiplication and division
      • Multiplication intro
        • 🎥 Intro to multiplication
        • 🎥 Multiplication as groups of objects
        • 🎥 More ways to multiply
      • Multiplication by 10s, 100s, and 1000s
        • 🎥 Multiplying 1-digit numbers by multiples of 10, 100, and 1000
        • 🎥 Multiplying by multiples of 10
        • 🎥 Multiplying 10s
        • 🎥 Multiplying 1-digit numbers by 10, 100, and 1000
      • Multiplication: place value and area models
        • 🎥 More ways to multiply
        • 🎥 Multiplying with distributive property
        • 🎥 Multiplying with area model: 6 x 7981
        • 🎥 Multiplying with area model: 78 x 65
      • Multi-digit multiplication
        • 🎥 Multiplying 2-digit by 1-digit
        • 🎥 Multiplying 3-digit by 1-digit
        • 🎥 Multiplying 3-digit by 1-digit (regrouping)
        • 🎥 Multiplying 4-digit by 1-digit (regrouping)
        • 🎥 Multiplying 2-digit numbers
        • 🎥 Multiplying multi-digit numbers
      • Division intro
        • 🎥 The idea of division
      • Division: place value and area
        • 🎥 Division using place value
        • 🎥 Division with area models
      • Multi-digit division (no remainders)
        • 🎥 Intro to long division (no remainders)
        • 🎥 Long division: 280÷5
        • 🎥 Introduction to dividing by 2-digits
      • Remainders
        • 🎥 Intro to remainders
        • 🎥 Worked example: Long division with remainders: 3771÷8
        • 🎥 Worked example: Long division with remainders: 2292÷4
      • Multi-digit division (remainders)
        • 🎥 Dividing by 2-digits: 9815÷65
        • 🎥 Dividing by 2-digits: 7182÷42
      • Multiplication and division word problems
        • 🎥 Division word problem: field goals
        • 🎥 Multiplication word problem: pizza
    • Negative numbers
      • Intro to negative numbers
        • 🎥 Intro to negative numbers
      • Order negative numbers
        • 🎥 Ordering negative numbers
      • Number opposites
        • 🎥 Number opposites
        • 🎥 Negative symbol as opposite
      • Absolute value
        • 🎥 Absolute value examples
        • 🎥 Comparing absolute values
        • 🎥 Placing absolute values on the number line
        • 🎥 Absolute value as distance between numbers
      • Intro to adding negative numbers
        • 🎥 Adding negative numbers example
        • 🎥 Adding numbers with different signs
      • Intro to subtracting negative numbers
        • 🎥 Adding & subtracting negative numbers
        • 🎥 Subtracting a negative = adding a positive
      • Adding & subtracting negative numbers
        • 🎥 Adding numbers with different signs
      • Multiplying & dividing negative numbers
        • 🎥 Why a negative times a negative makes sense
        • 🎥 Why a negative times a negative is a positive
        • 🎥 Multiplying positive & negative numbers
        • 🎥 Dividing positive and negative numbers
    • Fractions
      • Fractions intro
        • 🎥 Intro to fractions
        • 🎥 Cutting shapes into equal parts
        • 🎥 Identifying unit fractions word problem
        • 🎥 More than one equal section
        • 🎥 Recognizing fractions greater than 1
        • 🎥 Identifying numerators and denominators
      • Fractions on the number line
        • 🎥 Fractions on a number line
        • 🎥 Fractions on number line widget
      • Equivalent fractions
        • 🎥 Intro to equivalent fractions
        • 🎥 Visualizing equivalent fractions
        • 🎥 Equivalent fraction models
        • 🎥 More on equivalent fractions
      • Comparing fractions
        • 🎥 Comparing fractions with > and < symbols
        • 🎥 Comparing fractions with like numerators and denominators
        • 🎥 Comparing fractions
        • 🎥 Comparing fractions 2 (unlike denominators)
        • 🎥 Comparing and ordering fractions
        • 🎥 Ordering fractions
      • Common denominators
        • 🎥 Finding common denominators
        • 🎥 Common denominators: 1/4 and 5/6
        • 🎥 Common denominators: 3/5 and 7/2
      • Decomposing fractions
        • 🎥 Decomposing a fraction visually
        • 🎥 Decomposing a mixed number
      • Adding and subtracting fractions with like denominators
        • 🎥 Adding fractions with like denominators
        • 🎥 Subtracting fractions with like denominators
        • 🎥 Adding mixed numbers with like denominators
        • 🎥 Subtracting mixed numbers with like denominators
      • Mixed numbers
        • 🎥 Rewriting mixed numbers as improper fractions
        • 🎥 Rewriting improper fractions as mixed numbers
        • 🎥 Comparing improper fractions and mixed numbers
      • Adding and subtracting fractions with unlike denominators
        • 🎥 Visually adding fractions: 5/6+1/4
        • 🎥 Visually subtracting fractions: 3/4-5/8
        • 🎥 Adding fractions with unlike denominators
        • 🎥 Subtracting fractions with unlike denominators
      • Adding and subtracting mixed number with unlike denominators
        • 🎥 Adding mixed numbers: 19 3/18 + 18 2/3
        • 🎥 Subtracting mixed numbers: 7 6/9 - 3 2/5
        • 🎥 Adding mixed numbers with regrouping
        • 🎥 Subtracting mixed numbers with regrouping (unlike denominators)
      • Adding and subtracting fractions word problems
        • 🎥 Fraction word problem: piano
        • 🎥 Fraction word problem: lizard
        • 🎥 Adding fractions word problem: paint
        • 🎥 Subtracting fractions word problem: tomatoes
      • Multiplying whole numbers and fractions
        • 🎥 Multiplying fractions and whole numbers visually
        • 🎥 Equivalent fraction and whole number multiplication problems
      • Multiplication as scaling
        • 🎥 Multiplication as scaling with fractions
      • Multiplying fractions
        • 🎥 Intro to multiplying 2 fractions
        • 🎥 Multiplying 2 fractions: fraction model
        • 🎥 Multiplying 2 fractions: number line
        • 🎥 Multiplying 2 fractions: 5/6 x 2/3
      • Multiplying mixed numbers
        • 🎥 Multiplying mixed numbers
      • Multiplying fractions word problems
        • 🎥 Multiplying fractions word problem: muffins
        • 🎥 Multiplying fractions word problem: laundry
        • 🎥 Multiplying fractions word problem: bike
      • Fractions as division
        • 🎥 Understanding fractions as division
        • 🎥 Creating a fraction through division
      • Dividing unit fractions and whole numbers
        • 🎥 Dividing a unit fraction by a whole number
        • 🎥 Dividing a whole number by a unit fraction
      • Dividing fractions by fractions
        • 🎥 Understanding division of fractions
        • 🎥 Dividing fractions: 2/5 ÷ 7/3
        • 🎥 Dividing fractions: 3/5 ÷ 1/2
      • Dividing fractions word problems
        • 🎥 Dividing whole numbers & fractions: t-shirts
    • Decimals
      • Intro to decimals
        • 🎥 Intro to decimals
        • 🎥 Decimals as words
        • 🎥 Write decimal in expanded form
        • 🎥 Writing decimal numbers shown in grids
      • Decimals on the number line
        • 🎥 Graphing tenths from 0 to 1
        • 🎥 Identifying tenths on a number line
        • 🎥 Plotting decimal numbers on a number line
        • 🎥 Graphing hundredths from 0 to 0.1
        • 🎥 Identifying hundredths on a number line
      • Rounding decimals
        • 🎥 Worked example: Rounding decimals to nearest tenth
      • Comparing decimals
        • 🎥 Comparing decimals 2
        • 🎥 Comparing decimals 3
        • 🎥 Comparing decimals: 9.97 and 9.798
        • 🎥 Comparing decimals: 156.378 and 156.348
        • 🎥 Ordering decimals 1
        • 🎥 Ordering decimals 2
      • Rewriting decimals as fractions
        • 🎥 Writing a number as a fraction and decimal
        • 🎥 Rewriting decimals as fractions: 0.15
        • 🎥 Rewriting decimals as fractions: 0.8
        • 🎥 Rewriting decimals as fractions: 0.36
        • 🎥 Fraction to decimal: 11/25
        • 🎥 Worked example: Converting a fraction (7/8) to a decimal
        • 🎥 Converting decimals to fractions 2 (ex 1)
        • 🎥 Converting decimals to fractions 2 (ex 2)
      • Adding decimals
        • 🎥 Introduction to adding decimals: tenths
        • 🎥 Adding decimals with hundredths
        • 🎥 Adding decimals: 9.087+15.31
        • 🎥 Adding decimals: 0.822+5.65
        • 🎥 Adding three decimals
      • Subtracting decimals
        • 🎥 Strategies for subtracting more complex decimals with tenths
        • 🎥 More advanced subtraction strategies with hundredths
        • 🎥 Subtracting decimals: 9.005 - 3.6
        • 🎥 Subtracting decimals: 39.1 - 0.794
      • Adding and subtracting decimals word problems
        • 🎥 Adding decimals word problem
        • 🎥 Adding & subtracting decimals word problem
      • Multiplying decimals
        • 🎥 Intro to multiplying decimals
        • 🎥 Developing strategies for multiplying decimals
        • 🎥 Multiplying decimals: place value
        • 🎥 Multiplying challenging decimals
      • Dividing decimals
        • 🎥 Dividing whole numbers to get a decimal
        • 🎥 Division strategies for decimal quotients
        • 🎥 Multi-digit division strategies for decimals
        • 🎥 Strategies for dividing by tenths
        • 🎥 Dividing decimals completely
        • 🎥 Dividing decimals with hundredths
        • 🎥 Long division with decimals
        • 🎥 Dividing by a multi-digit decimal
  • Pre-algebra
    • Arithmetic properties
      • Place value
        • 🎥 Finding place value
        • 🎥 Writing a number in standard form
        • 🎥 Writing a number in expanded form
        • 🎥 Comparing place values
        • 🎥 Understanding place value
        • 🎥 Place value when multiplying and dividing by 10
        • 🎥 Regrouping numbers into various place values
        • 🎥 Comparing whole number place values
        • 🎥 Regrouping whole number place values
        • 🎥 Adding whole numbers by their place values
      • Rounding whole numbers
        • 🎥 Rounding whole numbers to nearest hundred
        • 🎥 Rounding whole numbers to nearest thousand
        • 🎥 Rounding whole numbers to nearest ten
      • Regrouping whole numbers
        • 🎥 Regrouping whole numbers: 675
        • 🎥 Regrouping whole numbers: 76,830
        • 🎥 Regrouping whole numbers: 430
      • Order of operations
        • 🎥 Intro to order of operations
        • 🎥 Order of operations example
        • 🎥 Worked example: Order of operations (PEMDAS)
      • Arithmetic properties
        • 🎥 Properties of multiplication
        • 🎥 Properties and patterns for multiplication
        • 🎥 Commutative law of addition
        • 🎥 Commutative law of multiplication
        • 🎥 Associative law of addition
        • 🎥 Associative law of multiplication
        • 🎥 Identity property of 1
        • 🎥 Identity property of 0
        • 🎥 Inverse property of addition
        • 🎥 Inverse property of multiplication
      • Distributive property
        • 🎥 Distributive property over addition
        • 🎥 Distributive property over subtraction
        • 🎥 Distributive property exercise examples
      • Rational and irrational numbers
        • 🎥 Intro to rational & irrational numbers
        • 🎥 Classifying numbers: rational & irrational
    • Factors and multiples
      • Divisibility tests
        • 🎥 Divisibility tests for 2, 3, 4, 5, 6, 9, 10
        • 🎥 Recognizing divisibility
        • 🎥 The why of the 3 divisibility rule
        • 🎥 The why of the 9 divisibility rule
      • Factors and multiples
        • 🎥 Finding factors of a number
        • 🎥 Finding factors and multiples
      • Prime numbers
        • 🎥 Prime numbers
        • 🎥 Recognizing prime and composite numbers
      • Prime factorization
        • 🎥 Prime factorization
        • 🎥 Prime factorization exercise
        • 🎥 Common divisibility examples
      • Least common multiple
        • 🎥 Least common multiple
        • 🎥 Least common multiple: repeating factors
        • 🎥 Least common multiple of three numbers
      • Greatest common factor
        • 🎥 Greatest common factor examples
        • 🎥 Greatest common factor explained
        • 🎥 GCF & LCM word problems
    • Reading and interpreting data
      • Representing data
        • 🎥 Representing data
      • Stem and leaf plots
        • 🎥 Stem-and-leaf plots
        • 🎥 Reading stem and leaf plots
      • Picture graphs, bar graphs, and histograms
        • 🎥 Reading pictographs
        • 🎥 Creating a bar graph
        • 🎥 Reading bar graphs
        • 🎥 Interpreting bar graphs: alligators
        • 🎥 Histograms
        • 🎥 Reading pie graphs (circle graphs)
      • Frequency tables and dot plots
        • 🎥 Frequency tables & dot plots
        • 🎥 Comparing dot plots, histograms, and box plots
        • 🎥 Misleading line graphs
      • Number patterns
        • 🎥 Factors and multiples: days of the week
        • 🎥 Math patterns: toothpicks
        • 🎥 Math patterns: table
    • Measurement
      • Area of rectangles
        • 🎥 Intro to area and unit squares
        • 🎥 Measuring rectangles with different unit squares
        • 🎥 Measuring area with partial unit squares
        • 🎥 Counting unit squares to find area formula
        • 🎥 Creating rectangles with a given area 2
        • 🎥 Creating rectangles with a given area 1
        • 🎥 Transitioning from unit squares to area formula
      • Perimeter
        • 🎥 Perimeter: introduction
        • 🎥 Perimeter of a shape
        • 🎥 Finding perimeter when a side length is missing
        • 🎥 Finding missing side length when given perimeter
        • 🎥 Area & perimeter word problem: table
        • 🎥 Area & perimeter word problem: dog pen
      • Volume of a rectangular prism
        • 🎥 Volume intro
        • 🎥 Measuring volume with unit cubes
        • 🎥 Measuring volume as area times length
        • 🎥 Volume of a rectangular prism
        • 🎥 Volume word problem: water tank
    • Fractions
      • Fractions intro
        • 🎥 Intro to fractions
        • 🎥 Cutting shapes into equal parts
        • 🎥 Identifying unit fractions word problem
        • 🎥 More than one equal section
        • 🎥 Recognizing fractions greater than 1
        • 🎥 Identifying numerators and denominators
      • Fractions on the number line
        • 🎥 Fractions on a number line
        • 🎥 Fractions on number line widget
      • Equivalent fractions
        • 🎥 Intro to equivalent fractions
        • 🎥 Visualizing equivalent fractions
        • 🎥 Equivalent fraction models
        • 🎥 More on equivalent fractions
      • Comparing fractions
        • 🎥 Comparing fractions with > and < symbols
        • 🎥 Comparing fractions with like numerators and denominators
        • 🎥 Comparing fractions
        • 🎥 Comparing fractions 2 (unlike denominators)
        • 🎥 Comparing and ordering fractions
        • 🎥 Ordering fractions
      • Common denominators
        • 🎥 Finding common denominators
        • 🎥 Common denominators: 3/5 and 7/2
        • 🎥 Common denominators: 1/4 and 5/6
      • Decomposing fractions
        • 🎥 Decomposing a fraction visually
        • 🎥 Decomposing a mixed number
      • Adding and subtracting fractions with like denominators
        • 🎥 Adding fractions with like denominators
        • 🎥 Subtracting fractions with like denominators
        • 🎥 Adding mixed numbers with like denominators
        • 🎥 Subtracting mixed numbers with like denominators
      • Mixed numbers
        • 🎥 Rewriting mixed numbers as improper fractions
        • 🎥 Rewriting improper fractions as mixed numbers
        • 🎥 Comparing improper fractions and mixed numbers
      • Adding and subtracting fractions with unlike denominators
        • 🎥 Visually adding fractions: 5/6+1/4
        • 🎥 Visually subtracting fractions: 3/4-5/8
        • 🎥 Adding fractions with unlike denominators
        • 🎥 Subtracting fractions with unlike denominators
      • Adding and subtracting mixed number with unlike denominators
        • 🎥 Adding mixed numbers: 19 3/18 + 18 2/3
        • 🎥 Subtracting mixed numbers: 7 6/9 - 3 2/5
        • 🎥 Adding mixed numbers with regrouping
        • 🎥 Subtracting mixed numbers with regrouping (unlike denominators)
      • Adding and subtracting fractions word problems
        • 🎥 Fraction word problem: piano
        • 🎥 Fraction word problem: lizard
        • 🎥 Adding fractions word problem: paint
        • 🎥 Subtracting fractions word problem: tomatoes
      • Multiplying whole numbers and fractions
        • 🎥 Multiplying fractions and whole numbers visually
        • 🎥 Equivalent fraction and whole number multiplication problems
      • Multiplication as scaling
        • 🎥 Multiplication as scaling with fractions
      • Multiplying fractions
        • 🎥 Intro to multiplying 2 fractions
        • 🎥 Multiplying 2 fractions: fraction model
        • 🎥 Multiplying 2 fractions: number line
        • 🎥 Multiplying 2 fractions: 5/6 x 2/3
      • Multiplying mixed numbers
        • 🎥 Multiplying mixed numbers
      • Multiplying fractions word problems
        • 🎥 Multiplying fractions word problem: muffins
        • 🎥 Multiplying fractions word problem: laundry
        • 🎥 Multiplying fractions word problem: bike
      • Fractions as division
        • 🎥 Understanding fractions as division
        • 🎥 Creating a fraction through division
      • Dividing unit fractions and whole numbers
      • Dividing fractions by fractions
        • 🎥 Understanding division of fractions
        • 🎥 Dividing fractions: 2/5 ÷ 7/3
        • 🎥 Dividing fractions: 3/5 ÷ 1/2
      • Dividing fractions word problems
        • 🎥 Dividing whole numbers & fractions: t-shirts
        • 🎥 Dividing fractions by whole numbers: studying
    • Decimals
      • Intro to decimals
        • 🎥 Intro to decimals
        • 🎥 Decimals as words
        • 🎥 Write decimal in expanded form
        • 🎥 Writing decimal numbers shown in grids
      • Decimals on the number line
        • 🎥 Graphing tenths from 0 to 1
        • 🎥 Identifying tenths on a number line
        • 🎥 Plotting decimal numbers on a number line
        • 🎥 Graphing hundredths from 0 to 0.1
        • 🎥 Identifying hundredths on a number line
      • Rounding decimals
        • 🎥 Worked example: Rounding decimals to nearest tenth
      • Comparing decimals
        • 🎥 Comparing decimals 2
        • 🎥 Comparing decimals 3
        • 🎥 Comparing decimals: 9.97 and 9.798
        • 🎥 Comparing decimals: 156.378 and 156.348
        • 🎥 Ordering decimals 1
        • 🎥 Ordering decimals 2
      • Rewriting decimals as fractions
        • 🎥 Writing a number as a fraction and decimal
        • 🎥 Rewriting decimals as fractions: 0.15
        • 🎥 Rewriting decimals as fractions: 0.8
        • 🎥 Rewriting decimals as fractions: 0.36
        • 🎥 Fraction to decimal: 11/25
        • 🎥 Worked example: Converting a fraction (7/8) to a decimal
        • 🎥 Converting decimals to fractions 2 (ex 1)
        • 🎥 Converting decimals to fractions 2 (ex 2)
      • Adding decimals
        • 🎥 Introduction to adding decimals: tenths
        • 🎥 Adding decimals with ones, tenths and hundredths
        • 🎥 Adding decimals: 9.087+15.31
        • 🎥 Adding decimals: 0.822+5.65
        • 🎥 Adding three decimals
      • Subtracting decimal
        • 🎥 Strategies for subtracting more complex decimals with tenths
        • 🎥 More advanced subtraction strategies with hundredths
        • 🎥 Subtracting decimals: 9.005 - 3.6
        • 🎥 Subtracting decimals: 39.1 - 0.794
      • Adding and subtracting decimals word problems
        • 🎥 Adding decimals word problem
        • 🎥 Adding & subtracting decimals word problem
      • Multiplying decimals
        • 🎥 Intro to multiplying decimals
        • 🎥 Developing strategies for multiplying decimals
        • 🎥 Multiplying decimals: place value
        • 🎥 Multiplying challenging decimals
      • Dividing decimals
        • 🎥 Dividing whole numbers to get a decimal
        • 🎥 Division strategies for decimal quotients
        • 🎥 Multi-digit division strategies for decimals
        • 🎥 Strategies for dividing by tenths
        • 🎥 Dividing decimals completely
        • 🎥 Dividing decimals with hundredths
        • 🎥 Long division with decimals
        • 🎥 Dividing by a multi-digit decimal
    • Negative numbers and coordinate plane
      • Intro to negative numbers
        • 🎥 Intro to negative numbers
      • Order negative numbers
        • 🎥 Ordering negative numbers
      • Number opposites
        • 🎥 Number opposites
        • 🎥 Negative symbol as opposite
      • Absolute value
        • 🎥 Absolute value examples
        • 🎥 Comparing absolute values
        • 🎥 Placing absolute values on the number line
        • 🎥 Absolute value as distance between numbers
      • Intro to adding negative numbers
        • 🎥 Adding negative numbers example
        • 🎥 Adding numbers with different signs
      • Intro to subtracting negative numbers
        • 🎥 Adding & subtracting negative numbers
        • 🎥 Subtracting a negative = adding a positive
      • Adding & subtracting negative numbers
        • 🎥 Adding numbers with different signs
      • Multiplying & dividing negative numbers
        • 🎥 Why a negative times a negative makes sense
        • 🎥 Why a negative times a negative is a positive
        • 🎥 Multiplying positive & negative numbers
        • 🎥 Dividing positive and negative numbers
      • Coordinate plane
        • 🎥 Points on the coordinate plane examples
        • 🎥 Plotting a point (ordered pair)
        • 🎥 Finding the point not graphed
        • 🎥 Quadrants of the coordinate plane
        • 🎥 Points and quadrants example
        • 🎥 Coordinate plane word problem examples
        • 🎥 Reflecting points in the coordinate plane
        • 🎥 Graphing patterns on coordinate plane
        • 🎥 Interpreting patterns on coordinate plane
        • 🎥 Interpreting relationships in ordered pairs
    • Ratios, rates, proportions
      • Intro to ratios
        • 🎥 Intro to ratios
        • 🎥 Basic ratios
        • 🎥 Equivalent ratios
        • 🎥 Equivalent ratios: recipe
        • 🎥 Equivalent ratio word problems
        • 🎥 Understanding equivalent ratios
        • 🎥 Solving ratio problems with graph
      • Visualize ratios
        • 🎥 Ratios and double number lines
        • 🎥 Solving ratio problems with tables
        • 🎥 Ratios with tape diagrams
      • Ratio application
        • 🎥 Ratios on coordinate plane
        • 🎥 Ratios and measurement
        • 🎥 Part:whole ratio word problem
        • 🎥 Part:whole ratios
      • Intro to rates
        • 🎥 Intro to rates
        • 🎥 Solving unit rate problem
        • 🎥 Solving unit price problem
        • 🎥 Multiple rates word problem
        • 🎥 Comparing rates example
        • 🎥 Finding average speed or rate
        • 🎥 Speed translation
      • Intro to percents
        • 🎥 The meaning of percent
        • 🎥 Meaning of 109%
        • 🎥 Percents from fraction models
        • 🎥 Fraction, decimal, and percent from visual model
      • Percent, fraction, decimal conversions
        • 🎥 Converting decimals to percents: 0.601
        • 🎥 Converting decimals to percents: 1.501
        • 🎥 Converting percents to decimals: 59.2%
        • 🎥 Converting percents to decimals: 113.9%
        • 🎥 Converting percents to decimals & fractions example
        • 🎥 Ordering numeric expressions
      • Percent problems
        • 🎥 Finding a percent
        • 🎥 Percent of a whole number
        • 🎥 Identifying percent amount and base
      • Percent word problems
        • 🎥 Percent word problem: 100 is what percent of 80?
        • 🎥 Percent word problem: 78 is 15% of what number?
        • 🎥 Percent word problem: guavas
        • 🎥 Percent word problem: recycling cans
        • 🎥 Percent word problem: penguins
        • 🎥 Growing by a percentage
        • 🎥 Solving percent problems
        • 🎥 Percent word problem: magic club
        • 🎥 Percent word problems: tax and discount
        • 🎥 Rational number word problem: cosmetics
        • 🎥 Rational number word problem: cab
        • 🎥 Rational number word problem: school report
      • Identifying proportional relationships
        • 🎥 Intro to proportional relationships
        • 🎥 Proportional relationships: spaghetti
        • 🎥 Proportional relationships: bananas
        • 🎥 Proportional relationships: movie tickets
        • 🎥 Proportional relationships
      • Writing & solving proportions
        • 🎥 Worked example: Solving proportions
        • 🎥 Writing proportions example
        • 🎥 Proportion word problem: hot dogs
        • 🎥 Proportion word problem: cookies
        • 🎥 Multiple units word problem: road trip
    • Equations, expressions, and inequalities
      • Intro to variables
        • 🎥 What is a variable?
        • 🎥 Why aren't we using the multiplication sign?
      • Substitution & evaluating expressions
        • 🎥 Evaluating an expression with one variable
        • 🎥 Evaluating expressions with two variables
        • 🎥 Evaluating expressions with two variables: fractions & decimals
      • Expression value intuition
        • 🎥 Expression value intuition
      • Constructing numeric expressions
        • 🎥 Constructing numerical expressions
        • 🎥 Evaluating expressions with & without parentheses
      • Evaluating expressions word problems
        • 🎥 Evaluating expressions with variables: temperature
        • 🎥 Evaluating expressions with variables: cubes
        • 🎥 Evaluating expressions with variables: exponents
      • Writing algebraic expressions introduction
        • 🎥 Writing basic expressions with variables
        • 🎥 Writing expressions with variables
        • 🎥 Writing expressions with variables & parentheses
      • Writing basic algebraic expressions word problems
        • 🎥 Writing basic expressions word problems
        • 🎥 Writing expressions word problems
      • Algebraic equations basics
        • 🎥 Variables, expressions, & equations
        • 🎥 Testing solutions to equations
      • One-step equations intuition
        • 🎥 Same thing to both sides of equations
        • 🎥 Representing a relationship with an equation
        • 🎥 Dividing both sides of an equation
        • 🎥 One-step equations intuition
      • One-step addition & subtraction equations
        • 🎥 One-step addition & subtraction equations
        • 🎥 One-step subtraction equations
        • 🎥 One-step addition & subtraction equations: fractions & decimals
      • One-step multiplication and division equations
        • 🎥 One-step division equations
        • 🎥 One-step multiplication equations
        • 🎥 One-step multiplication & division equations: fractions & decimals
      • One-step equation word problems
        • 🎥 Modeling with one-step equations
        • 🎥 One-step equations word problem: super yoga (1 of 2)
        • 🎥 One-step equations word problem: super yoga (2 of 2)
      • Inequalities: Greater than and less than basics
        • 🎥 Greater than and less than symbols
        • 🎥 Plotting inequalities
        • 🎥 Inequality word problems
        • 🎥 Inequality word problem: one variable
        • 🎥 Plotting an inequality example
      • Two-step equations intro
        • 🎥 Same thing to both sides of equations
        • 🎥 Intro to two-step equations
        • 🎥 Two-step equations intuition
        • 🎥 Worked example: two-step equations
      • Dependent and independent variables
        • 🎥 Dependent & independent variables
        • 🎥 Dependent & independent variables: graphing
        • 🎥 Dependent & independent variables: equation
    • Exponents, radicals, and scientific notation
      • Exponents
        • 🎥 Exponentiation warmup
        • 🎥 Intro to exponents
        • 🎥 The 0 & 1st power
        • 🎥 1 and -1 to different powers
        • 🎥 Powers of zero
      • Square roots
        • 🎥 Intro to square roots
        • 🎥 Understanding square roots
        • 🎥 Approximating square roots to hundredths
        • 🎥 Simplifying square roots
      • Cube roots
        • 🎥 Intro to cube roots
        • 🎥 Cube root of a non-perfect cube
        • 🎥 Simplifying a cube root
        • 🎥 Worked example: Cube root of a negative number
      • Exponent properties
        • 🎥 Exponent properties with products
        • 🎥 Exponent properties with parentheses
        • 🎥 Exponent properties with quotients
      • Negative exponents
        • 🎥 Negative exponents
        • 🎥 Negative exponent intuition
        • 🎥 Multiplying & dividing powers (integer exponents)
        • 🎥 Powers of products & quotients (integer exponents)
      • Scientific notation
        • 🎥 Introduction to scientific notation
        • 🎥 Scientific notation examples
        • 🎥 Scientific notation examples
        • 🎥 Scientific notation example: 0.0000000003457
      • Orders of magnitude
        • 🎥 Multiplying multiples of powers of 10
        • 🎥 Exponents and powers of 10 patterns
        • 🎥 Orders of magnitude exercise example 1
        • 🎥 Orders of magnitude exercise example 2
      • Computing with scientific notation
        • 🎥 Multiplying in scientific notation example
        • 🎥 Multiplying three numbers in scientific notation
        • 🎥 Multiplying & dividing in scientific notation
  • Algebra basics
    • Foundations
      • Negative numbers
        • 🎥 Number opposites
        • 🎥 Adding numbers with different signs
        • 🎥 Adding & subtracting negative numbers
        • 🎥 Subtracting a negative = adding a positive
        • 🎥 Multiplying positive & negative numbers
        • 🎥 Why a negative times a negative is a positive
        • 🎥 Why a negative times a negative makes sense
        • 🎥 Dividing positive and negative numbers
      • Absolute value
        • 🎥 Absolute value examples
        • 🎥 Absolute value and number lines
        • 🎥 Interpreting absolute value
      • Exponents
        • 🎥 Intro to exponents
        • 🎥 Exponent example 1
        • 🎥 Exponent example 2
        • 🎥 The 0 & 1st power
        • 🎥 Powers of zero
        • 🎥 1 and -1 to different powers
        • 🎥 Comparing exponent expressions
        • 🎥 Exponents of decimals
        • 🎥 Evaluating exponent expressions with variables
      • Square roots
        • 🎥 Intro to square roots
        • 🎥 Simplifying square roots
        • 🎥 Simplifying square roots of fractions
        • 🎥 Simplifying square-root expressions: no variables
      • Order of operations
        • 🎥 Intro to order of operations
        • 🎥 Order of operations examples: exponents
        • 🎥 Worked example: Order of operations (PEMDAS)
        • 🎥 Order of operations example
      • Fractions
        • 🎥 Adding fractions word problem: paint
        • 🎥 Adding fractions with different signs
        • 🎥 Multiplying positive and negative fractions
        • 🎥 Dividing negative fractions
      • Decimals, fractions and percentages
        • 🎥 Worked example: Converting a fraction (7/8) to a decimal
        • 🎥 Fraction to decimal with rounding
        • 🎥 Rewriting decimals as fractions: 0.36
        • 🎥 Converting decimals to fractions 2 (ex 1)
        • 🎥 Finding a percent
        • 🎥 Percent of a whole number
        • 🎥 Percent word problem: guavas
        • 🎥 Percent word problem: recycling cans
      • Operations with decimals
        • 🎥 Adding decimals: 9.087+15.31
        • 🎥 Adding decimals: 0.822+5.65
        • 🎥 Subtracting decimals: 9.57-8.09
        • 🎥 Subtracting decimals: 39.1 - 0.794
        • 🎥 Multiplying decimals example
        • 🎥 Multiplying challenging decimals
        • 🎥 Dividing decimals with hundredths
        • 🎥 Dividing by a multi-digit decimal
      • Area of triangles
        • 🎥 Area of a triangle
      • Circumference and area of circles
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Labeling parts of a circle
        • 🎥 Area of a circle
    • Algebraic expressions
      • Introduction to variables
        • 🎥 What is a variable?
        • 🎥 Why aren't we using the multiplication sign?
        • 🎥 Evaluating an expression with one variable
      • Substitution & evaluating expressions
        • 🎥 Evaluating expressions with two variables
      • Writing algebraic expressions
        • 🎥 Writing basic expressions with variables
        • 🎥 Writing expressions with variables
        • 🎥 Writing expressions with variables & parentheses
      • Combining like terms
        • 🎥 Intro to combining like terms
        • 🎥 Simplifying expressions
        • 🎥 Combining like terms challenge problem
        • 🎥 Simplifying expressions with rational numbers
      • Distributive property
        • 🎥 Distributive property with variables
      • Equivalent algebraic expressions
        • 🎥 Equivalent expressions
      • Nested fractions
        • 🎥 Nested fractions
    • Linear equations and inequalities
      • One-step equations
        • 🎥 One-step addition & subtraction equations
        • 🎥 One-step subtraction equations
        • 🎥 One-step division equations
        • 🎥 One-step multiplication equations
      • Two-steps equations
        • 🎥 Intro to two-step equations
        • 🎥 Two-step equations intuition
        • 🎥 Worked example: two-step equations
        • 🎥 Two-step equation word problem: computers
        • 🎥 Two-step equation word problem: garden
        • 🎥 Two-step equation word problem: oranges
      • Multi-step equations
        • 🎥 Why we do the same thing to both sides: Variable on both sides
        • 🎥 Intro to equations with variables on both sides
        • 🎥 Equations with variables on both sides: 20-7x=6x-6
        • 🎥 Equations with parentheses
      • One-step inequalities
        • 🎥 One-step inequalities examples
        • 🎥 One-step inequalities: -5c ≤ 15
        • 🎥 One-step inequality word problem
      • Two-step inequalities
        • 🎥 Two-step inequalities
        • 🎥 Two-step inequality word problem: apples
        • 🎥 Two-step inequality word problem: R&B
      • Multi-step inequalities
        • 🎥 Inequalities with variables on both sides
        • 🎥 Inequalities with variables on both sides (with parentheses)
        • 🎥 Multi-step inequalities
      • Writing & solving proportions
        • 🎥 Worked example: Solving proportions
        • 🎥 Solving hairy proportions
        • 🎥 Writing proportions example
        • 🎥 Proportion word problem: cookies
        • 🎥 Proportion word problem: hot dogs
    • Graphing lines and slope
      • Coordinate plane
        • 🎥 Quadrants of the coordinate plane
        • 🎥 Points and quadrants example
      • Solutions to two-variable linear equations
        • 🎥 Two-variable linear equations intro
        • 🎥 Solutions to 2-variable equations
        • 🎥 Worked example: solutions to 2-variable equations
        • 🎥 Completing solutions to 2-variable equations
      • x-intercepts and y-intercepts
        • 🎥 Intro to intercepts
        • 🎥 x-intercept of a line
        • 🎥 Intercepts from an equation
      • Slope
        • 🎥 Intro to slope
        • 🎥 Positive & negative slope
        • 🎥 Worked example: slope from graph
        • 🎥 Worked example: slope from two points
        • 🎥 Slope (more examples)
      • Horizontal & vertical lines
        • 🎥 Slope of a horizontal line
      • Slope-intercept form intro
        • 🎥 Intro to slope-intercept form
        • 🎥 Graph from slope-intercept equation
      • Writing slope-intercept equations
        • 🎥 Slope-intercept equation from graph
        • 🎥 Slope-intercept equation from slope & point
        • 🎥 Slope-intercept equation from two points
        • 🎥 Slope-intercept form problems
      • Graphing two-variable inequalities
        • 🎥 Intro to graphing two-variable inequalities
        • 🎥 Graphing two-variable inequalities
    • Systems of equations
      • Systems of equations overview
        • 🎥 Systems of equations: trolls, tolls (1 of 2)
        • 🎥 Systems of equations: trolls, tolls (2 of 2)
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with substitution: potato chips
        • 🎥 Systems of equations number of solutions: fruit prices (1 of 2)
        • 🎥 Systems of equations number of solutions: fruit prices (2 of 2)
      • Systems of equations intro
        • 🎥 Systems of equations: trolls, tolls (1 of 2)
        • 🎥 Systems of equations: trolls, tolls (2 of 2)
        • 🎥 Testing a solution to a system of equations
        • 🎥 Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
        • 🎥 Systems of equations with graphing: exact & approximate solutions
      • Elimination method for systems of equations
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: x-4y=-18 & -x+3y=11
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with elimination (and manipulation)
        • 🎥 Why can we subtract one equation from the other in a system of equations?
      • Substitution method for systems of equations
        • 🎥 Systems of equations with substitution: potato chips
        • 🎥 Systems of equations with substitution: -3x-4y=-2 & y=2x-5
      • Number of solutions to systems of equations
        • 🎥 Systems of equations number of solutions: fruit prices (1 of 2)
        • 🎥 Systems of equations number of solutions: fruit prices (2 of 2)
        • 🎥 Solutions to systems of equations: consistent vs. inconsistent
        • 🎥 Solutions to systems of equations: dependent vs. independent
        • 🎥 Number of solutions to a system of equations
        • 🎥 Number of solutions to a system of equations graphically
        • 🎥 Number of solutions to a system of equations algebraically
        • 🎥 How many solutions does a system of linear equations have if there are at least two?
      • Solving any system of linear equations
    • Expressions with exponents
      • Exponent properties intro
        • 🎥 Exponent properties with products
        • 🎥 Exponent properties with parentheses
        • 🎥 Exponent properties with quotients
      • Negative exponents
        • 🎥 Negative exponents
        • 🎥 Negative exponent intuition
      • Exponent properties (integer exponents)
        • 🎥 Multiplying & dividing powers (integer exponents)
        • 🎥 Powers of products & quotients (integer exponents)
        • 🎥 Powers of zero
      • Scientific notation intro
        • 🎥 Scientific notation examples
        • 🎥 Scientific notation example: 0.0000000003457
        • 🎥 Multiplying in scientific notation example
        • 🎥 Multiplying & dividing in scientific notation
        • 🎥 Multiplying three numbers in scientific notation
      • Scientific notation word problems
        • 🎥 Scientific notation word problem: red blood cells
        • 🎥 Scientific notation word problem: U.S. national debt
        • 🎥 Scientific notation word problem: speed of light
    • Quadratics and polynomials
      • Adding & subtracting polynomials
        • 🎥 Adding polynomials
        • 🎥 Subtracting polynomials
      • Multiplying binomials
        • 🎥 Multiplying monomials by polynomials
        • 🎥 Multiplying binomials: area model
        • 🎥 Multiplying binomials intro
        • 🎥 Multiplying binomials
      • Special products of binomials
        • 🎥 Special products of the form (x+a)(x-a)
        • 🎥 Squaring binomials of the form (x+a)²
      • Factoring polynomials by taking common factors
        • 🎥 Factoring with the distributive property
        • 🎥 Factoring binomials: common factor
        • 🎥 Factoring polynomials: common factor
        • 🎥 Factoring polynomials: common factor area model
        • 🎥 Factoring polynomials: common binomial factor
      • Factoring quadratics 1
        • 🎥 Factoring quadratics as (x+a)(x+b)
        • 🎥 Factoring quadratics as (x+a)(x+b) (example 2)
        • 🎥 More examples of factoring quadratics as (x+a)(x+b)
      • Factoring quadratics 2
        • 🎥 Intro to grouping
        • 🎥 Factoring quadratics by grouping
      • Factoring quadratics: Difference of squares
        • 🎥 Factoring difference of squares: leading coefficient ≠ 1
        • 🎥 Factoring difference of squares: analyzing factorization
        • 🎥 Factoring difference of squares: missing values
        • 🎥 Factoring difference of squares: shared factors
      • Factoring quadratics: Perfect squares
        • 🎥 Factoring perfect squares
        • 🎥 Identifying perfect square form
        • 🎥 Factoring perfect squares: common factor
        • 🎥 Factoring perfect squares: negative common factor
        • 🎥 Factoring perfect squares: missing values
        • 🎥 Factoring perfect squares: shared factors
      • Solving quadratic equations by factoring
        • 🎥 Solving quadratics by factoring
        • 🎥 Solving quadratics by factoring: leading coefficient ≠ 1
    • Equations and geometry
      • Triangle angles
        • 🎥 Angles in a triangle sum to 180° proof
      • Pythagorean theorem
        • 🎥 Intro to the Pythagorean theorem
        • 🎥 Intro to the Pythagorean theorem 2
        • 🎥 Pythagorean theorem example
        • 🎥 Thiago asks: How much time does a goalkeeper have to react to a penalty kick?
      • Triangle similarity intro
        • 🎥 Intro to triangle similarity
        • 🎥 Triangle similarity postulates/criteria
        • 🎥 Determining similar triangles
      • Solving similar triangles
        • 🎥 Solving similar triangles
        • 🎥 Solving similar triangles: same side plays different roles
  • Algebra I
    • Algebra foundations
      • Overview and history of algebra
        • 🎥 Origins of algebra
        • 🎥 Abstract-ness
        • 🎥 The beauty of algebra
        • 🎥 Intro to the coordinate plane
        • 🎥 Why all the letters in algebra?
      • Introduction to variables
        • 🎥 What is a variable?
        • 🎥 Why aren't we using the multiplication sign?
        • 🎥 Evaluating an expression with one variable
      • Substitution and evaluating expressions
        • 🎥 Evaluating expressions with two variables
        • 🎥 Evaluating expressions with two variables: fractions & decimals
      • Evaluating expressions word problems
        • 🎥 Evaluating expressions with variables: temperature
        • 🎥 Evaluating expressions with variables: cubes
        • 🎥 Evaluating expressions with variables: exponents
      • Writing algebraic expressions introduction
        • 🎥 Writing basic expressions with variables
        • 🎥 Writing expressions with variables
        • 🎥 Writing expressions with variables & parentheses
      • Dependent & independent variables
        • 🎥 Dependent & independent variables
        • 🎥 Dependent & independent variables: graphing
        • 🎥 Dependent & independent variables: equation
      • Combining like terms
        • 🎥 Intro to combining like terms
        • 🎥 Simplifying expressions
        • 🎥 Combining like terms challenge problem
        • 🎥 Simplifying expressions with rational numbers
      • Introduction to equivalent algebraic expressions
        • 🎥 Equivalent expressions
      • Interpreting linear expressions
        • 🎥 Interpreting linear expressions: diamonds
        • 🎥 Interpreting linear expressions: flowers
      • Division by zero
        • 🎥 Why dividing by zero is undefined
        • 🎥 The problem with dividing zero by zero
        • 🎥 Undefined & indeterminate expressions
    • Solving equations
      • Algebraic equations basics
        • 🎥 Variables, expressions, & equations
        • 🎥 Testing solutions to equations
      • Why we do the same thing to both sides of an equation
        • 🎥 Same thing to both sides of equations
        • 🎥 Representing a relationship with an equation
        • 🎥 Dividing both sides of an equation
        • 🎥 One-step equations intuition
      • One-step addition & subtraction equations
        • 🎥 One-step addition & subtraction equations
        • 🎥 One-step subtraction equations
        • 🎥 One-step addition & subtraction equations: fractions & decimals
      • One-step multiplication & division equations
        • 🎥 One-step division equations
        • 🎥 One-step multiplication equations
        • 🎥 One-step multiplication & division equations: fractions & decimals
      • Two-steps equations intro
        • 🎥 Intro to two-step equations
        • 🎥 Two-step equations intuition
        • 🎥 Worked example: two-step equations
      • Two-step equation word problems
        • 🎥 Two-step equation word problem: computers
        • 🎥 Two-step equation word problem: garden
        • 🎥 Two-step equation word problem: oranges
      • Linear equations with variables on both sides
        • 🎥 Why we do the same thing to both sides: Variable on both sides
        • 🎥 Intro to equations with variables on both sides
        • 🎥 Equations with variables on both sides: 20-7x=6x-6
        • 🎥 Equation with variables on both sides: fractions
        • 🎥 Equation with the variable in the denominator
      • Linear equations with parentheses
        • 🎥 Equations with parentheses
      • Analyzing the number of solutions to linear equations
        • 🎥 Number of solutions to equations
        • 🎥 Worked example: number of solutions to equations
        • 🎥 Creating an equation with no solutions
        • 🎥 Creating an equation with infinitely many solutions
      • Linear equations word problems
        • 🎥 Sums of consecutive integers
        • 🎥 Sum of integers challenge
        • 🎥 Linear equation word problem: saline
        • 🎥 Linear equation word problem: sugary drinks
      • Linear equations with unknown coefficients
        • 🎥 Linear equations with unknown coefficients
    • Solving inequalities
      • Introduction to inequalities with variables
        • 🎥 Testing solutions to inequalities
        • 🎥 Plotting inequalities
        • 🎥 Plotting an inequality example
        • 🎥 Inequalities word problems
      • One-step inequalities
        • 🎥 One-step inequalities examples
        • 🎥 One-step inequalities: -5c ≤ 15
        • 🎥 One-step inequality word problem
      • Two-step inequalities
        • 🎥 Two-step inequalities
        • 🎥 Two-step inequality word problem: apples
        • 🎥 Two-step inequality word problem: R&B
      • Multi-step inequalities
        • 🎥 Inequalities with variables on both sides
        • 🎥 Inequalities with variables on both sides (with parentheses)
        • 🎥 Multi-step inequalities
      • Compound inequalities
        • 🎥 Compound inequalities: OR
        • 🎥 Compound inequalities: AND
        • 🎥 A compound inequality with no solution
        • 🎥 Double inequalities
        • 🎥 Compound inequalities examples
    • Working with units
      • Rate conversion
        • 🎥 Intro to dimensional analysis
        • 🎥 Same rate with different units
      • Appropriate units
        • 🎥 Appropriate units
        • 🎥 Interpreting units in formulas
        • 🎥 Interpreting units in formulas: novel units
      • Word problems with multiple units
        • 🎥 Worked example: Rate problem
        • 🎥 Multiple units word problem: road trip
        • 🎥 Measurement word problem: running laps
        • 🎥 Multiple units word problem: drug dosage (advanced)
    • Linear equations & graphs
      • Two-variable linear equations intro
        • 🎥 Two-variable linear equations intro
        • 🎥 Solutions to 2-variable equations
        • 🎥 Worked example: solutions to 2-variable equations
        • 🎥 Completing solutions to 2-variable equations
      • x-intercepts and y-intercepts
        • 🎥 Intro to intercepts
        • 🎥 x-intercept of a line
        • 🎥 Intercepts from an equation
        • 🎥 Intercepts from a table
      • Slope
        • 🎥 Intro to slope
        • 🎥 Positive & negative slope
        • 🎥 Worked example: slope from graph
        • 🎥 Worked example: slope from two points
        • 🎥 Slope (more examples)
      • Horizontal & vertical lines
        • 🎥 Slope of a horizontal line
        • 🎥 Horizontal & vertical lines
      • Intro to slope-intercept form
        • 🎥 Intro to slope-intercept form
        • 🎥 Worked examples: slope-intercept intro
      • Graphing slope-intercept equations
        • 🎥 Graph from slope-intercept equation
      • Writing slope-intercept equations
        • 🎥 Slope-intercept equation from graph
        • 🎥 Slope-intercept equation from slope & point
        • 🎥 Slope-intercept equation from two points
        • 🎥 Slope-intercept form problems
      • Point-slope form
        • 🎥 Intro to point-slope form
        • 🎥 Point-slope & slope-intercept equations
      • Standard form
        • 🎥 Intro to linear equation standard form
        • 🎥 Graphing a linear equation: 5x+2y=20
        • 🎥 Converting from slope-intercept to standard form
      • Summary: Forms of two-variable linear equations
        • 🎥 Slope from equation
        • 🎥 Writing linear equations in all forms
    • Functions
      • Evaluating functions
        • 🎥 What is a function?
        • 🎥 Worked example: Evaluating functions from equation
        • 🎥 Worked example: evaluating functions from graph
        • 🎥 Worked example: evaluating expressions with function notation
      • Inputs and outputs of a function
        • 🎥 Worked example: matching an input to a function's output (equation)
        • 🎥 Worked example: matching an input to a function's output (graph)
        • 🎥 Worked example: two inputs with the same output (graph)
      • Functions and equations
        • 🎥 Equations vs. functions
        • 🎥 Obtaining a function from an equation
      • Interpreting function notation
        • 🎥 Function notation word problem: bank
        • 🎥 Function notation word problem: beach
      • Introduction to the domain and range of a function
        • 🎥 Intervals and interval notation
        • 🎥 What is the domain of a function?
        • 🎥 What is the range of a function?
        • 🎥 Worked example: domain and range from graph
      • Determining the domain of a function
        • 🎥 Domain of a radical function
        • 🎥 Worked example: domain of algebraic functions
        • 🎥 Worked example: determining domain word problem (real numbers)
        • 🎥 Worked example: determining domain word problem (positive integers)
        • 🎥 Worked example: determining domain word problem (all integers)
      • Recognizing functions
        • 🎥 Recognizing functions from graph
        • 🎥 Does a vertical line represent a function?
        • 🎥 Recognizing functions from table
        • 🎥 Recognizing functions from verbal description
        • 🎥 Recognizing functions from verbal description word problem
      • Maximum and minimum points
        • 🎥 Introduction to minimum and maximum points
        • 🎥 Worked example: relative maxima and minima
      • Intervals where a function is positive, negative, increasing, or decreasing
        • 🎥 Increasing, decreasing, positive or negative intervals
        • 🎥 Worked example: positive & negative intervals
      • Interpreting features of graphs
        • 🎥 Graph interpretation word problem: temperature
        • 🎥 Graph interpretation word problem: basketball
      • Average rate of change
        • 🎥 Introduction to average rate of change
        • 🎥 Worked example: average rate of change from graph
        • 🎥 Worked example: average rate of change from table
        • 🎥 Worked example: average rate of change from equation
      • Average rate of change word problems
        • 🎥 Average rate of change word problem: table
        • 🎥 Average rate of change word problem: graph
        • 🎥 Average rate of change word problem: equation
      • Unit review
    • Linear word problems
      • Interpreting linear functions and equations
        • 🎥 Linear equations word problems: earnings
        • 🎥 Linear equations word problems: volcano
        • 🎥 Linear graphs word problems
        • 🎥 Linear graphs word problem: cats
        • 🎥 Linear equations word problem: marbles
        • 🎥 Linear equations word problem: file transfer
      • Comparing linear functions
        • 🎥 Comparing linear functions: equation vs. graph
        • 🎥 Comparing linear functions: table vs. graph
        • 🎥 Comparing linear functions: table vs. graph
        • 🎥 Comparing linear functions word problem: climb
        • 🎥 Comparing linear functions word problem: walk
        • 🎥 Comparing linear functions word problem: work
      • Constructing linear models for real-world relationships
        • 🎥 Linear functions word problem: fuel
        • 🎥 Linear functions word problem: pool
        • 🎥 Linear functions word problem: iceberg
        • 🎥 Linear functions word problem: paint
      • Linear models word problems
        • 🎥 Linear models word problem: book
        • 🎥 Linear models word problem: marbles
    • Sequences
      • Introduction to arithmetic sequences
        • 🎥 Sequences intro
        • 🎥 Intro to arithmetic sequences
        • 🎥 Extending arithmetic sequences
        • 🎥 Using arithmetic sequences formulas
        • 🎥 Worked example: using recursive formula for arithmetic sequence
      • Constructing arithmetic sequences
        • 🎥 Recursive formulas for arithmetic sequences
        • 🎥 Explicit formulas for arithmetic sequences
        • 🎥 Arithmetic sequence problem
        • 🎥 Converting recursive & explicit forms of arithmetic sequences
      • Introduction to geometric sequences
        • 🎥 Intro to geometric sequences
        • 🎥 Extending geometric sequences
        • 🎥 Using explicit formulas of geometric sequences
        • 🎥 Using recursive formulas of geometric sequences
      • Constructing geometric sequences
        • 🎥 Explicit & recursive formulas for geometric sequences
        • 🎥 Converting recursive & explicit forms of geometric sequences
      • Modeling with sequences
        • 🎥 Sequences word problems
      • General sequences
        • 🎥 Evaluating sequences in recursive form
    • Systems of equations
      • Systems of equations overview
        • 🎥 Systems of equations: trolls, tolls (1 of 2)
        • 🎥 Systems of equations: trolls, tolls (2 of 2)
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with substitution: potato chips
        • 🎥 Systems of equations number of solutions: fruit prices (1 of 2)
        • 🎥 Systems of equations number of solutions: fruit prices (2 of 2)
      • Introduction to systems of equations
        • 🎥 Systems of equations: trolls, tolls (1 of 2)
        • 🎥 Systems of equations: trolls, tolls (2 of 2)
        • 🎥 Testing a solution to a system of equations
        • 🎥 Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
        • 🎥 Systems of equations with graphing: exact & approximate solutions
      • Equivalent systems of equations and the elimination method
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: x-4y=-18 & -x+3y=11
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with elimination (and manipulation)
        • 🎥 Why can we subtract one equation from the other in a system of equations?
        • 🎥 Worked example: equivalent systems of equations
        • 🎥 Worked example: non-equivalent systems of equations
      • Solving systems of equations with substitution
        • 🎥 Systems of equations with substitution: potato chips
        • 🎥 Systems of equations with substitution: -3x-4y=-2 & y=2x-5
      • Manipulating expressions with unknown variables
        • 🎥 Manipulating expressions using structure
        • 🎥 Manipulating expressions using structure (example 2)
      • Number of solutions to systems of equations
        • 🎥 Systems of equations number of solutions: fruit prices (1 of 2)
        • 🎥 Systems of equations number of solutions: fruit prices (2 of 2)
        • 🎥 Solutions to systems of equations: consistent vs. inconsistent
        • 🎥 Solutions to systems of equations: dependent vs. independent
        • 🎥 Number of solutions to a system of equations
        • 🎥 Number of solutions to a system of equations graphically
        • 🎥 Number of solutions to a system of equations algebraically
        • 🎥 How many solutions does a system of linear equations have if there are at least two?
      • Solving any system of linear equations
      • Systems of equations word problems
        • 🎥 Age word problem: Imran
        • 🎥 Age word problem: Ben & William
        • 🎥 Age word problem: Arman & Diya
        • 🎥 System of equations word problem: walk & ride
        • 🎥 System of equations word problem: no solution
        • 🎥 System of equations word problem: infinite solutions
        • 🎥 Systems of equations with elimination: TV & DVD
        • 🎥 Systems of equations with elimination: apples and oranges
        • 🎥 Systems of equations with substitution: coins
        • 🎥 Systems of equations with elimination: coffee and croissants
    • Inequalities (systems & graphs)
      • Checking solutions of two-variable inequalities
        • 🎥 Testing solutions to inequalities
        • 🎥 Testing solutions to systems of inequalities
      • Graphing two-variable inequalities
        • 🎥 Intro to graphing two-variable inequalities
        • 🎥 Graphing two-variable inequalities
        • 🎥 Two-variable inequalities from their graphs
        • 🎥 Intro to graphing systems of inequalities
        • 🎥 Graphing systems of inequalities
      • Modeling with linear inequalities
        • 🎥 Writing two-variable inequalities word problem
        • 🎥 Solving two-variable inequalities word problem
        • 🎥 Graphs of two-variable inequalities word problem
        • 🎥 Interpreting two-variable inequalities word problem
        • 🎥 Modeling with systems of inequalities
        • 🎥 Writing systems of inequalities word problem
        • 🎥 Solving systems of inequalities word problem
        • 🎥 Graphs of systems of inequalities word problem
        • 🎥 Analyzing structure with linear inequalities: fruits
        • 🎥 Analyzing structure with linear inequalities: balls
    • Absolute value & piecewise functions
      • Graphs of absolute value functions
        • 🎥 Shifting absolute value graphs
        • 🎥 Scaling & reflecting absolute value functions: equation
        • 🎥 Scaling & reflecting absolute value functions: graph
        • 🎥 Graphing absolute value functions
      • Piecewise functions
        • 🎥 Introduction to piecewise functions
        • 🎥 Worked example: evaluating piecewise functions
        • 🎥 Worked example: graphing piecewise functions
        • 🎥 Worked example: domain & range of step function
        • 🎥 Worked example: domain & range of piecewise linear functions
    • Rational exponents & radicals
      • Exponent properties review
        • 🎥 Multiplying & dividing powers (integer exponents)
        • 🎥 Powers of products & quotients (integer exponents)
      • Radicals
        • 🎥 Intro to square roots
        • 🎥 Understanding square roots
        • 🎥 Intro to cube roots
        • 🎥 Square root of decimal
        • 🎥 5th roots
      • Rational exponents intro
        • 🎥 Intro to rational exponents
        • 🎥 Rewriting roots as rational exponents
        • 🎥 Exponential equation with rational answer
      • Properties of exponents (rational exponents)
        • 🎥 Simplifying quotient of powers (rational exponents)
        • 🎥 Simplifying mixed radical and exponential expressions
      • Advanced exponent & radical evaluation
        • 🎥 Evaluating fractional exponents
        • 🎥 Evaluating fractional exponents: negative unit-fraction
        • 🎥 Evaluating fractional exponents: fractional base
        • 🎥 Evaluating quotient of fractional exponents
        • 🎥 Evaluating mixed radicals and exponents
      • Simplifying square roots
        • 🎥 Simplifying square roots
        • 🎥 Simplifying square roots (variables)
        • 🎥 Simplifying square-root expressions
      • Simplifying radicals (higher-index roots)
        • 🎥 Simplifying higher-index roots
        • 🎥 Simplifying cube root expressions
        • 🎥 Simplifying cube root expressions (two variables)
        • 🎥 Simplifying higher-index root expressions
    • Exponential growth & decay
      • Exponential vs. linear growth
        • 🎥 Intro to exponential functions
        • 🎥 Exponential vs. linear growth
        • 🎥 Exponential vs. linear models: verbal
        • 🎥 Exponential vs. linear models: table
      • Exponential expressions
        • 🎥 Exponential expressions word problems (numerical)
        • 🎥 Initial value & common ratio of exponential functions
        • 🎥 Exponential expressions word problems (algebraic)
        • 🎥 Interpreting exponential expression word problem
      • Graphs of exponential growth
        • 🎥 Exponential function graph
        • 🎥 Graphs of exponential growth
      • Exponential vs. linear growth over time
        • 🎥 Exponential vs. linear growth over time
      • Exponential decay
        • 🎥 Exponential decay intro
        • 🎥 Graphing exponential growth & decay
        • 🎥 Exponential growth & decay word problems
      • Exponential functions from tables & graphs
        • 🎥 Writing exponential functions
        • 🎥 Writing exponential functions from tables
        • 🎥 Writing exponential functions from graphs
        • 🎥 Analyzing tables of exponential functions
        • 🎥 Analyzing graphs of exponential functions
        • 🎥 Analyzing graphs of exponential functions: negative initial value
        • 🎥 Modeling with basic exponential functions word problem
    • Polynomials
      • Intro to polynomials
        • 🎥 Polynomials intro
        • 🎥 The parts of polynomial expressions
        • 🎥 Evaluating polynomials
        • 🎥 Simplifying polynomials
      • Adding & subtracting polynomials
        • 🎥 Adding polynomials
        • 🎥 Subtracting polynomials
        • 🎥 Polynomial subtraction & set closure
        • 🎥 Adding & subtracting multiple polynomials
      • Adding and subtracting polynomials: two variables
        • 🎥 Adding polynomials: two variables
        • 🎥 Subtracting polynomials: two variables
        • 🎥 Subtracting polynomials: two variables challenge
        • 🎥 Finding an error in polynomial subtraction
        • 🎥 Polynomials review
      • Multiplying monomials
        • 🎥 Multiplying monomials
        • 🎥 Multiplying monomials to find area: two variables
        • 🎥 Multiplying monomials to find area
        • 🎥 Multiplying monomials challenge
      • Multiplying monomials by polynomials
        • 🎥 Multiplying monomials by polynomials: area model
        • 🎥 Multiplying monomials by polynomials
        • 🎥 Multiplying monomials by polynomials challenge
      • Multiplying binomials
        • 🎥 Multiplying binomials: area model
        • 🎥 Multiplying binomials intro
        • 🎥 Multiplying binomials
      • Multiplying binomials by polynomials
        • 🎥 Multiplying binomials by polynomials
        • 🎥 Multiplying binomials by polynomials: area model
        • 🎥 Multiplying binomials by polynomials challenge
      • Special products of binomials
        • 🎥 Special products of the form (x+a)(x-a)
        • 🎥 Squaring binomials of the form (x+a)²
        • 🎥 Special products of the form (ax+b)(ax-b)
        • 🎥 Squaring binomials of the form (ax+b)²
        • 🎥 Special products of binomials: two variables
        • 🎥 More examples of special products
      • Polynomials word problems
        • 🎥 Polynomial multiplication word problem
        • 🎥 Polynomial word problem: rectangle and circle area
        • 🎥 Polynomial word problem: total value of bills
        • 🎥 Polynomial word problem: area of a window
    • Factorization
      • Introduction to factorization
        • 🎥 Intro to factors & divisibility
      • Factoring monomials
        • 🎥 Monomial factorization
        • 🎥 Worked example: finding the missing monomial factor
        • 🎥 Worked example: finding missing monomial side in area model
        • 🎥 Greatest common factor of monomials
      • Factoring polynomials by taking common factors
        • 🎥 Factoring with the distributive property
        • 🎥 Factoring binomials: common factor
        • 🎥 Factoring polynomials: common factor
        • 🎥 Factoring polynomials: common factor area model
        • 🎥 Factoring polynomials: common binomial factor
      • Evaluating expressions with unknown variables
        • 🎥 Worked example: evaluating expressions using structure
        • 🎥 Worked example: evaluating expressions using structure (more examples)
      • Factoring quadratics intro
        • 🎥 Factoring quadratics as (x+a)(x+b)
        • 🎥 Factoring quadratics as (x+a)(x+b) (example 2)
        • 🎥 More examples of factoring quadratics as (x+a)(x+b)
      • Factoring quadratics by grouping
        • 🎥 Intro to grouping
        • 🎥 Factoring quadratics by grouping
      • Factoring polynomials with quadratic forms
        • 🎥 Factoring quadratics: common factor + grouping
        • 🎥 Factoring quadratics: negative common factor + grouping
        • 🎥 Factoring two-variable quadratics
        • 🎥 Factoring two-variable quadratics: rearranging
        • 🎥 Factoring two-variable quadratics: grouping
      • Factoring quadratics: Difference of squares
        • 🎥 Difference of squares intro
        • 🎥 Factoring difference of squares: leading coefficient ≠ 1
        • 🎥 Factoring difference of squares: analyzing factorization
        • 🎥 Factoring difference of squares: missing values
        • 🎥 Factoring difference of squares: shared factors
      • Factoring quadratics: Perfect squares
        • 🎥 Perfect square factorization intro
        • 🎥 Factoring perfect squares
        • 🎥 Identifying perfect square form
        • 🎥 Factoring perfect squares: common factor
        • 🎥 Factoring perfect squares: negative common factor
        • 🎥 Factoring perfect squares: missing values
        • 🎥 Factoring perfect squares: shared factors
      • Strategy in factoring quadratics
        • 🎥 Strategy in factoring quadratics (part 1 of 2)
        • 🎥 Strategy in factoring quadratics (part 2 of 2)
      • Factoring polynomials with special product forms
        • 🎥 Factoring perfect squares: 4th degree polynomial
        • 🎥 Factoring difference of squares: two variables
        • 🎥 Factoring difference of squares: two variables (example 2)
    • Quadratics
      • Parabolas intro
        • 🎥 Parabolas intro
      • Quadratic factored form
        • 🎥 Zero product property
        • 🎥 Graphing quadratics in factored form
        • 🎥 Quadratic word problems (factored form)
      • Solving quadratics by taking square roots
        • 🎥 Solving quadratics by taking square roots
        • 🎥 Solving quadratics by taking square roots examples
        • 🎥 Solving quadratics by taking square roots: strategy
        • 🎥 Quadratics by taking square roots: with steps
      • Quadratic vertex form
        • 🎥 Vertex form introduction
        • 🎥 Graphing quadratics: vertex form
        • 🎥 Quadratic word problems (vertex form)
      • Solving quadratics by factoring
        • 🎥 Solving quadratics by factoring
        • 🎥 Solving quadratics by factoring: leading coefficient ≠ 1
        • 🎥 Solving quadratics using structure
        • 🎥 Quadratic equations word problem: triangle dimensions
        • 🎥 Quadratic equations word problem: box dimensions
      • Completing the square
        • 🎥 Completing the square
        • 🎥 Worked example: Completing the square (intro)
        • 🎥 Worked example: Rewriting expressions by completing the square
        • 🎥 Worked example: Solving equations by completing the square
        • 🎥 Worked example: completing the square (leading coefficient ≠ 1)
        • 🎥 Solving quadratics by completing the square: no solution
      • The quadratic formula
        • 🎥 The quadratic formula
        • 🎥 Using the quadratic formula
        • 🎥 Worked example: quadratic formula
        • 🎥 Worked example: quadratic formula (example 2)
        • 🎥 Worked example: quadratic formula (negative coefficients)
        • 🎥 Using the quadratic formula: number of solutions
        • 🎥 Proof of the quadratic formula
      • Quadratic standard form
        • 🎥 Finding the vertex of a parabola in standard form
        • 🎥 Graphing quadratics: standard form
        • 🎥 Quadratic word problem: ball
      • Features & forms of quadratic functions
        • 🎥 Forms & features of quadratic functions
        • 🎥 Worked examples: Forms & features of quadratic functions
        • 🎥 Vertex & axis of symmetry of a parabola
        • 🎥 Finding features of quadratic functions
        • 🎥 Comparing features of quadratic functions
        • 🎥 Comparing maximum points of quadratic functions
      • Transforming parabolas
        • 🎥 Intro to parabola transformations
        • 🎥 Shifting parabolas
        • 🎥 Scaling & reflecting parabolas
      • Unit review
    • Irrational numbers
      • Irrational numbers
        • 🎥 Intro to rational & irrational numbers
        • 🎥 Classifying numbers: rational & irrational
      • Sums and products of rational and irrational numbers
        • 🎥 Proof: sum & product of two rationals is rational
        • 🎥 Proof: product of rational & irrational is irrational
        • 🎥 Proof: sum of rational & irrational is irrational
        • 🎥 Sums and products of irrational numbers
        • 🎥 Worked example: rational vs. irrational expressions
        • 🎥 Worked example: rational vs. irrational expressions (unknowns)
      • Proofs concerning irrational numbers
        • 🎥 Proof: √2 is irrational
        • 🎥 Proof: square roots of prime numbers are irrational
        • 🎥 Proof: there's an irrational number between any two rational numbers
  • Algebra II
    • Functions
      • Combining functions
        • 🎥 Adding functions
        • 🎥 Subtracting functions
        • 🎥 Multiplying functions
        • 🎥 Dividing functions
      • Composing functions
        • 🎥 Intro to composing functions
        • 🎥 Evaluating composite functions
        • 🎥 Evaluating composite functions: using tables
        • 🎥 Evaluating composite functions: using graphs
        • 🎥 Finding composite functions
        • 🎥 Evaluating composite functions (advanced)
      • Modeling situations by combining and composing functions
        • 🎥 Modeling with function combination
        • 🎥 Modeling with composite functions
        • 🎥 Modeling with composite functions (example 2)
      • Shifting functions
        • 🎥 Shifting functions
        • 🎥 Graphing shifted functions
      • Stretching functions
        • 🎥 Shifting & reflecting functions
        • 🎥 Compressing functions
        • 🎥 Reflecting & compressing functions
      • Introduction to inverses of functions
        • 🎥 Intro to inverse functions
        • 🎥 Inputs & outputs of inverse functions
        • 🎥 Graphing the inverse of a linear function
      • Finding inverse functions
        • 🎥 Finding inverse functions: linear
        • 🎥 Finding inverse functions: quadratic
        • 🎥 Finding inverse functions: quadratic (example 2)
        • 🎥 Finding inverse functions: radical
        • 🎥 Finding inverse functions: rational
      • Verifying that functions are inverses
        • 🎥 Verifying inverse functions by composition
        • 🎥 Verifying inverse functions by composition: not inverse
      • Determining whether a function is invertible
        • 🎥 Determining if a function is invertible
        • 🎥 Restricting domains of functions to make them invertible
    • Complex numbers
      • What are the imaginary numbers?
        • 🎥 Intro to the imaginary numbers
        • 🎥 Simplifying roots of negative numbers
        • 🎥 Powers of the imaginary unit
        • 🎥 i as the principal root of -1
      • What are the complex numbers?
        • 🎥 Intro to complex numbers
      • The complex plane
        • 🎥 Plotting numbers on the complex plane
      • Adding and subtracting complex numbers
        • 🎥 Adding complex numbers
        • 🎥 Subtracting complex numbers
      • Multiplying complex numbers
        • 🎥 Multiplying complex numbers
    • Arithmetic with polynomials
      • Adding and subtracting polynomials
        • 🎥 Adding & subtracting multiple polynomials
        • 🎥 Subtracting polynomials: two variables
      • Multiplying polynomials
        • 🎥 Multiplying binomials by polynomials
        • 🎥 More examples of special products
      • Long division of polynomials
        • 🎥 Intro to long division of polynomials
        • 🎥 Dividing polynomials: long division
      • Synthetic division of polynomials
        • 🎥 Intro to polynomial synthetic division
        • 🎥 Dividing polynomials: synthetic division
        • 🎥 Why synthetic division works
      • Practice dividing polynomials with remainders
        • 🎥 Dividing polynomials with remainders: monomial divisors
        • 🎥 Dividing polynomials with remainders: monomial divisors (example 2)
        • 🎥 Dividing polynomials with remainders
      • Polynomial Remainder Theorem
        • 🎥 Intro to the Polynomial Remainder Theorem
        • 🎥 Using the Polynomial Remainder Theorem: finding remainders
        • 🎥 Using the Polynomial Remainder Theorem: checking factors
        • 🎥 Using the Polynomial Remainder Theorem: finding coefficients
        • 🎥 Proof of the Polynomial Remainder Theorem
    • Polynomials
      • The binomial theorem
        • 🎥 Intro to the Binomial Theorem
        • 🎥 Pascal's triangle and binomial expansion
        • 🎥 Expanding binomials
        • 🎥 Expanding binomials w/o Pascal's triangle
      • Understanding the binomial theorem
        • 🎥 Binomial expansion & combinatorics
        • 🎥 Pascal's triangle & combinatorics
        • 🎥 Binomial expansion & combinatorics (old)
      • Factoring polynomials - Quadratic forms
        • 🎥 Factoring quadratics as (x+a)(x+b) (example 2)
        • 🎥 More examples of factoring quadratics as (x+a)(x+b)
        • 🎥 Intro to grouping
        • 🎥 Factoring quadratics by grouping
        • 🎥 Factoring quadratics: common factor + grouping
        • 🎥 Factoring quadratics: negative common factor + grouping
        • 🎥 Factoring two-variable quadratics
        • 🎥 Factoring two-variable quadratics: rearranging
        • 🎥 Factoring two-variable quadratics: grouping
      • Factoring polynomials - Special product forms
        • 🎥 Factoring difference of squares: two variables
        • 🎥 Factoring difference of squares: leading coefficient ≠ 1
        • 🎥 Factoring perfect squares: negative common factor
        • 🎥 Factoring perfect squares
        • 🎥 Factoring perfect squares: 4th degree polynomial
        • 🎥 Factoring difference of squares: two variables (example 2)
      • Advanced polynomial factorization methods
        • 🎥 Factoring higher-degree polynomials
        • 🎥 Factoring sum of cubes
        • 🎥 Factoring difference of cubes
      • Proving polynomial identities
        • 🎥 Analyzing polynomial identities
      • Polynomial identities with complex numbers
        • 🎥 Complex numbers & sum of squares factorization
        • 🎥 Factoring sum of squares
      • Quadratic equations with complex numbers
        • 🎥 Solving quadratic equations: complex roots
      • The Fundamental Theorem of Algebra
        • 🎥 The Fundamental theorem of Algebra
        • 🎥 Quadratics & the Fundamental Theorem of Algebra
        • 🎥 Number of possible real roots of a polynomial
      • Finding zeros of polynomials
        • 🎥 Finding zeros of polynomials (1 of 2)
        • 🎥 Finding zeros of polynomials (2 of 2)
        • 🎥 Finding zeros of polynomials (example 2)
      • Zeros of polynomials and their graphs
        • 🎥 Zeros of polynomials & their graphs
      • End behavior of polynomial functions
        • 🎥 Intro to end behavior of polynomials
        • 🎥 End behavior of functions & their graphs
      • Graphs of polynomials
      • Introduction to symmetry of functions
        • 🎥 Intro to function symmetry
        • 🎥 Graphical symmetry of functions
        • 🎥 Even/odd functions & numbers
      • Symmetry of polynomial functions
        • 🎥 Even & odd polynomials
    • Radical relationships
      • Solving square-root equations
        • 🎥 Intro to square-root equations & extraneous solutions
        • 🎥 Solving square-root equations (basic)
        • 🎥 Solving square-root equations: one solution
        • 🎥 Solving square-root equations: two solutions
        • 🎥 Solving square-root equations: no solution
      • Extraneous solutions of radical equations
        • 🎥 Extraneous solutions of radical equations
        • 🎥 Extraneous solutions of radical equations (example 2)
      • Solving cube-root equations
        • 🎥 Solving cube-root equations
      • Domain of radical functions
        • 🎥 Domain of a radical function
      • Graphs of radical functions
        • 🎥 Transforming the square-root function
        • 🎥 Graphs of square-root functions
        • 🎥 Square-root functions & their graphs
    • Rational relationships
      • Simplifying rational expressions
        • 🎥 Intro to rational expression simplification
        • 🎥 Simplifying rational expressions: common monomial factors
        • 🎥 Simplifying rational expressions: common binomial factors
        • 🎥 Simplifying rational expressions: opposite common binomial factors
        • 🎥 Simplifying rational expressions: grouping
        • 🎥 Simplifying rational expressions: higher degree terms
        • 🎥 Simplifying rational expressions: two variables
        • 🎥 Simplifying rational expressions (old video)
      • Multiplying & dividing rational expressions
        • 🎥 Multiplying & dividing rational expressions: monomials
        • 🎥 Multiplying rational expressions
        • 🎥 Dividing rational expressions
        • 🎥 Multiplying rational expressions: multiple variables
        • 🎥 Dividing rational expressions: unknown expression
      • Adding & subtracting rational expressions
        • 🎥 Adding & subtracting rational expressions: like denominators
        • 🎥 Intro to adding rational expressions with unlike denominators
        • 🎥 Adding rational expression: unlike denominators
        • 🎥 Subtracting rational expressions: unlike denominators
        • 🎥 Least common multiple
        • 🎥 Least common multiple: repeating factors
        • 🎥 Subtracting rational expressions: factored denominators
        • 🎥 Least common multiple of polynomials
        • 🎥 Subtracting rational expressions
      • Nested fractions
        • 🎥 Nested fractions
      • Solving rational equations
        • 🎥 Equations with one rational expression
        • 🎥 Equations with one rational expression (advanced)
        • 🎥 Equations with rational expressions
        • 🎥 Equations with rational expressions (example 2)
      • Direct and inverse variation
        • 🎥 Intro to direct & inverse variation
        • 🎥 Recognizing direct & inverse variation
        • 🎥 Recognizing direct & inverse variation: table
        • 🎥 Inverse variation word problem: string vibration
      • End behavior of rational functions
        • 🎥 End behavior of rational functions
      • Discontinuities of rational functions
        • 🎥 Discontinuities of rational functions
        • 🎥 Analyzing vertical asymptotes of rational functions
      • Graphs of rational functions
        • 🎥 Graphing rational functions according to asymptotes
        • 🎥 Graphs of rational functions: y-intercept
        • 🎥 Graphs of rational functions: horizontal asymptote
        • 🎥 Graphs of rational functions: vertical asymptotes
        • 🎥 Graphs of rational functions: zeros
        • 🎥 Graphs of rational functions (old example)
        • 🎥 Graphing rational functions 1
        • 🎥 Graphing rational functions 2
        • 🎥 Graphing rational functions 3
        • 🎥 Graphing rational functions 4
      • Modeling with rational functions
        • 🎥 Analyzing structure word problem: pet store (1 of 2)
        • 🎥 Analyzing structure word problem: pet store (2 of 2)
        • 🎥 Rational equations word problem: combined rates
        • 🎥 Rational equations word problem: combined rates (example 2)
        • 🎥 Rational equations word problem: eliminating solutions
        • 🎥 Reasoning about unknown variables
        • 🎥 Reasoning about unknown variables: divisibility
        • 🎥 Structure in rational expression
    • Exponential growth & decay
      • Equivalent forms of exponential expressions
        • 🎥 Simplifying exponential expressions
        • 🎥 Rewriting exponential expressions
      • Solving exponential equations using properties of exponents
        • 🎥 Solving exponential equations using exponent properties
        • 🎥 Solving exponential equations using exponent properties (advanced)
      • Interpreting the rate of change of exponential models
        • 🎥 Interpreting change in exponential models
        • 🎥 Interpreting time in exponential models
      • Constructing exponential models according to rate of change
        • 🎥 Constructing exponential models
        • 🎥 Constructing exponential models: half life
        • 🎥 Constructing exponential models: percent change
        • 🎥 Constructing exponential models (old example)
      • Advanced interpretation of exponential models
        • 🎥 Interpreting change in exponential models: with manipulation
        • 🎥 Interpreting change in exponential models: changing units
        • 🎥 Structure in exponential expression
      • Distinguishing between linear and exponential growth
        • 🎥 Linear vs. exponential growth: from data
        • 🎥 Linear vs. exponential growth: from data (example 2)
        • 🎥 Comparing growth of exponential & quadratic models
    • Exponentials & logarithms
      • Introduction to logarithms
        • 🎥 Intro to logarithms
        • 🎥 Evaluating logarithms (advanced)
        • 🎥 Relationship between exponentials & logarithms
        • 🎥 Relationship between exponentials & logarithms: graphs
        • 🎥 Relationship between exponentials & logarithms: tables
      • The constant e and the natural logarithm
        • 🎥 𝑒 and compound interest
        • 🎥 𝑒 as a limit
        • 🎥 Evaluating natural logarithm with calculator
      • Properties of logarithms
        • 🎥 Intro to logarithm properties (1 of 2)
        • 🎥 Intro to logarithm properties (2 of 2)
        • 🎥 Using the logarithmic product rule
        • 🎥 Using the logarithmic power rule
        • 🎥 Using the properties of logarithms: multiple steps
        • 🎥 Proof of the logarithm product rule
        • 🎥 Proof of the logarithm quotient and power rules
      • The change of base formula for logarithms
        • 🎥 Evaluating logarithms: change of base rule
        • 🎥 Using the logarithm change of base rule
        • 🎥 Proof of the logarithm change of base rule
      • Solving exponential equations with logarithms
        • 🎥 Solving exponential equations using logarithms: base-10
        • 🎥 Solving exponential equations using logarithms: base-2
      • Solving exponential models
        • 🎥 Exponential model word problem: medication dissolve
        • 🎥 Exponential model word problem: bacteria growth
      • Graphs of exponential functions
        • 🎥 Transforming exponential graphs
        • 🎥 Transforming exponential graphs (example 2)
        • 🎥 Graphing exponential functions
        • 🎥 Exponential function graph
        • 🎥 Graphs of exponential functions (old example)
      • Graphs of logarithmic functions
        • 🎥 Graphs of logarithms & exponentials
        • 🎥 Graphing basic logarithmic functions
        • 🎥 Graphs of logarithmic functions
      • Logarithmic scale (optional)
        • 🎥 Logarithmic scale (with Vi Hart)
        • 🎥 Logarithmic scale
        • 🎥 Richter scale
        • 🎥 Benford's law (with Vi Hart, 1 of 2)
        • 🎥 Benford's law (with Vi Hart, 2 of 2)
    • Trigonometry
      • Introduction to radians
        • 🎥 Intro to radians
        • 🎥 Radians & degrees
        • 🎥 Degrees to radians
        • 🎥 Radians to degrees
        • 🎥 Radian angles & quadrants
      • The unit circle definition of sine, cosine, and tangent
        • 🎥 Unit circle
        • 🎥 The trig functions & right triangle trig ratios
      • The graphs of sine, cosine, and tangent
        • 🎥 Graph of y=sin(x)
        • 🎥 Intersection points of y=sin(x) and y=cos(x)
        • 🎥 Graph of y=tan(x)
      • Basic trigonometric identities
        • 🎥 Sine & cosine identities: symmetry
        • 🎥 Tangent identities: symmetry
        • 🎥 Sine & cosine identities: periodicity
        • 🎥 Tangent identities: periodicity
      • Trigonometric values of special angles
        • 🎥 Trig values of special angles
      • The Pythagorean identity
        • 🎥 Proof of the Pythagorean trig identity
        • 🎥 Using the Pythagorean trig identity
      • Introduction to amplitude, midline, and extrema of sinusoidal functions
        • 🎥 Features of sinusoidal functions
      • Finding amplitude and midline of sinusoidal functions from their formulas
        • 🎥 Amplitude & period of sinusoidal functions from equation
      • Period of sinusoidal functions
        • 🎥 Amplitude & period of sinusoidal functions from equation
      • Graphing sinusoidal functions
        • 🎥 Transforming sinusoidal graphs: vertical stretch & horizontal reflection
        • 🎥 Transforming sinusoidal graphs: vertical & horizontal stretches
      • Constructing sinusoidal functions
        • 🎥 Sinusoidal function from graph
        • 🎥 Trig word problem: modeling daily temperature
        • 🎥 Trig word problem: modeling annual temperature
    • Advanced equations & functions
      • Solving equations by graphing
        • 🎥 Interpreting equations graphically
        • 🎥 Interpreting equations graphically (example 2)
        • 🎥 Solving equations graphically (1 of 2)
        • 🎥 Solving equations graphically (2 of 2)
      • Systems of quadratic equations
        • 🎥 Quadratic systems: graphical solution
        • 🎥 Quadratic systems: algebraic solution
        • 🎥 Quadratic systems: no solution
        • 🎥 Quadratic systems: both variables are squared
        • 🎥 Quadratic systems: a line and a circle
      • Interpreting the symmetry of algebraic models
        • 🎥 Symmetry of algebraic models
      • Interpreting the end behavior of algebraic models
        • 🎥 End behavior of algebraic models
      • Interpreting the periodicity of algebraic models
        • 🎥 Periodicity of algebraic models
      • Comparing features of functions
        • 🎥 Comparing functions: x-intercepts
        • 🎥 Comparing functions: shared features
        • 🎥 Comparing maximum points of quadratic functions
    • Series
      • Arithmetic sequences
        • 🎥 Sequences intro
        • 🎥 Intro to arithmetic sequences
        • 🎥 Explicit formulas for arithmetic sequences
        • 🎥 Sequences word problem: growth pattern
      • Basic sigma notation
        • 🎥 Summation notation
      • Finite arithmetic series
        • 🎥 Arithmetic series intro
        • 🎥 Arithmetic series formula
        • 🎥 Worked example: arithmetic series (sigma notation)
        • 🎥 Worked example: arithmetic series (sum expression)
        • 🎥 Worked example: arithmetic series (recursive formula)
        • 🎥 Proof of finite arithmetic series formula
      • Geometric sequences
        • 🎥 Intro to geometric sequences
        • 🎥 Explicit & recursive formulas for geometric sequences
        • 🎥 Converting recursive & explicit forms of geometric sequences
      • Finite geometric series
        • 🎥 Geometric series intro
        • 🎥 Geometric series with sigma notation
        • 🎥 Worked example: finite geometric series (sigma notation)
        • 🎥 Worked examples: finite geometric series
        • 🎥 Finite geometric series formula justification
      • Finite geometric series applications
        • 🎥 Finite geometric series word problem: social media
        • 🎥 Finite geometric series word problem: mortgage
    • Modeling
      • Modeling with one-variable equations and inequalities
        • 🎥 Rational equation word problem
        • 🎥 Quadratic inequality word problem
        • 🎥 Exponential equation word problem
      • Manipulating formulas
        • 🎥 Manipulating formulas: perimeter
        • 🎥 Manipulating formulas: area
        • 🎥 Manipulating formulas: temperature
    • Conic sections
      • Introduction to conic sections
        • 🎥 Intro to conic sections
      • The features of a circle
        • 🎥 Graphing circles from features
        • 🎥 Features of a circle from its graph
      • Standard equation of a circle
        • 🎥 Features of a circle from its standard equation
        • 🎥 Graphing a circle from its standard equation
        • 🎥 Writing standard equation of a circle
      • Expanded equation of a circle
        • 🎥 Features of a circle from its expanded equation
      • Focus and directrix of a parabola
        • 🎥 Intro to focus & directrix
        • 🎥 Equation of a parabola from focus & directrix
        • 🎥 Focus & directrix of a parabola from equation
  • Basic geometry
    • Lines
      • Lines, line segments, and rays
        • 🎥 Terms & labels in geometry
        • 🎥 Lines, line segments, & rays
      • Parallel and perpendicular
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines
        • 🎥 Drawing parallel line segments
    • Angles
      • Angle introduction
        • 🎥 Angles: introduction
        • 🎥 Naming angles
      • Measuring and drawing angles
        • 🎥 Measuring angles in degrees
        • 🎥 Measuring angles using a protractor
        • 🎥 Measuring angles using a protractor 2
        • 🎥 Constructing angles
      • Angles in circles
        • 🎥 Angle measurement & circle arcs
        • 🎥 Measuring angles with a circular protractor
        • 🎥 Angles in circles word problem
      • Angle types
        • 🎥 Acute, right, & obtuse angles
        • 🎥 Recognizing angles
        • 🎥 Drawing acute, right and obtuse angles
        • 🎥 Identifying an angle
      • Vertical, complementary, and supplementary angles
        • 🎥 Complementary & supplementary angles
        • 🎥 Vertical angles
      • Angles between intersecting lines
        • 🎥 Angles, parallel lines, & transversals
        • 🎥 Parallel & perpendicular lines
        • 🎥 Missing angles with a transversal
    • Shapes
      • Properties of shapes
        • 🎥 Cousin Fal's shape collection
        • 🎥 Recognizing shapes
      • Quadrilaterals
        • 🎥 Intro to quadrilateral
        • 🎥 Quadrilateral properties
        • 🎥 Quadrilateral types
        • 🎥 Classifying quadrilaterals
        • 🎥 Kites as a geometric shape
      • Triangles
        • 🎥 Classifying triangles
        • 🎥 Classifying triangles by angles
        • 🎥 Worked example: Classifying triangles
      • Classifying geometric shapes
        • 🎥 Classifying shapes by line and angles types
        • 🎥 Classifying shapes by lines and angles
      • Triangle angles
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Triangle exterior angle example
        • 🎥 Worked example: Triangle angles (intersecting lines)
        • 🎥 Worked example: Triangle angles (diagram)
        • 🎥 Triangle angle challenge problem
        • 🎥 Triangle angle challenge problem 2
      • Geometric solids (3D shapes)
        • 🎥 Counting faces and edges of 3D shapes
        • 🎥 Recognizing common 3D shapes
    • Coordinate plane
      • Coordinate plane: quadrant 1
        • 🎥 Introduction to the coordinate plane
        • 🎥 Coordinate plane: graphing points
        • 🎥 Coordinate plane graphing word problem
      • Coordinate plane: 4 quadrants
        • 🎥 Points on the coordinate plane examples
        • 🎥 Plotting a point (ordered pair)
        • 🎥 Finding the point not graphed
        • 🎥 Coordinate plane word problem examples
      • Quadrants on the coordinate plane
        • 🎥 Quadrants of the coordinate plane
        • 🎥 Points and quadrants example
      • Reflecting points on coordinate plane
        • 🎥 Reflecting points in the coordinate plane
      • Quadrilaterals on the coordinate plane
        • 🎥 Coordinates of a missing vertex
        • 🎥 Area of a parallelogram on the coordinate plane
        • 🎥 Dimensions of a rectangle from coordinates
        • 🎥 Example of shapes on a coordinate plane
        • 🎥 Coordinates of rectangle example
        • 🎥 Plotting corners of a rectangle
      • Drawing polygons in the coordinate plane
        • 🎥 Drawing a quadrilateral on the coordinate plane example
    • Area and perimeter
      • Count unit squares to find area
        • 🎥 Intro to area and unit squares
        • 🎥 Measuring rectangles with different unit squares
        • 🎥 Measuring area with partial unit squares
        • 🎥 Creating rectangles with a given area 1
        • 🎥 Creating rectangles with a given area 2
      • Area of rectangles
        • 🎥 Transitioning from unit squares to area formula
        • 🎥 Finding missing side when given area
        • 🎥 Counting unit squares to find area formula
      • Perimeter
        • 🎥 Perimeter: introduction
        • 🎥 Perimeter of a shape
        • 🎥 Finding perimeter when a side length is missing
        • 🎥 Finding missing side length when given perimeter
      • Area of parallelograms
        • 🎥 Area of a parallelogram
        • 🎥 Finding height of a parallelogram
      • Area of triangles
        • 🎥 Area of a triangle
        • 🎥 Finding area of triangle
        • 🎥 Triangle missing side example
      • Area of trapezoids & composite figures
        • 🎥 Area of trapezoids
        • 🎥 Area of kites
        • 🎥 Finding area by rearranging parts
        • 🎥 Area of composite shapes
      • Area and circumference of circles
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Labeling parts of a circle
        • 🎥 Relating circumference and area
        • 🎥 Area of a circle
        • 🎥 Finding circumference of a circle when given the area
        • 🎥 Partial circle area and arc length
    • Volume and surface area
      • Volume of rectangular prisms
        • 🎥 Volume intro
        • 🎥 Measuring volume with unit cubes
        • 🎥 Measuring volume as area times length
        • 🎥 Volume of a rectangular prism
        • 🎥 How volume changes from changing dimensions
      • Volume with fractions
        • 🎥 Volume with fractional cubes
        • 🎥 Volume of a rectangular prism: fractional dimensions
        • 🎥 Volume of a rectangular prism: word problem
      • Surface area
        • 🎥 Intro to nets of polyhedra
        • 🎥 Surface area using a net: triangular prism
        • 🎥 Surface area of a box (cuboid)
        • 🎥 Surface area of a box using nets
        • 🎥 Surface area using a net: rectangular prism
        • 🎥 Surface area word problem example
      • Volume of cones, cylinders, and spheres
        • 🎥 Cylinder volume & surface area
        • 🎥 Volume of a cone
        • 🎥 Volume of a sphere
    • Pythagorean theorem
      • Pythagorean theorem
        • 🎥 Intro to the Pythagorean theorem
        • 🎥 Pythagorean theorem example
        • 🎥 Use Pythagorean theorem to find area of an isosceles triangle
      • Pythagorean theorem application
        • 🎥 Use Pythagorean theorem to find area of an isosceles triangle
        • 🎥 Pythagorean theorem word problem: carpet
        • 🎥 Pythagorean theorem word problem: fishing boat
        • 🎥 Pythagorean theorem in 3D
      • Pythagorean theorem and distance between points
        • 🎥 Finding distance with Pythagorean theorem
        • 🎥 Distance formula
      • Pythagorean theorem proofs
        • 🎥 Garfield's proof of the Pythagorean theorem
        • 🎥 Bhaskara's proof of the Pythagorean theorem
        • 🎥 Pythagorean theorem proof using similarity
        • 🎥 Another Pythagorean theorem proof
    • Transformations, congruence, and similarity
      • Line of symmetry
        • 🎥 Intro to reflective symmetry
        • 🎥 Identifying symmetrical figures
      • Transformations intro
        • 🎥 Rigid transformations intro
        • 🎥 Identifying type of transformation
      • Translations
        • 🎥 Performing translations
        • 🎥 Translating shapes
        • 🎥 Determining translations
      • Rotations
        • 🎥 Performing rotations
        • 🎥 Determining rotations
      • Reflections
        • 🎥 Performing reflections
        • 🎥 Reflecting shapes: diagonal line of reflection
        • 🎥 Determining reflections (advanced)
      • Properties & definitions of transformations
        • 🎥 Congruent shapes & transformations
      • Dilations
        • 🎥 Performing dilations
        • 🎥 Dilating shapes: expanding
        • 🎥 Dilating shapes: shrinking
        • 🎥 Side lengths after dilation
      • Congruence and similarity
        • 🎥 Congruent shapes & transformations
        • 🎥 Non-congruent shapes & transformations
        • 🎥 Dilating shapes: shrinking
        • 🎥 Similar shapes & transformations
        • 🎥 Side lengths after dilation
  • High school geometry
    • Geometry foundations
      • Intro to Euclidean geometry
        • 🎥 Euclid as the father of geometry
        • 🎥 Terms & labels in geometry
        • 🎥 Lines, line segments, & rays
        • 🎥 Specifying planes in three dimensions
        • 🎥 Geometric definitions example
      • Angles
        • 🎥 Measuring angles in degrees
        • 🎥 Measuring angles using a protractor
        • 🎥 Measuring angles using a protractor 2
        • 🎥 Acute, right, & obtuse angles
        • 🎥 Vertical angles
        • 🎥 Equation practice with vertical angles
        • 🎥 Complementary & supplementary angles
        • 🎥 Equation practice with complementary angles
        • 🎥 Equation practice with supplementary angles
        • 🎥 Angles, parallel lines, & transversals
        • 🎥 Parallel & perpendicular lines
        • 🎥 Missing angles with a transversal
        • 🎥 Measures of angles formed by a transversal
        • 🎥 Proving angles are congruent
      • Polygons
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Triangle exterior angle example
        • 🎥 Worked example: Triangle angles (intersecting lines)
        • 🎥 Worked example: Triangle angles (diagram)
        • 🎥 Triangle angle challenge problem 2
        • 🎥 Sum of interior angles of a polygon
        • 🎥 Sum of the exterior angles of a polygon
        • 🎥 Triangle inequality theorem
        • 🎥 Intro to quadrilateral
        • 🎥 Quadrilateral properties
        • 🎥 Kites as a geometric shape
        • 🎥 Quadrilateral types
        • 🎥 Proof: Opposite sides of a parallelogram
        • 🎥 Proof: Opposite angles of a parallelogram
      • Area
        • 🎥 Perimeter & area
        • 🎥 Area of a triangle
        • 🎥 Area of a parallelogram
        • 🎥 Area of trapezoids
        • 🎥 Area of kites
        • 🎥 Area of a triangle on a grid
        • 🎥 Area of a quadrilateral on a grid
        • 🎥 Area of composite shapes
        • 🎥 Perimeter & area of composite shapes
        • 🎥 Challenge problems: perimeter & area
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Area of a circle
        • 🎥 Radius & diameter from circumference
        • 🎥 Area of a circle intuition
        • 🎥 Intro to nets of polyhedra
        • 🎥 Surface area using a net: rectangular prism
    • Transformations
      • Introduction to rigid transformations
        • 🎥 Rigid transformations intro
        • 🎥 Dilations intro
        • 🎥 Identifying transformations
      • Translations
        • 🎥 Translating points
        • 🎥 Determining translations
        • 🎥 Translating shapes
        • 🎥 Translation challenge problem
      • Rotations
        • 🎥 Rotating points
        • 🎥 Determining rotations
        • 🎥 Rotating shapes
      • Reflections
        • 🎥 Reflecting points
        • 🎥 Determining reflections
        • 🎥 Determining reflections (advanced)
        • 🎥 Reflecting shapes
        • 🎥 Reflecting shapes: diagonal line of reflection
      • Rigid transformations overview
        • 🎥 Finding measures using rigid transformations
        • 🎥 Rigid transformations: preserved properties
        • 🎥 Mapping shapes
      • Dilations
        • 🎥 Dilating points
        • 🎥 Dilations: scale factor
        • 🎥 Dilations: center
        • 🎥 Dilating shapes: expanding
        • 🎥 Dilating shapes: shrinking
        • 🎥 Dilations and properties
      • Properties & definitions of transformations
        • 🎥 Sequences of transformations
        • 🎥 Defining transformations
        • 🎥 Proofs with transformations
        • 🎥 Identifying type of transformation
      • Symmetry
        • 🎥 Intro to reflective symmetry
        • 🎥 Intro to rotational symmetry
        • 🎥 Finding a quadrilateral from its symmetries
        • 🎥 Finding a quadrilateral from its symmetries (example 2)
    • Congruence
      • Transformations & congruence
        • 🎥 Congruent shapes & transformations
        • 🎥 Non-congruent shapes & transformations
      • Triangle congruence
        • 🎥 Congruent triangles & the SSS postulate/criterion
        • 🎥 Triangle congruence postulates/criteria
        • 🎥 Why SSA isn't a congruence postulate/criterion
        • 🎥 Determining congruent triangles
      • Theorems concerning triangle properties
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Proofs concerning isosceles triangles
        • 🎥 Proofs concerning equilateral triangles
      • Working with triangles
        • 🎥 Corresponding angles in congruent triangles
        • 🎥 Isosceles & equilateral triangles problems
        • 🎥 Finding angles in isosceles triangles
        • 🎥 Finding angles in isosceles triangles (example 2)
      • Theorems concerning quadrilateral properties
        • 🎥 Proof: Opposite sides of a parallelogram
        • 🎥 Proof: Diagonals of a parallelogram
        • 🎥 Proof: Opposite angles of a parallelogram
        • 🎥 Proof: The diagonals of a kite are perpendicular
        • 🎥 Proof: Rhombus diagonals are perpendicular bisectors
        • 🎥 Proof: Rhombus area
      • Proofs of general theorems that use triangle congruence
        • 🎥 Geometry proof problem: midpoint
        • 🎥 Geometry proof problem: congruent segments
        • 🎥 Geometry proof problem: squared circle
      • Constructing bisectors of lines & angles
        • 🎥 Geometric constructions: perpendicular bisector
        • 🎥 Geometric constructions: perpendicular line
        • 🎥 Geometric constructions: angle bisector
    • Similarity
      • Definitions of similarity
        • 🎥 Similar shapes & transformations
      • Introduction to triangle similarity
        • 🎥 Intro to triangle similarity
        • 🎥 Triangle similarity postulates/criteria
        • 🎥 Determining similar triangles
        • 🎥 Proving slope is constant using similarity
      • Solving similar triangles
        • 🎥 Solving similar triangles
        • 🎥 Solving similar triangles: same side plays different roles
      • Angle bisector theorem
        • 🎥 Intro to angle bisector theorem
        • 🎥 Using the angle bisector theorem
      • Solving problems with similar & congruent triangles
        • 🎥 Using similar & congruent triangles
        • 🎥 Challenging similarity problem
      • Solving modeling problems with similar & congruent triangles
        • 🎥 Geometry word problem: the golden ratio
        • 🎥 Geometry word problem: Earth & Moon radii
        • 🎥 Geometry word problem: a perfect pool shot
    • Right triangles & trigonometry
      • Pythagorean theorem
        • 🎥 Intro to the Pythagorean theorem
        • 🎥 Intro to the Pythagorean theorem 2
        • 🎥 Pythagorean theorem word problem: fishing boat
        • 🎥 Pythagorean theorem example
        • 🎥 Pythagorean theorem word problem: carpet
        • 🎥 Pythagorean theorem with isosceles triangle
        • 🎥 Introduction to the Pythagorean theorem
        • 🎥 Pythagorean theorem II
      • Pythagorean theorem proofs
        • 🎥 Garfield's proof of the Pythagorean theorem
        • 🎥 Bhaskara's proof of the Pythagorean theorem
        • 🎥 Pythagorean theorem proof using similarity
        • 🎥 Another Pythagorean theorem proof
      • Special right triangles
        • 🎥 Special right triangles intro (part 1)
        • 🎥 Special right triangles intro (part 2)
        • 🎥 30-60-90 triangle example problem
        • 🎥 Special right triangles proof (part 1)
        • 🎥 Special right triangles proof (part 2)
        • 🎥 Area of a regular hexagon
      • Introduction to the trigonometric ratios
        • 🎥 Intro to the trigonometric ratios
        • 🎥 Trigonometric ratios in right triangles
      • Solving for a side in a right triangle using the trigonometric ratios
        • 🎥 Solving for a side in right triangles with trigonometry
      • Solving for an angle in a right triangle using the trigonometric ratios
      • Modeling with right triangles
        • 🎥 Right triangle word problem
      • Trigonometric ratios & similarity
        • 🎥 Triangle similarity & the trigonometric ratios
        • 🎥 Trig challenge problem: verify identities
        • 🎥 Trig challenge problem: trig values & side ratios
      • Sine & cosine of complementary angles
        • 🎥 Sine & cosine of complementary angles
        • 🎥 Using complementary angles
        • 🎥 Trig word problem: complementary angles
      • Law of sines
        • 🎥 Solving for a side with the law of sines
        • 🎥 Solving for an angle with the law of sines
        • 🎥 Proof of the law of sines
      • Law of cosines
        • 🎥 Solving for a side with the law of cosines
        • 🎥 Solving for an angle with the law of cosines
        • 🎥 Proof of the law of cosines
      • Solving general triangles
        • 🎥 Trig word problem: stars
    • Solid geometry
      • Solid geometry intro
        • 🎥 Volume of triangular prism & cube
        • 🎥 Volume of a cone
        • 🎥 Cylinder volume & surface area
        • 🎥 Volume of a sphere
      • Density
        • 🎥 Density word problem: blimp
      • 2D vs. 3D objects
        • 🎥 Slicing a rectangular pyramid
        • 🎥 Ways to cross-section a cube
        • 🎥 Rotating 2D shapes in 3D
    • Analytic geometry
      • Distance and midpoints
        • 🎥 Distance formula
        • 🎥 Midpoint formula
      • Dividing line segments
        • 🎥 Dividing line segments: graphical
        • 🎥 Dividing line segments
      • Problem solving with distance on the coordinate plane
        • 🎥 Area of trapezoid on the coordinate plane
        • 🎥 Points inside/outside/on a circle
        • 🎥 Challenge problem: Points on two circles
        • 🎥 Coordinate plane word problem
        • 🎥 Classifying quadrilaterals on the coordinate plane
      • Parallel & perpendicular lines on the coordinate plane
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines from graph
      • Equations of parallel & perpendicular lines
        • 🎥 Parallel lines from equation
        • 🎥 Parallel lines from equation (example 2)
        • 🎥 Parallel lines from equation (example 3)
        • 🎥 Perpendicular lines from equation
        • 🎥 Writing equations of perpendicular lines
        • 🎥 Writing equations of perpendicular lines (example 2)
        • 🎥 Proof: parallel lines have the same slope
        • 🎥 Proof: perpendicular lines have negative reciprocal slope
    • Circles
      • Circle basics
        • 🎥 Circles glossary
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Proof: all circles are similar
      • Arc measure
        • 🎥 Intro to arc measure
        • 🎥 Finding arc measures
        • 🎥 Finding arc measures with equations
      • Arc length (degrees)
        • 🎥 Arc length from subtended angle
        • 🎥 Subtended angle from arc length
      • Introduction to radians
        • 🎥 Intro to radians
        • 🎥 Radians & degrees
        • 🎥 Degrees to radians
        • 🎥 Radians to degrees
      • Arc length (radians)
        • 🎥 Arc length as fraction of circumference
        • 🎥 Arc length from subtended angle: radians
      • Sectors
        • 🎥 Area of a sector
      • Inscribed angles
        • 🎥 Inscribed angles
        • 🎥 Inscribed angle theorem proof
      • Inscribed shapes problem solving
        • 🎥 Proof: Right triangles inscribed in circles
        • 🎥 Inscribed shapes: find diameter
        • 🎥 Inscribed shapes: angle subtended by diameter
        • 🎥 Inscribed shapes: find inscribed angle
        • 🎥 Inscribed quadrilaterals proof
        • 🎥 Solving inscribed quadrilaterals
        • 🎥 Proof: radius is perpendicular to a chord it bisects
        • 🎥 Proof: perpendicular radius bisects chord
        • 🎥 Area of inscribed equilateral triangle
      • Properties of tangents
        • 🎥 Proof: Radius is perpendicular to tangent line
        • 🎥 Proof: Segments tangent to circle from outside point are congruent
        • 🎥 Tangents of circles problem (example 1)
        • 🎥 Tangents of circles problem (example 2)
        • 🎥 Tangents of circles problem (example 3)
      • Standard equation of a circle
        • 🎥 Features of a circle from its standard equation
        • 🎥 Graphing a circle from its standard equation
        • 🎥 Writing standard equation of a circle
      • Expanded equation of a circle
        • 🎥 Features of a circle from its expanded equation
      • Constructing regular polygons inscribed in circles
        • 🎥 Geometric constructions: circle-inscribed square
        • 🎥 Geometric constructions: circle-inscribed equilateral triangle
        • 🎥 Geometric constructions: circle-inscribed regular hexagon
      • Constructing circumcircles & incircles
        • 🎥 Geometric constructions: triangle-inscribing circle
        • 🎥 Geometric constructions: triangle-circumscribing circle
      • Constructing a line tangent to a circle
        • 🎥 Geometric constructions: circle tangent
        • 🎥 Geometric constructions: circle tangent (example 2)
  • Trigonometry
    • Trigonometry with right triangles
      • Introduction to the trigonometric ratios
        • 🎥 Intro to the trigonometric ratios
        • 🎥 Trigonometric ratios in right triangles
      • Solving for a side in a right triangle using the trigonometric ratios
        • 🎥 Solving for a side in right triangles with trigonometry
      • Solving for an angle in a right triangle using the trigonometric ratios
      • Modeling with right triangles
        • 🎥 Right triangle word problem
      • Trigonometric ratios and similarity
        • 🎥 Triangle similarity & the trigonometric ratios
        • 🎥 Trig challenge problem: verify identities
        • 🎥 Trig challenge problem: trig values & side ratios
      • Sine and cosine of complementary angles
        • 🎥 Sine & cosine of complementary angles
        • 🎥 Using complementary angles
        • 🎥 Trig word problem: complementary angles
      • Trigonometric ratios of special triangles
      • Introduction to the Pythagorean trigonometric identity
        • 🎥 Intro to the Pythagorean trig identity
      • The reciprocal trigonometric ratios
        • 🎥 Finding reciprocal trig ratios
        • 🎥 Using reciprocal trig ratios
    • Trigonometry with general triangles
      • The law of sines
        • 🎥 Solving for a side with the law of sines
        • 🎥 Solving for an angle with the law of sines
        • 🎥 Proof of the law of sines
      • The law of cosines
        • 🎥 Solving for a side with the law of cosines
        • 🎥 Solving for an angle with the law of cosines
        • 🎥 Proof of the law of cosines
      • Solving general triangles
        • 🎥 Trig word problem: stars
    • The unit circle definition of sine, cosine, and tangent
      • Introduction to radians
        • 🎥 Intro to radians
        • 🎥 Radians & degrees
        • 🎥 Degrees to radians
        • 🎥 Radians to degrees
        • 🎥 Radian angles & quadrants
      • The unit circle definition of sine, cosine, and tangent
        • 🎥 Unit circle
        • 🎥 The trig functions & right triangle trig ratios
      • The graphs of sine, cosine, and tangent
        • 🎥 Graph of y=sin(x)
        • 🎥 Graph of y=tan(x)
        • 🎥 Intersection points of y=sin(x) and y=cos(x)
      • Basic trigonometric identities
        • 🎥 Sine & cosine identities: symmetry
        • 🎥 Tangent identities: symmetry
        • 🎥 Sine & cosine identities: periodicity
        • 🎥 Tangent identities: periodicity
      • Trigonometric values of special angles
        • 🎥 Trig values of special angles
      • The Pythagorean identity
        • 🎥 Proof of the Pythagorean trig identity
        • 🎥 Using the Pythagorean trig identity
      • Long live Tau
        • 🎥 Tau versus pi
        • 🎥 Pi is (still) wrong
    • Graphs of trigonometric functions
      • The graphs of sine, cosine, and tangent
        • 🎥 Graph of y=sin(x)
        • 🎥 Intersection points of y=sin(x) and y=cos(x)
        • 🎥 Graph of y=tan(x)
      • Introduction to amplitude, midline, and extrema of sinusoidal functions
        • 🎥 Features of sinusoidal functions
      • Finding amplitude and midline of sinusoidal functions from their formulas
        • 🎥 Amplitude & period of sinusoidal functions from equation
      • Period of sinusoidal functions
        • 🎥 Amplitude & period of sinusoidal functions from equation
      • Graphing sinusoidal functions
        • 🎥 Transforming sinusoidal graphs: vertical stretch & horizontal reflection
        • 🎥 Transforming sinusoidal graphs: vertical & horizontal stretches
      • Constructing sinusoidal functions
        • 🎥 Sinusoidal function from graph
        • 🎥 Trig word problem: modeling daily temperature
        • 🎥 Trig word problem: modeling annual temperature
        • 🎥 Trig word problem: length of day (phase shift)
    • Trigonometric equations and identities
      • The inverse trigonometric functions
        • 🎥 Intro to arcsine
        • 🎥 Intro to arctangent
        • 🎥 Intro to arccosine
        • 🎥 Restricting domains of functions to make them invertible
        • 🎥 Domain & range of inverse tangent function
        • 🎥 Using inverse trig functions with a calculator
      • Solving basic sinusoidal equations
        • 🎥 Solving sinusoidal equations of the form sin(x)=d
        • 🎥 Solving cos(θ)=1 and cos(θ)=-1
      • Solving advanced sinusoidal equations
      • Solving sinusoidal models
        • 🎥 Trig word problem: solving for temperature
      • Introduction to the trigonometric angle addition identities
        • 🎥 Review of trig angle addition identities
        • 🎥 Using the cosine angle addition identity
        • 🎥 Using the cosine double-angle identity
        • 🎥 Proof of the sine angle addition identity
        • 🎥 Proof of the cosine angle addition identity
      • Using trigonometric identities to solve problems
        • 🎥 Finding trig values using angle addition identities
        • 🎥 Using trig angle addition identities: finding side lengths
        • 🎥 Using trig angle addition identities: manipulating expressions
        • 🎥 Using trigonometric identities
      • Challenging trigonometry problems
        • 🎥 Trig challenge problem: area of a triangle
        • 🎥 Trig challenge problem: area of a hexagon
        • 🎥 Trig challenge problem: cosine of angle-sum
        • 🎥 Trig challenge problem: arithmetic progression
        • 🎥 Trig challenge problem: maximum value
        • 🎥 Trig challenge problem: multiple constraints
        • 🎥 Trig challenge problem: system of equations
  • Statistics and probability
    • Analyzing categorical data
      • Analyzing one categorical variable
        • 🎥 Identifying individuals, variables and categorical variables in a data set
        • 🎥 Reading pictographs
        • 🎥 Reading bar graphs
        • 🎥 Reading bar graphs: Harry Potter
        • 🎥 Creating a bar graph
        • 🎥 Reading bar charts: comparing two sets of data
        • 🎥 Reading bar charts: putting it together with central tendency
        • 🎥 Reading pie graphs (circle graphs)
      • Two-way tables
        • 🎥 Two-way frequency tables and Venn diagrams
        • 🎥 Two-way relative frequency tables
        • 🎥 Interpreting two-way tables
        • 🎥 Categorical data example
        • 🎥 Analyzing trends in categorical data
      • Distributions in two-way tables
        • 🎥 Marginal distribution and conditional distribution
    • Displaying and comparing quantitative data
      • Displaying quantitative data with graphs
        • 🎥 Representing data
        • 🎥 Frequency tables & dot plots
        • 🎥 Creating a histogram
        • 🎥 Interpreting a histogram
        • 🎥 Stem-and-leaf plots
        • 🎥 Reading stem and leaf plots
      • Describing and comparing distributions
        • 🎥 Shapes of distributions
        • 🎥 Clusters, gaps, peaks & outliers
        • 🎥 Comparing distributions with dot plots (example problem)
        • 🎥 Comparing dot plots, histograms, and box plots
        • 🎥 Example: Comparing distributions
      • More on data displays
        • 🎥 Reading line graphs
        • 🎥 Misleading line graphs
    • Summarizing quantitative data
      • Measuring center in quantitative data
        • 🎥 Statistics intro: Mean, median, & mode
        • 🎥 Mean, median, & mode example
      • More on mean and median
        • 🎥 Comparing means of distributions
        • 🎥 Means and medians of different distributions
        • 🎥 Impact on median & mean: removing an outlier
        • 🎥 Impact on median & mean: increasing an outlier
        • 🎥 Missing value given the mean
        • 🎥 Median & range puzzlers
      • Interquartile range (IQR)
        • 🎥 Interquartile range (IQR)
      • Variance and standard deviation of a population
        • 🎥 Measures of spread: range, variance & standard deviation
        • 🎥 Variance of a population
        • 🎥 Population standard deviation
        • 🎥 Mean and standard deviation versus median and IQR
        • 🎥 Statistics: Alternate variance formulas
      • Variance and standard deviation of a sample
        • 🎥 Sample variance
        • 🎥 Sample standard deviation and bias
      • More on standard deviation
        • 🎥 Why we divide by n - 1 in variance
        • 🎥 Simulation showing bias in sample variance
        • 🎥 Simulation providing evidence that (n-1) gives us unbiased estimate
        • 🎥 Review and intuition why we divide by n-1 for the unbiased sample variance
      • Box and whisker plots
        • 🎥 Worked example: Creating a box plot (odd number of data points)
        • 🎥 Worked example: Creating a box plot (even number of data points)
        • 🎥 Constructing a box plot
        • 🎥 Reading box plots
        • 🎥 Interpreting box plots
        • 🎥 Judging outliers in a dataset
      • Other measures of spread
        • 🎥 Range and mid-range
        • 🎥 Mean absolute deviation (MAD)
        • 🎥 Mean absolute deviation example
    • Modeling data distributions
      • Percentiles
        • 🎥 Calculating percentile
        • 🎥 Analyzing a cumulative relative frequency graph
      • Z-scores
        • 🎥 Normal distribution problem: z-scores (from ck12.org)
        • 🎥 Comparing with z-scores
      • Effects of linear transformations
        • 🎥 How parameters change as data is shifted and scaled
      • Density curves
        • 🎥 Density Curves
        • 🎥 Median, mean and skew from density curves
        • 🎥 Density curve worked example
        • 🎥 Worked example finding area under density curves
      • Normal distributions and the empirical rule
        • 🎥 Qualitative sense of normal distributions (from ck12.org)
        • 🎥 Normal distribution problems: Empirical rule (from ck12.org)
        • 🎥 Standard normal distribution and the empirical rule (from ck12.org)
        • 🎥 More empirical rule and z-score practice (from ck12.org)
        • 🎥 Introduction to the normal distribution
        • 🎥 Normal distribution excel exercise
      • Normal distribution calculations
        • 🎥 Standard normal table for proportion below
        • 🎥 Standard normal table for proportion above
        • 🎥 Standard normal table for proportion between values
        • 🎥 Finding z-score for a percentile
        • 🎥 Threshold for low percentile
    • Exploring bivariate numerical data
      • Introduction to scatterplots
        • 🎥 Constructing a scatter plot
        • 🎥 Scatter plots: studying, shoe size, and test scores
        • 🎥 Scatter plot: smokers
        • 🎥 Bivariate relationship linearity, strength and direction
      • Correlation coefficients
        • 🎥 Example: Correlation coefficient intuition
        • 🎥 Calculating correlation coefficient r
      • Introduction to trend lines
        • 🎥 Fitting a line to data
        • 🎥 Estimating the line of best fit exercise
        • 🎥 Estimating with linear regression (linear models)
        • 🎥 Line of best fit: smoking in 1945
      • Least-squares regression equations
        • 🎥 Introduction to residuals and least squares regression
        • 🎥 Calculating residual example
        • 🎥 Calculating the equation of a regression line
        • 🎥 Interpreting slope of regression line
        • 🎥 Interpreting y-intercept in regression model
        • 🎥 Interpreting a trend line
      • Assessing the fit in least-squares regression
        • 🎥 Residual plots
        • 🎥 R-squared or coefficient of determination
        • 🎥 Standard deviation of residuals or Root-mean-square error (RMSD)
        • 🎥 Interpreting computer regression data
        • 🎥 Impact of removing outliers on regression lines
      • More on regression
        • 🎥 Squared error of regression line
        • 🎥 Proof (part 1) minimizing squared error to regression line
        • 🎥 Proof (part 2) minimizing squared error to regression line
        • 🎥 Proof (part 3) minimizing squared error to regression line
        • 🎥 Proof (part 4) minimizing squared error to regression line
        • 🎥 Regression line example
        • 🎥 Second regression example
        • 🎥 R-squared or coefficient of determination
        • 🎥 Calculating R-squared
        • 🎥 Covariance and the regression line
    • Study design
      • Statistical questions
        • 🎥 Statistical questions
        • 🎥 Statistical and non statistical questions
      • Sampling and observational studies
        • 🎥 Reasonable samples
        • 🎥 Identifying a sample and population
        • 🎥 Examples of bias in surveys
        • 🎥 Example of under coverage introducing bias
        • 🎥 Correlation and causality
      • Sampling methods
        • 🎥 Picking fairly
        • 🎥 Techniques for generating a simple random sample
        • 🎥 Techniques for random sampling and avoiding bias
      • Types of studies (experimental vs. observational)
        • 🎥 Types of statistical studies
        • 🎥 Worked example identifying experiment
        • 🎥 Worked example identifying observational study
        • 🎥 Worked example identifying sample study
        • 🎥 Appropriate statistical study example
      • Experiments
        • 🎥 Introduction to experiment design
        • 🎥 Matched pairs experiment design
    • Probability
      • Basic theoretical probability
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
        • 🎥 Intuitive sense of probabilities
        • 🎥 The Monty Hall problem
      • Probability using sample spaces
        • 🎥 Probability with counting outcomes
        • 🎥 Example: All the ways you can flip a coin
        • 🎥 Die rolling probability
        • 🎥 Subsets of sample spaces
      • Basic set operations
        • 🎥 Intersection and union of sets
        • 🎥 Relative complement or difference between sets
        • 🎥 Universal set and absolute complement
        • 🎥 Subset, strict subset, and superset
        • 🎥 Bringing the set operations together
      • Experimental probability
        • 🎥 Experimental probability
        • 🎥 Theoretical and experimental probabilites
        • 🎥 Making predictions with probability
      • Randomness, probability, and simulation
        • 🎥 Experimental versus theoretical probability simulation
        • 🎥 Random number list to run experiment
        • 🎥 Random numbers for experimental probability
        • 🎥 Statistical significance of experiment
      • Addition rule
        • 🎥 Probability with Venn diagrams
        • 🎥 Addition rule for probability
      • Multiplication rule for independent events
        • 🎥 Sample spaces for compound events
        • 🎥 Compound probability of independent events
        • 🎥 Probability of a compound event
        • 🎥 Coin flipping probability
        • 🎥 Free-throw probability
        • 🎥 Three-pointer vs free-throw probability
        • 🎥 Probability without equally likely events
        • 🎥 Independent events example: test taking
        • 🎥 Die rolling probability with independent events
      • Multiplication rule for dependent events
        • 🎥 Dependent probability introduction
        • 🎥 Dependent probability: coins
        • 🎥 Dependent probability example
        • 🎥 Independent & dependent probability
        • 🎥 Dependent probability
      • Conditional probability and independence
        • 🎥 Calculating conditional probability
        • 🎥 Conditional probability explained visually
        • 🎥 Conditional probability tree diagram example
        • 🎥 Conditional probability and independence
        • 🎥 Analyzing event probability for independence
    • Counting, permutations, and combinations
      • Counting principle and factorial
        • 🎥 Count outcomes using tree diagram
        • 🎥 Counting outcomes: flower pots
      • Permutations
        • 🎥 Permutation formula
        • 🎥 Zero factorial or 0!
        • 🎥 Factorial and counting seat arrangements
        • 🎥 Possible three letter words
        • 🎥 Ways to arrange colors
        • 🎥 Ways to pick officers
      • Combinations
        • 🎥 Intro to combinations
        • 🎥 Combination formula
        • 🎥 Handshaking combinations
        • 🎥 Combination example: 9 card hands
      • Combinatorics and probability
        • 🎥 Probability using combinations
        • 🎥 Probability & combinations (2 of 2)
        • 🎥 Example: Different ways to pick officers
        • 🎥 Example: Combinatorics and probability
        • 🎥 Getting exactly two heads (combinatorics)
        • 🎥 Exactly three heads in five flips
        • 🎥 Generalizing with binomial coefficients (bit advanced)
        • 🎥 Example: Lottery probability
        • 🎥 Conditional probability and combinations
        • 🎥 Mega millions jackpot probability
        • 🎥 Birthday probability problem
    • Random variables
      • Discrete random variables
        • 🎥 Random variables
        • 🎥 Discrete and continuous random variables
        • 🎥 Constructing a probability distribution for random variable
        • 🎥 Probability models example: frozen yogurt
        • 🎥 Valid discrete probability distribution examples
        • 🎥 Probability with discrete random variable example
        • 🎥 Mean (expected value) of a discrete random variable
        • 🎥 Variance and standard deviation of a discrete random variable
      • Continuous random variables
        • 🎥 Probability density functions
        • 🎥 Probabilities from density curves
      • Transforming random variables
        • 🎥 Impact of transforming (scaling and shifting) random variables
        • 🎥 Example: Transforming a discrete random variable
      • Combining random variables
        • 🎥 Mean of sum and difference of random variables
        • 🎥 Variance of sum and difference of random variables
        • 🎥 Intuition for why independence matters for variance of sum
        • 🎥 Deriving the variance of the difference of random variables
        • 🎥 Example: Analyzing distribution of sum of two normally distributed random variables
        • 🎥 Example: Analyzing the difference in distributions
      • Binomial random variables
        • 🎥 Binomial variables
        • 🎥 Recognizing binomial variables
        • 🎥 10% Rule of assuming "independence" between trials
        • 🎥 Binomial distribution
        • 🎥 Visualizing a binomial distribution
        • 🎥 Binomial probability example
        • 🎥 Generalizing k scores in n attempts
        • 🎥 Free throw binomial probability distribution
        • 🎥 Graphing basketball binomial distribution
        • 🎥 Binompdf and binomcdf functions
      • Binomial mean and standard deviation formulas
        • 🎥 Mean and variance of Bernoulli distribution example
        • 🎥 Bernoulli distribution mean and variance formulas
        • 🎥 Expected value of a binomial variable
        • 🎥 Variance of a binomial variable
        • 🎥 Finding the mean and standard deviation of a binomial random variable
      • Geometric random variables
        • 🎥 Geometric random variables introduction
        • 🎥 Probability for a geometric random variable
        • 🎥 Cumulative geometric probability (greater than a value)
        • 🎥 Cumulative geometric probability (less than a value)
        • 🎥 TI-84 geometpdf and geometcdf functions
        • 🎥 Proof of expected value of geometric random variable
      • More on expected value
        • 🎥 Term life insurance and death probability
        • 🎥 Getting data from expected value
        • 🎥 Expected profit from lottery ticket
        • 🎥 Expected value while fishing
        • 🎥 Comparing insurance with expected value
        • 🎥 Law of large numbers
      • Poisson distribution
        • 🎥 Poisson process 1
        • 🎥 Poisson process 2
    • Sampling distributions
      • What is a sampling distribution?
        • 🎥 Introduction to sampling distributions
        • 🎥 Sample statistic bias worked example
      • Sampling distribution of a sample proportion
        • 🎥 Sampling distribution of sample proportion part 1
        • 🎥 Sampling distribution of sample proportion part 2
        • 🎥 Normal conditions for sampling distributions of sample proportions
        • 🎥 Probability of sample proportions example
      • Sampling distribution of a sample mean
        • 🎥 Inferring population mean from sample mean
        • 🎥 Central limit theorem
        • 🎥 Sampling distribution of the sample mean
        • 🎥 Sampling distribution of the sample mean 2
        • 🎥 Standard error of the mean
        • 🎥 Example: Probability of sample mean exceeding a value
        • 🎥 Example: Probability of sample mean being within some distance of true mean
    • One-sample confidence intervals
      • Introduction to confidence intervals
        • 🎥 Confidence intervals and margin of error
        • 🎥 Confidence interval simulation
        • 🎥 Interpreting confidence level example
      • Estimating a population proportion
        • 🎥 Confidence interval example
        • 🎥 Margin of error 1
        • 🎥 Margin of error 2
        • 🎥 Conditions for valid confidence intervals
        • 🎥 Conditions for confidence intervals worked examples
        • 🎥 Critical value (z*) for a given confidence level
        • 🎥 Example constructing and interpreting a confidence interval for p
        • 🎥 Determining sample size based on confidence and margin of error
      • Estimating a population mean
        • 🎥 Example: Probability of sample mean being within some distance of true mean
        • 🎥 Small sample size confidence intervals
        • 🎥 T-statistic confidence interval
    • One-sample z and t significance tests
      • The idea of significance tests
        • 🎥 Simple hypothesis testing
        • 🎥 Idea behind hypothesis testing
        • 🎥 Type 1 errors
      • Tests about a population proportion
        • 🎥 Large sample proportion hypothesis testing
      • Tests about a population mean
        • 🎥 Hypothesis testing and p-values
        • 🎥 One-tailed and two-tailed tests
        • 🎥 Z-statistics vs. T-statistics
        • 🎥 Small sample hypothesis test
    • Two-sample inference for the difference between groups
      • Comparing two proportions
        • 🎥 Comparing population proportions 1
        • 🎥 Comparing population proportions 2
        • 🎥 Hypothesis test comparing population proportions
      • Comparing two means
        • 🎥 Statistical significance of experiment
        • 🎥 Statistical significance on bus speeds
        • 🎥 Difference of sample means distribution
        • 🎥 Confidence interval of difference of means
        • 🎥 Clarification of confidence interval of difference of means
        • 🎥 Hypothesis test for difference of means
    • Inference for categorical data (chi-square tests)
      • Chi-square goodness-of-fit tests
        • 🎥 Chi-square distribution introduction
        • 🎥 Pearson's chi square test (goodness of fit)
      • Chi-square tests for homogeneity and association/independence
        • 🎥 Filling out frequency table for independent events
        • 🎥 Contingency table chi-square test
    • Advanced regression (inference and transforming)
      • Nonlinear regression
        • 🎥 Comparing models to fit data example
    • Analysis of variance (ANOVA)
      • Analysis of variance (ANOVA)
        • 🎥 ANOVA 1: Calculating SST (total sum of squares)
        • 🎥 ANOVA 2: Calculating SSW and SSB (total sum of squares within and between)
        • 🎥 ANOVA 3: Hypothesis test with F-statistic
  • High school statistics
    • Scatterplots
      • Creating and interpreting scatterplots
        • 🎥 Constructing a scatter plot
        • 🎥 Scatter plots: studying, shoe size, and test scores
        • 🎥 Example: Correlation coefficient intuition
        • 🎥 Correlation and causality
      • Estimating with trend lines
        • 🎥 Estimating the line of best fit exercise
        • 🎥 Line of best fit: smoking in 1945
        • 🎥 Interpreting a trend line
    • Data distributions
      • Displays of distributions
        • 🎥 Frequency tables & dot plots
        • 🎥 Creating a histogram
        • 🎥 Interpreting a histogram
        • 🎥 Shapes of distributions
      • Summarizing center of distributions (central tendency)
        • 🎥 Statistics intro: Mean, median, & mode
        • 🎥 Mean, median, & mode example
        • 🎥 Missing value given the mean
        • 🎥 Impact on median & mean: removing an outlier
        • 🎥 Impact on median & mean: increasing an outlier
      • Summarizing spread of distributions
        • 🎥 Interquartile range (IQR)
        • 🎥 Measures of spread: range, variance & standard deviation
      • Box and whisker plots
        • 🎥 Constructing a box plot
        • 🎥 Reading box plots
        • 🎥 Interpreting box plots
      • Comparing distributions
        • 🎥 Comparing distributions with dot plots (example problem)
    • Two-way tables
      • Two-way frequency tables
      • Two-way relative frequency tables
        • 🎥 Two-way relative frequency tables
        • 🎥 Interpreting two-way tables
    • Study design
      • Samples and surveys
        • 🎥 Reasonable samples
      • Observational studies and experiments
        • 🎥 Types of statistical studies
        • 🎥 Correlation and causality
        • 🎥 Appropriate statistical study example
    • Probability
      • Probability basics
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
        • 🎥 Experimental probability
        • 🎥 Theoretical and experimental probabilites
        • 🎥 Making predictions with probability
        • 🎥 Intuitive sense of probabilities
        • 🎥 Probability models example: frozen yogurt
      • Counting with permutations
        • 🎥 Counting outcomes: flower pots
        • 🎥 Count outcomes using tree diagram
        • 🎥 Permutation formula
        • 🎥 Possible three letter words
        • 🎥 Ways to arrange colors
        • 🎥 Ways to pick officers
      • Counting with combinations
        • 🎥 Intro to combinations
        • 🎥 Combination formula
        • 🎥 Handshaking combinations
        • 🎥 Combination example: 9 card hands
      • Probability with counting, permutations, combinations
        • 🎥 Probability with counting outcomes
        • 🎥 Example: All the ways you can flip a coin
        • 🎥 Example: Different ways to pick officers
        • 🎥 Example: Combinatorics and probability
        • 🎥 Mega millions jackpot probability
      • Multiplication rule for independent events
        • 🎥 Compound probability of independent events
        • 🎥 Independent events example: test taking
        • 🎥 Free-throw probability
      • Multiplication rule for dependent events
        • 🎥 Dependent probability introduction
        • 🎥 Independent & dependent probability
        • 🎥 Dependent probability: coins
      • Addition rule for probability
        • 🎥 Probability with Venn diagrams
        • 🎥 Addition rule for probability
      • Conditional probability
      • Simulation and randomness
      • Expected value
    • Binomial probability
      • Binomial probability
        • 🎥 Binomial probability example
        • 🎥 Generalizing k scores in n attempts
        • 🎥 Free throw binomial probability distribution
        • 🎥 Graphing basketball binomial distribution
    • Normal distributions
      • Normal distributions
        • 🎥 Normal distribution problems: Empirical rule (from ck12.org)
        • 🎥 Qualitative sense of normal distributions (from ck12.org)
  • AP Statistics
    • Analyzing categorical data
      • Welcome to AP Statistics
        • 🎥 Meet Jeff, a creator of AP Statistics on Khan Academy
      • Analyzing one categorical variable
        • 🎥 Identifying individuals, variables and categorical variables in a data set
        • 🎥 Creating a bar graph
        • 🎥 Reading bar charts: comparing two sets of data
      • Two-way tables
        • 🎥 Two-way frequency tables and Venn diagrams
        • 🎥 Two-way relative frequency tables
        • 🎥 Interpreting two-way tables
      • Distributions in two-way tables
        • 🎥 Marginal distribution and conditional distribution
    • Displaying and comparing quantitative data
      • Frequency tables and dot plots
        • 🎥 Frequency tables & dot plots
      • Histograms and stem-and-leaf plots
        • 🎥 Creating a histogram
        • 🎥 Interpreting a histogram
        • 🎥 Stem-and-leaf plots
        • 🎥 Reading stem and leaf plots
      • Describing and comparing distributions
        • 🎥 Shapes of distributions
        • 🎥 Example: Describing a distribution
        • 🎥 Example: Comparing distributions
    • Summarizing quantitative data
      • Measuring center in quantitative data
        • 🎥 Statistics intro: Mean, median, & mode
        • 🎥 Mean, median, & mode example
      • More on mean and median
        • 🎥 Missing value given the mean
        • 🎥 Impact on median & mean: increasing an outlier
        • 🎥 Impact on median & mean: removing an outlier
      • Measuring spread in quantitative data
        • 🎥 Interquartile range (IQR)
        • 🎥 Variance of a population
        • 🎥 Population standard deviation
        • 🎥 Sample variance
        • 🎥 Sample standard deviation and bias
        • 🎥 Mean and standard deviation versus median and IQR
      • More on standard deviation
        • 🎥 Why we divide by n - 1 in variance
        • 🎥 Simulation showing bias in sample variance
        • 🎥 Simulation providing evidence that (n-1) gives us unbiased estimate
        • 🎥 Review and intuition why we divide by n-1 for the unbiased sample variance
      • Box and whisker plots
        • 🎥 Worked example: Creating a box plot (odd number of data points)
        • 🎥 Worked example: Creating a box plot (even number of data points)
        • 🎥 Constructing a box plot
        • 🎥 Reading box plots
        • 🎥 Interpreting box plots
        • 🎥 Judging outliers in a dataset
    • Modeling data distributions
      • Percentiles (cumulative relative frequency)
        • 🎥 Calculating percentile
        • 🎥 Analyzing a cumulative relative frequency graph
      • Z-scores
        • 🎥 Normal distribution problem: z-scores (from ck12.org)
        • 🎥 Comparing with z-scores
      • Effects of linear transformations
        • 🎥 How parameters change as data is shifted and scaled
      • Density curves
        • 🎥 Density Curves
        • 🎥 Median, mean and skew from density curves
        • 🎥 Density curve worked example
        • 🎥 Worked example finding area under density curves
      • Normal distributions and the empirical rule
        • 🎥 Qualitative sense of normal distributions (from ck12.org)
        • 🎥 Normal distribution problems: Empirical rule (from ck12.org)
      • Normal distribution calculations
        • 🎥 Standard normal table for proportion below
        • 🎥 Standard normal table for proportion above
        • 🎥 Standard normal table for proportion between values
        • 🎥 Finding z-score for a percentile
        • 🎥 Threshold for low percentile
    • Exploring bivariate numerical data
      • Introduction to scatterplots
        • 🎥 Constructing a scatter plot
        • 🎥 Scatter plots: studying, shoe size, and test scores
        • 🎥 Bivariate relationship linearity, strength and direction
      • Correlation coefficients
        • 🎥 Calculating correlation coefficient r
        • 🎥 Example: Correlation coefficient intuition
      • Least-squares regression equations
        • 🎥 Estimating with linear regression (linear models)
        • 🎥 Introduction to residuals and least squares regression
        • 🎥 Calculating residual example
        • 🎥 Calculating the equation of a regression line
        • 🎥 Interpreting slope of regression line
        • 🎥 Interpreting y-intercept in regression model
      • Assessing the fit in least-squares regression
        • 🎥 Residual plots
        • 🎥 R-squared or coefficient of determination
        • 🎥 Standard deviation of residuals or Root-mean-square error (RMSD)
        • 🎥 Interpreting computer regression data
        • 🎥 Impact of removing outliers on regression lines
    • Study design
      • Sampling and observational studies
        • 🎥 Identifying a sample and population
        • 🎥 Examples of bias in surveys
        • 🎥 Example of under coverage introducing bias
        • 🎥 Correlation and causality
      • Sampling methods
        • 🎥 Techniques for generating a simple random sample
        • 🎥 Techniques for random sampling and avoiding bias
      • Types of studies (experimental vs. observational)
        • 🎥 Types of statistical studies
        • 🎥 Worked example identifying experiment
        • 🎥 Worked example identifying observational study
      • Experiments
        • 🎥 Introduction to experiment design
        • 🎥 Matched pairs experiment design
    • Probability
      • Randomness, probability, and simulation
        • 🎥 Intro to theoretical probability
        • 🎥 Experimental versus theoretical probability simulation
        • 🎥 Random number list to run experiment
        • 🎥 Random numbers for experimental probability
        • 🎥 Statistical significance of experiment
      • Addition rule
        • 🎥 Probability with Venn diagrams
        • 🎥 Addition rule for probability
      • Multiplication rule
        • 🎥 Compound probability of independent events
        • 🎥 Independent events example: test taking
        • 🎥 Free-throw probability
        • 🎥 Three-pointer vs free-throw probability
        • 🎥 Dependent probability introduction
        • 🎥 Coin flipping probability
      • Conditional probability
        • 🎥 Conditional probability and independence
        • 🎥 Conditional probability with Bayes' Theorem
        • 🎥 Conditional probability tree diagram example
    • Random variables
      • Discrete random variables
        • 🎥 Constructing a probability distribution for random variable
        • 🎥 Valid discrete probability distribution examples
        • 🎥 Probability with discrete random variable example
        • 🎥 Mean (expected value) of a discrete random variable
        • 🎥 Variance and standard deviation of a discrete random variable
      • Continuous random variables
        • 🎥 Probabilities from density curves
      • Transforming random variables
        • 🎥 Impact of transforming (scaling and shifting) random variables
        • 🎥 Example: Transforming a discrete random variable
      • Combining random variables
        • 🎥 Mean of sum and difference of random variables
        • 🎥 Variance of sum and difference of random variables
        • 🎥 Intuition for why independence matters for variance of sum
        • 🎥 Deriving the variance of the difference of random variables
        • 🎥 Example: Analyzing distribution of sum of two normally distributed random variables
        • 🎥 Example: Analyzing the difference in distributions
      • Binomial random variables
        • 🎥 Binomial variables
        • 🎥 Recognizing binomial variables
        • 🎥 10% Rule of assuming "independence" between trials
        • 🎥 Binomial probability example
        • 🎥 Generalizing k scores in n attempts
        • 🎥 Free throw binomial probability distribution
        • 🎥 Graphing basketball binomial distribution
        • 🎥 Binompdf and binomcdf functions
      • Binomial mean and standard deviation formulas
        • 🎥 Expected value of a binomial variable
        • 🎥 Variance of a binomial variable
        • 🎥 Finding the mean and standard deviation of a binomial random variable
      • Geometric random variables
        • 🎥 Geometric random variables introduction
        • 🎥 Probability for a geometric random variable
        • 🎥 Cumulative geometric probability (greater than a value)
        • 🎥 Cumulative geometric probability (less than a value)
        • 🎥 TI-84 geometpdf and geometcdf functions
        • 🎥 Proof of expected value of geometric random variable
    • Sampling distributions
      • What is a sampling distribution?
        • 🎥 Introduction to sampling distributions
        • 🎥 Sample statistic bias worked example
      • Sampling distribution of a sample proportion
        • 🎥 Sampling distribution of sample proportion part 1
        • 🎥 Sampling distribution of sample proportion part 2
        • 🎥 Normal conditions for sampling distributions of sample proportions
        • 🎥 Probability of sample proportions example
      • Sampling distribution of a sample mean
        • 🎥 Central limit theorem
        • 🎥 Sampling distribution of the sample mean
        • 🎥 Sampling distribution of the sample mean 2
        • 🎥 Standard error of the mean
        • 🎥 Example: Probability of sample mean exceeding a value
    • One-sample confidence intervals
      • Introduction to confidence intervals
        • 🎥 Confidence intervals and margin of error
        • 🎥 Confidence interval simulation
        • 🎥 Interpreting confidence level example
      • One-sample z interval for a proportion
        • 🎥 Conditions for valid confidence intervals
        • 🎥 Conditions for confidence intervals worked examples
        • 🎥 Critical value (z*) for a given confidence level
        • 🎥 Example constructing and interpreting a confidence interval for p
        • 🎥 Determining sample size based on confidence and margin of error
  • Precalculus
    • Trigonometry
      • The inverse trigonometric functions
        • 🎥 Intro to arcsine
        • 🎥 Intro to arctangent
        • 🎥 Intro to arccosine
        • 🎥 Restricting domains of functions to make them invertible
        • 🎥 Domain & range of inverse tangent function
        • 🎥 Using inverse trig functions with a calculator
      • Solving basic sinusoidal equations
        • 🎥 Solving sinusoidal equations of the form sin(x)=d
        • 🎥 Solving cos(θ)=1 and cos(θ)=-1
      • Solving advanced sinusoidal equations
      • Solving sinusoidal models
        • 🎥 Trig word problem: solving for temperature
      • Introduction to the trigonometric angle addition identities
        • 🎥 Review of trig angle addition identities
        • 🎥 Using the cosine angle addition identity
        • 🎥 Using the cosine double-angle identity
        • 🎥 Proof of the sine angle addition identity
        • 🎥 Proof of the cosine angle addition identity
      • Using trigonometric identities to solve problems
        • 🎥 Finding trig values using angle addition identities
        • 🎥 Using trig angle addition identities: finding side lengths
        • 🎥 Using trig angle addition identities: manipulating expressions
        • 🎥 Using trigonometric identities
    • Conic sections
      • Introduction to conic sections
        • 🎥 Intro to conic sections
      • The features of a circle
        • 🎥 Graphing circles from features
        • 🎥 Features of a circle from its graph
      • Standard equation of a circle
        • 🎥 Features of a circle from its standard equation
        • 🎥 Graphing a circle from its standard equation
        • 🎥 Writing standard equation of a circle
      • Expanded equation of a circle
        • 🎥 Features of a circle from its expanded equation
      • Center and radii of an ellipse
        • 🎥 Intro to ellipses
        • 🎥 Ellipse standard equation from graph
        • 🎥 Ellipse graph from standard equation
      • Foci of an ellipse
        • 🎥 Foci of an ellipse from equation
      • Focus and directrix of a parabola
        • 🎥 Intro to focus & directrix
        • 🎥 Equation of a parabola from focus & directrix
        • 🎥 Focus & directrix of a parabola from equation
      • Introduction to hyperbolas
        • 🎥 Intro to hyperbolas
        • 🎥 Vertices & direction of a hyperbola
        • 🎥 Vertices & direction of a hyperbola (example 2)
        • 🎥 Graphing hyperbolas (old example)
      • Foci of a hyperbola
        • 🎥 Foci of a hyperbola from equation
        • 🎥 Proof of the hyperbola foci formula
      • Hyperbolas not centered at the origin
        • 🎥 Equation of a hyperbola not centered at the origin
      • Identifying conic sections from their expanded equations
        • 🎥 Conic section from expanded equation: circle & parabola
        • 🎥 Conic section from expanded equation: ellipse
        • 🎥 Conic section from expanded equation: hyperbola
      • Challenging conic section problems (IIT JEE)
        • 🎥 Representing a line tangent to a hyperbola
        • 🎥 Common tangent of circle & hyperbola (1 of 5)
        • 🎥 Common tangent of circle & hyperbola (2 of 5)
        • 🎥 Common tangent of circle & hyperbola (3 of 5)
        • 🎥 Common tangent of circle & hyperbola (4 of 5)
        • 🎥 Common tangent of circle & hyperbola (5 of 5)
        • 🎥 Intersection of circle & hyperbola
    • Vectors
      • Vector basics
        • 🎥 Intro to vectors & scalars
        • 🎥 Recognizing vectors
        • 🎥 Equivalent vectors
        • 🎥 Components of vectors
        • 🎥 Components of vectors (example 2)
      • Magnitude of vectors
        • 🎥 Vector magnitude from graph
        • 🎥 Vector magnitude from components
        • 🎥 Vector magnitude from initial & terminal points
      • Scalar multiplication
        • 🎥 Scalar multiplication of vectors
        • 🎥 Analyzing scalar multiplication
      • Vector addition and subtraction
        • 🎥 Adding & subtracting vectors
        • 🎥 Graphically adding & subtracting vectors
        • 🎥 Graphically subtracting vectors
        • 🎥 Adding vectors algebraically & graphically
      • Combined vector operations
        • 🎥 Combined vector operations
      • Unit vectors
        • 🎥 Unit vectors intro
        • 🎥 Worked example: finding unit vector with given direction
        • 🎥 Worked example: Scaling unit vectors
      • Magnitude and direction form of vectors
        • 🎥 Direction of vectors from components: 1st & 2nd quadrants
        • 🎥 Direction of vectors from components: 3rd & 4th quadrants
      • Component form of vectors
        • 🎥 Vector components from magnitude & direction
      • Adding vectors in magnitude and direction form
        • 🎥 Adding vectors in magnitude & direction form (1 of 2)
        • 🎥 Adding vectors in magnitude & direction form (2 of 2)
        • 🎥 Vector addition & magnitude
      • Applications of vectors
        • 🎥 Vectors word problem: pushing a box
        • 🎥 Vectors word problem: tug of war
        • 🎥 Vectors word problem: hiking
    • Matrices
      • Introduction to matrices
        • 🎥 Intro to matrices
      • Representing linear systems of equations with augmented matrices
      • Elementary matrix row operations
      • Row-echelon form and Gaussian elimination
        • 🎥 Solving linear systems with matrices
      • Adding and subtracting matrices
        • 🎥 Adding & subtracting matrices
      • Multiplying matrices by scalars
        • 🎥 Multiplying matrices by scalars
      • Properties of matrix addition & scalar multiplication
      • Multiplying matrices by matrices
        • 🎥 Intro to matrix multiplication
        • 🎥 Multiplying matrices
      • Properties of matrix multiplication
        • 🎥 Defined matrix operations
        • 🎥 Intro to identity matrix
        • 🎥 Dimensions of identity matrix
        • 🎥 Is matrix multiplication commutative?
        • 🎥 Associative property of matrix multiplication
        • 🎥 Zero matrix & matrix multiplication
        • 🎥 Using properties of matrix operations
        • 🎥 Using identity & zero matrices
      • Matrices as transformations
        • 🎥 Transforming vectors using matrices
        • 🎥 Transforming polygons using matrices
        • 🎥 Visual representation of transformation from matrix
      • The determinant of a 2x2 matrix
        • 🎥 Determinant of a 2x2 matrix
      • Introduction to matrix inverses
        • 🎥 Intro to matrix inverses
        • 🎥 Determining invertible matrices
      • Finding the inverse of a matrix using its determinant
        • 🎥 Finding inverse of a 2x2 matrix using determinant & adjugate
      • Practice finding the inverses of 2x2 matrices
      • Solving equations with inverse matrices
        • 🎥 Representing linear systems with matrix equations
        • 🎥 Solving linear systems with matrix equations
        • 🎥 Matrix word problem: vector combination
      • Model real-world situations with matrices
        • 🎥 Matrix word problem: prices
    • Complex numbers
      • What are the imaginary numbers?
        • 🎥 Intro to the imaginary numbers
        • 🎥 Powers of the imaginary unit
        • 🎥 Simplifying roots of negative numbers
        • 🎥 i as the principal root of -1
      • What are the complex numbers?
        • 🎥 Intro to complex numbers
        • 🎥 How to classify complex numbers (example)
      • The complex plane
        • 🎥 Plotting numbers on the complex plane
      • Adding and subtracting complex numbers
        • 🎥 Adding complex numbers
        • 🎥 Subtracting complex numbers
      • Distance and midpoint of complex numbers
        • 🎥 Distance & midpoint of complex numbers
      • Multiplying complex numbers
        • 🎥 Multiplying complex numbers
      • Complex conjugates and dividing complex numbers
        • 🎥 Intro to complex number conjugates
        • 🎥 Complex number conjugates
        • 🎥 Dividing complex numbers
      • Absolute value and angle of complex numbers
        • 🎥 Absolute value of complex numbers
        • 🎥 Absolute value & angle of complex numbers
      • Polar form of complex numbers
        • 🎥 Polar & rectangular forms of complex numbers
      • Multiplying and dividing complex numbers in polar form
        • 🎥 Dividing complex numbers: polar & exponential form
        • 🎥 Powers of complex numbers
        • 🎥 Complex number equations: x³=1
      • Challenging complex number problems
        • 🎥 Challenging complex numbers problem (1 of 3)
        • 🎥 Challenging complex numbers problem (2 of 3)
        • 🎥 Challenging complex numbers problem (3 of 3)
        • 🎥 Challenging complex numbers problem: complex determinant
    • Probability and combinatorics
      • Basic probability
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
      • Venn diagrams and the addition rule
        • 🎥 Probability with Venn diagrams
        • 🎥 Addition rule for probability
      • Compound probability of independent events using diagrams
        • 🎥 Die rolling probability
        • 🎥 Probability with counting outcomes
        • 🎥 Compound events example with tree diagram
      • Compound probability of independent events using the multiplication rule
        • 🎥 Compound probability of independent events
        • 🎥 Probability without equally likely events
        • 🎥 Independent events example: test taking
        • 🎥 Die rolling probability with independent events
        • 🎥 Coin flipping probability
        • 🎥 Free-throw probability
        • 🎥 Three-pointer vs free-throw probability
      • Dependent events
        • 🎥 Dependent probability introduction
        • 🎥 Dependent probability: coins
        • 🎥 Dependent probability example
        • 🎥 Independent & dependent probability
        • 🎥 The Monty Hall problem
      • Permutations
        • 🎥 Factorial and counting seat arrangements
        • 🎥 Permutation formula
        • 🎥 Possible three letter words
        • 🎥 Zero factorial or 0!
        • 🎥 Ways to arrange colors
        • 🎥 Ways to pick officers
      • Combinations
        • 🎥 Intro to combinations
        • 🎥 Combination formula
        • 🎥 Handshaking combinations
        • 🎥 Combination example: 9 card hands
      • Probability using combinatorics
        • 🎥 Probability using combinations
        • 🎥 Probability & combinations (2 of 2)
        • 🎥 Probability with counting outcomes
        • 🎥 Getting exactly two heads (combinatorics)
        • 🎥 Exactly three heads in five flips
        • 🎥 Generalizing with binomial coefficients (bit advanced)
        • 🎥 Example: Different ways to pick officers
        • 🎥 Example: Combinatorics and probability
        • 🎥 Example: Lottery probability
        • 🎥 Mega millions jackpot probability
        • 🎥 Birthday probability problem
    • Series
      • Arithmetic sequences
        • 🎥 Sequences intro
        • 🎥 Intro to arithmetic sequences
        • 🎥 Sequences word problem: growth pattern
        • 🎥 Explicit formulas for arithmetic sequences
      • Basic sigma notation
        • 🎥 Summation notation
      • Finite arithmetic series
        • 🎥 Arithmetic series intro
        • 🎥 Worked example: arithmetic series (sigma notation)
        • 🎥 Worked example: arithmetic series (sum expression)
        • 🎥 Worked example: arithmetic series (recursive formula)
        • 🎥 Proof of finite arithmetic series formula
      • Geometric sequences
        • 🎥 Intro to geometric sequences
        • 🎥 Intro to geometric sequences (advanced)
        • 🎥 Explicit & recursive formulas for geometric sequences
        • 🎥 Converting recursive & explicit forms of geometric sequences
      • Finite geometric series
        • 🎥 Geometric series intro
        • 🎥 Geometric series with sigma notation
        • 🎥 Worked example: finite geometric series (sigma notation)
        • 🎥 Worked examples: finite geometric series
        • 🎥 Finite geometric series formula justification
      • Finite geometric series applications
        • 🎥 Finite geometric series word problem: social media
        • 🎥 Finite geometric series word problem: mortgage
  • Differential calculus
    • Limits basics
      • Limits introduction
        • 🎥 Newton, Leibniz, and Usain Bolt
        • 🎥 Limits intro
        • 🎥 Introduction to limits (old)
        • 🎥 Limits from tables
        • 🎥 Limits from graphs: function undefined
        • 🎥 Limits from graphs: limit isn't equal to the function's value
        • 🎥 Limits from graphs: asymptote
      • One-sided limits
        • 🎥 One-sided limits from graphs
        • 🎥 One-sided limits from graphs: asymptote
        • 🎥 One-sided limits from tables
        • 🎥 1-sided vs. 2-sided limits (graphical)
        • 🎥 One-sided limit from equation
        • 🎥 Connecting limits and graphical behavior (more examples)
      • Formal definition of limits (epsilon-delta)
        • 🎥 Formal definition of limits Part 1: intuition review
        • 🎥 Formal definition of limits Part 2: building the idea
        • 🎥 Formal definition of limits Part 3: the definition
        • 🎥 Formal definition of limits Part 4: using the definition
      • Review: Limits basics
    • Continuity
      • Continuity at a point
        • 🎥 Continuity introduction
        • 🎥 Worked example: Continuity at a point
      • Limits of combined & composite functions
        • 🎥 Limit properties
        • 🎥 Limits of combined functions
        • 🎥 Limits of composite functions
      • Continuous functions
        • 🎥 Functions continuous on all real numbers
        • 🎥 Functions continuous at specific x-values
      • Intermediate value theorem
        • 🎥 Intermediate value theorem
        • 🎥 Intermediate value theorem example
      • Review: Continuity
    • Limits from equations
      • Limits from equations (direct substitution)
        • 🎥 Limits by direct substitution
        • 🎥 Undefined limits by direct substitution
      • Limits from equations (factoring & rationalizing)
        • 🎥 Limits by factoring
        • 🎥 Limits by rationalizing
      • Squeeze theorem
        • 🎥 Squeeze theorem intro
        • 🎥 Squeeze theorem example
        • 🎥 Limit of sin(x)/x as x approaches 0
      • Limits of trigonometric functions
        • 🎥 Trig limit using pythagorean identity
        • 🎥 Trig limit using double angle identity
      • Limits of piecewise functions
        • 🎥 Analyzing functions for discontinuities (continuous example)
        • 🎥 Analyzing functions for discontinuities (discontinuity example)
      • Removable discontinuities
        • 🎥 Removing discontinuities (factoring)
        • 🎥 Removing discontinuities (rationalization)
      • Review: Limits from equations
    • Infinite limits
      • Unbounded limits (vertical asymptotes)
        • 🎥 Infinite limits intro
        • 🎥 Unbounded limits: graphical
        • 🎥 Analyzing unbounded limits: rational function
        • 🎥 Analyzing unbounded limits: mixed function
      • Limits at infinity (horizontal asymptotes)
        • 🎥 Infinite limits intro
        • 🎥 Limits at infinity of quotients (Part 1)
        • 🎥 Limits at infinity of quotients (Part 2)
        • 🎥 Limits at infinity of quotients with square roots (odd power)
        • 🎥 Limits at infinity of quotients with square roots (even power)
        • 🎥 Limits at infinity of quotients with trig
        • 🎥 Limits at infinity of quotients with trig (limit undefined)
        • 🎥 Limit at infinity of a difference of functions
      • Review: Infinite limits
    • Derivative introduction
      • Introduction to differential calculus
        • 🎥 Newton, Leibniz, and Usain Bolt
        • 🎥 Derivative as slope of curve
        • 🎥 Derivative & the direction of a function
      • Derivative as slope of tangent line
        • 🎥 The derivative & tangent line equations
        • 🎥 Interpreting derivative challenge
      • Derivative as instantaneous rate of change
        • 🎥 Tangent slope as instantaneous rate of change
        • 🎥 Estimating derivatives with two consecutive secant lines
        • 🎥 Approximating instantaneous rate of change with average rate of change
      • Secant lines
        • 🎥 Slope of a line secant to a curve
        • 🎥 Secant line with arbitrary difference
        • 🎥 Secant line with arbitrary point
        • 🎥 Secant line with arbitrary difference (with simplification)
        • 🎥 Secant line with arbitrary point (with simplification)
        • 🎥 Secant lines: challenging problem 1
        • 🎥 Secant lines: challenging problem 2
      • Derivative as a limit
        • 🎥 Formal definition of the derivative as a limit
        • 🎥 Derivative as a limit: numerical
      • Formal definition of derivative
        • 🎥 Formal and alternate form of the derivative
        • 🎥 Worked example: Derivative as a limit
        • 🎥 Worked example: Derivative from limit expression
      • Using the formal definition of derivative
        • 🎥 The derivative of x² at x=3 using the formal definition
        • 🎥 The derivative of x² at any point using the formal definition
        • 🎥 Limit expression for the derivative of a linear function
        • 🎥 Limit expression for the derivative of cos(x) at a minimum point
        • 🎥 Limit expression for the derivative of function (graphical)
      • Differentiability
        • 🎥 Differentiability at a point: graphical
        • 🎥 Differentiability at a point: algebraic (function is differentiable)
        • 🎥 Differentiability at a point: algebraic (function isn't differentiable)
      • Derivative as a function
        • 🎥 The graphical relationship between a function & its derivative (part 1)
        • 🎥 The graphical relationship between a function & its derivative (part 2)
        • 🎥 Matching functions & their derivatives graphically
        • 🎥 Connecting f and f' graphically
      • Review: Derivative basics
    • Basic differentiation
      • Basic differentiation rules
        • 🎥 Basic derivative rules (Part 1)
        • 🎥 Basic derivative rules (Part 2)
        • 🎥 Basic derivative rules: find the error
        • 🎥 Basic derivative rules: table
      • Power rule
        • 🎥 Power rule
        • 🎥 Justifying the power rule
        • 🎥 Proof of power rule for positive integer powers
        • 🎥 Proof of power rule for square root function
      • Polynomial functions differentiation
        • 🎥 Differentiating polynomials
        • 🎥 Differentiating polynomials example
        • 🎥 Tangents of polynomials
      • Rational functions differentiation (intro)
        • 🎥 Negative powers differentiation
        • 🎥 Worked example: Tangent to the graph of 1/x
      • Radical functions differentiation (intro)
        • 🎥 Fractional powers differentiation
        • 🎥 Radical functions differentiation intro
      • Sine & cosine derivatives
        • 🎥 Derivatives of sin(x), cos(x), tan(x), eˣ & ln(x)
        • 🎥 Worked example: Derivatives of sin(x) and cos(x)
      • eˣ and ln(x) derivatives
        • 🎥 Derivatives of sin(x), cos(x), tan(x), eˣ & ln(x)
      • Review: Basic differentiation
    • Product, quotient, & chain rules
      • Product rule
        • 🎥 Product rule
        • 🎥 Differentiating products
        • 🎥 Worked example: Product rule with table
        • 🎥 Worked example: Product rule with mixed implicit & explicit
        • 🎥 Product rule to find derivative of product of three functions
        • 🎥 Product rule proof
      • Chain rule
        • 🎥 Chain rule
        • 🎥 Worked example: Derivative of cos³(x) using the chain rule
        • 🎥 Worked example: Derivative of ln(√x) using the chain rule
        • 🎥 Worked example: Derivative of √(3x²-x) using the chain rule
        • 🎥 Worked example: Chain rule with table
      • Chain rule proof
        • 🎥 Proof: Differentiability implies continuity
        • 🎥 If function u is continuous at x, then Δu→0 As Δx→0
        • 🎥 Chain rule proof
      • Quotient rule
        • 🎥 Quotient rule from product & chain rules
        • 🎥 Worked example: Quotient rule with table
        • 🎥 Tangent to y=𝑒ˣ/(2+x³)
        • 🎥 Normal to y=𝑒ˣ/x²
      • Review: Product, quotient, & chain rule
    • Differentiating common functions
      • Rational functions differentiation
        • 🎥 Differentiating rational functions
      • Radical functions differentiation
        • 🎥 Radical functions differentiation
      • Trigonometric functions differentiation
        • 🎥 Derivatives of tan(x) and cot(x)
        • 🎥 Derivatives of sec(x) and csc(x)
        • 🎥 Trig functions differentiation
      • Exponential functions differentiation
        • 🎥 Derivatives of sin(x), cos(x), tan(x), eˣ & ln(x)
        • 🎥 Exponential functions differentiation intro
        • 🎥 Exponential functions differentiation
      • Logarithmic functions differentiation
        • 🎥 Derivatives of sin(x), cos(x), tan(x), eˣ & ln(x)
        • 🎥 Derivative of logₐx (for any positive base a≠1)
        • 🎥 Logarithmic functions differentiation
        • 🎥 Differentiating logarithmic functions using log properties
      • Derivatives capstone
        • 🎥 Derivative of eᶜᵒˢˣ⋅cos(eˣ)
        • 🎥 Derivative of sin(ln(x²))
    • Advanced differentiation
      • Implicit differentiation introduction
        • 🎥 Implicit differentiation
        • 🎥 Worked example: Implicit differentiation
        • 🎥 Worked example: Evaluating derivative with implicit differentiation
        • 🎥 Showing explicit and implicit differentiation give same result
      • Implicit differentiation (advanced examples)
        • 🎥 Implicit differentiation (advanced example)
        • 🎥 Implicit differentiation (advanced example)
        • 🎥 Implicit differentiation (advanced example)
        • 🎥 Derivative of ln(x) from derivative of 𝑒ˣ and implicit differentiation
      • Inverse trig functions differentiation
        • 🎥 Derivative of inverse sine
        • 🎥 Derivative of inverse cosine
        • 🎥 Derivative of inverse tangent
      • Derivatives of inverse functions
        • 🎥 Derivatives of inverse functions: from equation
        • 🎥 Derivatives of inverse functions: from table
      • Disguised derivatives
        • 🎥 Derivatives expressed as limits
      • Proofs for the derivatives of eˣ and ln(x)
        • 🎥 Proof: The derivative of 𝑒ˣ is 𝑒ˣ
        • 🎥 Proof: the derivative of ln(x) is 1/x
      • Logarithmic differentiation
        • 🎥 Composite exponential function differentiation
        • 🎥 Worked example: Composite exponential function differentiation
      • Parametric & vector-valued function differentiation
        • 🎥 Vector-valued functions intro
        • 🎥 Vector-valued functions differentiation
        • 🎥 Parametric functions differentiation
      • Review: Advanced differentiation
      • Higher-order derivatives
        • 🎥 Second derivatives
      • Higher-order derivatives (parametric & vector-valued functions)
        • 🎥 Second derivatives (vector-valued functions)
        • 🎥 Second derivatives (parametric functions)
    • Analyzing functions with calculus
      • Critical points
        • 🎥 Introduction to minimum and maximum points
        • 🎥 Identifying relative minimum and maximum values
        • 🎥 Critical points introduction
        • 🎥 Finding critical points
      • Increasing & decreasing intervals
        • 🎥 Finding decreasing interval given the function
        • 🎥 Finding increasing interval given the derivative
      • Relative minima & maxima
        • 🎥 Finding relative extrema (first derivative test)
        • 🎥 Analyzing a function with its derivative
        • 🎥 Worked example: finding relative extrema
      • Absolute minima & maxima
        • 🎥 Extreme value theorem
        • 🎥 Finding absolute extrema on a closed interval
        • 🎥 Absolute minima & maxima (entire domain)
      • Review: Increasing/decreasing intervals & extrema
      • Concavity
        • 🎥 Concavity introduction
        • 🎥 Analyzing concavity (graphical)
        • 🎥 Analyzing concavity (algebraic)
        • 🎥 Second derivative test
      • Points of inflection
        • 🎥 Inflection points introduction
        • 🎥 Inflection points (graphical)
        • 🎥 Worked example: Inflection points from first derivative
        • 🎥 Inflection points (algebraic)
      • Sketching graphs using calculus
        • 🎥 Curve sketching with calculus: polynomial
        • 🎥 Curve sketching with calculus: logarithm
      • Review: Concavity & points of inflection
    • Derivative applications
      • Linear approximation
        • 🎥 Local linearity
        • 🎥 Linear approximation of a rational function
      • Rectilinear motion
        • 🎥 Motion problems: when a particle is speeding up
        • 🎥 Motion problems: finding the maximum acceleration
        • 🎥 Analyzing rectilinear motion graphically
        • 🎥 Total distance traveled by a particle
      • Planar motion
        • 🎥 Planar motion example: acceleration vector
        • 🎥 Motion along a curve: finding rate of change
        • 🎥 Motion along a curve: finding velocity magnitude
      • Related rates
        • 🎥 Related rates intro
        • 🎥 Related rates: Approaching cars
        • 🎥 Related rates: Falling ladder
        • 🎥 Related rates: water pouring into a cone
        • 🎥 Related rates: shadow
        • 🎥 Related rates: balloon
      • Optimization
        • 🎥 Optimization: sum of squares
        • 🎥 Optimization: box volume (Part 1)
        • 🎥 Optimization: box volume (Part 2)
        • 🎥 Optimization: profit
        • 🎥 Optimization: cost of materials
        • 🎥 Optimization: area of triangle & square (Part 1)
        • 🎥 Optimization: area of triangle & square (Part 2)
        • 🎥 Optimization problem: extreme normaline to y=x²
      • Applied rates of change
        • 🎥 Applied rate of change: forgetfulness
        • 🎥 Applied rates of change: marginal costs
        • 🎥 Marginal cost & differential calculus
      • Mean value theorem
        • 🎥 Mean value theorem
        • 🎥 Mean value theorem example: polynomial
        • 🎥 Mean value theorem example: square root function
        • 🎥 Mean value theorem application
      • L'Hôpital's rule
        • 🎥 L'Hôpital's rule introduction
        • 🎥 L'Hôpital's rule: limit at 0 example
        • 🎥 L'Hôpital's rule: challenging problem
        • 🎥 L'Hôpital's rule: limit at infinity example
        • 🎥 L'Hôpital's rule: solve for a variable
        • 🎥 L’Hôpital’s rule (composite exponential functions)
        • 🎥 Proof of special case of l'Hôpital's rule
      • Review: Derivative applications
  • Integral calculus
    • Indefinite integrals
      • Antiderivatives
        • 🎥 Antiderivatives and indefinite integrals
      • Indefinite integrals intro
        • 🎥 Reverse power rule
        • 🎥 Rewriting before integrating: challenge problem
        • 🎥 Visually determining antiderivative
        • 🎥 Graphs of indefinite integrals
      • Indefinite integrals of common functions
        • 🎥 Indefinite integrals of sin(x), cos(x), and eˣ
        • 🎥 Indefinite integral of 1/x
        • 🎥 Finding specific antiderivatives: rational function
        • 🎥 Finding specific antiderivatives: exponential function
      • Review: Indefinite integrals & antiderivatives
    • Definite integrals introduction
      • Definite integral as area
        • 🎥 Worked example: Definite integral by thinking about the function's graph
      • Definite integral properties
        • 🎥 Integrating scaled version of function
        • 🎥 Integrating sums of functions
        • 🎥 Definite integral over a single point
        • 🎥 Breaking up integral interval
        • 🎥 Definite integral of shifted function
        • 🎥 Switching bounds of definite integral
        • 🎥 Worked examples: Definite integral properties 2
        • 🎥 Worked examples: Definite integral properties 1
        • 🎥 Definite integral properties (no graph): function combination
        • 🎥 Definite integral properties (no graph): breaking interval
        • 🎥 Examples leveraging integration properties
      • Review: Definite integral basics
    • Riemann sums
      • Riemann sums
        • 🎥 Riemann approximation introduction
        • 🎥 Riemann sums in summation notation
        • 🎥 Motion problem with Riemann sum approximation
      • Riemann sums with sigma notation
        • 🎥 Worked example: Riemann sums in summation notation
        • 🎥 Riemann sums in summation notation: challenge problem
      • Trapezoidal rule
        • 🎥 Midpoint and trapezoidal sums in summation notation
        • 🎥 Trapezoidal sums
      • Definite integral as the limit of a Riemann sum
        • 🎥 Definite integral as the limit of a Riemann sum
        • 🎥 Ranking area estimates
      • Review: Riemann sums
    • Fundamental theorem of calculus
      • Functions defined by integrals
        • 🎥 Functions defined by integrals
        • 🎥 Functions defined by integrals: switched interval
        • 🎥 Functions defined by integrals: challenge problem
      • Fundamental theorem of calculus
        • 🎥 Fundamental theorem of calculus (Part 1)
        • 🎥 Worked example: Finding derivative with fundamental theorem of calculus
        • 🎥 Finding derivative with fundamental theorem of calculus: x is on both bounds
        • 🎥 Proof of fundamental theorem of calculus
      • Fundamental theorem of calculus: chain rule
        • 🎥 Worked example: Finding derivative with fundamental theorem of calculus
        • 🎥 Finding derivative with fundamental theorem of calculus: x is on lower bound
    • Definite integral evaluation
      • Definite integral evaluation
        • 🎥 Fundamental theorem of calculus (Part 2)
        • 🎥 Intuition for second part of fundamental theorem of calculus
        • 🎥 Area between a curve and the x-axis
        • 🎥 Area between a curve and the x-axis: negative area
        • 🎥 Definite integral of rational function
        • 🎥 Definite integral of radical function
        • 🎥 Definite integral of trig function
        • 🎥 Definite integral involving natural log
      • Definite integrals of piecewise functions
        • 🎥 Definite integral of piecewise function
        • 🎥 Definite integral of absolute value function
      • Improper integrals
        • 🎥 Introduction to improper integrals
        • 🎥 Improper integral with two infinite bounds
        • 🎥 Divergent improper integral
    • Integration techniques
      • Integration by parts
        • 🎥 Integration by parts intro
        • 🎥 Integration by parts: ∫x⋅cos(x)dx
        • 🎥 Integration by parts: ∫ln(x)dx
        • 🎥 Integration by parts: ∫x²⋅𝑒ˣdx
        • 🎥 Integration by parts: ∫𝑒ˣ⋅cos(x)dx
        • 🎥 Challenging definite integration
      • u-substitution
        • 🎥 𝘶-substitution intro
        • 🎥 𝘶-substitution: rational function
        • 🎥 𝘶-substitution: multiplying by a constant
        • 🎥 𝘶-substitution: logarithmic function
        • 🎥 𝘶-substitution: composite function
        • 🎥 𝘶-substitution: special application
        • 🎥 𝘶-substitution: definite integral of exponential function
        • 🎥 𝘶-substitution: double substitution
      • Reverse chain rule
        • 🎥 Reverse chain rule introduction
        • 🎥 Reverse chain rule example
        • 🎥 Integral of tan x
      • Partial fraction expansion
        • 🎥 Partial fraction expansion to evaluate integral
        • 🎥 Dividing expressions to evaluate integral
      • Integration using trigonometric identities
        • 🎥 Integral of cos^3(x)
        • 🎥 Integral of sin^2(x) cos^3(x)
        • 🎥 Integral of sin^4(x)
      • Trigonometric substitution
        • 🎥 Introduction to trigonometric substitution
        • 🎥 Substitution with x=sin(theta)
        • 🎥 More trig sub practice
        • 🎥 Trig and u substitution together (part 1)
        • 🎥 Trig and u substitution together (part 2)
        • 🎥 Trig substitution with tangent
        • 🎥 More trig substitution with tangent
        • 🎥 Long trig sub problem
    • Area & arc length using calculus
      • Area between curves
        • 🎥 Area between curves
        • 🎥 Area between curves with multiple boundaries
      • Arc length
        • 🎥 Arc length intro
        • 🎥 Worked example: arc length
        • 🎥 Worked example: arc length (advanced)
      • Area defined by polar graphs
        • 🎥 Area bounded by polar curves
        • 🎥 Worked example: Area enclosed by cardioid
        • 🎥 Worked example: Area between two polar graphs
        • 🎥 Evaluating definite integral with calculator
      • Arc length of polar graphs
        • 🎥 Arc length of polar curves
        • 🎥 Worked example: Arc length of polar curves
    • Integration applications
      • Area & net change
        • 🎥 Worked example: problem involving definite integral (graphical)
        • 🎥 Area under rate function gives the net change
      • Rectilinear motion
        • 🎥 Worked example: motion problems (with definite integrals)
      • Average value of a function
        • 🎥 Average value over a closed interval
        • 🎥 Calculating average value of function over interval
        • 🎥 Average acceleration over interval
        • 🎥 Mean value theorem for integrals
    • Volume using calculus
      • Solids with known cross sections
        • 🎥 Volume with cross sections: semicircle
        • 🎥 Volume with cross sections: triangle
      • Disc method
        • 🎥 Disc method around x-axis
        • 🎥 Generalizing disc method around x-axis
        • 🎥 Disc method around y-axis
        • 🎥 Disc method rotation around horizontal line
        • 🎥 Disc method rotating around vertical line
        • 🎥 Calculating integral disc around vertical line
      • Washer method
        • 🎥 Solid of revolution between two functions (leading up to the washer method)
        • 🎥 Generalizing the washer method
        • 🎥 Washer method rotating around horizontal line (not x-axis), part 1
        • 🎥 Washer method rotating around horizontal line (not x-axis), part 2
        • 🎥 Washer method rotating around vertical line (not y-axis), part 1
        • 🎥 Washer method rotating around vertical line (not y-axis), part 2
      • Shell method
        • 🎥 Shell method for rotating around vertical line
        • 🎥 Evaluating integral for shell method example
        • 🎥 Shell method for rotating around horizontal line
        • 🎥 Shell method with two functions of x
        • 🎥 Calculating integral with shell method
        • 🎥 Shell method with two functions of y
        • 🎥 Part 2 of shell method with 2 functions of y
    • Sequences & series intro
      • Sequences review
        • 🎥 Sequences intro
        • 🎥 Worked example: sequence explicit formula
        • 🎥 Worked example: sequence recursive formula
        • 🎥 Geometric sequence review
        • 🎥 Extending geometric sequences
        • 🎥 Using explicit formulas of geometric sequences
        • 🎥 Using recursive formulas of geometric sequences
      • Infinite sequences
        • 🎥 Convergent and divergent sequences
        • 🎥 Worked example: sequence convergence/divergence
        • 🎥 Formal definition for limit of a sequence
        • 🎥 Proving a sequence converges using the formal definition
      • Series review
        • 🎥 Summation notation
        • 🎥 Converting explicit series terms to summation notation
        • 🎥 Converting explicit series terms to summation notation (n ≥ 2)
        • 🎥 Arithmetic series formula
        • 🎥 Worked example: arithmetic series (sigma notation)
        • 🎥 Worked example: arithmetic series (sum expression)
        • 🎥 Worked example: arithmetic series (recursive formula)
      • Finite geometric series
        • 🎥 Geometric series intro
        • 🎥 Geometric series with sigma notation
        • 🎥 Worked example: finite geometric series (sigma notation)
        • 🎥 Worked examples: finite geometric series
        • 🎥 Finite geometric series formula justification
      • Partial sums
        • 🎥 Partial sums intro
        • 🎥 Partial sums: formula for nth term from partial sum
        • 🎥 Partial sums: term value from partial sum
        • 🎥 Infinite series as limit of partial sums
      • Infinite geometric series
        • 🎥 Worked example: convergent geometric series
        • 🎥 Worked example: divergent geometric series
        • 🎥 Infinite geometric series formula intuition
        • 🎥 Proof of infinite geometric series as a limit
        • 🎥 Infinite geometric series word problem: bouncing ball
        • 🎥 Infinite geometric series word problem: repeating decimal
        • 🎥 Convergent & divergent geometric series (with manipulation)
      • Series basics challenge
        • 🎥 Telescoping series
        • 🎥 Divergent telescoping series
        • 🎥 Sum of n squares (part 1)
        • 🎥 Sum of n squares (part 2)
        • 🎥 Sum of n squares (part 3)
        • 🎥 Worked example: evaluating series (advanced)
    • Series convergence & estimation
      • Basic convergence tests
        • 🎥 nth term divergence test
        • 🎥 Integral test
        • 🎥 Worked example: Integral test
        • 🎥 Worked example: p-series
        • 🎥 Proof of p-series convergence criteria
      • Comparison tests
        • 🎥 Direct comparison test
        • 🎥 Worked example: direct comparison test
        • 🎥 Limit comparison test
        • 🎥 Worked example: limit comparison test
        • 🎥 Proof: harmonic series diverges
      • Ratio & alternating series tests
        • 🎥 Ratio test
        • 🎥 Alternating series test
        • 🎥 Conditional & absolute convergence
        • 🎥 Worked example: alternating series
      • Estimating infinite series
        • 🎥 Series estimation with integrals
        • 🎥 Worked example: Series estimation with integrals
        • 🎥 Alternating series remainder
        • 🎥 Worked example: alternating series remainder
    • Power series
      • Power series intro
        • 🎥 Power series intro
        • 🎥 Worked example: interval of convergence
        • 🎥 Integrating power series
        • 🎥 Differentiating power series
        • 🎥 Interval of convergence for derivative and integral
      • Taylor & Maclaurin polynomials intro
        • 🎥 Taylor & Maclaurin polynomials intro (part 1)
        • 🎥 Taylor & Maclaurin polynomials intro (part 2)
        • 🎥 Worked example: Maclaurin polynomial
        • 🎥 Worked example: coefficient in Maclaurin polynomial
        • 🎥 Worked example: coefficient in Taylor polynomial
        • 🎥 Taylor polynomial remainder (part 1)
        • 🎥 Taylor polynomial remainder (part 2)
        • 🎥 Worked example: estimating sin(0.4) using Lagrange error bound
        • 🎥 Worked example: estimating eˣ using Lagrange error bound
        • 🎥 Visualizing Taylor polynomial approximations
        • 🎥 Worked example: Taylor polynomial of derivative function
      • Maclaurin series of sin(x), cos(x), and eˣ
        • 🎥 Maclaurin series of cos(x)
        • 🎥 Maclaurin series of sin(x)
        • 🎥 Maclaurin series of eˣ
        • 🎥 Euler's formula & Euler's identity
        • 🎥 Worked example: power series from cos(x)
        • 🎥 Worked example: cosine function from power series
        • 🎥 Worked example: recognizing function from Taylor series
        • 🎥 Visualizing Taylor series approximations
      • Power series function representation
        • 🎥 Function as a geometric series
        • 🎥 Geometric series as a function
        • 🎥 Geometric series interval of convergence
        • 🎥 Power series of arctan(2x)
        • 🎥 Power series of ln(1+x³)
        • 🎥 Finding function from power series by integrating
      • Challenge series exercises
  • AP Calculus AB
    • Limits and continuity
      • About the course
        • 🎥 Khan Academy in the classroom
        • 🎥 Sal interviews the AP Calculus Lead at College Board
      • Analyzing limits graphically
        • 🎥 Limits intro
        • 🎥 Approximating limits
        • 🎥 Limits from graphs
      • Analyzing limits numerically
        • 🎥 Approximating limits using tables
        • 🎥 Estimating limits from tables
      • One-sided limits
        • 🎥 One-sided limits from graphs
        • 🎥 One-sided limits from graphs: asymptote
        • 🎥 One-sided limits from tables
        • 🎥 Connecting limits and graphical behavior
      • Continuity
        • 🎥 Continuity at a point
        • 🎥 Worked example: Continuity at a point
        • 🎥 Continuity over an interval
        • 🎥 Functions continuous on all real numbers
        • 🎥 Functions continuous at specific x-values
      • Limit rules for sums, differences, products, quotients, & composites
        • 🎥 Limit properties
        • 🎥 Limits of combined functions
        • 🎥 Limits of composite functions
      • Determining limits using direct substitution
        • 🎥 Limits by direct substitution
        • 🎥 Undefined limits by direct substitution
      • Determining limits by factoring & rationalizing
        • 🎥 Limits by factoring
        • 🎥 Limits by rationalizing
      • Trigonometric limits & squeeze theorem
        • 🎥 Limits of trigonometric functions
        • 🎥 Trig limit using pythagorean identity
        • 🎥 Trig limit using double angle identity
        • 🎥 Squeeze theorem intro
        • 🎥 Squeeze theorem example
        • 🎥 Limit of sin(x)/x as x approaches 0
      • Infinite limits intro
        • 🎥 Infinite limits intro
        • 🎥 Infinite limits and asymptotes
        • 🎥 Functions with same limit at infinity
        • 🎥 Analyzing unbounded limits: rational function
        • 🎥 Analyzing unbounded limits: mixed function
      • Analyzing limits at infinity
        • 🎥 Limits at infinity of quotients (Part 1)
        • 🎥 Limits at infinity of quotients (Part 2)
        • 🎥 Limits at infinity of quotients with square roots (odd power)
        • 🎥 Limits at infinity of quotients with square roots (even power)
        • 🎥 Limits at infinity of quotients with trig
        • 🎥 Limits at infinity of quotients with trig (limit undefined)
      • Analyzing functions for discontinuities
        • 🎥 Types of discontinuities
        • 🎥 Analyzing functions for discontinuities (continuous example)
        • 🎥 Analyzing functions for discontinuities (discontinuity example)
        • 🎥 Removing discontinuities (factoring)
        • 🎥 Removing discontinuities (rationalization)
      • Strategy in finding limits
        • 🎥 Strategy in finding limits
      • Optional videos
        • 🎥 Formal definition of limits Part 1: intuition review
        • 🎥 Formal definition of limits Part 2: building the idea
        • 🎥 Formal definition of limits Part 3: the definition
        • 🎥 Formal definition of limits Part 4: using the definition
    • Derivatives introduction
      • The derivative: An intuitive introduction
        • 🎥 Newton, Leibniz, and Usain Bolt
        • 🎥 Derivative as a concept
        • 🎥 Derivative as slope of curve
        • 🎥 Derivative & the direction of a function
      • Estimating derivatives with secant lines and average rate of change
        • 🎥 Secant lines & average rate of change
        • 🎥 Estimating derivatives
      • Secant lines & average rate of change with arbitrary points
        • 🎥 Secant line with arbitrary difference
        • 🎥 Secant line with arbitrary point
        • 🎥 Secant line with arbitrary difference (with simplification)
        • 🎥 Secant line with arbitrary point (with simplification)
      • Formal definition of the derivative as a limit
        • 🎥 Formal definition of the derivative as a limit
        • 🎥 Formal and alternate form of the derivative
        • 🎥 Worked example: Derivative as a limit
        • 🎥 Worked example: Derivative from limit expression
        • 🎥 The derivative of x² at x=3 using the formal definition
        • 🎥 The derivative of x² at any point using the formal definition
      • Differentiability
        • 🎥 Differentiability and continuity
        • 🎥 Differentiability at a point: graphical
        • 🎥 Differentiability at a point: algebraic (function is differentiable)
        • 🎥 Differentiability at a point: algebraic (function isn't differentiable)
      • Tangent lines and local linearity
        • 🎥 The derivative & tangent line equations
        • 🎥 Local linearity
        • 🎥 Local linearity and differentiability
      • Optional videos
        • 🎥 Proof: Differentiability implies continuity
    • Derivative rules
      • Basic differentiation rules
        • 🎥 Basic derivative rules (Part 1)
        • 🎥 Basic derivative rules (Part 2)
        • 🎥 Basic derivative rules: find the error
        • 🎥 Basic derivative rules: table
      • Power rule
        • 🎥 Power rule
      • Polynomial functions differentiation
        • 🎥 Differentiating polynomials
        • 🎥 Differentiating polynomials example
        • 🎥 Tangents of polynomials
      • Derivatives of negative and fractional powers with power rule
        • 🎥 Negative powers differentiation
        • 🎥 Fractional powers differentiation
        • 🎥 Radical functions differentiation intro
        • 🎥 Worked example: Tangent to the graph of 1/x
      • Derivatives of sin(x) and cos(x)
        • 🎥 Derivatives of sin(x) and cos(x)
        • 🎥 Worked example: Derivatives of sin(x) and cos(x)
      • Product rule
        • 🎥 Product rule
        • 🎥 Worked example: Product rule with table
        • 🎥 Worked example: Product rule with mixed implicit & explicit
      • Quotient rule
        • 🎥 Quotient rule
        • 🎥 Worked example: Quotient rule with table
      • Rational functions differentiation
        • 🎥 Differentiating rational functions
        • 🎥 Linear approximation of a rational function
      • Chain rule
        • 🎥 Chain rule
        • 🎥 Identifying composite functions
        • 🎥 Worked example: Derivative of cos³(x) using the chain rule
        • 🎥 Worked example: Derivative of √(3x²-x) using the chain rule
        • 🎥 Common chain rule misunderstandings
        • 🎥 Worked example: Chain rule with table
      • Radical functions differentiation
        • 🎥 Radical functions differentiation
      • Trigonometric functions differentiation
        • 🎥 Derivatives of tan(x) and cot(x)
        • 🎥 Derivatives of sec(x) and csc(x)
        • 🎥 Trig functions differentiation
      • Strategy in differentiating functions
        • 🎥 Differentiating functions: Find the error
        • 🎥 Manipulating functions before differentiation
      • Optional videos
        • 🎥 Justifying the power rule
        • 🎥 Proof of power rule for positive integer powers
        • 🎥 Proof of power rule for square root function
        • 🎥 Limit of sin(x)/x as x approaches 0
        • 🎥 Limit of (1-cos(x))/x as x approaches 0
        • 🎥 Proof of the derivative of sin(x)
        • 🎥 Proof of the derivative of cos(x)
        • 🎥 Product rule proof
        • 🎥 Proof: Differentiability implies continuity
        • 🎥 If function u is continuous at x, then Δu→0 As Δx→0
        • 🎥 Chain rule proof
        • 🎥 Quotient rule from product & chain rules
    • Advanced derivatives
      • Differentiating using multiple rules
        • 🎥 Differentiating using multiple rules: strategy
        • 🎥 Applying the chain rule and product rule
        • 🎥 Applying the chain rule twice
      • Second derivatives
        • 🎥 Second derivatives
      • Implicit differentiation
        • 🎥 Implicit differentiation
        • 🎥 Worked example: Implicit differentiation
        • 🎥 Worked example: Evaluating derivative with implicit differentiation
        • 🎥 Differentiating related functions intro
        • 🎥 Worked example: Differentiating related functions
        • 🎥 Showing explicit and implicit differentiation give same result
      • Derivatives of inverse functions
        • 🎥 Derivatives of inverse functions
        • 🎥 Derivatives of inverse functions: from equation
        • 🎥 Derivatives of inverse functions: from table
      • Derivatives of inverse trigonometric functions
        • 🎥 Derivative of inverse sine
        • 🎥 Derivative of inverse cosine
        • 🎥 Derivative of inverse tangent
      • Derivatives of exponential functions
        • 🎥 𝑒 and compound interest
        • 🎥 𝑒 as a limit
        • 🎥 Derivative of 𝑒ˣ
        • 🎥 Exponential functions differentiation intro
        • 🎥 Exponential functions differentiation
        • 🎥 Derivative of eᶜᵒˢˣ⋅cos(eˣ)
      • Derivatives of logarithmic functions
        • 🎥 Derivative of ln(x)
        • 🎥 Derivative of logₐx (for any positive base a≠1)
        • 🎥 Logarithmic functions differentiation
        • 🎥 Worked example: Derivative of ln(√x) using the chain rule
        • 🎥 Derivative of sin(ln(x²))
        • 🎥 Differentiating logarithmic functions using log properties
      • Optional videos
        • 🎥 Proof: The derivative of 𝑒ˣ is 𝑒ˣ
        • 🎥 Proof: the derivative of ln(x) is 1/x
        • 🎥 Derivative of ln(x) from derivative of 𝑒ˣ and implicit differentiation
    • Existence theorems
      • Intermediate and extreme value theorems
        • 🎥 Existence theorems intro
        • 🎥 Intermediate value theorem
        • 🎥 Extreme value theorem
        • 🎥 Conditions for IVT and EVT: graph
        • 🎥 Conditions for IVT and EVT: table
        • 🎥 Intermediate value theorem example
      • Mean value theorem
        • 🎥 Mean value theorem
        • 🎥 Conditions for MVT: graph
        • 🎥 Conditions for MVT: table
        • 🎥 Mean value theorem example: polynomial
        • 🎥 Mean value theorem example: square root function
        • 🎥 Mean value theorem application
    • Using derivatives to analyze functions
      • L'Hôpital's rule
        • 🎥 L'Hôpital's rule introduction
        • 🎥 L'Hôpital's rule: limit at 0 example
        • 🎥 L'Hôpital's rule: limit at infinity example
      • Justifying properties of functions using the first derivative
        • 🎥 Introduction to minimum and maximum points
        • 🎥 Justification using first derivative
        • 🎥 Calculus based justification for function increasing
        • 🎥 Analyzing a function with its derivative
      • Critical points & intervals of increase or decrease
        • 🎥 Critical points introduction
        • 🎥 Finding critical points
        • 🎥 Finding decreasing interval given the function
        • 🎥 Finding increasing interval given the derivative
      • Finding relative extrema (first derivative test)
        • 🎥 Finding relative extrema (first derivative test)
        • 🎥 Worked example: finding relative extrema
        • 🎥 Analyzing mistakes when finding extrema (example 1)
        • 🎥 Analyzing mistakes when finding extrema (example 2)
      • Finding absolute extrema
        • 🎥 Finding absolute extrema on a closed interval
        • 🎥 Absolute minima & maxima (entire domain)
      • Concavity & inflection points intro
        • 🎥 Concavity introduction
        • 🎥 Analyzing concavity (graphical)
        • 🎥 Inflection points introduction
        • 🎥 Inflection points (graphical)
      • Justifying properties of functions using the second derivative
        • 🎥 Inflection points from graphs of function & derivatives
        • 🎥 Justification using second derivative: maximum point
        • 🎥 Justification using second derivative: inflection point
        • 🎥 Worked example: Inflection points from first derivative
        • 🎥 Worked example: Inflection points from second derivative
        • 🎥 Second derivative test
      • Finding inflection points & analyzing concavity
        • 🎥 Analyzing concavity (algebraic)
        • 🎥 Inflection points (algebraic)
        • 🎥 Mistakes when finding inflection points: second derivative undefined
        • 🎥 Mistakes when finding inflection points: not checking candidates
      • Connecting ƒ, ƒ’, and ƒ’’
        • 🎥 The graphical relationship between a function & its derivative (part 1)
        • 🎥 The graphical relationship between a function & its derivative (part 2)
        • 🎥 Matching functions & their derivatives graphically
        • 🎥 Connecting f, f', and f'' graphically
        • 🎥 Connecting f, f', and f'' graphically (another example)
        • 🎥 Curve sketching with calculus: polynomial
        • 🎥 Curve sketching with calculus: logarithm
      • Optional videos
        • 🎥 Proof of special case of l'Hôpital's rule
    • Applications of derivatives
      • Rates of change in applied contexts
        • 🎥 Applied rate of change: forgetfulness
        • 🎥 Marginal cost & differential calculus
      • Related rates intro
        • 🎥 Related rates intro
        • 🎥 Analyzing related rates problems: expressions
        • 🎥 Analyzing related rates problems: equations (Pythagoras)
        • 🎥 Analyzing related rates problems: equations (trig)
      • Related rates problems
        • 🎥 Related rates: Approaching cars
        • 🎥 Related rates: Falling ladder
        • 🎥 Related rates: water pouring into a cone
        • 🎥 Related rates: shadow
        • 🎥 Related rates: balloon
      • Optimization
        • 🎥 Optimization: sum of squares
        • 🎥 Optimization: box volume (Part 1)
        • 🎥 Optimization: box volume (Part 2)
        • 🎥 Optimization: profit
        • 🎥 Optimization: cost of materials
        • 🎥 Optimization: area of triangle & square (Part 1)
        • 🎥 Optimization: area of triangle & square (Part 2)
        • 🎥 Optimization problem: extreme normaline to y=x²
      • Motion problems
        • 🎥 Motion problems: when a particle is speeding up
        • 🎥 Motion problems: finding the maximum acceleration
    • Accumulation and Riemann sums
      • Definite integrals intro
        • 🎥 Introduction to integral calculus
        • 🎥 Definite integrals intro
        • 🎥 Worked example: Definite integral by thinking about the function's graph
      • Left & right Riemann sums
        • 🎥 Riemann approximation introduction
        • 🎥 Over- and under-estimation of Riemann sums
        • 🎥 Worked example: finding a Riemann sum using a table
        • 🎥 Worked example: over- and under-estimation of Riemann sums
      • Midpoint & trapezoidal sums
        • 🎥 Midpoint sums
        • 🎥 Trapezoidal sums
      • Summation notation
        • 🎥 Summation notation
        • 🎥 Worked examples: Summation notation
      • Riemann sums in summation notation
        • 🎥 Riemann sums in summation notation
        • 🎥 Worked example: Riemann sums in summation notation
      • Definite integral as the limit of a Riemann sum
        • 🎥 Definite integral as the limit of a Riemann sum
        • 🎥 Worked example: Rewriting definite integral as limit of Riemann sum
        • 🎥 Worked example: Rewriting limit of Riemann sum as definite integral
      • Definite integrals properties
        • 🎥 Breaking up integral interval
        • 🎥 Definite integral over a single point
        • 🎥 Switching bounds of definite integral
        • 🎥 Worked examples: Definite integral properties 1
        • 🎥 Integrating sums of functions
        • 🎥 Integrating scaled version of function
        • 🎥 Worked examples: Definite integral properties 2
        • 🎥 Definite integral properties (no graph): function combination
        • 🎥 Definite integral properties (no graph): breaking interval
      • Functions defined by integrals
        • 🎥 Functions defined by integrals
        • 🎥 Functions defined by integrals: switched interval
    • Antiderivatives and the fundamental theorem of calculus
      • Antiderivatives and indefinite integrals intro
        • 🎥 Antiderivatives and indefinite integrals
      • Fundamental theorem of calculus
        • 🎥 Fundamental theorem of calculus (Part 1)
        • 🎥 Fundamental theorem of calculus (Part 2)
        • 🎥 Worked example: Finding derivative with fundamental theorem of calculus
        • 🎥 Finding derivative with fundamental theorem of calculus: x is on lower bound
        • 🎥 Finding derivative with fundamental theorem of calculus: x is on both bounds
      • Indefinite integrals: reverse power rule
        • 🎥 Reverse power rule
        • 🎥 Indefinite integrals: sums & multiples
        • 🎥 Rewriting before integrating
      • Indefinite integrals of sin(x), cos(x), eˣ, and 1/x
        • 🎥 Indefinite integral of 1/x
        • 🎥 Indefinite integrals of sin(x), cos(x), and eˣ
      • Finding definite integrals
        • 🎥 Definite integrals: reverse power rule
        • 🎥 Definite integral of rational function
        • 🎥 Definite integral of radical function
        • 🎥 Definite integral of trig function
        • 🎥 Definite integral involving natural log
        • 🎥 Definite integral of piecewise function
        • 🎥 Definite integral of absolute value function
      • 𝘶-substitution
        • 🎥 𝘶-substitution intro
        • 🎥 𝘶-substitution: multiplying by a constant
        • 🎥 𝘶-substitution: defining 𝘶
        • 🎥 𝘶-substitution: defining 𝘶 (more examples)
        • 🎥 𝘶-substitution: rational function
        • 🎥 𝘶-substitution: logarithmic function
        • 🎥 𝘶-substitution: definite integrals
        • 🎥 𝘶-substitution: definite integral of exponential function
      • Average value of a function
        • 🎥 Average value over a closed interval
        • 🎥 Calculating average value of function over interval
        • 🎥 Mean value theorem for integrals
      • Interpreting behavior of 𝑔 from graph of 𝑔'=ƒ
        • 🎥 Interpreting behavior of 𝑔 from graph of 𝑔'=ƒ
        • 🎥 Visually determining antiderivative
      • Optional videos
        • 🎥 Proof of fundamental theorem of calculus
        • 🎥 Intuition for second part of fundamental theorem of calculus
    • Differential equations
      • Differential equations intro
        • 🎥 Differential equations introduction
        • 🎥 Writing a differential equation
      • Separable differential equations
        • 🎥 Separable equations introduction
        • 🎥 Addressing treating differentials algebraically
        • 🎥 Worked example: separable differential equations
        • 🎥 Worked example: identifying separable equations
      • Differential equations: specific solutions
        • 🎥 Finding specific antiderivatives: rational function
        • 🎥 Finding specific antiderivatives: exponential function
        • 🎥 Worked example: finding a specific solution to a separable equation
        • 🎥 Worked example: separable equation with an implicit solution
      • Slope fields
        • 🎥 Slope fields introduction
        • 🎥 Worked example: equation from slope field
        • 🎥 Worked example: slope field from equation
        • 🎥 Worked example: forming a slope field
        • 🎥 Solutions from slope field
        • 🎥 Worked example: range of solution curve from slope field
      • Exponential models
        • 🎥 Exponential models & differential equations (Part 1)
        • 🎥 Exponential models & differential equations (Part 2)
        • 🎥 Worked example: exponential solution to differential equation
    • Applications of definite integrals
      • Word problems involving definite integrals
        • 🎥 Area under rate function gives the net change
        • 🎥 Interpreting definite integral as net change
        • 🎥 Worked examples: interpreting definite integrals in context
        • 🎥 Analyzing problems involving definite integrals
        • 🎥 Worked example: problem involving definite integral (graphical)
        • 🎥 Worked example: problem involving definite integral (algebraic)
      • Motion problems (with integrals)
        • 🎥 Motion problems with integrals: displacement vs. distance
        • 🎥 Analyzing motion problems: position
        • 🎥 Analyzing motion problems: total distance traveled
        • 🎥 Worked example: motion problems (with definite integrals)
        • 🎥 Average acceleration over interval
      • Area: vertical areas between curves
        • 🎥 Area between a curve and the x-axis
        • 🎥 Area between a curve and the x-axis: negative area
        • 🎥 Area between curves
        • 🎥 Worked example: area between curves
      • Area: horizontal areas between curves
        • 🎥 Area between a curve and and the 𝘺-axis
        • 🎥 Horizontal area between curves
      • Volume: known cross sections
        • 🎥 Volume with cross sections: semicircle
        • 🎥 Volume with cross sections: triangle
      • Volume: disc method
        • 🎥 Disc method around x-axis
        • 🎥 Generalizing disc method around x-axis
        • 🎥 Disc method around y-axis
        • 🎥 Disc method rotation around horizontal line
        • 🎥 Disc method rotating around vertical line
        • 🎥 Calculating integral disc around vertical line
      • Volume: washer method
        • 🎥 Solid of revolution between two functions (leading up to the washer method)
        • 🎥 Generalizing the washer method
        • 🎥 Washer method rotating around horizontal line (not x-axis), part 1
        • 🎥 Washer method rotating around horizontal line (not x-axis), part 2
        • 🎥 Washer method rotating around vertical line (not y-axis), part 1
        • 🎥 Washer method rotating around vertical line (not y-axis), part 2
      • Volume: shell method (optional)
        • 🎥 Shell method for rotating around vertical line
        • 🎥 Evaluating integral for shell method example
        • 🎥 Shell method for rotating around horizontal line
        • 🎥 Shell method with two functions of x
        • 🎥 Calculating integral with shell method
        • 🎥 Shell method with two functions of y
        • 🎥 Part 2 of shell method with 2 functions of y
    • AP Calculus AB solved exams
      • AP Calculus AB 2017
        • 🎥 2017 AP Calculus AB/BC 4a
        • 🎥 2017 AP Calculus AB/BC 4b
        • 🎥 2017 AP Calculus AB/BC 4c
      • AP Calculus AB 2015
        • 🎥 2015 AP Calculus AB/BC 1ab
        • 🎥 2015 AP Calculus AB/BC 1c
        • 🎥 2015 AP Calculus AB/BC 1d
        • 🎥 2015 AP Calculus AB 2a
        • 🎥 2015 AP Calculus AP 2b
        • 🎥 2015 AP Calculus 2c
        • 🎥 2015 AP Calculus AB/BC 3a
        • 🎥 2015 AP Calculus AB/BC 3b
        • 🎥 2015 AP Calculus AB/BC 3cd
        • 🎥 2015 AP Calculus AB/BC 4ab
        • 🎥 2015 AP Calculus AB/BC 4cd
        • 🎥 2015 AP Calculus AB 5a
        • 🎥 2015 AP Calculus AB 5b
        • 🎥 2015 AP Calculus AB 5c
        • 🎥 2015 AP Calculus AB 5d
        • 🎥 2015 AP Calculus AB 6a
        • 🎥 2015 AP Calculus AB 6b
        • 🎥 2015 AP Calculus AB 6c
      • AP Calculus AB 2011
        • 🎥 2011 Calculus AB free response #1a
        • 🎥 2011 Calculus AB Free Response #1 parts b c d
        • 🎥 2011 Calculus AB free response #2 (a & b)
        • 🎥 2011 Calculus AB free response #2 (c & d)
        • 🎥 2011 Calculus AB free response #3 (a & b)
        • 🎥 2011 Calculus AB free response #3 (c)
        • 🎥 2011 Calculus AB free response #4a
        • 🎥 2011 Calculus AB free response #4b
        • 🎥 2011 Calculus AB free response #4c
        • 🎥 2011 Calculus AB free response #4d
        • 🎥 2011 Calculus AB free response #5a
        • 🎥 2011 Calculus AB free response #5b
        • 🎥 2011 Calculus AB free response #5c.
        • 🎥 2011 Calculus AB free response #6a
        • 🎥 2011 Calculus AB free response #6b
        • 🎥 2011 Calculus AB free response #6c
  • AP Calculus BC
    • Limits and continuity
      • About the course
        • 🎥 Khan Academy in the classroom
        • 🎥 Sal interviews the AP Calculus Lead at College Board
      • Analyzing limits graphically
        • 🎥 Limits intro
        • 🎥 Approximating limits
        • 🎥 Limits from graphs
      • Analyzing limits numerically
        • 🎥 Approximating limits using tables
        • 🎥 Estimating limits from tables
      • One-sided limits
        • 🎥 One-sided limits from graphs
        • 🎥 One-sided limits from graphs: asymptote
        • 🎥 One-sided limits from tables
        • 🎥 Connecting limits and graphical behavior
      • Continuity
        • 🎥 Continuity at a point
        • 🎥 Worked example: Continuity at a point
        • 🎥 Continuity over an interval
        • 🎥 Functions continuous on all real numbers
        • 🎥 Functions continuous at specific x-values
      • Limit rules for sums, differences, products, quotients, & composites
        • 🎥 Limit properties
        • 🎥 Limits of combined functions
        • 🎥 Limits of composite functions
      • Determining limits using direct substitution
        • 🎥 Limits by direct substitution
        • 🎥 Undefined limits by direct substitution
      • Determining limits by factoring & rationalizing
        • 🎥 Limits by factoring
        • 🎥 Limits by rationalizing
      • Trigonometric limits & squeeze theorem
        • 🎥 Limits of trigonometric functions
        • 🎥 Trig limit using pythagorean identity
        • 🎥 Trig limit using double angle identity
        • 🎥 Squeeze theorem intro
        • 🎥 Squeeze theorem example
        • 🎥 Limit of sin(x)/x as x approaches 0
      • Infinite limits intro
        • 🎥 Infinite limits intro
        • 🎥 Infinite limits and asymptotes
        • 🎥 Functions with same limit at infinity
        • 🎥 Analyzing unbounded limits: rational function
        • 🎥 Analyzing unbounded limits: mixed function
      • Analyzing limits at infinity
        • 🎥 Limits at infinity of quotients (Part 1)
        • 🎥 Limits at infinity of quotients (Part 2)
        • 🎥 Limits at infinity of quotients with square roots (odd power)
        • 🎥 Limits at infinity of quotients with square roots (even power)
        • 🎥 Limits at infinity of quotients with trig
        • 🎥 Limits at infinity of quotients with trig (limit undefined)
      • Analyzing functions for discontinuities
        • 🎥 Types of discontinuities
        • 🎥 Analyzing functions for discontinuities (continuous example)
        • 🎥 Analyzing functions for discontinuities (discontinuity example)
        • 🎥 Removing discontinuities (factoring)
        • 🎥 Removing discontinuities (rationalization)
      • Strategy in finding limits
        • 🎥 Strategy in finding limits
      • Optional videos
        • 🎥 Formal definition of limits Part 1: intuition review
        • 🎥 Formal definition of limits Part 2: building the idea
        • 🎥 Formal definition of limits Part 3: the definition
        • 🎥 Formal definition of limits Part 4: using the definition
    • Derivatives introduction
      • The derivative: An intuitive introduction
        • 🎥 Newton, Leibniz, and Usain Bolt
        • 🎥 Derivative as a concept
        • 🎥 Derivative as slope of curve
        • 🎥 Derivative & the direction of a function
      • Estimating derivatives with secant lines and average rate of change
        • 🎥 Secant lines & average rate of change
        • 🎥 Estimating derivatives
      • Secant lines & average rate of change with arbitrary points
        • 🎥 Secant line with arbitrary difference
        • 🎥 Secant line with arbitrary point
        • 🎥 Secant line with arbitrary difference (with simplification)
        • 🎥 Secant line with arbitrary point (with simplification)
      • Formal definition of the derivative as a limit
        • 🎥 Formal definition of the derivative as a limit
        • 🎥 Formal and alternate form of the derivative
        • 🎥 Worked example: Derivative as a limit
        • 🎥 Worked example: Derivative from limit expression
        • 🎥 The derivative of x² at x=3 using the formal definition
        • 🎥 The derivative of x² at any point using the formal definition
      • Differentiability
        • 🎥 Differentiability and continuity
        • 🎥 Differentiability at a point: graphical
        • 🎥 Differentiability at a point: algebraic (function is differentiable)
        • 🎥 Differentiability at a point: algebraic (function isn't differentiable)
      • Tangent lines and local linearity
        • 🎥 The derivative & tangent line equations
        • 🎥 Local linearity
        • 🎥 Local linearity and differentiability
      • Optional videos
        • 🎥 Proof: Differentiability implies continuity
    • Derivative rules
      • Basic differentiation rules
        • 🎥 Basic derivative rules (Part 1)
        • 🎥 Basic derivative rules (Part 2)
        • 🎥 Basic derivative rules: find the error
        • 🎥 Basic derivative rules: table
      • Power rule
        • 🎥 Power rule
      • Polynomial functions differentiation
        • 🎥 Differentiating polynomials
        • 🎥 Differentiating polynomials example
        • 🎥 Tangents of polynomials
      • Derivatives of negative and fractional powers with power rule
        • 🎥 Negative powers differentiation
        • 🎥 Fractional powers differentiation
        • 🎥 Radical functions differentiation intro
        • 🎥 Worked example: Tangent to the graph of 1/x
      • Derivatives of sin(x) and cos(x)
        • 🎥 Derivatives of sin(x) and cos(x)
        • 🎥 Worked example: Derivatives of sin(x) and cos(x)
      • Product rule
        • 🎥 Product rule
        • 🎥 Differentiating products
        • 🎥 Worked example: Product rule with table
        • 🎥 Worked example: Product rule with mixed implicit & explicit
      • Quotient rule
        • 🎥 Quotient rule
        • 🎥 Worked example: Quotient rule with table
      • Rational functions differentiation
        • 🎥 Differentiating rational functions
        • 🎥 Linear approximation of a rational function
      • Chain rule
        • 🎥 Chain rule
        • 🎥 Identifying composite functions
        • 🎥 Worked example: Derivative of cos³(x) using the chain rule
        • 🎥 Worked example: Derivative of √(3x²-x) using the chain rule
        • 🎥 Common chain rule misunderstandings
        • 🎥 Worked example: Chain rule with table
      • Radical functions differentiation
        • 🎥 Radical functions differentiation
      • Trigonometric functions differentiation
        • 🎥 Derivatives of tan(x) and cot(x)
        • 🎥 Derivatives of sec(x) and csc(x)
        • 🎥 Trig functions differentiation
      • Strategy in differentiating functions
        • 🎥 Differentiating functions: Find the error
        • 🎥 Manipulating functions before differentiation
      • Optional videos
        • 🎥 Justifying the power rule
        • 🎥 Proof of power rule for positive integer powers
        • 🎥 Proof of power rule for square root function
        • 🎥 Limit of sin(x)/x as x approaches 0
        • 🎥 Limit of (1-cos(x))/x as x approaches 0
        • 🎥 Proof of the derivative of sin(x)
        • 🎥 Proof of the derivative of cos(x)
        • 🎥 Product rule proof
        • 🎥 Proof: Differentiability implies continuity
        • 🎥 If function u is continuous at x, then Δu→0 As Δx→0
        • 🎥 Chain rule proof
        • 🎥 Quotient rule from product & chain rules
    • Advanced derivatives
      • Differentiating using multiple rules
        • 🎥 Differentiating using multiple rules: strategy
        • 🎥 Applying the chain rule and product rule
        • 🎥 Applying the chain rule twice
      • Second derivatives
        • 🎥 Second derivatives
      • Implicit differentiation
        • 🎥 Implicit differentiation
        • 🎥 Worked example: Implicit differentiation
        • 🎥 Worked example: Evaluating derivative with implicit differentiation
        • 🎥 Differentiating related functions intro
        • 🎥 Worked example: Differentiating related functions
        • 🎥 Showing explicit and implicit differentiation give same result
      • Derivatives of inverse functions
        • 🎥 Derivatives of inverse functions
        • 🎥 Derivatives of inverse functions: from equation
        • 🎥 Derivatives of inverse functions: from table
      • Derivatives of inverse trigonometric functions
        • 🎥 Derivative of inverse sine
        • 🎥 Derivative of inverse cosine
        • 🎥 Derivative of inverse tangent
      • Derivatives of exponential functions
        • 🎥 𝑒 and compound interest
        • 🎥 𝑒 as a limit
        • 🎥 Derivative of 𝑒ˣ
        • 🎥 Exponential functions differentiation intro
        • 🎥 Exponential functions differentiation
        • 🎥 Derivative of eᶜᵒˢˣ⋅cos(eˣ)
      • Derivatives of logarithmic functions
        • 🎥 Derivative of ln(x)
        • 🎥 Derivative of logₐx (for any positive base a≠1)
        • 🎥 Logarithmic functions differentiation
        • 🎥 Worked example: Derivative of ln(√x) using the chain rule
        • 🎥 Derivative of sin(ln(x²))
        • 🎥 Differentiating logarithmic functions using log properties
      • Parametric & vector-valued function differentiation
        • 🎥 Parametric functions intro
        • 🎥 Parametric functions differentiation
        • 🎥 Vector-valued functions intro
        • 🎥 Vector-valued functions differentiation
        • 🎥 Second derivatives (parametric functions)
        • 🎥 Second derivatives (vector-valued functions)
      • Polar functions differentiation
        • 🎥 Polar functions derivatives
        • 🎥 Worked example: differentiating polar functions
      • Optional videos
        • 🎥 Proof: The derivative of 𝑒ˣ is 𝑒ˣ
        • 🎥 Proof: the derivative of ln(x) is 1/x
        • 🎥 Derivative of ln(x) from derivative of 𝑒ˣ and implicit differentiation
        • 🎥 Derivatives expressed as limits
    • Existence theorems
      • Intermediate and extreme value theorems
        • 🎥 Existence theorems intro
        • 🎥 Intermediate value theorem
        • 🎥 Extreme value theorem
        • 🎥 Conditions for IVT and EVT: graph
        • 🎥 Conditions for IVT and EVT: table
        • 🎥 Intermediate value theorem example
      • Mean value theorem
        • 🎥 Mean value theorem
        • 🎥 Conditions for MVT: graph
        • 🎥 Conditions for MVT: table
        • 🎥 Mean value theorem example: polynomial
        • 🎥 Mean value theorem example: square root function
        • 🎥 Mean value theorem application
    • Using derivatives to analyze functions
      • L'Hôpital's rule
        • 🎥 L'Hôpital's rule introduction
        • 🎥 L'Hôpital's rule: limit at 0 example
        • 🎥 L'Hôpital's rule: limit at infinity example
      • Justifying properties of functions using the first derivative
        • 🎥 Introduction to minimum and maximum points
        • 🎥 Justification using first derivative
        • 🎥 Calculus based justification for function increasing
        • 🎥 Analyzing a function with its derivative
      • Critical points & intervals of increase or decrease
        • 🎥 Critical points introduction
        • 🎥 Finding critical points
        • 🎥 Finding decreasing interval given the function
        • 🎥 Finding increasing interval given the derivative
      • Finding relative extrema (first derivative test)
        • 🎥 Finding relative extrema (first derivative test)
        • 🎥 Worked example: finding relative extrema
        • 🎥 Analyzing mistakes when finding extrema (example 1)
        • 🎥 Analyzing mistakes when finding extrema (example 2)
      • Finding absolute extrema
        • 🎥 Finding absolute extrema on a closed interval
        • 🎥 Absolute minima & maxima (entire domain)
      • Concavity & inflection points intro
        • 🎥 Concavity introduction
        • 🎥 Analyzing concavity (graphical)
        • 🎥 Inflection points introduction
        • 🎥 Inflection points (graphical)
      • Justifying properties of functions using the second derivative
        • 🎥 Inflection points from graphs of function & derivatives
        • 🎥 Justification using second derivative: maximum point
        • 🎥 Justification using second derivative: inflection point
        • 🎥 Worked example: Inflection points from first derivative
        • 🎥 Worked example: Inflection points from second derivative
        • 🎥 Second derivative test
      • Finding inflection points & analyzing concavity
        • 🎥 Analyzing concavity (algebraic)
        • 🎥 Inflection points (algebraic)
        • 🎥 Mistakes when finding inflection points: second derivative undefined
        • 🎥 Mistakes when finding inflection points: not checking candidates
      • Connecting ƒ, ƒ’, and ƒ’’
        • 🎥 The graphical relationship between a function & its derivative (part 1)
        • 🎥 The graphical relationship between a function & its derivative (part 2)
        • 🎥 Matching functions & their derivatives graphically
        • 🎥 Connecting f, f', and f'' graphically
        • 🎥 Connecting f, f', and f'' graphically (another example)
        • 🎥 Curve sketching with calculus: polynomial
        • 🎥 Curve sketching with calculus: logarithm
      • Optional videos
        • 🎥 Proof of special case of l'Hôpital's rule
    • Applications of derivatives
      • Rates of change in applied contexts
        • 🎥 Applied rate of change: forgetfulness
        • 🎥 Marginal cost & differential calculus
      • Related rates intro
        • 🎥 Related rates intro
        • 🎥 Analyzing related rates problems: expressions
        • 🎥 Analyzing related rates problems: equations (Pythagoras)
        • 🎥 Analyzing related rates problems: equations (trig)
      • Related rates problems
        • 🎥 Related rates: Approaching cars
        • 🎥 Related rates: Falling ladder
        • 🎥 Related rates: water pouring into a cone
        • 🎥 Related rates: shadow
        • 🎥 Related rates: balloon
      • Optimization
        • 🎥 Optimization: sum of squares
        • 🎥 Optimization: box volume (Part 1)
        • 🎥 Optimization: box volume (Part 2)
        • 🎥 Optimization: profit
        • 🎥 Optimization: cost of materials
        • 🎥 Optimization: area of triangle & square (Part 1)
        • 🎥 Optimization: area of triangle & square (Part 2)
        • 🎥 Optimization problem: extreme normaline to y=x²
      • Planar motion
        • 🎥 Planar motion example: acceleration vector
        • 🎥 Motion along a curve: finding rate of change
        • 🎥 Motion along a curve: finding velocity magnitude
    • Accumulation and Riemann sums
      • Definite integrals intro
        • 🎥 Introduction to integral calculus
        • 🎥 Definite integrals intro
        • 🎥 Worked example: Definite integral by thinking about the function's graph
      • Left & right Riemann sums
        • 🎥 Riemann approximation introduction
        • 🎥 Over- and under-estimation of Riemann sums
        • 🎥 Worked example: finding a Riemann sum using a table
        • 🎥 Worked example: over- and under-estimation of Riemann sums
      • Midpoint & trapezoidal sums
        • 🎥 Midpoint sums
        • 🎥 Trapezoidal sums
      • Summation notation
        • 🎥 Summation notation
        • 🎥 Worked examples: Summation notation
      • Riemann sums in summation notation
        • 🎥 Riemann sums in summation notation
        • 🎥 Worked example: Riemann sums in summation notation
      • Definite integral as the limit of a Riemann sum
        • 🎥 Definite integral as the limit of a Riemann sum
        • 🎥 Worked example: Rewriting definite integral as limit of Riemann sum
        • 🎥 Worked example: Rewriting limit of Riemann sum as definite integral
      • Definite integrals properties
        • 🎥 Breaking up integral interval
        • 🎥 Definite integral over a single point
        • 🎥 Switching bounds of definite integral
        • 🎥 Worked examples: Definite integral properties 1
        • 🎥 Integrating sums of functions
        • 🎥 Integrating scaled version of function
        • 🎥 Worked examples: Definite integral properties 2
        • 🎥 Definite integral properties (no graph): function combination
        • 🎥 Definite integral properties (no graph): breaking interval
      • Functions defined by integrals
        • 🎥 Functions defined by integrals
        • 🎥 Functions defined by integrals: switched interval
    • Antiderivatives and the fundamental theorem of calculus
      • Antiderivatives and indefinite integrals intro
        • 🎥 Antiderivatives and indefinite integrals
      • Fundamental theorem of calculus
        • 🎥 Fundamental theorem of calculus (Part 1)
        • 🎥 Fundamental theorem of calculus (Part 2)
        • 🎥 Worked example: Finding derivative with fundamental theorem of calculus
        • 🎥 Finding derivative with fundamental theorem of calculus: x is on lower bound
        • 🎥 Finding derivative with fundamental theorem of calculus: x is on both bounds
      • Indefinite integrals: reverse power rule
        • 🎥 Reverse power rule
        • 🎥 Indefinite integrals: sums & multiples
        • 🎥 Rewriting before integrating
      • Indefinite integrals of sin(x), cos(x), eˣ, and 1/x
        • 🎥 Indefinite integral of 1/x
        • 🎥 Indefinite integrals of sin(x), cos(x), and eˣ
      • Finding definite integrals
        • 🎥 Definite integrals: reverse power rule
        • 🎥 Definite integral of rational function
        • 🎥 Definite integral of radical function
        • 🎥 Definite integral of trig function
        • 🎥 Definite integral involving natural log
        • 🎥 Definite integral of piecewise function
        • 🎥 Definite integral of absolute value function
      • Improper integrals
        • 🎥 Introduction to improper integrals
        • 🎥 Improper integral with two infinite bounds
        • 🎥 Divergent improper integral
      • 𝘶-substitution
        • 🎥 𝘶-substitution intro
        • 🎥 𝘶-substitution: multiplying by a constant
        • 🎥 𝘶-substitution: defining 𝘶
        • 🎥 𝘶-substitution: defining 𝘶 (more examples)
        • 🎥 𝘶-substitution: rational function
        • 🎥 𝘶-substitution: logarithmic function
        • 🎥 𝘶-substitution: definite integrals
        • 🎥 𝘶-substitution: definite integral of exponential function
      • Integration by parts
        • 🎥 Integration by parts intro
        • 🎥 Integration by parts: ∫x⋅cos(x)dx
        • 🎥 Integration by parts: ∫ln(x)dx
        • 🎥 Integration by parts: ∫x²⋅𝑒ˣdx
        • 🎥 Integration by parts: ∫𝑒ˣ⋅cos(x)dx
        • 🎥 Integration by parts: definite integrals
      • Partial fraction expansion
        • 🎥 Partial fraction expansion to evaluate integral
        • 🎥 Dividing expressions to evaluate integral
      • Average value of a function
        • 🎥 Average value over a closed interval
        • 🎥 Calculating average value of function over interval
        • 🎥 Mean value theorem for integrals
      • Interpreting behavior of 𝑔 from graph of 𝑔'=ƒ
        • 🎥 Interpreting behavior of 𝑔 from graph of 𝑔'=ƒ
        • 🎥 Visually determining antiderivative
      • Optional videos
        • 🎥 Proof of fundamental theorem of calculus
        • 🎥 Intuition for second part of fundamental theorem of calculus
    • Differential equations
      • Differential equations intro
        • 🎥 Differential equations introduction
        • 🎥 Writing a differential equation
      • Separable differential equations
        • 🎥 Separable equations introduction
        • 🎥 Addressing treating differentials algebraically
        • 🎥 Worked example: separable differential equations
        • 🎥 Worked example: separable differential equation (with taking log of both sides)
        • 🎥 Worked example: separable differential equation (with taking exp of both sides)
        • 🎥 Worked example: identifying separable equations
      • Differential equations: specific solutions
        • 🎥 Finding specific antiderivatives: rational function
        • 🎥 Finding specific antiderivatives: exponential function
        • 🎥 Worked example: finding a specific solution to a separable equation
        • 🎥 Worked example: separable equation with an implicit solution
      • Slope fields
        • 🎥 Slope fields introduction
        • 🎥 Worked example: equation from slope field
        • 🎥 Worked example: slope field from equation
        • 🎥 Worked example: forming a slope field
        • 🎥 Solutions from slope field
        • 🎥 Worked example: range of solution curve from slope field
      • Euler's Method
        • 🎥 Euler's method
        • 🎥 Worked example: Euler's method
      • Exponential models
        • 🎥 Exponential models & differential equations (Part 1)
        • 🎥 Exponential models & differential equations (Part 2)
        • 🎥 Worked example: exponential solution to differential equation
      • Logistic models
        • 🎥 Logistic models & differential equations (Part 1)
        • 🎥 Logistic models & differential equations (Part 2)
        • 🎥 Worked example: Logistic model word problem
        • 🎥 Logistic equations (Part 1)
        • 🎥 Logistic equations (Part 2)
        • 🎥 Worked example: logistic model equations
    • Applications of definite integrals
      • Word problems involving definite integrals
        • 🎥 Area under rate function gives the net change
        • 🎥 Interpreting definite integral as net change
        • 🎥 Worked examples: interpreting definite integrals in context
        • 🎥 Analyzing problems involving definite integrals
        • 🎥 Worked example: problem involving definite integral (graphical)
        • 🎥 Worked example: problem involving definite integral (algebraic)
      • Motion problems (with integrals)
        • 🎥 Motion problems with integrals: displacement vs. distance
        • 🎥 Analyzing motion problems: position
        • 🎥 Analyzing motion problems: total distance traveled
        • 🎥 Worked example: motion problems (with definite integrals)
        • 🎥 Planar motion (with integrals)
        • 🎥 Average acceleration over interval
      • Area: vertical areas between curves
        • 🎥 Area between a curve and the x-axis
        • 🎥 Area between a curve and the x-axis: negative area
        • 🎥 Area between curves
        • 🎥 Worked example: area between curves
      • Area: horizontal areas between curves
        • 🎥 Area between a curve and and the 𝘺-axis
        • 🎥 Horizontal area between curves
      • Area: polar curves
        • 🎥 Area bounded by polar curves
        • 🎥 Worked example: Area enclosed by cardioid
        • 🎥 Worked example: Area between two polar graphs
        • 🎥 Evaluating definite integral with calculator
      • Arc length
        • 🎥 Arc length intro
        • 🎥 Worked example: arc length
        • 🎥 Parametric curve arc length
        • 🎥 Worked example: Parametric arc length
      • Volume: known cross sections
        • 🎥 Volume with cross sections: semicircle
        • 🎥 Volume with cross sections: triangle
      • Volume: disc method
        • 🎥 Disc method around x-axis
        • 🎥 Generalizing disc method around x-axis
        • 🎥 Disc method around y-axis
        • 🎥 Disc method rotation around horizontal line
        • 🎥 Disc method rotating around vertical line
        • 🎥 Calculating integral disc around vertical line
      • Volume: washer method
        • 🎥 Solid of revolution between two functions (leading up to the washer method)
        • 🎥 Generalizing the washer method
        • 🎥 Washer method rotating around horizontal line (not x-axis), part 1
        • 🎥 Washer method rotating around horizontal line (not x-axis), part 2
        • 🎥 Washer method rotating around vertical line (not y-axis), part 1
        • 🎥 Washer method rotating around vertical line (not y-axis), part 2
      • Volume: shell method (optional)
        • 🎥 Shell method for rotating around vertical line
        • 🎥 Evaluating integral for shell method example
        • 🎥 Shell method for rotating around horizontal line
        • 🎥 Shell method with two functions of x
        • 🎥 Calculating integral with shell method
        • 🎥 Shell method with two functions of y
        • 🎥 Part 2 of shell method with 2 functions of y
    • Series
      • Infinite sequences
        • 🎥 Sequences intro
        • 🎥 Worked example: sequence explicit formula
        • 🎥 Worked example: sequence recursive formula
        • 🎥 Convergent and divergent sequences
        • 🎥 Worked example: sequence convergence/divergence
      • Finite geometric series
        • 🎥 Geometric series intro
        • 🎥 Geometric series with sigma notation
        • 🎥 Worked example: finite geometric series (sigma notation)
        • 🎥 Worked examples: finite geometric series
      • Partial sums
        • 🎥 Partial sums intro
        • 🎥 Partial sums: formula for nth term from partial sum
        • 🎥 Partial sums: term value from partial sum
        • 🎥 Infinite series as limit of partial sums
      • Infinite geometric series
        • 🎥 Worked example: convergent geometric series
        • 🎥 Worked example: divergent geometric series
        • 🎥 Infinite geometric series word problem: bouncing ball
        • 🎥 Infinite geometric series word problem: repeating decimal
      • Basic convergence tests
        • 🎥 nth term divergence test
        • 🎥 Integral test
        • 🎥 Worked example: Integral test
        • 🎥 Worked example: p-series
      • Comparison tests
        • 🎥 Direct comparison test
        • 🎥 Worked example: direct comparison test
        • 🎥 Limit comparison test
        • 🎥 Worked example: limit comparison test
        • 🎥 Proof: harmonic series diverges
      • Ratio & alternating series tests
        • 🎥 Ratio test
        • 🎥 Alternating series test
        • 🎥 Conditional & absolute convergence
        • 🎥 Worked example: alternating series
      • Estimating infinite series
        • 🎥 Series estimation with integrals
        • 🎥 Worked example: Series estimation with integrals
        • 🎥 Alternating series remainder
        • 🎥 Worked example: alternating series remainder
      • Power series intro
        • 🎥 Power series intro
        • 🎥 Worked example: interval of convergence
        • 🎥 Integrating power series
        • 🎥 Differentiating power series
        • 🎥 Interval of convergence for derivative and integral
      • Taylor & Maclaurin polynomials intro
        • 🎥 Taylor & Maclaurin polynomials intro (part 1)
        • 🎥 Taylor & Maclaurin polynomials intro (part 2)
        • 🎥 Worked example: Maclaurin polynomial
        • 🎥 Worked example: coefficient in Maclaurin polynomial
        • 🎥 Worked example: coefficient in Taylor polynomial
        • 🎥 Taylor polynomial remainder (part 1)
        • 🎥 Taylor polynomial remainder (part 2)
        • 🎥 Worked example: estimating sin(0.4) using Lagrange error bound
        • 🎥 Worked example: estimating eˣ using Lagrange error bound
        • 🎥 Visualizing Taylor polynomial approximations
        • 🎥 Worked example: Taylor polynomial of derivative function
      • Maclaurin series of sin(x), cos(x), and eˣ
        • 🎥 Maclaurin series of cos(x)
        • 🎥 Maclaurin series of sin(x)
        • 🎥 Maclaurin series of eˣ
        • 🎥 Euler's formula & Euler's identity
        • 🎥 Worked example: power series from cos(x)
        • 🎥 Worked example: cosine function from power series
        • 🎥 Worked example: recognizing function from Taylor series
        • 🎥 Visualizing Taylor series approximations
      • Power series function representation
        • 🎥 Function as a geometric series
        • 🎥 Geometric series as a function
        • 🎥 Geometric series interval of convergence
        • 🎥 Power series of arctan(2x)
        • 🎥 Power series of ln(1+x³)
        • 🎥 Finding function from power series by integrating
      • Optional videos
        • 🎥 Formal definition for limit of a sequence
        • 🎥 Proving a sequence converges using the formal definition
        • 🎥 Finite geometric series formula justification
        • 🎥 Infinite geometric series formula intuition
        • 🎥 Proof of infinite geometric series as a limit
        • 🎥 Proof of p-series convergence criteria
    • AP Calculus BC solved exams
      • AP Calculus BC 2017
        • 🎥 2017 AP Calculus AB/BC 4a
        • 🎥 2017 AP Calculus AB/BC 4b
        • 🎥 2017 AP Calculus AB/BC 4c
      • AP Calculus BC 2015
        • 🎥 2015 AP Calculus BC 2a
        • 🎥 2015 AP Calculus BC 2b
        • 🎥 2015 AP Calculus BC 2c
        • 🎥 2015 AP Calculus BC 2d
        • 🎥 2015 AP Calculus BC 5a
        • 🎥 2015 AP Calculus BC 5b
        • 🎥 2015 AP Calculus BC 5c
        • 🎥 2015 AP Calculus BC 5d
        • 🎥 2015 AP Calculus BC 6a
        • 🎥 2015 AP Calculus BC 6b
        • 🎥 2015 AP Calculus BC 6c
      • AP Calculus BC 2011
        • 🎥 2011 Calculus BC free response #1a
        • 🎥 2011 Calculus BC free response #1 (b & c)
        • 🎥 2011 Calculus BC free response #1d
        • 🎥 2011 Calculus BC free response #3a
        • 🎥 2011 Calculus BC free response #3 (b & c)
        • 🎥 2011 Calculus BC free response #6a
        • 🎥 2011 Calculus BC free response #6b
        • 🎥 2011 Calculus BC free response #6c
        • 🎥 2011 Calculus BC free response #6d
      • AP Calculus BC 2008
        • 🎥 AP Calculus BC exams: 2008 1 a
        • 🎥 AP Calculus BC exams: 2008 1 b&c
        • 🎥 AP Calculus BC exams: 2008 1 c&d
        • 🎥 AP Calculus BC exams: 2008 1 d
        • 🎥 Calculus BC 2008 2 a
        • 🎥 Calculus BC 2008 2 b &c
        • 🎥 Calculus BC 2008 2d
  • Multivariable calculus
    • Thinking about multivariable functions
      • Introduction to multivariable calculus
        • 🎥 Multivariable functions
      • Skill check
      • Visualizing scalar-valued functions
        • 🎥 Representing points in 3d
        • 🎥 Introduction to 3d graphs
        • 🎥 Interpreting graphs with slices
        • 🎥 Contour plots
      • Visualizing vector-valued functions
        • 🎥 Parametric curves
        • 🎥 Parametric surfaces
        • 🎥 Vector fields, introduction
        • 🎥 Fluid flow and vector fields
        • 🎥 3d vector fields, introduction
        • 🎥 3d vector field example
      • Transformations
        • 🎥 Transformations, part 1
        • 🎥 Transformations, part 2
        • 🎥 Transformations, part 3
      • Visualizing multivariable functions (articles)
    • Derivatives of multivariable functions
      • Skill checks
      • Partial derivatives
        • 🎥 Partial derivatives, introduction
        • 🎥 Graphical understanding of partial derivatives
        • 🎥 Formal definition of partial derivatives
        • 🎥 Symmetry of second partial derivatives
      • Gradient and directional derivatives
        • 🎥 Gradient
        • 🎥 Gradient and graphs
        • 🎥 Gradient and contour maps
        • 🎥 Directional derivative
        • 🎥 Directional derivative, formal definition
        • 🎥 Directional derivatives and slope
        • 🎥 Why the gradient is the direction of steepest ascent
      • Partial derivative and gradient (articles)
      • Differentiating parametric curves
        • 🎥 Vector-valued functions intro
        • 🎥 Vector-valued functions differentiation
        • 🎥 Differential of a vector valued function
        • 🎥 Vector valued function derivative example
      • Multivariable chain rule
        • 🎥 Multivariable chain rule
        • 🎥 Multivariable chain rule intuition
        • 🎥 Vector form of the multivariable chain rule
        • 🎥 Multivariable chain rule and directional derivatives
        • 🎥 More formal treatment of multivariable chain rule
      • Curvature
        • 🎥 Curvature intuition
        • 🎥 Curvature formula, part 1
        • 🎥 Curvature formula, part 2
        • 🎥 Curvature formula, part 3
        • 🎥 Curvature formula, part 4
        • 🎥 Curvature formula, part 5
        • 🎥 Curvature of a helix, part 1
        • 🎥 Curvature of a helix, part 2
        • 🎥 Curvature of a cycloid
      • Partial derivatives of vector-valued functions
        • 🎥 Computing the partial derivative of a vector-valued function
        • 🎥 Partial derivative of a parametric surface, part 1
        • 🎥 Partial derivative of a parametric surface, part 2
        • 🎥 Partial derivatives of vector fields
        • 🎥 Partial derivatives of vector fields, component by component
      • Differentiating vector-valued functions (articles)
      • Divergence
        • 🎥 Divergence intuition, part 1
        • 🎥 Divergence intuition, part 2
        • 🎥 Divergence formula, part 1
        • 🎥 Divergence formula, part 2
        • 🎥 Divergence example
        • 🎥 Divergence notation
      • Curl
        • 🎥 2d curl intuition
        • 🎥 2d curl formula
        • 🎥 2d curl example
        • 🎥 2d curl nuance
        • 🎥 Describing rotation in 3d with a vector
        • 🎥 3d curl intuition, part 1
        • 🎥 3d curl intuition, part 2
        • 🎥 3d curl formula, part 1
        • 🎥 3d curl formula, part 2
        • 🎥 3d curl computation example
      • Divergence and curl (articles)
      • Laplacian
        • 🎥 Laplacian intuition
        • 🎥 Laplacian computation example
        • 🎥 Explicit Laplacian formula
        • 🎥 Harmonic Functions
      • Jacobian
        • 🎥 Jacobian prerequisite knowledge
        • 🎥 Local linearity for a multivariable function
        • 🎥 The Jacobian matrix
        • 🎥 Computing a Jacobian matrix
        • 🎥 The Jacobian Determinant
    • Applications of multivariable derivatives
      • Tangent planes and local linearization
        • 🎥 What is a tangent plane
        • 🎥 Controlling a plane in space
        • 🎥 Computing a tangent plane
        • 🎥 Local linearization
      • Quadratic approximations
        • 🎥 What do quadratic approximations look like
        • 🎥 Quadratic approximation formula, part 1
        • 🎥 Quadratic approximation formula, part 2
        • 🎥 Quadratic approximation example
        • 🎥 The Hessian matrix
        • 🎥 Expressing a quadratic form with a matrix
        • 🎥 Vector form of multivariable quadratic approximation
      • Optimizing multivariable functions
        • 🎥 Multivariable maxima and minima
        • 🎥 Saddle points
        • 🎥 Warm up to the second partial derivative test
        • 🎥 Second partial derivative test
        • 🎥 Second partial derivative test intuition
        • 🎥 Second partial derivative test example, part 1
        • 🎥 Second partial derivative test example, part 2
      • Optimizing multivariable functions (articles)
      • Lagrange multipliers and constrained optimization
        • 🎥 Constrained optimization introduction
        • 🎥 Lagrange multipliers, using tangency to solve constrained optimization
        • 🎥 Finishing the intro lagrange multiplier example
        • 🎥 Lagrange multiplier example, part 1
        • 🎥 Lagrange multiplier example, part 2
        • 🎥 The Lagrangian
        • 🎥 Meaning of the Lagrange multiplier
        • 🎥 Proof for the meaning of Lagrange multipliers
      • Constrained optimization (articles)
    • Integrating multivariable functions
      • Line integrals for scalar functions (videos)
        • 🎥 Introduction to the line integral
        • 🎥 Line integral example 1
        • 🎥 Line integral example 2 (part 1)
        • 🎥 Line integral example 2 (part 2)
      • Line integrals for scalar functions (articles)
      • Line integrals in vector fields (videos)
        • 🎥 Line integrals and vector fields
        • 🎥 Using a line integral to find work
        • 🎥 Parametrization of a reverse path
        • 🎥 Scalar field line integral independent of path direction
        • 🎥 Vector field line integrals dependent on path direction
        • 🎥 Path independence for line integrals
        • 🎥 Closed curve line integrals of conservative vector fields
        • 🎥 Example of closed line integral of conservative field
        • 🎥 Second example of line integral of conservative vector field
      • Line integrals in vector fields (articles)
      • Double integrals (videos)
        • 🎥 Double integral 1
        • 🎥 Double integrals 2
        • 🎥 Double integrals 3
        • 🎥 Double integrals 4
        • 🎥 Double integrals 5
        • 🎥 Double integrals 6
      • Double integrals (articles)
        • 🎥 Polar coordinates
      • Triple integrals (videos)
        • 🎥 Triple integrals 1
        • 🎥 Triple integrals 2
        • 🎥 Triple integrals 3
      • Triple integrals (articles)
      • Surface integral preliminaries (videos)
        • 🎥 Parametrizing a surface, part 1
        • 🎥 Determining a position vector-valued function for a parametrization of two parameters
        • 🎥 Partial derivatives of vector-valued functions
      • Surface integrals (videos)
        • 🎥 Introduction to the surface integral
        • 🎥 Example of calculating a surface integral part 1
        • 🎥 Example of calculating a surface integral part 2
        • 🎥 Example of calculating a surface integral part 3
        • 🎥 Surface integral example, part 1
        • 🎥 Surface integral example part 2
        • 🎥 Surface integral example part 3: The home stretch
        • 🎥 Surface integral ex2 part 1
        • 🎥 Surface integral ex2 part 2
        • 🎥 Surface integral ex3 part 1
        • 🎥 Surface integral ex3 part 2
        • 🎥 Surface integral ex3 part 3
        • 🎥 Surface integral ex3 part 4
      • Surface integrals (articles)
      • Flux in 3D (videos)
        • 🎥 Conceptual understanding of flux
        • 🎥 Constructing a unit normal vector
        • 🎥 Vector representation of a surface integral
      • Flux in 3D (articles)
    • Green's, Stokes', and the divergence theorems
      • Formal definitions of div and curl (optional reading)
      • Green's theorem (videos)
        • 🎥 Green's theorem proof (part 1)
        • 🎥 Green's theorem proof (part 2)
        • 🎥 Green's theorem example 1
        • 🎥 Green's theorem example 2
      • Green's theorem (articles)
      • 2D divergence theorem
        • 🎥 Constructing a unit normal vector to a curve
        • 🎥 2D divergence theorem
        • 🎥 Conceptual clarification for 2D divergence theorem
      • Stokes' theorem (videos)
        • 🎥 Stokes' theorem intuition
        • 🎥 Green's and Stokes' theorem relationship
        • 🎥 Orienting boundary with surface
        • 🎥 Orientation and stokes
        • 🎥 Conditions for stokes theorem
        • 🎥 Stokes example part 1
        • 🎥 Stokes example part 2
        • 🎥 Stokes example part 3
        • 🎥 Stokes example part 4
        • 🎥 Evaluating line integral directly - part 1
        • 🎥 Evaluating line integral directly - part 2
      • Stokes' theorem (articles)
      • 3D divergence theorem (videos)
        • 🎥 3D divergence theorem intuition
        • 🎥 Divergence theorem example 1
        • 🎥 Explanation of example 1
      • Divergence theorem (articles)
      • Proof of Stokes' theorem
        • 🎥 Stokes' theorem proof part 1
        • 🎥 Stokes' theorem proof part 2
        • 🎥 Stokes' theorem proof part 3
        • 🎥 Stokes' theorem proof part 4
        • 🎥 Stokes' theorem proof part 5
        • 🎥 Stokes' theorem proof part 6
        • 🎥 Stokes' theorem proof part 7
      • Types of regions in three dimensions
        • 🎥 Type I regions in three dimensions
        • 🎥 Type II regions in three dimensions
        • 🎥 Type III regions in three dimensions
      • Divergence theorem proof
        • 🎥 Divergence theorem proof (part 1)
        • 🎥 Divergence theorem proof (part 2)
        • 🎥 Divergence theorem proof (part 3)
        • 🎥 Divergence theorem proof (part 4)
        • 🎥 Divergence theorem proof (part 5)
  • Differential equations
    • First order differential equations
      • Intro to differential equations
        • 🎥 Differential equations introduction
        • 🎥 Writing a differential equation
        • 🎥 Worked example: linear solution to differential equation
      • Slope fields
        • 🎥 Slope fields introduction
        • 🎥 Worked example: equation from slope field
        • 🎥 Worked example: slope field from equation
        • 🎥 Worked example: forming a slope field
        • 🎥 Solutions from slope field
        • 🎥 Worked example: range of solution curve from slope field
      • Euler's Method
        • 🎥 Euler's method
        • 🎥 Worked example: Euler's method
      • Separable equations
        • 🎥 Separable equations introduction
        • 🎥 Addressing treating differentials algebraically
        • 🎥 Worked example: identifying separable equations
        • 🎥 Worked example: finding a specific solution to a separable equation
        • 🎥 Worked example: separable equation with an implicit solution
        • 🎥 Separable equations (old)
        • 🎥 Separable equations example (old)
      • Exponential models
        • 🎥 Exponential models & differential equations (Part 1)
        • 🎥 Exponential models & differential equations (Part 2)
        • 🎥 Worked example: exponential solution to differential equation
        • 🎥 Newton's Law of Cooling
        • 🎥 Worked example: Newton's law of cooling
      • Logistic models
        • 🎥 Logistic models & differential equations (Part 1)
        • 🎥 Logistic models & differential equations (Part 2)
        • 🎥 Logistic equations (Part 1)
        • 🎥 Logistic equations (Part 2)
        • 🎥 Worked example: logistic model equations
      • Exact equations and integrating factors
        • 🎥 Exact equations intuition 1 (proofy)
        • 🎥 Exact equations intuition 2 (proofy)
        • 🎥 Exact equations example 1
        • 🎥 Exact equations example 2
        • 🎥 Exact equations example 3
        • 🎥 Integrating factors 1
        • 🎥 Integrating factors 2
      • Homogeneous equations
        • 🎥 First order homogenous equations
        • 🎥 First order homogeneous equations 2
    • Second order linear equations
      • Linear homogeneous equations
        • 🎥 2nd order linear homogeneous differential equations 1
        • 🎥 2nd order linear homogeneous differential equations 2
        • 🎥 2nd order linear homogeneous differential equations 3
        • 🎥 2nd order linear homogeneous differential equations 4
      • Complex and repeated roots of characteristic equation
        • 🎥 Complex roots of the characteristic equations 1
        • 🎥 Complex roots of the characteristic equations 2
        • 🎥 Complex roots of the characteristic equations 3
        • 🎥 Repeated roots of the characteristic equation
        • 🎥 Repeated roots of the characteristic equations part 2
      • Method of undetermined coefficients
        • 🎥 Undetermined coefficients 1
        • 🎥 Undetermined coefficients 2
        • 🎥 Undetermined coefficients 3
        • 🎥 Undetermined coefficients 4
    • Laplace transform
      • Laplace transform
        • 🎥 Laplace transform 1
        • 🎥 Laplace transform 2
        • 🎥 L{sin(at)} - transform of sin(at)
        • 🎥 Part 2 of the transform of the sin(at)
      • Properties of the Laplace transform
        • 🎥 Laplace as linear operator and Laplace of derivatives
        • 🎥 Laplace transform of cos t and polynomials
        • 🎥 "Shifting" transform by multiplying function by exponential
        • 🎥 Laplace transform of t: L{t}
        • 🎥 Laplace transform of t^n: L{t^n}
        • 🎥 Laplace transform of the unit step function
        • 🎥 Inverse Laplace examples
        • 🎥 Dirac delta function
        • 🎥 Laplace transform of the dirac delta function
      • Laplace transform to solve a differential equation
        • 🎥 Laplace transform to solve an equation
        • 🎥 Laplace transform solves an equation 2
        • 🎥 Using the Laplace transform to solve a nonhomogeneous eq
        • 🎥 Laplace/step function differential equation
      • The convolution integral
        • 🎥 Introduction to the convolution
        • 🎥 The convolution and the laplace transform
        • 🎥 Using the convolution theorem to solve an initial value prob
  • Linear algebra
    • Vectors and spaces
      • Vectors
        • 🎥 Vector intro for linear algebra
        • 🎥 Real coordinate spaces
        • 🎥 Adding vectors algebraically & graphically
        • 🎥 Multiplying a vector by a scalar
        • 🎥 Vector examples
        • 🎥 Unit vectors intro
        • 🎥 Parametric representations of lines
      • Linear combinations and spans
        • 🎥 Linear combinations and span
      • Linear dependence and independence
        • 🎥 Introduction to linear independence
        • 🎥 More on linear independence
        • 🎥 Span and linear independence example
      • Subspaces and the basis for a subspace
        • 🎥 Linear subspaces
        • 🎥 Basis of a subspace
      • Vector dot and cross products
        • 🎥 Vector dot product and vector length
        • 🎥 Proving vector dot product properties
        • 🎥 Proof of the Cauchy-Schwarz inequality
        • 🎥 Vector triangle inequality
        • 🎥 Defining the angle between vectors
        • 🎥 Defining a plane in R3 with a point and normal vector
        • 🎥 Cross product introduction
        • 🎥 Proof: Relationship between cross product and sin of angle
        • 🎥 Dot and cross product comparison/intuition
        • 🎥 Vector triple product expansion (very optional)
        • 🎥 Normal vector from plane equation
        • 🎥 Point distance to plane
        • 🎥 Distance between planes
      • Matrices for solving systems by elimination
        • 🎥 Solving a system of 3 equations and 4 variables using matrix row-echelon form
        • 🎥 Solving linear systems with matrices
        • 🎥 Using matrix row-echelon form in order to show a linear system has no solutions
      • Null space and column space
        • 🎥 Matrix vector products
        • 🎥 Introduction to the null space of a matrix
        • 🎥 Null space 2: Calculating the null space of a matrix
        • 🎥 Null space 3: Relation to linear independence
        • 🎥 Column space of a matrix
        • 🎥 Null space and column space basis
        • 🎥 Visualizing a column space as a plane in R3
        • 🎥 Proof: Any subspace basis has same number of elements
        • 🎥 Dimension of the null space or nullity
        • 🎥 Dimension of the column space or rank
        • 🎥 Showing relation between basis cols and pivot cols
        • 🎥 Showing that the candidate basis does span C(A)
    • Matrix transformations
      • Functions and linear transformations
        • 🎥 A more formal understanding of functions
        • 🎥 Vector transformations
        • 🎥 Linear transformations
        • 🎥 Matrix vector products as linear transformations
        • 🎥 Linear transformations as matrix vector products
        • 🎥 Image of a subset under a transformation
        • 🎥 im(T): Image of a transformation
        • 🎥 Preimage of a set
        • 🎥 Preimage and kernel example
        • 🎥 Sums and scalar multiples of linear transformations
        • 🎥 More on matrix addition and scalar multiplication
      • Linear transformation examples
        • 🎥 Linear transformation examples: Scaling and reflections
        • 🎥 Linear transformation examples: Rotations in R2
        • 🎥 Rotation in R3 around the x-axis
        • 🎥 Unit vectors
        • 🎥 Introduction to projections
        • 🎥 Expressing a projection on to a line as a matrix vector prod
      • Transformations and matrix multiplication
        • 🎥 Compositions of linear transformations 1
        • 🎥 Compositions of linear transformations 2
        • 🎥 Matrix product examples
        • 🎥 Matrix product associativity
        • 🎥 Distributive property of matrix products
      • Inverse functions and transformations
        • 🎥 Introduction to the inverse of a function
        • 🎥 Proof: Invertibility implies a unique solution to f(x)=y
        • 🎥 Surjective (onto) and injective (one-to-one) functions
        • 🎥 Relating invertibility to being onto and one-to-one
        • 🎥 Determining whether a transformation is onto
        • 🎥 Exploring the solution set of Ax = b
        • 🎥 Matrix condition for one-to-one transformation
        • 🎥 Simplifying conditions for invertibility
        • 🎥 Showing that inverses are linear
      • Finding inverses and determinants
        • 🎥 Deriving a method for determining inverses
        • 🎥 Example of finding matrix inverse
        • 🎥 Formula for 2x2 inverse
        • 🎥 3 x 3 determinant
        • 🎥 n x n determinant
        • 🎥 Determinants along other rows/cols
        • 🎥 Rule of Sarrus of determinants
      • More determinant depth
        • 🎥 Determinant when row multiplied by scalar
        • 🎥 (correction) scalar multiplication of row
        • 🎥 Determinant when row is added
        • 🎥 Duplicate row determinant
        • 🎥 Determinant after row operations
        • 🎥 Upper triangular determinant
        • 🎥 Simpler 4x4 determinant
        • 🎥 Determinant and area of a parallelogram
        • 🎥 Determinant as scaling factor
      • Transpose of a matrix
        • 🎥 Transpose of a matrix
        • 🎥 Determinant of transpose
        • 🎥 Transpose of a matrix product
        • 🎥 Transposes of sums and inverses
        • 🎥 Transpose of a vector
        • 🎥 Rowspace and left nullspace
        • 🎥 Visualizations of left nullspace and rowspace
        • 🎥 rank(a) = rank(transpose of a)
        • 🎥 Showing that A-transpose x A is invertible
    • Alternate coordinate systems (bases)
      • Orthogonal complements
        • 🎥 Orthogonal complements
        • 🎥 dim(v) + dim(orthogonal complement of v) = n
        • 🎥 Representing vectors in rn using subspace members
        • 🎥 Orthogonal complement of the orthogonal complement
        • 🎥 Orthogonal complement of the nullspace
        • 🎥 Unique rowspace solution to Ax = b
        • 🎥 Rowspace solution to Ax = b example
      • Orthogonal projections
        • 🎥 Projections onto subspaces
        • 🎥 Visualizing a projection onto a plane
        • 🎥 A projection onto a subspace is a linear transformation
        • 🎥 Subspace projection matrix example
        • 🎥 Another example of a projection matrix
        • 🎥 Projection is closest vector in subspace
        • 🎥 Least squares approximation
        • 🎥 Least squares examples
        • 🎥 Another least squares example
      • Change of basis
        • 🎥 Coordinates with respect to a basis
        • 🎥 Change of basis matrix
        • 🎥 Invertible change of basis matrix
        • 🎥 Transformation matrix with respect to a basis
        • 🎥 Alternate basis transformation matrix example
        • 🎥 Alternate basis transformation matrix example part 2
        • 🎥 Changing coordinate systems to help find a transformation matrix
      • Orthonormal bases and the Gram-Schmidt process
        • 🎥 Introduction to orthonormal bases
        • 🎥 Coordinates with respect to orthonormal bases
        • 🎥 Projections onto subspaces with orthonormal bases
        • 🎥 Finding projection onto subspace with orthonormal basis example
        • 🎥 Example using orthogonal change-of-basis matrix to find transformation matrix
        • 🎥 Orthogonal matrices preserve angles and lengths
        • 🎥 The Gram-Schmidt process
        • 🎥 Gram-Schmidt process example
        • 🎥 Gram-Schmidt example with 3 basis vectors
      • Eigen-everything
        • 🎥 Introduction to eigenvalues and eigenvectors
        • 🎥 Proof of formula for determining eigenvalues
        • 🎥 Example solving for the eigenvalues of a 2x2 matrix
        • 🎥 Finding eigenvectors and eigenspaces example
        • 🎥 Eigenvalues of a 3x3 matrix
        • 🎥 Eigenvectors and eigenspaces for a 3x3 matrix
        • 🎥 Showing that an eigenbasis makes for good coordinate systems
  • 6th grade (Ontario)
    • Number Sense and Numeration
      • Ratios, rates and percentages
      • Fractions
        • 🎥 Fractions on number line widget
      • Multiplication and division
      • Place value and decimal operations
      • Factors and multiples
      • Properties of numbers
        • 🎥 Commutative law of addition
        • 🎥 Commutative law of multiplication
    • Measurement
      • Unit conversion
        • 🎥 Converting units: centimeters to meters
        • 🎥 Converting units: US volume
      • Area
        • 🎥 Multiplying with area model: 78 x 65
        • 🎥 Area of composite shapes
      • Volume
        • 🎥 Measuring volume as area times length
        • 🎥 Volume of triangular prism & cube
    • Geometry and Spatial Sense
      • Coordinate plane
        • 🎥 Intro to the coordinate plane
        • 🎥 Points on the coordinate plane examples
        • 🎥 Plotting a point (ordered pair)
      • Angles and polygons
      • Transformations
    • Patterning and Algebra
      • Number patterns
        • 🎥 Graphing patterns on coordinate plane
      • Variables and expressions
        • 🎥 Expressions with two variables
        • 🎥 Combining like terms
        • 🎥 Combining like terms challenge problem
    • Data Management and Probability
      • Data management
      • Statistics
        • 🎥 Mean, median, & mode example
        • 🎥 Missing value given the mean
      • Probability
        • 🎥 Intro to theoretical probability
  • 6th grade (WNCP)
    • Number
      • Place value and decimals
        • 🎥 Regrouping numbers into various place values
        • 🎥 Comparing whole number place values
      • Prime numbers, factors and multiples
      • Mixed numbers and improper fractions
      • Ratios and percentages
      • Integers negative numbers
      • Multiplication and division
        • 🎥 Multiplying a decimal by a power of 10
        • 🎥 Intro to multiplying decimals
        • 🎥 Dividing a decimal by a power of 10: pattern
      • Properties of numbers and order of operations
        • 🎥 Commutative law of addition
        • 🎥 Commutative law of multiplication
    • Patterns and Relations
      • Number patterns
        • 🎥 Factors and multiples: days of the week
        • 🎥 Math patterns: toothpicks
        • 🎥 Interpreting relationships in ordered pairs
        • 🎥 Graphing sequence relationships
      • Variables and equations
        • 🎥 Expressions with two variables
        • 🎥 Combining like terms
        • 🎥 Combining like terms challenge problem
    • Shape and Space
      • Angles
        • 🎥 Angles in a triangle sum to 180° proof
      • Perimeter and Area
        • 🎥 Perimeter & area
        • 🎥 Perimeter & area of composite shapes
      • Volume
      • Triangles and Polygons
        • 🎥 Classifying triangles
        • 🎥 Classifying triangles by angles
        • 🎥 Sum of interior angles of a polygon
      • Coordinate plane
        • 🎥 Coordinate plane: graphing points
        • 🎥 Plotting a point (ordered pair)
      • Transformations
        • 🎥 Intro to reflective symmetry
        • 🎥 Rigid transformations intro
        • 🎥 Performing translations
        • 🎥 Performing rotations
        • 🎥 Performing reflections
        • 🎥 Finding a quadrilateral from its symmetries
        • 🎥 Finding a quadrilateral from its symmetries (example 2)
    • Statistics and Probability
      • Data
        • 🎥 Reading line graphs
        • 🎥 Misleading line graphs
      • Probability
        • 🎥 Intro to theoretical probability
        • 🎥 Coin flipping probability
        • 🎥 Example: All the ways you can flip a coin
        • 🎥 Die rolling probability
  • 3rd grade (Eureka Math/EngageNY)
    • Module 1: Properties of multiplication and division and solving problems with units of 2–5 and 10
      • Topic A: Multiplication and the meaning of the factors
        • 🎥 Intro to multiplication
        • 🎥 Multiplication as groups of objects
      • Topic B: Division as an unknown factor problem
        • 🎥 The idea of division
      • Topic C: Multiplication using units of 2 and 3
        • 🎥 Properties of multiplication
        • 🎥 Properties and patterns for multiplication
      • Topic D: Division using units of 2 and 3
      • Topic E: Multiplication and division using units of 4
        • 🎥 Relating division to multiplication
        • 🎥 Multiplication word problem: parking lot
        • 🎥 Division word problem: school building
        • 🎥 Multiplication word problem: soda party
        • 🎥 Division word problem: blueberries
      • Topic F: Distributive property and problem solving using units of 2–5 and 10
        • 🎥 Properties of multiplication
        • 🎥 2-step word problem: theater
        • 🎥 2-step word problem: truffles
        • 🎥 2-step word problem: running
        • 🎥 2-step estimation problem: marbles
    • Module 2: Place value and problem solving with units of measure
      • Topic A: Time measurement and problem solving
        • 🎥 Telling time (labeled clock)
        • 🎥 Telling time (unlabeled clock)
        • 🎥 Telling time to the nearest minute (labeled clock)
        • 🎥 Telling time to the nearest minute (unlabeled clock)
        • 🎥 Time differences example
        • 🎥 Telling time with number line
        • 🎥 Time word problem: puzzle
        • 🎥 Time word problem: travel time
      • Topic B: Measuring weight and liquid volume in metric units
        • 🎥 Understanding mass (grams and kilograms)
        • 🎥 Word problems with mass
        • 🎥 Understanding volume (liters)
        • 🎥 Word problems with volume
      • Topic C: Rounding to the nearest ten and hundred
        • 🎥 Rounding to nearest 10
        • 🎥 Rounding to nearest 100
        • 🎥 Rounding to nearest 10 and 100
      • Topic D: Two- and three-digit measurement addition using the standard algorithm
        • 🎥 Intro to place value
        • 🎥 Adding 3-digit numbers
        • 🎥 Adding with regrouping
        • 🎥 Breaking apart 3-digit addition problems
        • 🎥 Addition using groups of 10 and 100
        • 🎥 Adding 3-digit numbers with regrouping
      • Topic E: Two- and three-digit measurement subtraction using the standard algorithm
        • 🎥 Adding and subtracting on number line 2
        • 🎥 Subtracting in your head (no regrouping)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping)
        • 🎥 Subtracting 3-digit numbers (regrouping) 2
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping twice)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping from 0)
        • 🎥 Missing number for addition and subtraction within 1000
    • Module 3: Multiplication and division with units of 0, 1, 6–9, and multiples of 10
      • Topic A: The properties of multiplication and division
        • 🎥 Unknowns with multiplication and division
      • Topic B: Multiplication and division using units of 6 and 7
      • Topic C: Multiplication and division using units up to 8
        • 🎥 More ways to multiply
      • Topic D: Multiplication and division using units of 9
        • 🎥 Intro to even and odd numbers
        • 🎥 Finding patterns in numbers
      • Topic E: Analysis of patterns and problem solving including units of 0 and 1
        • 🎥 Identity property of 1
        • 🎥 Patterns in multiplication tables
        • 🎥 2-step estimation problem: marbles
        • 🎥 2-step word problem: running
    • Module 4: Multiplication and area
      • Topic A: Foundations for understanding area
        • 🎥 Intro to area and unit squares
        • 🎥 Measuring rectangles with different unit squares
      • Topic B: Concepts of area measurement
        • 🎥 Measuring area with partial unit squares
        • 🎥 Counting unit squares to find area formula
        • 🎥 Transitioning from unit squares to area formula
        • 🎥 Finding missing side when given area
      • Topic C: Arithmetic properties using area models
        • 🎥 Area and the distributive property
        • 🎥 Creating rectangles with a given area 1
        • 🎥 Creating rectangles with a given area 2
      • Topic D: Applications of area using side lengths of figures
        • 🎥 Decomposing shapes to find area: grids
        • 🎥 Decomposing shapes to find area: subtract
        • 🎥 Decomposing shapes to find area: add
        • 🎥 Area word problem: house size
        • 🎥 Comparing areas of plots of land
    • Module 5: Fractions as numbers on the number line
      • Topic A: Partitioning a whole into equal parts
        • 🎥 Intro to fractions
        • 🎥 Cutting shapes into equal parts
        • 🎥 Identifying unit fractions word problem
      • Topic B: Unit fractions and their relation to the whole
        • 🎥 More than one equal section
        • 🎥 Recognizing fractions greater than 1
        • 🎥 Identifying numerators and denominators
      • Topic C: Comparing unit fractions and specifying the whole
        • 🎥 Comparing fractions of different wholes 1
        • 🎥 Comparing fractions of different wholes 2
      • Topic D: Fractions on the number line
        • 🎥 Fractions on a number line
        • 🎥 Fractions on number line widget
        • 🎥 Representing 1 as a fraction
      • Topic E: Equivalent fractions
        • 🎥 Equivalent fractions with visuals
        • 🎥 Equivalent fraction models
        • 🎥 Equivalent fraction visually
        • 🎥 Creating equivalent fractions
        • 🎥 Whole numbers as fractions
      • Topic F: Comparison, order, and size of fractions
        • 🎥 Comparing fractions with > and < symbols
        • 🎥 Comparing fractions visually
        • 🎥 Comparing fractions with the same denominator
        • 🎥 Comparing fractions with the same numerator
    • Module 6: Collecting and displaying data
      • Topic A: Generate and analyze categorical data
        • 🎥 Solving problems with pictographs 2
        • 🎥 Interpreting picture graphs: paint
        • 🎥 Interpreting picture graphs: notebook
        • 🎥 Creating a bar graph
        • 🎥 Reading bar graphs: Harry Potter
        • 🎥 Reading bar graphs: movies
        • 🎥 Interpreting bar graphs: colors
        • 🎥 Interpreting bar graphs: alligators
      • Topic B: Generate and analyze measurement data
        • 🎥 Intro to line plots
        • 🎥 Graphing data on line plots
    • Module 7: Geometry and measurement word problems
      • Topic A: Solving word problems
      • Topic B: Attributes of two-dimensional figures
        • 🎥 Intro to quadrilaterals
      • Topic C: Problem solving with perimeter
        • 🎥 Perimeter: introduction
        • 🎥 Perimeter of a shape
        • 🎥 Finding perimeter when a side length is missing
        • 🎥 Finding missing side length when given perimeter
        • 🎥 Perimeter word problem: skating rink
        • 🎥 Perimeter word problem: tables
      • Topic D: Recording perimeter and area data on line plots
      • Topic E: Problem solving with perimeter and area
        • 🎥 Comparing areas and perimeters of rectangles
        • 🎥 Area & perimeter word problem: table
        • 🎥 Area & perimeter word problem: dog pen
  • 4th grade (Eureka Math/EngageNY)
    • Module 1: Place value, rounding, and algorithms for addition and subtraction
      • Topic A: Place value of multi-digit whole numbers
        • 🎥 Comparing with multiplication: basics
        • 🎥 Comparing with multiplication: giraffe
        • 🎥 Comparing with multiplication: age
        • 🎥 Finding place value
        • 🎥 Creating the largest number
        • 🎥 Place value blocks
        • 🎥 Multiplying whole numbers by 10
        • 🎥 Dividing whole numbers by 10
        • 🎥 Understanding place value
        • 🎥 Comparing place values
        • 🎥 Place value when multiplying and dividing by 10
        • 🎥 Writing a number in expanded form
        • 🎥 Writing a number in standard form
        • 🎥 Regrouping numbers into various place values
        • 🎥 Regrouping whole number place values
        • 🎥 Adding whole numbers by their place values
      • Topic B: Comparing multi-digit whole numbers
        • 🎥 Comparing multi-digit numbers
        • 🎥 Comparing whole number place values
        • 🎥 Comparing multi-digit whole numbers word problems
      • Topic C: Rounding multi-digit whole numbers
        • 🎥 Rounding whole numbers to nearest hundred
        • 🎥 Rounding whole numbers to nearest thousand
        • 🎥 Rounding whole numbers to nearest ten
        • 🎥 Rounding whole numbers word problems
        • 🎥 Rounding whole numbers: missing digit
      • Topic D: Multi-digit whole number addition
        • 🎥 Adding 3-digit numbers
        • 🎥 Adding with regrouping
        • 🎥 Multi-digit addition with regrouping
      • Topic E: Multi-digit whole number subtraction
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping from 0)
        • 🎥 Multi-digit subtraction with regrouping: 6798-3359
        • 🎥 Multi-digit subtraction with regrouping: 7329-6278
        • 🎥 Multi-digit subtraction with regrouping twice
      • Topic F: Addition and subtraction word problems
    • Module 2: Unit conversions and problem solving with metric measurement
      • Topic A: Metric unit conversions
        • 🎥 Metric system: units of weight
        • 🎥 Metric system: units of distance
        • 🎥 Metric system: units of volume
      • Topic B: Application of metric unit conversions
        • 🎥 How to convert kg to mg and T to oz
        • 🎥 Converting metric units of length
        • 🎥 Multi-step unit conversion examples (metric)
    • Module 3: Multi-digit multiplication and division
      • Topic A: Multiplicative comparison word problems
        • 🎥 Comparing with multiplication: magic
        • 🎥 Comparing with multiplication: money
        • 🎥 Area & perimeter word problem: table
        • 🎥 Area & perimeter word problem: dog pen
        • 🎥 Comparing areas word problem
      • Topic B: Multiplication by 10, 100, and 1,000
        • 🎥 Multiplying 1-digit numbers by 10, 100, and 1000
        • 🎥 Multiplying 1-digit numbers by multiples of 10, 100, and 1000
        • 🎥 Multiplying 10s
      • Topic C: Multiplication of up to four digits by single-digit numbers
        • 🎥 More ways to multiply
        • 🎥 Multiplying with distributive property
        • 🎥 Multiplying with area model: 6 x 7981
        • 🎥 Multiplying with area model: 78 x 65
        • 🎥 Multiplying with area model: 16 x 27
        • 🎥 Multiplying 2-digit by 1-digit
        • 🎥 Multiplying 3-digit by 1-digit
        • 🎥 Multiplying: 2-digit by 1-digit (regrouping)
        • 🎥 Multiplying 3-digit by 1-digit (regrouping)
        • 🎥 Multiplying 4-digit by 1-digit (regrouping)
      • Topic D: Multiplication word problems
        • 🎥 2-step estimation problem: marbles
      • Topic E: Division of tens and ones with successive remainders
        • 🎥 Quotients that are multiples of 10
        • 🎥 Division using place value
        • 🎥 Division with area models
        • 🎥 Intro to remainders
        • 🎥 Division word problem: field goals
        • 🎥 Multiplication word problem: pizza
      • Topic F: Reasoning with divisibility
        • 🎥 Finding factors of a number
        • 🎥 Finding factors and multiples
        • 🎥 Prime numbers
        • 🎥 Recognizing prime and composite numbers
        • 🎥 Factors and multiples: days of the week
        • 🎥 Math patterns: table
        • 🎥 Math patterns: toothpicks
      • Topic G: Division of thousands, hundreds, tens, and ones
        • 🎥 Canceling zeros when dividing
        • 🎥 Worked example: Long division with remainders: 2292÷4
        • 🎥 Worked example: Long division with remainders: 3771÷8
        • 🎥 Long division: 280÷5
        • 🎥 Intro to long division (no remainders)
      • Topic H: Multiplication of two-digit by two-digit numbers
        • 🎥 Multiplying 2-digit numbers
    • Module 4: Angle measure and plane figures
      • Topic A: Line and angles
        • 🎥 Terms & labels in geometry
        • 🎥 Lines, line segments, & rays
        • 🎥 Angles: introduction
        • 🎥 Naming angles
        • 🎥 Recognizing angles
        • 🎥 Acute, right, & obtuse angles
        • 🎥 Drawing acute, right and obtuse angles
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines
        • 🎥 Drawing parallel line segments
      • Topic B: Angle measurement
        • 🎥 Angle measurement & circle arcs
        • 🎥 Measuring angles with a circular protractor
        • 🎥 Angles in circles word problem
        • 🎥 Identifying an angle
        • 🎥 Measuring angles in degrees
        • 🎥 Measuring angles using a protractor
        • 🎥 Measuring angles using a protractor 2
        • 🎥 Constructing angles
      • Topic C: Problem solving with the addition of angle measures
        • 🎥 Decomposing an angle
        • 🎥 Decomposing angles
      • Topic D: Two-dimensional figures and symmetry
        • 🎥 Intro to reflective symmetry
        • 🎥 Identifying symmetrical figures
        • 🎥 Classifying triangles by angles
        • 🎥 Classifying triangles
        • 🎥 Worked example: Classifying triangles
        • 🎥 Classifying shapes by line and angles types
        • 🎥 Quadrilateral properties
        • 🎥 Classifying shapes by lines and angles
    • Module 5: Fraction equivalence, ordering, and operations
      • Topic A: Decomposition and fraction equivalence
        • 🎥 Decomposing a fraction visually
        • 🎥 Decomposing a mixed number
      • Topic B: Fraction equivalence using multiplication and division
        • 🎥 Intro to equivalent fractions
        • 🎥 Visualizing equivalent fractions
        • 🎥 More on equivalent fractions
        • 🎥 Equivalent fractions and different wholes
        • 🎥 Finding common denominators
        • 🎥 Common denominators: 3/5 and 7/2
      • Topic C: Fraction comparison
        • 🎥 Comparing fractions: tape diagram
        • 🎥 Comparing fractions: number line
        • 🎥 Comparing fractions: fraction models
        • 🎥 Comparing fractions 1 (unlike denominators)
        • 🎥 Comparing fractions 2 (unlike denominators)
        • 🎥 Ordering fractions
      • Topic D: Fraction addition and subtraction
        • 🎥 Adding fractions with like denominators
        • 🎥 Subtracting fractions with like denominators
        • 🎥 Fraction word problem: pizza
        • 🎥 Fraction word problem: piano
        • 🎥 Fraction word problem: lizard
        • 🎥 Fraction word problem: spider eyes
      • Topic E: Extending fraction equivalence to fractions greater than 1
        • 🎥 Multiplying unit fractions and whole numbers
        • 🎥 Rewriting mixed numbers as improper fractions
        • 🎥 Rewriting improper fractions as mixed numbers
        • 🎥 Comparing improper fractions and mixed numbers
        • 🎥 Reading a line plot with fractions
      • Topic F: Addition and subtraction of fractions by decomposition
        • 🎥 Intro to adding mixed numbers
        • 🎥 Intro to subtracting mixed numbers
        • 🎥 Fraction word problem: lizard
        • 🎥 Subtracting mixed numbers with like denominators
      • Topic G: Repeated addition of fractions as multiplication
        • 🎥 Multiplying fractions and whole numbers visually
        • 🎥 Equivalent fraction and whole number multiplication problems
        • 🎥 Multiplying fractions word problem: movies
        • 🎥 Multiplying fractions word problem: milk
        • 🎥 Multiplying fractions by whole numbers word problem
      • Topic H: Exploring a fraction pattern
    • Module 6: Decimal fractions
      • Topic A: Exploration of tenths
        • 🎥 Intro to decimals
        • 🎥 Decimals as words
        • 🎥 Graphing tenths from 0 to 1
        • 🎥 Identifying tenths on a number line
        • 🎥 Visually converting tenths and hundredths
        • 🎥 Decomposing hundredths on number line
        • 🎥 Decomposing hundredths
      • Topic B: Tenths and hundredths
        • 🎥 Writing decimal numbers shown in grids
        • 🎥 Graphing hundredths from 0 to 0.1
        • 🎥 Identifying hundredths on a number line
        • 🎥 Plotting decimal numbers on a number line
        • 🎥 Rewriting fractions as decimals
        • 🎥 Writing a number as a fraction and decimal
        • 🎥 Place value for decimals greater than 1
      • Topic C: Decimal comparison
        • 🎥 Comparing decimals visually
        • 🎥 Comparing numbers represented different ways
        • 🎥 Comparing decimal numbers on a number line
        • 🎥 Comparing decimals 1
        • 🎥 Comparing decimals 2
        • 🎥 Comparing decimals 3
      • Topic D: Addition with tenths and hundredths
        • 🎥 Rewriting decimals as fractions: 0.15
        • 🎥 Rewriting decimals as fractions: 0.8
        • 🎥 Rewriting decimals as fractions: 0.36
        • 🎥 Adding fractions (denominators 10 & 100)
        • 🎥 Adding fractions: 7/10+13/100
      • Topic E: Money amounts as decimal numbers
    • Module 7: Exploring measurement with multiplication
      • Topic A: Measurement conversion tables
        • 🎥 Converting US customary units of volume
        • 🎥 Converting feet to inches
        • 🎥 Converting units of time
        • 🎥 Word problem: making change
        • 🎥 Currency conversion word problem
      • Topic B: Problem solving with measurement
        • 🎥 Choose pounds or ounces to measure weight
        • 🎥 U.S. customary units: weight
        • 🎥 U.S. customary units: distance
        • 🎥 U.S. customary units: fluid volume
        • 🎥 Multi-step unit conversion examples (U.S. Customary)
        • 🎥 Time differences example
        • 🎥 Time word problem: travel time
        • 🎥 Time word problem: Susan's break
      • Topic C: Investigation of measurements expressed as mixed numbers
  • 5th grade (Eureka Math/EngageNY)
    • Module 1: Place value and decimal fractions
      • Topic A: Multiplicative patterns on the place value chart
        • 🎥 Decimal place value
        • 🎥 Patterns in powers of 10
        • 🎥 Exponents and powers of 10 patterns
        • 🎥 Multiplying a decimal by a power of 10
        • 🎥 Dividing a decimal by a power of 10
        • 🎥 Dividing a decimal by a power of 10: pattern
        • 🎥 Fractions as division by power of 10
        • 🎥 Comparing decimal place values
      • Topic B: Decimal fractions and place value patterns
        • 🎥 Write decimal in expanded form
        • 🎥 Convert decimal from expanded form to standard form
        • 🎥 Decimals in written form (hundredths)
        • 🎥 Decimals in written form (thousandths)
        • 🎥 Comparing decimals: 9.97 and 9.798
        • 🎥 Comparing decimals: 156.378 and 156.348
        • 🎥 Ordering decimals 1
        • 🎥 Ordering decimals 2
        • 🎥 Comparing decimals word problems
      • Topic C: Place value and rounding decimal fractions
        • 🎥 Worked example: Rounding decimals to nearest tenth
        • 🎥 Rounding decimals word problems
      • Topic D: Adding and subtracting decimals
        • 🎥 Introduction to adding decimals: tenths
        • 🎥 Adding decimals with ones and tenths parts
        • 🎥 Adding decimals with hundredths
        • 🎥 Adding decimals with ones, tenths and hundredths
        • 🎥 Adding decimals: 9.087+15.31
        • 🎥 Adding decimals: 0.822+5.65
        • 🎥 Adding three decimals
        • 🎥 Strategies for subtracting basic decimals
        • 🎥 Strategies for subtracting more complex decimals with tenths
        • 🎥 More advanced subtraction strategies with hundredths
        • 🎥 Subtraction strategies with hundredths
        • 🎥 Subtracting decimals: 10.1-3.93
        • 🎥 Subtracting decimals: 9.57-8.09
      • Topic E: Multiplying decimals
        • 🎥 Intro to multiplying decimals
        • 🎥 Developing strategies for multiplying decimals
      • Topic F: Dividing decimals
        • 🎥 Dividing whole numbers to get a decimal
        • 🎥 Division strategies for decimal quotients
        • 🎥 Multi-digit division strategies for decimals
        • 🎥 Strategies for dividing by tenths
    • Module 2: Multi-digit whole number and decimal fraction operations
      • Topic A: Mental strategies for multi-digit whole number multiplication
        • 🎥 Multiplying by multiples of 10
        • 🎥 Strategies for multiplying multiples of 10, 100 and 1000
      • Topic B: The standard algorithm for multi-digit whole number multiplication
        • 🎥 More ways to multiply
        • 🎥 Multiplying with distributive property
        • 🎥 Multiplying with area model: 6 x 7981
        • 🎥 Multiplying with area model: 78 x 65
        • 🎥 Multiplying with area model: 16 x 27
        • 🎥 Multiplying multi-digit numbers
      • Topic C: Decimal multi-digit multiplication
        • 🎥 Multiplying decimals: place value
        • 🎥 Developing strategies for multiplying 2-digit decimals
      • Topic D: Measurement word problems with whole number and decimal multiplication
        • 🎥 Converting units: minutes to hours
        • 🎥 Converting units: metric distance
        • 🎥 Converting units: centimeters to meters
        • 🎥 Converting units: US volume
        • 🎥 Adding units of volume
        • 🎥 Same length in different units
        • 🎥 Time word problem: Susan's break
        • 🎥 Measurement word problem: tea party
        • 🎥 Measurement word problem: blood drive
        • 🎥 Measurement word problem: distance home
        • 🎥 Measurement word problem: elevator
        • 🎥 Measurement word problem: running laps
      • Topic E: Mental strategies for multi-digit whole number division
      • Topic F: Partial quotients and multi-digit whole number division
        • 🎥 Strategies for dividing multiples of 10, 100, and 1000
        • 🎥 Introduction to dividing by 2-digits
        • 🎥 Dividing by 2-digits: 9815÷65
        • 🎥 Dividing by 2-digits: 7182÷42
      • Topic G: Partial quotients and multi-digit decimal division
        • 🎥 Division strategies for decimal quotients
        • 🎥 Multi-digit division strategies for decimals
        • 🎥 Strategies for dividing by tenths
      • Topic H: Measurement word problems with multi-digit division
    • Module 3: Addition and subtractions of fractions
      • Topic A: Equivalent fractions
        • 🎥 Intro to equivalent fractions
        • 🎥 Visualizing equivalent fractions
        • 🎥 More on equivalent fractions
        • 🎥 Decomposing a fraction visually
        • 🎥 Decomposing a mixed number
        • 🎥 Rewriting mixed numbers as improper fractions
        • 🎥 Rewriting improper fractions as mixed numbers
      • Topic B: Making like units pictorially
        • 🎥 Visually adding fractions: 5/6+1/4
        • 🎥 Visually subtracting fractions: 3/4-5/8
        • 🎥 Finding common denominators
        • 🎥 Adding fractions with unlike denominators
        • 🎥 Subtracting fractions with unlike denominators
        • 🎥 Adding fractions word problem: paint
        • 🎥 Subtracting fractions word problem: tomatoes
      • Topic C: Making like units numerically
        • 🎥 Adding mixed numbers: 19 3/18 + 18 2/3
        • 🎥 Subtracting mixed numbers: 7 6/9 - 3 2/5
        • 🎥 Adding mixed numbers with regrouping
        • 🎥 Subtracting mixed numbers with regrouping (unlike denominators)
      • Topic D: Further applications
        • 🎥 Adding and subtracting 3 fractions
        • 🎥 Solving for the missing fraction
    • Module 4: Multiplication and division of fractions and decimal fractions
      • Topic A: Line plots of fraction measurements
        • 🎥 Line plot distribution: trail mix
      • Topic B: Fractions as division
        • 🎥 Understanding fractions as division
        • 🎥 Creating mixed numbers with fraction division
        • 🎥 Mixed numbers on a number line
        • 🎥 Creating a fraction through division
      • Topic C: Multiplication of a whole number by a fraction
        • 🎥 Multiplying fractions by whole numbers on a number line
        • 🎥 Multiplying fractions and whole numbers visually
        • 🎥 Multiplying unit fractions and whole numbers
        • 🎥 Multiplying fractions and whole numbers
        • 🎥 Multiplying fractions word problem: movies
        • 🎥 Multiplying fractions word problem: milk
      • Topic D: Fraction expressions and word problems
        • 🎥 Constructing numerical expressions
        • 🎥 Evaluating expressions with & without parentheses
      • Topic E: Multiplication of a fraction by a fraction
        • 🎥 Intro to multiplying 2 fractions
        • 🎥 Multiplying 2 fractions: fraction model
        • 🎥 Multiplying 2 fractions: number line
        • 🎥 Multiplying 2 fractions: 5/6 x 2/3
        • 🎥 Multiplying mixed numbers
        • 🎥 Multiplying fractions word problem: laundry
        • 🎥 Multiplying fractions word problem: muffins
        • 🎥 Multiplying fractions word problem: bike
      • Topic F: Multiplication with fractions and decimals as scaling and word problems
        • 🎥 Multiplication as scaling with fractions
      • Topic G: Division of fractions and decimal fractions
        • 🎥 Visually dividing whole numbers by unit fractions
        • 🎥 Dividing a whole number by a unit fraction
        • 🎥 Visually dividing unit fraction by a whole number
        • 🎥 Dividing a unit fraction by a whole number
        • 🎥 Dividing whole numbers by fractions: word problem
        • 🎥 Dividing fractions by whole numbers: studying
        • 🎥 Rewriting a fraction as a decimal: 3/5
        • 🎥 Rewriting a fraction as a decimal: 21/60
      • Topic H: Interpretation of numerical expressions
        • 🎥 Translating expressions with parentheses
    • Module 5: Addition and multiplication with volume and area
      • Topic A: Concepts of volume
        • 🎥 Volume intro
        • 🎥 Measuring volume with unit cubes
        • 🎥 Measuring volume as area times length
      • Topic B: Volume and the operations of multiplication and addition
        • 🎥 Volume of a rectangular prism
        • 🎥 Volume in unit cubes by decomposing shape
        • 🎥 Volume through decomposition
        • 🎥 Volume word problem: water tank
      • Topic C: Area of rectangular figures with fractional side lengths
        • 🎥 Finding area with fractional sides 1
        • 🎥 Finding area with fractional sides 2
      • Topic D: Drawing, analysis, and classification of two-dimensional shapes
        • 🎥 Intro to quadrilateral
        • 🎥 Quadrilateral properties
        • 🎥 Kites as a geometric shape
        • 🎥 Quadrilateral types
        • 🎥 Classifying quadrilaterals
    • Module 6: Problem solving with the coordinate plane
      • Topic A: Coordinate systems
        • 🎥 Introduction to the coordinate plane
        • 🎥 Coordinate plane: graphing points
      • Topic B: Patterns in the coordinate plane and graphing number patterns from rules
        • 🎥 Graphing patterns on coordinate plane
        • 🎥 Interpreting patterns on coordinate plane
        • 🎥 Interpreting relationships in ordered pairs
        • 🎥 Graphing sequence relationships
      • Topic C: Drawing figures in the coordinate plane
      • Topic D: Problem solving in the coordinate plane
        • 🎥 Plotting corners of a rectangle
        • 🎥 Interpreting plotted points
        • 🎥 Coordinate plane graphing word problem
  • 6th grade (Eureka Math/EngageNY)
    • Module 1: Ratios and unit rates
      • Topic A: Representing and reasoning about ratios
        • 🎥 Intro to ratios
        • 🎥 Basic ratios
        • 🎥 Equivalent ratios
        • 🎥 Equivalent ratios: recipe
        • 🎥 Equivalent ratio word problems
        • 🎥 Understanding equivalent ratios
      • Topic B: Collections of equivalent ratios
        • 🎥 Part:whole ratios
        • 🎥 Part:whole ratio word problem
      • Topic C: Unit rates
        • 🎥 Intro to rates
        • 🎥 Solving unit rate problem
        • 🎥 Solving unit price problem
        • 🎥 Comparing rates example
      • Topic D: Percents
        • 🎥 The meaning of percent
        • 🎥 Meaning of 109%
        • 🎥 Converting percents to decimals & fractions example
        • 🎥 Converting decimals to percents: 0.601
        • 🎥 Converting decimals to percents: 1.501
        • 🎥 Converting percents to decimals: 59.2%
        • 🎥 Converting percents to decimals: 113.9%
        • 🎥 Finding a percent
        • 🎥 Percent of a whole number
        • 🎥 Percent word problem: 100 is what percent of 80?
        • 🎥 Percent word problem: 78 is 15% of what number?
        • 🎥 Percent word problem: guavas
        • 🎥 Percent word problem: penguins
        • 🎥 Percent word problem: recycling cans
    • Module 2: Arithmetic operations including dividing by a fraction
      • Topic A: Dividing fractions by fractions
        • 🎥 Understanding division of fractions
        • 🎥 Dividing a fraction by a whole number
        • 🎥 Dividing a whole number by a fraction
        • 🎥 Dividing fractions: 2/5 ÷ 7/3
        • 🎥 Dividing fractions: 3/5 ÷ 1/2
        • 🎥 Dividing mixed numbers
        • 🎥 Dividing whole numbers & fractions: t-shirts
      • Topic B: Multi‐digit decimal operations—adding, subtracting, and multiplying
        • 🎥 Adding decimals: 9.087+15.31
        • 🎥 Adding decimals: 0.822+5.65
        • 🎥 Adding three decimals
        • 🎥 Subtracting decimals: 39.1 - 0.794
        • 🎥 Subtracting decimals: 9.005 - 3.6
        • 🎥 Adding decimals word problem
        • 🎥 Adding & subtracting decimals word problem
        • 🎥 Intro to multiplying decimals
        • 🎥 Multiplying decimals: place value
        • 🎥 Multiplying challenging decimals
      • Topic C: Dividing whole numbers and decimals
        • 🎥 Dividing by 2-digits: 9815÷65
        • 🎥 Dividing by 2-digits: 7182÷42
        • 🎥 Dividing whole numbers to get a decimal
        • 🎥 Dividing a whole number by a decimal
        • 🎥 Dividing a decimal by a whole number
        • 🎥 Dividing decimals with hundredths
        • 🎥 Dividing decimals completely
        • 🎥 Long division with decimals
        • 🎥 Dividing by a multi-digit decimal
      • Topic D: Number theory—thinking logically about multiplicative arithmetic
        • 🎥 Divisibility tests for 2, 3, 4, 5, 6, 9, 10
        • 🎥 Recognizing divisibility
        • 🎥 The why of the 3 divisibility rule
        • 🎥 The why of the 9 divisibility rule
        • 🎥 Intro to even and odd numbers
        • 🎥 Greatest common factor examples
        • 🎥 Greatest common factor explained
        • 🎥 Least common multiple
        • 🎥 Least common multiple: repeating factors
        • 🎥 Least common multiple of three numbers
        • 🎥 GCF & LCM word problems
    • Module 3: Rational numbers
      • Topic A: Understanding positive and negative numbers on the number line
        • 🎥 Intro to negative numbers
        • 🎥 Negative decimals on the number line
        • 🎥 Decimals & fractions on the number line
        • 🎥 Missing numbers on the number line examples
        • 🎥 Number opposites
        • 🎥 Negative symbol as opposite
        • 🎥 Number opposites challenge problems
      • Topic B: Order and absolute value
        • 🎥 Ordering negative numbers
        • 🎥 Ordering rational numbers
        • 🎥 Negative numbers, variables, number line
        • 🎥 Absolute value examples
        • 🎥 Comparing absolute values
        • 🎥 Placing absolute values on the number line
        • 🎥 Comparing absolute values on the number line
        • 🎥 Testing solutions to absolute value inequalities
        • 🎥 Interpreting absolute value
      • Topic C: Rational numbers and the coordinate plane
        • 🎥 Points on the coordinate plane examples
        • 🎥 Finding the point not graphed
        • 🎥 Plotting a point (ordered pair)
        • 🎥 Quadrants of the coordinate plane
        • 🎥 Points and quadrants example
        • 🎥 Coordinate plane word problem examples
        • 🎥 Reflecting points in the coordinate plane
    • Module 4: Expressions and equations
      • Topic A: Relationships of the operations
      • Topic B: Special notations of operations
        • 🎥 Intro to exponents
        • 🎥 Comparing exponent expressions
        • 🎥 Exponents of decimals
        • 🎥 The zeroth power
        • 🎥 Powers of fractions
        • 🎥 Intro to order of operations
        • 🎥 Order of operations examples: exponents
        • 🎥 Order of operations example
        • 🎥 Worked example: Order of operations (PEMDAS)
        • 🎥 Order of operations example
      • Topic C: Replacing letters and numbers
        • 🎥 What is a variable?
      • Topic D: Expanding, factoring, and distributing expressions
        • 🎥 Expression value intuition
        • 🎥 Terms, factors, & coefficients
        • 🎥 Intro to combining like terms
        • 🎥 Combining like terms
        • 🎥 Combining like terms example
        • 🎥 Combining like terms with distribution
        • 🎥 Distributive property over addition
        • 🎥 Distributive property over subtraction
        • 🎥 Factor with the distributive property
        • 🎥 Distributive property with variables
        • 🎥 Equivalent expressions
      • Topic E: Expressing operations in algebraic form
        • 🎥 Writing basic expressions with variables
        • 🎥 Why aren't we using the multiplication sign?
        • 🎥 Writing expressions with variables
        • 🎥 Writing expressions with variables & parentheses
        • 🎥 Writing basic expressions word problems
        • 🎥 Writing expressions word problems
      • Topic F: Writing and evaluating expressions and formulas
        • 🎥 Evaluating an expression with one variable
        • 🎥 Evaluating expressions with variables: temperature
        • 🎥 Evaluating expressions with variables: cubes
        • 🎥 Evaluating expressions with variables: exponents
        • 🎥 Evaluating expressions with two variables
        • 🎥 Evaluating expressions with two variables: fractions & decimals
        • 🎥 Evaluating exponent expressions with variables
      • Topic G: Solving equations
        • 🎥 Variables, expressions, & equations
        • 🎥 Testing solutions to equations
        • 🎥 Same thing to both sides of equations
        • 🎥 Representing a relationship with an equation
        • 🎥 One-step equations intuition
        • 🎥 Dividing both sides of an equation
        • 🎥 One-step addition & subtraction equations
        • 🎥 One-step subtraction equations
        • 🎥 One-step addition & subtraction equations: fractions & decimals
        • 🎥 One-step multiplication equations
        • 🎥 One-step division equations
        • 🎥 One-step multiplication & division equations: fractions & decimals
        • 🎥 Finding mistakes in one-step equations
      • Topic H: Applications of equations
        • 🎥 One-step equations word problem: super yoga (1 of 2)
        • 🎥 One-step equations word problem: super yoga (2 of 2)
        • 🎥 Modeling with one-step equations
        • 🎥 Testing solutions to inequalities
        • 🎥 Plotting inequalities
        • 🎥 Plotting an inequality example
        • 🎥 Inequalities word problems
        • 🎥 Dependent & independent variables
        • 🎥 Dependent & independent variables: graphing
        • 🎥 Dependent & independent variables: equation
    • Module 5: Area, surface area, and volume problems
      • Topic A: Area of triangles, quadrilaterals, and polygons
        • 🎥 Area of a parallelogram
        • 🎥 Finding height of a parallelogram
        • 🎥 Area of a triangle
        • 🎥 Finding area of triangle
        • 🎥 Triangle missing side example
        • 🎥 Area of a triangle on a grid
        • 🎥 Area of a quadrilateral on a grid
        • 🎥 Area of trapezoids
        • 🎥 Area of kites
        • 🎥 Finding area by rearranging parts
        • 🎥 Area of composite shapes
      • Topic B: Polygons on the coordinate plane
        • 🎥 Drawing a quadrilateral on the coordinate plane example
        • 🎥 Coordinates of a missing vertex
        • 🎥 Area of a parallelogram on the coordinate plane
        • 🎥 Dimensions of a rectangle from coordinates
        • 🎥 Coordinates of rectangle example
        • 🎥 Example of shapes on a coordinate plane
        • 🎥 Parallelogram on the coordinate plane
      • Topic C: Volume of right rectangular prisms
        • 🎥 Volume with fractional cubes
        • 🎥 Volume of a rectangular prism: fractional dimensions
        • 🎥 How volume changes from changing dimensions
        • 🎥 Volume of a rectangular prism: word problem
      • Topic D: Nets and surface area
        • 🎥 Counting faces and edges of 3D shapes
        • 🎥 Recognizing common 3D shapes
        • 🎥 Intro to nets of polyhedra
        • 🎥 Surface area using a net: rectangular prism
        • 🎥 Surface area using a net: triangular prism
        • 🎥 Surface area of a box using nets
        • 🎥 Surface area of a box (cuboid)
        • 🎥 Surface area word problem example
    • Module 6: Statistics
      • Topic A: Understanding distributions
        • 🎥 Representing data
        • 🎥 Frequency tables & dot plots
        • 🎥 Statistical questions
        • 🎥 Creating a histogram
        • 🎥 Interpreting a histogram
      • Topic B: Summarizing a distribution that is approximately symmetric using the mean and mean absolute deviation
        • 🎥 Statistics intro: Mean, median, & mode
        • 🎥 Mean, median, & mode example
        • 🎥 Missing value given the mean
        • 🎥 Median & range puzzlers
        • 🎥 Impact on median & mean: removing an outlier
        • 🎥 Impact on median & mean: increasing an outlier
        • 🎥 Mean absolute deviation (MAD)
        • 🎥 Mean absolute deviation example
      • Topic C: Summarizing a distribution that is skewed using the median and the interquartile range
        • 🎥 Interquartile range (IQR)
        • 🎥 Constructing a box plot
        • 🎥 Reading box plots
        • 🎥 Worked example: Creating a box plot (odd number of data points)
        • 🎥 Worked example: Creating a box plot (even number of data points)
        • 🎥 Interpreting box plots
      • Topic D: Summarizing and describing distributions
        • 🎥 Comparing dot plots, histograms, and box plots
        • 🎥 Shapes of distributions
        • 🎥 Clusters, gaps, peaks & outliers
  • 7th grade (Eureka Math/EngageNY)
    • Module 1: Ratios and proportional relationships
      • Topic A: Proportional relationships
        • 🎥 Intro to proportional relationships
        • 🎥 Proportional relationships: spaghetti
        • 🎥 Proportional relationships: movie tickets
        • 🎥 Proportional relationships: bananas
        • 🎥 Proportional relationships: graphs
        • 🎥 Proportional relationships
        • 🎥 Is side length & perimeter proportional?
        • 🎥 Is side length & area proportional?
      • Topic B: Unit rate and constant of proportionality
        • 🎥 Intro to rates
        • 🎥 Solving unit rate problem
        • 🎥 Solving unit price problem
        • 🎥 Constant of proportionality from equation
        • 🎥 Identifying constant of proportionality graphically
        • 🎥 Constant of proportionality from table
        • 🎥 Comparing proportionality constants
        • 🎥 Interpret proportionality constants
        • 🎥 Worked example: Solving proportions
        • 🎥 Writing proportions example
        • 🎥 Proportion word problem: cookies
        • 🎥 Proportion word problem: hot dogs
        • 🎥 Equations for proportional relationships
        • 🎥 Writing proportional equations
        • 🎥 Interpreting graphs of proportional relationships
      • Topic C: Ratios and rates involving fractions
        • 🎥 Rates with fractions
      • Topic D: Ratios of scale drawings
        • 🎥 Exploring scale copies
        • 🎥 Corresponding points and sides of scaled shapes
        • 🎥 Identifying scale copies
        • 🎥 Identifying scale factors
        • 🎥 Identifying values in scale drawings
        • 🎥 Scale drawing: centimeters to kilometers
        • 🎥 Making a scale drawing
        • 🎥 Interpreting a scale drawing
        • 🎥 Solving a scale drawing word problem
    • Module 2: Rational numbers
      • Topic A: Addition and subtraction of integers and rational numbers
        • 🎥 Adding negative numbers example
        • 🎥 Adding & subtracting negative numbers
        • 🎥 Subtracting a negative = adding a positive
        • 🎥 Adding negative numbers on the number line
        • 🎥 Number equations & number lines
        • 🎥 Interpreting numeric expressions example
        • 🎥 Absolute value as distance between numbers
        • 🎥 Equivalent expressions with negative numbers
        • 🎥 Interpreting absolute value as distance
        • 🎥 Adding fractions with different signs
        • 🎥 Adding & subtracting fractions
        • 🎥 Comparing rational numbers
        • 🎥 Adding & subtracting rational numbers: 79% - 79.1 - 58 1/10
        • 🎥 Adding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150%
      • Topic B: Multiplication and division of integers and rational numbers
        • 🎥 Why a negative times a negative is a positive
        • 🎥 Why a negative times a negative makes sense
        • 🎥 Multiplying positive & negative numbers
        • 🎥 Dividing positive and negative numbers
        • 🎥 Decimal to simplified fraction
        • 🎥 Fraction to decimal: 11/25
        • 🎥 Worked example: Converting a fraction (7/8) to a decimal
        • 🎥 Fraction to decimal with rounding
        • 🎥 Multiplying positive and negative fractions
        • 🎥 Dividing negative fractions
        • 🎥 Negative signs in fractions
        • 🎥 Dividing mixed numbers
        • 🎥 Simplifying complex fractions
        • 🎥 Expressions with rational numbers
        • 🎥 Equivalent expressions with negative numbers (multiplication and division)
        • 🎥 Why dividing by zero is undefined
      • Topic C: Applying operations with rational numbers to expressions and equations
        • 🎥 Order of operations example
        • 🎥 Negative number word problem: temperatures
        • 🎥 Negative number word problem: Alaska
        • 🎥 Interpreting negative number statements
        • 🎥 Interpreting multiplication & division of negative numbers
        • 🎥 Addition & subtraction: find the missing value (part 1 of 2)
        • 🎥 Addition & subtraction: find the missing value (part 2 of 2)
        • 🎥 Substitution with negative numbers
        • 🎥 Ordering expressions
    • Module 3: Expressions and equations
      • Topic A: Use properties of operations to generate equivalent expressions
        • 🎥 Intro to combining like terms
        • 🎥 Simplifying expressions
        • 🎥 Combining like terms challenge problem
        • 🎥 Simplifying expressions with rational numbers
        • 🎥 The distributive property with variables
        • 🎥 Factoring with the distributive property
        • 🎥 Equivalent expressions: negative numbers & distribution
        • 🎥 Interpreting linear expressions: flowers
        • 🎥 Interpreting linear expressions: diamonds
      • Topic B: Solve problems using expressions, equations, and inequalities
        • 🎥 Intro to two-step equations
        • 🎥 Same thing to both sides of equations
        • 🎥 Two-step equations intuition
        • 🎥 Worked example: two-step equations
        • 🎥 Two-step equations with decimals and fractions
        • 🎥 Two-step equations with decimals and fractions
        • 🎥 Find the mistake: two-step equations
        • 🎥 Two-step equation word problem: computers
        • 🎥 Two-step equation word problem: garden
        • 🎥 Two-step equation word problem: oranges
        • 🎥 One-step inequalities examples
        • 🎥 One-step inequalities: -5c ≤ 15
        • 🎥 One-step inequality word problem
        • 🎥 Two-step inequalities
        • 🎥 Two-step inequality word problem: apples
        • 🎥 Two-step inequality word problem: R&B
      • Topic C: Use equations and inequalities to solve geometry problems
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Labeling parts of a circle
        • 🎥 Area of a circle
        • 🎥 Relating circumference and area
        • 🎥 Partial circle area and arc length
        • 🎥 Area of composite shapes
        • 🎥 Perimeter & area of composite shapes
        • 🎥 Surface area of a box (cuboid)
        • 🎥 Surface area of a box using nets
        • 🎥 Volume of triangular prism & cube
        • 🎥 Volume of a rectangular prism: fractional dimensions
        • 🎥 Volume with fractional cubes
    • Module 4: Percent and proportional relationships
      • Topic A: Finding the whole
        • 🎥 Finding a percent
        • 🎥 Percent word problem: 100 is what percent of 80?
        • 🎥 Percent word problem: 78 is 15% of what number?
        • 🎥 Percent word problem: penguins
        • 🎥 Percent word problem: recycling cans
        • 🎥 Percent word problem: guavas
        • 🎥 Growing by a percentage
      • Topic B: Percent problems including more than one whole
        • 🎥 Solving percent problems
        • 🎥 Percent word problem: magic club
        • 🎥 Percent word problems: tax and discount
      • Topic C: Scale drawings
        • 🎥 Exploring scale copies
        • 🎥 Corresponding points and sides of scaled shapes
        • 🎥 Identifying scale copies
        • 🎥 Identifying scale factors
        • 🎥 Identifying values in scale drawings
        • 🎥 Solving a scale drawing word problem
        • 🎥 Interpreting a scale drawing
        • 🎥 Making a scale drawing
        • 🎥 Scale factors and area
      • Topic D: Population, mixture, and counting problems involving percents
    • Module 5: Statistics and probability
      • Topic A: Calculating and interpreting probabilities
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
        • 🎥 Experimental probability
        • 🎥 Sample spaces for compound events
        • 🎥 Die rolling probability
        • 🎥 Probability of a compound event
        • 🎥 Count outcomes using tree diagram
        • 🎥 Counting outcomes: flower pots
      • Topic B: Estimating probabilities
        • 🎥 Theoretical and experimental probabilites
        • 🎥 Intuitive sense of probabilities
        • 🎥 Making predictions with probability
        • 🎥 Probability models example: frozen yogurt
      • Topic C: Random sampling and estimating population characteristics
        • 🎥 Reasonable samples
      • Topic D: Comparing populations
        • 🎥 Comparing distributions with dot plots (example problem)
    • Module 6: Geometry
      • Topic A: Unknown angles
        • 🎥 Angles: introduction
        • 🎥 Complementary & supplementary angles
        • 🎥 Vertical angles
        • 🎥 Find measure of vertical angles
        • 🎥 Find measure of angles word problem
        • 🎥 Equation practice with supplementary angles
        • 🎥 Equation practice with complementary angles
      • Topic B: Constructing triangles
        • 🎥 Construct a right isosceles triangle
        • 🎥 Construct a triangle with constraints
        • 🎥 Triangle inequality theorem
        • 🎥 Ordering triangle sides and angles example
      • Topic C: Slicing solids
        • 🎥 Slicing a rectangular pyramid
        • 🎥 Ways to cross-section a cube
      • Topic D: Problems involving area and surface area
        • 🎥 Finding circumference of a circle when given the area
        • 🎥 Area of a shaded region
        • 🎥 Impact of increasing the radius
      • Topic E: Problems involving volume
        • 🎥 Volume word problem: gold ring
        • 🎥 Volume of triangular prism & cube
        • 🎥 Volume of rectangles inside rectangles
        • 🎥 Volume of a rectangular prism: word problem
  • 8th grade (Eureka Math/EngageNY)
    • Module 1: Integer exponents and scientific notation
      • Topic A: Exponential notation and properties of integer exponents
        • 🎥 Exponent properties with products
        • 🎥 Exponent properties with parentheses
        • 🎥 Exponent properties with quotients
        • 🎥 Negative exponents
        • 🎥 Negative exponent intuition
        • 🎥 Powers of zero
        • 🎥 Multiplying multiples of powers of 10
        • 🎥 Approximating with powers of 10
      • Topic B: Magnitude and scientific notation
        • 🎥 Scientific notation examples
        • 🎥 Scientific notation example: 0.0000000003457
        • 🎥 Multiplying in scientific notation example
        • 🎥 Multiplying & dividing in scientific notation
        • 🎥 Multiplying three numbers in scientific notation
        • 🎥 Subtracting in scientific notation
        • 🎥 Simplifying in scientific notation challenge
        • 🎥 Scientific notation word problem: red blood cells
        • 🎥 Scientific notation word problem: U.S. national debt
        • 🎥 Scientific notation word problem: speed of light
    • Module 2: The concept of congruence
      • Topic A: Definitions and properties of the basic rigid motions
        • 🎥 Introduction to geometric transformations
        • 🎥 Identifying type of transformation
        • 🎥 Performing translations
        • 🎥 Translating shapes
        • 🎥 Determining translations
        • 🎥 Performing rotations
        • 🎥 Determining rotations
        • 🎥 Performing reflections
        • 🎥 Reflecting shapes: diagonal line of reflection
        • 🎥 Determining reflections (advanced)
      • Topic B: Sequencing the basic rigid motions
        • 🎥 Congruent shapes & transformations
        • 🎥 Non-congruent shapes & transformations
      • Topic C: Congruence and angle relationships
        • 🎥 Congruence and similarity — Basic example
        • 🎥 Congruence and similarity — Harder example
        • 🎥 Angles, parallel lines, & transversals
        • 🎥 Parallel & perpendicular lines
        • 🎥 Missing angles with a transversal
        • 🎥 Measures of angles formed by a transversal
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Triangle exterior angle example
        • 🎥 Worked example: Triangle angles (intersecting lines)
        • 🎥 Worked example: Triangle angles (diagram)
        • 🎥 Triangle angle challenge problem
        • 🎥 Triangle angle challenge problem 2
      • Topic D: The Pythagorean theorem
    • Module 3: Similarity
      • Topic A: Dilation
        • 🎥 Dilating shapes: expanding
        • 🎥 Dilating shapes: shrinking
        • 🎥 Performing dilations
        • 🎥 Side lengths after dilation
      • Topic B: Similar figures
        • 🎥 Intro to triangle similarity
        • 🎥 Triangle similarity postulates/criteria
        • 🎥 Determining similar triangles
        • 🎥 Similar shapes & transformations
      • Topic C: The Pythagorean theorem
        • 🎥 Intro to the Pythagorean theorem
        • 🎥 Pythagorean theorem example
        • 🎥 Pythagorean theorem word problem: carpet
        • 🎥 Pythagorean theorem with isosceles triangle
        • 🎥 Thiago asks: How much time does a goalkeeper have to react to a penalty kick?
        • 🎥 Garfield's proof of the Pythagorean theorem
        • 🎥 Bhaskara's proof of the Pythagorean theorem
        • 🎥 Pythagorean theorem proof using similarity
        • 🎥 Another Pythagorean theorem proof
    • Module 4: Linear equations
      • Topic A: Writing and solving linear equations
        • 🎥 Intro to equations with variables on both sides
        • 🎥 Equations with variables on both sides: 20-7x=6x-6
        • 🎥 Equation with variables on both sides: fractions
        • 🎥 Equation with the variable in the denominator
        • 🎥 Equations with parentheses
        • 🎥 Number of solutions to equations
        • 🎥 Worked example: number of solutions to equations
        • 🎥 Creating an equation with no solutions
        • 🎥 Creating an equation with infinitely many solutions
      • Topic B: Linear equations in two variables and their graphs
        • 🎥 Rates & proportional relationships example
        • 🎥 Rates & proportional relationships: gas mileage
        • 🎥 Graphing proportional relationships: unit rate
        • 🎥 Graphing proportional relationships from a table
        • 🎥 Graphing proportional relationships from an equation
        • 🎥 Points on the coordinate plane examples
        • 🎥 Testing solutions to linear equations
        • 🎥 Graphing a linear equation: 5x+2y=20
        • 🎥 Graphing a linear equation: y=2x+7
      • Topic C: Slope and equations of lines
        • 🎥 x-intercept of a line
        • 🎥 Intercepts from a table
        • 🎥 Intercepts from an equation
        • 🎥 Worked example: intercepts from an equation
        • 🎥 Slope & direction of a line
        • 🎥 Worked example: slope from graph
        • 🎥 Slope of a line: negative slope
        • 🎥 Worked example: slope from two points
        • 🎥 Slope of a horizontal line
        • 🎥 Converting to slope-intercept form
        • 🎥 Proving slope is constant using similarity
        • 🎥 Intro to point-slope form
        • 🎥 Graph from slope-intercept equation
        • 🎥 Slope-intercept equation from graph
        • 🎥 Slope-intercept equation from slope & point
        • 🎥 Slope-intercept equation from two points
        • 🎥 Slope-intercept form from a table
        • 🎥 Slope-intercept form problems
      • Topic D: Systems of linear equations and their solutions
        • 🎥 Systems of equations: trolls, tolls (1 of 2)
        • 🎥 Systems of equations: trolls, tolls (2 of 2)
        • 🎥 Testing a solution to a system of equations
        • 🎥 Systems of equations with graphing
        • 🎥 Systems of equations with graphing: 5x+3y=7 & 3x-2y=8
        • 🎥 Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
        • 🎥 Systems of equations with graphing: chores
        • 🎥 Systems of equations with elimination: 3t+4g=6 & -6t+g=6
        • 🎥 Systems of equations with elimination: x+2y=6 & 4x-2y=14
        • 🎥 Systems of equations with elimination: -3y+4x=11 & y+2x=13
        • 🎥 Systems of equations with elimination: 2x-y=14 & -6x+3y=-42
        • 🎥 Systems of equations with elimination: 4x-2y=5 & 2x-y=2.5
        • 🎥 Systems of equations with elimination: x-4y=-18 & -x+3y=11
        • 🎥 Systems of equations with elimination: 6x-6y=-24 & -5x-5y=-60
        • 🎥 Systems of equations with substitution: 2y=x+7 & x=y-4
        • 🎥 Systems of equations with substitution: y=4x-17.5 & y+2x=6.5
        • 🎥 Systems of equations with substitution: -3x-4y=-2 & y=2x-5
        • 🎥 Systems of equations with substitution: 9x+3y=15 & y-x=5
        • 🎥 Systems of equations with substitution: y=-5x+8 & 10x+2y=-2
        • 🎥 Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120
        • 🎥 Systems of equations with elimination: apples and oranges
        • 🎥 Systems of equations with elimination: TV & DVD
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: Sum/difference of numbers
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with elimination: coffee and croissants
        • 🎥 Systems of equations with substitution: coins
        • 🎥 Systems of equations with substitution: potato chips
        • 🎥 Systems of equations with substitution: shelves
        • 🎥 Age word problem: Imran
        • 🎥 Age word problem: Ben & William
        • 🎥 Age word problem: Arman & Diya
        • 🎥 Solutions to systems of equations: consistent vs. inconsistent
        • 🎥 Systems of equations number of solutions: fruit prices (1 of 2)
        • 🎥 Systems of equations number of solutions: fruit prices (2 of 2)
        • 🎥 Systems of equations number of solutions: y=3x+1 & 2y+4=6x
        • 🎥 Solutions to systems of equations: dependent vs. independent
        • 🎥 Number of solutions to a system of equations graphically
        • 🎥 Forming systems of equations with different numbers of solutions
        • 🎥 Comparing Celsius and Fahrenheit temperature scales
        • 🎥 Converting Fahrenheit to Celsius
    • Module 5: Examples of functions from geometry
      • Topic A: Functions
        • 🎥 What is a function?
        • 🎥 Worked example: Evaluating functions from equation
        • 🎥 Worked example: evaluating functions from graph
        • 🎥 Function notation example
        • 🎥 Equations vs. functions
        • 🎥 Manipulating formulas: temperature
        • 🎥 Testing if a relationship is a function
        • 🎥 Relations and functions
        • 🎥 Recognizing functions from graph
        • 🎥 Checking if a table represents a function
        • 🎥 Recognizing functions from verbal description
        • 🎥 Recognizing functions from table
        • 🎥 Recognizing functions from verbal description word problem
        • 🎥 Checking if an equation represents a function
        • 🎥 Does a vertical line represent a function?
      • Topic B: Volume
        • 🎥 Cylinder volume & surface area
        • 🎥 Volume of a sphere
        • 🎥 Volume of a cone
    • Module 6: Linear functions
      • Topic A: Linear functions
        • 🎥 Recognizing linear functions
        • 🎥 Linear & nonlinear functions: table
        • 🎥 Linear & nonlinear functions: word problem
        • 🎥 Linear & nonlinear functions: missing value
        • 🎥 Interpreting a graph example
        • 🎥 Comparing linear functions: equation vs. graph
        • 🎥 Comparing linear functions: table vs. graph
        • 🎥 Comparing linear functions: table vs. graph
      • Topic B: Bivariate numerical data
        • 🎥 Constructing a scatter plot
        • 🎥 Scatter plots: studying, shoe size, and test scores
        • 🎥 Scatter plot: smokers
        • 🎥 Estimating the line of best fit exercise
        • 🎥 Line of best fit: smoking in 1945
        • 🎥 Interpreting a trend line
      • Topic C: Linear and nonlinear models
        • 🎥 Linear graphs word problems
        • 🎥 Linear graphs word problem: cats
        • 🎥 Linear equations word problems: volcano
        • 🎥 Linear equations word problems: earnings
        • 🎥 Modeling with linear equations: snow
        • 🎥 Comparing linear functions word problem: climb
        • 🎥 Comparing linear functions word problem: walk
        • 🎥 Comparing linear functions word problem: work
        • 🎥 Linear function example: spending money
        • 🎥 Modeling with linear equations: gym membership & lemonade
        • 🎥 Fitting a line to data
      • Topic D: Bivariate categorical data
        • 🎥 Two-way frequency tables and Venn diagrams
        • 🎥 Two-way relative frequency tables
        • 🎥 Interpreting two-way tables
    • Module 7: Introduction to irrational numbers using geometry
      • Topic A: Square and cube roots
        • 🎥 Intro to square roots
        • 🎥 Intro to cube roots
        • 🎥 Worked example: Cube root of a negative number
        • 🎥 Square root of decimal
        • 🎥 Dimensions of a cube from its volume
        • 🎥 Intro to rational & irrational numbers
        • 🎥 Classifying numbers: rational & irrational
        • 🎥 Classifying numbers
        • 🎥 Approximating square roots
        • 🎥 Approximating square roots to hundredths
      • Topic B: Decimal expansions of numbers
        • 🎥 Converting a fraction to a repeating decimal
        • 🎥 Converting repeating decimals to fractions (part 1 of 2)
        • 🎥 Converting repeating decimals to fractions (part 2 of 2)
        • 🎥 Comparing irrational numbers with radicals
        • 🎥 Comparing values with calculator
      • Topic C: The Pythagorean theorem
        • 🎥 Finding distance with Pythagorean theorem
        • 🎥 Distance formula
        • 🎥 Use Pythagorean theorem to find area of an isosceles triangle
        • 🎥 Pythagorean theorem word problem: carpet
        • 🎥 Pythagorean theorem word problem: fishing boat
        • 🎥 Pythagorean theorem in 3D
      • Topic D: Applications of radicals and roots
  • Algebra I (Eureka Math/EngageNY)
    • Module 1: Relationships between quantities and reasoning with equations and their graphs
      • Topic A: Lessons 1-3: Piecewise, quadratic, and exponential functions
        • 🎥 Introduction to piecewise functions
        • 🎥 Worked example: evaluating piecewise functions
        • 🎥 Parabolas intro
        • 🎥 Intro to exponential functions
        • 🎥 Exponential vs. linear growth
        • 🎥 Exponential vs. linear models: verbal
        • 🎥 Exponential vs. linear models: table
      • Topic A: Lessons 4-5: Analyzing graphs
        • 🎥 Graph interpretation word problem: temperature
        • 🎥 Graph interpretation word problem: basketball
        • 🎥 Linear graphs word problems
        • 🎥 Linear graphs word problem: cats
        • 🎥 System of equations word problem: walk & ride
      • Topic B: Lessons 6-7: Distributive, commutative, and associative properties
      • Topic B: Lesson 8: Adding and subtracting polynomials
        • 🎥 Polynomials intro
        • 🎥 The parts of polynomial expressions
        • 🎥 Evaluating polynomials
        • 🎥 Simplifying polynomials
        • 🎥 Adding polynomials
        • 🎥 Subtracting polynomials
        • 🎥 Polynomial subtraction & set closure
        • 🎥 Adding & subtracting multiple polynomials
      • Topic B: Lesson 8: Adding and subtracting polynomials with 2 variables
        • 🎥 Adding polynomials: two variables
        • 🎥 Subtracting polynomials: two variables
        • 🎥 Subtracting polynomials: two variables challenge
        • 🎥 Finding an error in polynomial subtraction
      • Topic B: Lesson 9: Multiplying monomials
        • 🎥 Multiplying monomials
        • 🎥 Multiplying monomials to find area: two variables
        • 🎥 Multiplying monomials to find area
        • 🎥 Multiplying monomials challenge
      • Topic B: Lesson 9: Multiplying monomials by polynomials
        • 🎥 Multiplying monomials by polynomials: area model
        • 🎥 Multiplying monomials by polynomials
        • 🎥 Multiplying monomials by polynomials challenge
      • Topic B: Lesson 9: Multiplying binomials
        • 🎥 Multiplying binomials: area model
        • 🎥 Multiplying binomials intro
        • 🎥 Multiplying binomials
      • Topic C: Lessons 10-13: Solving Equations
        • 🎥 Testing solutions to equations
        • 🎥 Number of solutions to equations
        • 🎥 Worked example: number of solutions to equations
        • 🎥 Creating an equation with no solutions
        • 🎥 Creating an equation with infinitely many solutions
        • 🎥 Same thing to both sides of equations
        • 🎥 Representing a relationship with an equation
        • 🎥 Dividing both sides of an equation
        • 🎥 Why we do the same thing to both sides: Variable on both sides
      • Topic C: Lesson 14: Solving inequalities
        • 🎥 Testing solutions to inequalities
        • 🎥 Plotting inequalities
        • 🎥 Plotting an inequality example
        • 🎥 One-step inequalities examples
        • 🎥 One-step inequalities: -5c ≤ 15
        • 🎥 Two-step inequalities
        • 🎥 Inequalities with variables on both sides
        • 🎥 Inequalities with variables on both sides (with parentheses)
        • 🎥 Multi-step inequalities
      • Topic C: Lessons 15-16 Compound inequalities
        • 🎥 Compound inequalities: OR
        • 🎥 Compound inequalities: AND
        • 🎥 A compound inequality with no solution
        • 🎥 Double inequalities
        • 🎥 Compound inequalities examples
      • Topic C: Lessons 17-19: Advanced equations
        • 🎥 Zero product property
        • 🎥 Solving quadratics by factoring
        • 🎥 Linear equations with unknown coefficients
      • Topic C: Lesson 20: Solution sets to equations with two variables
        • 🎥 Two-variable linear equations intro
        • 🎥 Solutions to 2-variable equations
        • 🎥 Worked example: solutions to 2-variable equations
        • 🎥 Completing solutions to 2-variable equations
      • Topic C: Lesson 21: Solution sets to inequalities with two variables
        • 🎥 Testing solutions to inequalities
        • 🎥 Intro to graphing two-variable inequalities
        • 🎥 Graphing two-variable inequalities
        • 🎥 Two-variable inequalities from their graphs
      • Topic C: Lesson 22: Solution sets to simultaneous equations
        • 🎥 Testing a solution to a system of equations
        • 🎥 Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
        • 🎥 Systems of equations with graphing: exact & approximate solutions
        • 🎥 Testing solutions to systems of inequalities
        • 🎥 Intro to graphing systems of inequalities
        • 🎥 Graphing systems of inequalities
      • Topic C: Lesson 23: Solution sets to simultaneous equations
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: x-4y=-18 & -x+3y=11
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with elimination (and manipulation)
        • 🎥 Why can we subtract one equation from the other in a system of equations?
        • 🎥 Worked example: equivalent systems of equations
        • 🎥 Worked example: non-equivalent systems of equations
      • Topic C: Lesson 24: Applications of systems of equations and inequalities
        • 🎥 Age word problem: Imran
        • 🎥 Age word problem: Ben & William
        • 🎥 Age word problem: Arman & Diya
        • 🎥 Modeling with systems of inequalities
        • 🎥 Writing systems of inequalities word problem
        • 🎥 Solving systems of inequalities word problem
        • 🎥 Graphs of systems of inequalities word problem
      • Topic D: Creating equations to solve problems
        • 🎥 Worked example: Rate problem
        • 🎥 Sequences intro
        • 🎥 Evaluating sequences in recursive form
    • Module 2: Descriptive statistics
      • Topic A: Lesson 1: Dot plots and histograms
        • 🎥 Representing data
        • 🎥 Frequency tables & dot plots
        • 🎥 Creating a histogram
        • 🎥 Interpreting a histogram
      • Topic A: Lesson 1: Box plots and shape
        • 🎥 Worked example: Creating a box plot (odd number of data points)
        • 🎥 Worked example: Creating a box plot (even number of data points)
        • 🎥 Constructing a box plot
        • 🎥 Reading box plots
        • 🎥 Shapes of distributions
      • Topic A: Lesson 2: Describing the center of a distribution
        • 🎥 Statistics intro: Mean, median, & mode
        • 🎥 Mean, median, & mode example
      • Topic A: Lesson 3: Estimating centers and interpreting the mean as a balance point
        • 🎥 Comparing means of distributions
        • 🎥 Means and medians of different distributions
        • 🎥 Impact on median & mean: removing an outlier
        • 🎥 Impact on median & mean: increasing an outlier
        • 🎥 Missing value given the mean
      • Topic B: Lesson 4: Summarizing deviations from the mean
        • 🎥 Example: Comparing distributions
        • 🎥 Mean absolute deviation example
      • Topic B: Lessons 5-6: Standard deviation and variability
        • 🎥 Population standard deviation
        • 🎥 Sample standard deviation and bias
      • Topic B: Lesson 7: Measuring variability for skewed distributions (interquartile range)
        • 🎥 Interquartile range (IQR)
        • 🎥 Interpreting box plots
        • 🎥 Judging outliers in a dataset
      • Topic B: Lesson 8: Comparing distributions
        • 🎥 Comparing distributions with dot plots (example problem)
        • 🎥 Comparing dot plots, histograms, and box plots
      • Topic C: Lessons 9-10: Bivariate categorical data
        • 🎥 Two-way frequency tables and Venn diagrams
        • 🎥 Two-way relative frequency tables
      • Topic C: Lesson 11: Conditional relative frequencies and association
        • 🎥 Interpreting two-way tables
        • 🎥 Categorical data example
        • 🎥 Analyzing trends in categorical data
      • Topic D: Lessons 12-13: Relationships between two numerical variables
        • 🎥 Constructing a scatter plot
        • 🎥 Scatter plots: studying, shoe size, and test scores
      • Topic D: Lesson 14: Modeling relationships with a line
        • 🎥 Fitting a line to data
        • 🎥 Estimating the line of best fit exercise
        • 🎥 Estimating with linear regression (linear models)
        • 🎥 Interpreting slope of regression line
        • 🎥 Interpreting y-intercept in regression model
      • Topic D: Lessons 15-18: Residuals
        • 🎥 Introduction to residuals and least squares regression
        • 🎥 Calculating residual example
        • 🎥 Residual plots
      • Topic D: Lesson 19: Interpreting correlation
        • 🎥 Bivariate relationship linearity, strength and direction
        • 🎥 Example: Correlation coefficient intuition
        • 🎥 Correlation and causality
        • 🎥 Calculating correlation coefficient r
    • Module 3: Linear and exponential functions
      • Topic A: Lessons 1-3: Arithmetic sequence intro
        • 🎥 Sequences intro
        • 🎥 Intro to arithmetic sequences
        • 🎥 Extending arithmetic sequences
        • 🎥 Using arithmetic sequences formulas
        • 🎥 Worked example: using recursive formula for arithmetic sequence
      • Topic A: Lessons 1-3: Geometric sequence intro
        • 🎥 Intro to geometric sequences
        • 🎥 Extending geometric sequences
        • 🎥 Using explicit formulas of geometric sequences
        • 🎥 Using recursive formulas of geometric sequences
      • Topic A: Lessons 1-3: Arithmetic sequence formulas
        • 🎥 Explicit formulas for arithmetic sequences
        • 🎥 Arithmetic sequence problem
        • 🎥 Recursive formulas for arithmetic sequences
        • 🎥 Converting recursive & explicit forms of arithmetic sequences
      • Topic A: Lessons 1-3: Geometric sequence formulas
        • 🎥 Explicit & recursive formulas for geometric sequences
        • 🎥 Converting recursive & explicit forms of geometric sequences
        • 🎥 Sequences word problems
      • Topic A: Lessons 4-6: Exponential growth
        • 🎥 Intro to exponential functions
        • 🎥 Exponential vs. linear growth
        • 🎥 Exponential vs. linear models: verbal
        • 🎥 Exponential vs. linear models: table
        • 🎥 Exponential expressions word problems (numerical)
        • 🎥 Initial value & common ratio of exponential functions
        • 🎥 Exponential expressions word problems (algebraic)
        • 🎥 Interpreting exponential expression word problem
      • Topic A: Lesson 7: Exponential decay
        • 🎥 Exponential function graph
        • 🎥 Graphs of exponential growth
        • 🎥 Exponential decay intro
        • 🎥 Graphing exponential growth & decay
        • 🎥 Exponential growth & decay word problems
      • Topic B: Lessons 8-12: Functions intro
        • 🎥 What is a function?
        • 🎥 Worked example: Evaluating functions from equation
        • 🎥 Worked example: evaluating functions from graph
        • 🎥 Worked example: evaluating expressions with function notation
      • Topic B: Lessons 8-12: Function domain and range
        • 🎥 What is the domain of a function?
        • 🎥 What is the range of a function?
        • 🎥 Intervals and interval notation
        • 🎥 Worked example: domain and range from graph
        • 🎥 Domain of a radical function
        • 🎥 Worked example: domain of algebraic functions
      • Topic B: Lessons 8-12: Recognizing functions
        • 🎥 Recognizing functions from graph
        • 🎥 Does a vertical line represent a function?
        • 🎥 Recognizing functions from table
        • 🎥 Recognizing functions from verbal description
        • 🎥 Recognizing functions from verbal description word problem
      • Topic B: Lesson 13: Interpreting the graph of a function
        • 🎥 Increasing, decreasing, positive or negative intervals
        • 🎥 Worked example: positive & negative intervals
        • 🎥 Introduction to minimum and maximum points
        • 🎥 Worked example: relative maxima and minima
        • 🎥 Graph interpretation word problem: temperature
        • 🎥 Graph interpretation word problem: basketball
      • Topic B: Lesson 14: Linear and exponential Models—comparing growth rates
        • 🎥 Exponential vs. linear growth over time
      • Topic C: Lesson 15: Piecewise functions
        • 🎥 Introduction to piecewise functions
        • 🎥 Worked example: evaluating piecewise functions
        • 🎥 Worked example: graphing piecewise functions
        • 🎥 Worked example: domain & range of step function
        • 🎥 Worked example: domain & range of piecewise linear functions
      • Topic C: Lessons 16-20: Graphing absolute value functions
        • 🎥 Shifting absolute value graphs
        • 🎥 Scaling & reflecting absolute value functions: equation
        • 🎥 Scaling & reflecting absolute value functions: graph
        • 🎥 Graphing absolute value functions
      • Topic D: Using functions and graphs to solve problems
    • Module 4: Polynomial and quadratic expressions, equations, and functions
      • Topic A: Lessons 1-2: Factoring monomials
        • 🎥 Intro to factors & divisibility
        • 🎥 Monomial factorization
        • 🎥 Worked example: finding the missing monomial factor
        • 🎥 Worked example: finding missing monomial side in area model
      • Topic A: Lessons 1-2: Common factor
        • 🎥 Greatest common factor of monomials
        • 🎥 Factoring with the distributive property
        • 🎥 Factoring binomials: common factor
        • 🎥 Factoring polynomials: common factor
        • 🎥 Factoring polynomials: common factor area model
        • 🎥 Factoring polynomials: common binomial factor
      • Topic A: Lessons 1-2: Factoring binomials intro
        • 🎥 Difference of squares intro
        • 🎥 Perfect square factorization intro
        • 🎥 Factoring quadratics as (x+a)(x+b)
        • 🎥 Factoring quadratics as (x+a)(x+b) (example 2)
        • 🎥 More examples of factoring quadratics as (x+a)(x+b)
      • Topic A: Lessons 3-4: Special forms
        • 🎥 Factoring difference of squares: leading coefficient ≠ 1
        • 🎥 Factoring difference of squares: analyzing factorization
        • 🎥 Factoring difference of squares: missing values
        • 🎥 Factoring difference of squares: shared factors
        • 🎥 Factoring perfect squares
        • 🎥 Identifying perfect square form
        • 🎥 Factoring perfect squares: common factor
        • 🎥 Factoring perfect squares: negative common factor
        • 🎥 Factoring perfect squares: missing values
        • 🎥 Factoring perfect squares: shared factors
      • Topic A: Lessons 3-4: Factoring by grouping
        • 🎥 Intro to grouping
        • 🎥 Factoring quadratics by grouping
        • 🎥 Strategy in factoring quadratics (part 1 of 2)
        • 🎥 Strategy in factoring quadratics (part 2 of 2)
      • Topic A: Lesson 5: The zero product property
        • 🎥 Zero product property
        • 🎥 Solving quadratics by factoring
        • 🎥 Solving quadratics by factoring: leading coefficient ≠ 1
        • 🎥 Solving quadratics using structure
      • Topic A: Lessons 6-7: Solving basic one-variable quadratic equations
        • 🎥 Solving quadratics by taking square roots
        • 🎥 Solving quadratics by taking square roots examples
        • 🎥 Solving quadratics by taking square roots: strategy
        • 🎥 Quadratics by taking square roots: with steps
        • 🎥 Quadratic equations word problem: triangle dimensions
        • 🎥 Quadratic equations word problem: box dimensions
      • Topic A: Lessons 8-10: Parabolas intro
        • 🎥 Parabolas intro
        • 🎥 Graphing quadratics in factored form
        • 🎥 Quadratic word problems (factored form)
      • Topic B: Lessons 11-13: Completing the square
        • 🎥 Completing the square
        • 🎥 Worked example: Completing the square (intro)
        • 🎥 Worked example: Rewriting expressions by completing the square
        • 🎥 Worked example: Solving equations by completing the square
        • 🎥 Worked example: completing the square (leading coefficient ≠ 1)
        • 🎥 Solving quadratics by completing the square: no solution
      • Topic B: Lessons 14-15: The quadratic formula
        • 🎥 The quadratic formula
        • 🎥 Using the quadratic formula
        • 🎥 Worked example: quadratic formula
        • 🎥 Worked example: quadratic formula (example 2)
        • 🎥 Worked example: quadratic formula (negative coefficients)
        • 🎥 Using the quadratic formula: number of solutions
        • 🎥 Proof of the quadratic formula
      • Topic B: Lesson 16: Graphing quadratic equations from the vertex form
        • 🎥 Vertex form introduction
        • 🎥 Vertex & axis of symmetry of a parabola
        • 🎥 Graphing quadratics: vertex form
        • 🎥 Quadratic word problems (vertex form)
      • Topic B: Lesson 17: Graphing quadratic functions from the standard form
        • 🎥 Finding the vertex of a parabola in standard form
        • 🎥 Graphing quadratics: standard form
        • 🎥 Quadratic word problem: ball
        • 🎥 Forms & features of quadratic functions
        • 🎥 Worked examples: Forms & features of quadratic functions
        • 🎥 Finding features of quadratic functions
      • Topic C: Lessons 18-19: Translating graphs of functions
        • 🎥 Intro to parabola transformations
        • 🎥 Shifting parabolas
        • 🎥 Shifting functions
        • 🎥 Graphing shifted functions
      • Topic C: Lessons 20-22: Scaling and transforming graphs
        • 🎥 Scaling & reflecting parabolas
        • 🎥 Shifting & reflecting functions
        • 🎥 Compressing functions
        • 🎥 Reflecting & compressing functions
        • 🎥 Transforming the square-root function
        • 🎥 Graphs of square-root functions
        • 🎥 Square-root functions & their graphs
      • Topic C: Lessons 23–24: Modeling with quadratic functions
    • Module 5: A synthesis of modeling with equations and functions
      • Module 5: A synthesis of modeling with equations and functions
  • Geometry (Eureka Math/EngageNY)
    • Module 1: Congruence, proof, and constructions
      • Topic A: Basic constructions
        • 🎥 Geometric constructions: angle bisector
        • 🎥 Geometric constructions: perpendicular line
        • 🎥 Geometric constructions: perpendicular bisector
      • Topic B: Lesson 6: Solve for unknown angles—angles and lines at a point
        • 🎥 Equation practice with vertical angles
        • 🎥 Complementary & supplementary angles
        • 🎥 Equation practice with complementary angles
        • 🎥 Equation practice with supplementary angles
      • Topic B: Lesson 7: Solve for unknown angles—transversals
        • 🎥 Angles, parallel lines, & transversals
        • 🎥 Parallel & perpendicular lines
        • 🎥 Missing angles with a transversal
        • 🎥 Measures of angles formed by a transversal
      • Topic B: Lesson 8: Solve for unknown angles—angles in a triangle
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Triangle exterior angle example
        • 🎥 Worked example: Triangle angles (intersecting lines)
        • 🎥 Worked example: Triangle angles (diagram)
        • 🎥 Triangle angle challenge problem 2
        • 🎥 Proving angles are congruent
      • Topic B: Lessons 9-11: Unknown angle proofs
      • Topic C: Lesson 12: Transformations—The next level
        • 🎥 Rigid transformations intro
      • Topic C: Lesson 13: Rotations
        • 🎥 Rotating shapes
        • 🎥 Determining rotations
      • Topic C: Lesson 14: Reflections
        • 🎥 Reflecting shapes: diagonal line of reflection
        • 🎥 Determining reflections (advanced)
      • Topic C: Lesson 15: Rotations, reflections, and symmetry
        • 🎥 Intro to reflective symmetry
        • 🎥 Intro to rotational symmetry
        • 🎥 Finding a quadrilateral from its symmetries
        • 🎥 Finding a quadrilateral from its symmetries (example 2)
      • Topic C: Lesson 16: Translations
        • 🎥 Translating shapes
        • 🎥 Determining translations
      • Topic C: Lessons 17-21: Applications of transformations
        • 🎥 Proofs with transformations
      • Topic D: Lessons 22-25: Congruence criteria
        • 🎥 Congruent triangles & the SSS postulate/criterion
        • 🎥 Triangle congruence postulates/criteria
        • 🎥 Why SSA isn't a congruence postulate/criterion
        • 🎥 Determining congruent triangles
        • 🎥 Proofs concerning isosceles triangles
        • 🎥 Proofs concerning equilateral triangles
        • 🎥 Isosceles & equilateral triangles problems
        • 🎥 Corresponding angles in congruent triangles
      • Topic D: Lessons 26-27: Triangle congruency proofs
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Geometry proof problem: midpoint
        • 🎥 Geometry proof problem: congruent segments
        • 🎥 Geometry proof problem: squared circle
      • Topic E: Proving properties of geometric figures
        • 🎥 Proof: Opposite sides of a parallelogram
        • 🎥 Proof: Diagonals of a parallelogram
        • 🎥 Proof: Opposite angles of a parallelogram
        • 🎥 Proof: The diagonals of a kite are perpendicular
        • 🎥 Proof: Rhombus diagonals are perpendicular bisectors
        • 🎥 Proof: Rhombus area
        • 🎥 Triangle medians & centroids
        • 🎥 Triangle medians and centroids (2D proof)
        • 🎥 Dividing triangles with medians
        • 🎥 Exploring medial triangles
        • 🎥 Centroid & median proof
        • 🎥 Median, centroid example
      • Topic F: Advanced constructions
      • Topic G: Axiomatic systems
    • Module 2: Similarity, proof, and trigonometry
      • Topic A: Scale drawings
      • Topic B: Dilations
        • 🎥 Performing dilations
        • 🎥 Dilating shapes: expanding
        • 🎥 Dilating shapes: shrinking
      • Topic C: Lessons 12-14: Similarity intro
        • 🎥 Similar shapes & transformations
        • 🎥 Proof: all circles are similar
      • Topic C: Lessons 15-17: Triangle similarity
        • 🎥 Intro to triangle similarity
        • 🎥 Triangle similarity postulates/criteria
        • 🎥 Determining similar triangles
        • 🎥 Solving similar triangles
        • 🎥 Solving similar triangles: same side plays different roles
      • Topic C: Lessons 18-20: Similarity applications
        • 🎥 Intro to angle bisector theorem
        • 🎥 Using the angle bisector theorem
        • 🎥 Using similar & congruent triangles
        • 🎥 Challenging similarity problem
        • 🎥 Geometry word problem: the golden ratio
        • 🎥 Geometry word problem: Earth & Moon radii
        • 🎥 Geometry word problem: a perfect pool shot
      • Topic D: Applying similarity to right triangles
        • 🎥 Simplifying square roots
        • 🎥 Simplifying square roots (variables)
        • 🎥 Simplifying square-root expressions
        • 🎥 Pythagorean theorem proof using similarity
      • Topic E: Lessons 25-26: Trigonometry intro
        • 🎥 Intro to the trigonometric ratios
        • 🎥 Trigonometric ratios in right triangles
        • 🎥 Triangle similarity & the trigonometric ratios
        • 🎥 Solving for a side in right triangles with trigonometry
      • Topic E: Lesson 27: Sine and cosine of complementary angles and special angles
        • 🎥 Sine & cosine of complementary angles
        • 🎥 Using complementary angles
        • 🎥 Trig word problem: complementary angles
        • 🎥 Special right triangles intro (part 1)
        • 🎥 Special right triangles intro (part 2)
        • 🎥 30-60-90 triangle example problem
        • 🎥 Special right triangles proof (part 1)
        • 🎥 Special right triangles proof (part 2)
      • Topic E: Lesson 34: Unknown angles
      • Topic E: Lessons 28-31: Trigonometry applications
        • 🎥 Right triangle word problem
      • Topic E: Lessons 32-33: Laws of sines and cosines
        • 🎥 Solving for a side with the law of sines
        • 🎥 Solving for an angle with the law of sines
        • 🎥 Proof of the law of sines
        • 🎥 Solving for a side with the law of cosines
        • 🎥 Solving for an angle with the law of cosines
        • 🎥 Proof of the law of cosines
        • 🎥 Trig word problem: stars
    • Module 3: Extending to three dimensions
      • Topic A: Area
        • 🎥 Intro to area and unit squares
        • 🎥 Area of composite shapes
        • 🎥 Perimeter & area of composite shapes
      • Topic B: Lessons 5-9: Volume properties
        • 🎥 Specifying planes in three dimensions
        • 🎥 Slicing a rectangular pyramid
        • 🎥 Ways to cross-section a cube
      • Topic B: Lessons 10-13: Volume formulas
        • 🎥 Volume of triangular prism & cube
        • 🎥 Cylinder volume & surface area
        • 🎥 Volume of a cone
        • 🎥 Volume of a sphere
    • Module 4: Connecting algebra and geometry through coordinates
      • Topic A: Rectangular and triangular regions defined by inequalities
        • 🎥 Intro to graphing two-variable inequalities
        • 🎥 Graphing two-variable inequalities
        • 🎥 Two-variable inequalities from their graphs
        • 🎥 Intro to graphing systems of inequalities
        • 🎥 Graphing systems of inequalities
      • Topic B: Perpendicular and parallel lines in the Cartesian plane
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines from graph
        • 🎥 Parallel lines from equation
        • 🎥 Parallel lines from equation (example 2)
        • 🎥 Parallel lines from equation (example 3)
        • 🎥 Perpendicular lines from equation
        • 🎥 Writing equations of perpendicular lines
        • 🎥 Writing equations of perpendicular lines (example 2)
        • 🎥 Proof: parallel lines have the same slope
        • 🎥 Proof: perpendicular lines have negative reciprocal slope
      • Topic C: Perimeters and areas of polygonal regions in the Cartesian plane
        • 🎥 Area of trapezoid on the coordinate plane
        • 🎥 Coordinate plane word problem
      • Topic D: Partitioning and extending segments and parameterization of lines
        • 🎥 Midpoint formula
        • 🎥 Dividing line segments: graphical
        • 🎥 Dividing line segments
        • 🎥 Distance between point & line
    • Module 5: Circles with and without coordinates
      • Topic A: Central and inscribed angles
        • 🎥 Inscribed angles
        • 🎥 Inscribed angle theorem proof
        • 🎥 Proof: Right triangles inscribed in circles
        • 🎥 Inscribed shapes: find diameter
        • 🎥 Inscribed shapes: angle subtended by diameter
        • 🎥 Inscribed shapes: find inscribed angle
        • 🎥 Inscribed quadrilaterals proof
        • 🎥 Solving inscribed quadrilaterals
        • 🎥 Geometric constructions: circle-inscribed square
        • 🎥 Geometric constructions: circle-inscribed equilateral triangle
        • 🎥 Geometric constructions: circle-inscribed regular hexagon
        • 🎥 Proof: radius is perpendicular to a chord it bisects
        • 🎥 Proof: perpendicular radius bisects chord
      • Topic B: Lessons 7-8: Angles and arcs
        • 🎥 Intro to arc measure
        • 🎥 Finding arc measures
        • 🎥 Finding arc measures with equations
      • Topic B: Lessons 9-10: Arc length and sector area
        • 🎥 Arc length from subtended angle
        • 🎥 Subtended angle from arc length
        • 🎥 Intro to radians
        • 🎥 Radians & degrees
        • 🎥 Degrees to radians
        • 🎥 Radians to degrees
        • 🎥 Arc length as fraction of circumference
        • 🎥 Arc length from subtended angle: radians
        • 🎥 Area of a sector
      • Topic C: Secants and tangents
        • 🎥 Proof: Radius is perpendicular to tangent line
        • 🎥 Proof: Segments tangent to circle from outside point are congruent
        • 🎥 Tangents of circles problem (example 1)
        • 🎥 Tangents of circles problem (example 2)
        • 🎥 Tangents of circles problem (example 3)
        • 🎥 Geometric constructions: circle tangent
        • 🎥 Geometric constructions: circle tangent (example 2)
      • Topic D: Equations for circles and their tangents
        • 🎥 Features of a circle from its standard equation
        • 🎥 Graphing a circle from its standard equation
        • 🎥 Writing standard equation of a circle
        • 🎥 Features of a circle from its expanded equation
      • Topic E: Cyclic quadrilaterals and Ptolemy’s theorem
  • Algebra II (Eureka Math/EngageNY)
    • Module 1: Polynomial, rational, and radical relationships
      • Topic A: Polynomials—from base ten to base X
        • 🎥 Intro to long division of polynomials
        • 🎥 Dividing polynomials: long division
        • 🎥 Dividing polynomials with remainders: monomial divisors
        • 🎥 Dividing polynomials with remainders: monomial divisors (example 2)
        • 🎥 Dividing polynomials with remainders
      • Topic B: Lessons 12-13: Factorization
        • 🎥 Factoring quadratics: common factor + grouping
        • 🎥 Factoring quadratics: negative common factor + grouping
        • 🎥 Factoring two-variable quadratics
        • 🎥 Factoring two-variable quadratics: rearranging
        • 🎥 Factoring two-variable quadratics: grouping
        • 🎥 Factoring perfect squares: 4th degree polynomial
        • 🎥 Factoring difference of squares: two variables
        • 🎥 Factoring difference of squares: two variables (example 2)
        • 🎥 Factoring higher-degree polynomials
        • 🎥 Factoring sum of cubes
        • 🎥 Factoring difference of cubes
        • 🎥 Finding zeros of polynomials (1 of 2)
        • 🎥 Finding zeros of polynomials (2 of 2)
        • 🎥 Finding zeros of polynomials (example 2)
      • Topic B: Lesson 14: Graphing factored polynomials
        • 🎥 Zeros of polynomials & their graphs
        • 🎥 Intro to end behavior of polynomials
        • 🎥 End behavior of functions & their graphs
      • Topic B: Lesson 15: Structure in graphs of polynomial functions
        • 🎥 Intro to function symmetry
        • 🎥 Graphical symmetry of functions
        • 🎥 Even/odd functions & numbers
        • 🎥 Even & odd polynomials
      • Topic B: Lessons 16-21: Remainder theorem and modeling
        • 🎥 Intro to the Polynomial Remainder Theorem
        • 🎥 Using the Polynomial Remainder Theorem: finding remainders
        • 🎥 Using the Polynomial Remainder Theorem: checking factors
        • 🎥 Using the Polynomial Remainder Theorem: finding coefficients
        • 🎥 Proof of the Polynomial Remainder Theorem
      • Topic C: Lessons 22-23: Simplifying rational expressions
        • 🎥 Intro to rational expression simplification
        • 🎥 Simplifying rational expressions: common monomial factors
        • 🎥 Simplifying rational expressions: common binomial factors
        • 🎥 Simplifying rational expressions: opposite common binomial factors
        • 🎥 Simplifying rational expressions: grouping
        • 🎥 Simplifying rational expressions: higher degree terms
        • 🎥 Simplifying rational expressions: two variables
      • Topic C: Lesson 24: Multiplying and dividing rational expressions
        • 🎥 Multiplying & dividing rational expressions: monomials
        • 🎥 Multiplying rational expressions
        • 🎥 Dividing rational expressions
        • 🎥 Multiplying rational expressions: multiple variables
        • 🎥 Dividing rational expressions: unknown expression
      • Topic C: Lesson 25: Adding and subtracting rational expressions
        • 🎥 Adding & subtracting rational expressions: like denominators
        • 🎥 Intro to adding rational expressions with unlike denominators
        • 🎥 Adding rational expression: unlike denominators
        • 🎥 Subtracting rational expressions: unlike denominators
        • 🎥 Least common multiple
        • 🎥 Least common multiple: repeating factors
        • 🎥 Subtracting rational expressions: factored denominators
        • 🎥 Least common multiple of polynomials
        • 🎥 Subtracting rational expressions
        • 🎥 Nested fractions
      • Topic C: Lessons 26-27: Rational equations
        • 🎥 Equations with one rational expression
        • 🎥 Equations with one rational expression (advanced)
        • 🎥 Equations with rational expressions
        • 🎥 Equations with rational expressions (example 2)
        • 🎥 Rational equations word problem: combined rates
        • 🎥 Rational equations word problem: combined rates (example 2)
        • 🎥 Rational equations word problem: eliminating solutions
      • Topic C: Lessons 28-29: Radical equations
        • 🎥 Intro to square-root equations & extraneous solutions
        • 🎥 Solving square-root equations (basic)
        • 🎥 Solving square-root equations: one solution
        • 🎥 Solving square-root equations: two solutions
        • 🎥 Solving square-root equations: no solution
        • 🎥 Extraneous solutions of radical equations
        • 🎥 Extraneous solutions of radical equations (example 2)
        • 🎥 Solving cube-root equations
      • Topic C: Lesson 30: Linear systems in three variables
        • 🎥 Intro to linear systems with 3 variables
        • 🎥 Solving linear systems with 3 variables
        • 🎥 Solving linear systems with 3 variables: no solution
        • 🎥 3-variable linear system word problem
      • Topic C: Lesson 31: Systems of equations
        • 🎥 Quadratic systems: graphical solution
        • 🎥 Quadratic systems: algebraic solution
        • 🎥 Quadratic systems: no solution
        • 🎥 Quadratic systems: both variables are squared
        • 🎥 Quadratic systems: a line and a circle
      • Topic C: Lesson 32: Graphing systems of equations
        • 🎥 Interpreting equations graphically
        • 🎥 Interpreting equations graphically (example 2)
        • 🎥 Solving equations graphically (1 of 2)
        • 🎥 Solving equations graphically (2 of 2)
      • Topic C: Lessons 33-35: Parabolas
        • 🎥 Intro to focus & directrix
        • 🎥 Equation of a parabola from focus & directrix
        • 🎥 Focus & directrix of a parabola from equation
      • Topic D: Lesson 37: Complex numbers intro
        • 🎥 Intro to the imaginary numbers
        • 🎥 Simplifying roots of negative numbers
        • 🎥 i as the principal root of -1
        • 🎥 Intro to complex numbers
        • 🎥 Plotting numbers on the complex plane
      • Topic D: Lesson 37: Complex number operations
        • 🎥 Adding complex numbers
        • 🎥 Subtracting complex numbers
        • 🎥 Multiplying complex numbers
        • 🎥 Powers of the imaginary unit
      • Topic D: Lessons 38-40: Complex roots and the fundamental theorem of algebra
        • 🎥 Solving quadratic equations: complex roots
        • 🎥 Complex numbers & sum of squares factorization
        • 🎥 Factoring sum of squares
        • 🎥 The Fundamental theorem of Algebra
        • 🎥 Quadratics & the Fundamental Theorem of Algebra
        • 🎥 Number of possible real roots of a polynomial
    • Module 2: Trigonometric functions
      • Topic A: Lessons 1-7: Unit circle definition of trig functions
        • 🎥 Unit circle
        • 🎥 The trig functions & right triangle trig ratios
        • 🎥 Trig values of special angles
        • 🎥 Sine & cosine identities: symmetry
        • 🎥 Sine & cosine identities: periodicity
        • 🎥 Tangent identities: symmetry
        • 🎥 Tangent identities: periodicity
      • Topic A: Lessons 8-10: Trigonometric graphs and radians
        • 🎥 Graph of y=sin(x)
        • 🎥 Intersection points of y=sin(x) and y=cos(x)
        • 🎥 Intro to radians
        • 🎥 Radians & degrees
        • 🎥 Degrees to radians
        • 🎥 Radians to degrees
        • 🎥 Radian angles & quadrants
      • Topic B: Lesson 11: Graphing sinusoidal functions
        • 🎥 Transforming sinusoidal graphs: vertical stretch & horizontal reflection
        • 🎥 Transforming sinusoidal graphs: vertical & horizontal stretches
      • Topic B: Lesson 11: Features of sinusoidal graphs
        • 🎥 Features of sinusoidal functions
        • 🎥 Amplitude & period of sinusoidal functions from equation
      • Topic B: Lessons 12-13: Modeling with sinusoidal functions
        • 🎥 Sinusoidal function from graph
        • 🎥 Trig word problem: modeling daily temperature
        • 🎥 Trig word problem: modeling annual temperature
        • 🎥 Trig word problem: length of day (phase shift)
      • Topic B: Lesson 14: Graphing the tangent function
        • 🎥 Graph of y=tan(x)
        • 🎥 Tangent identities: symmetry
        • 🎥 Tangent identities: periodicity
      • Topic B: Lessons 15-17: Trigonometric identities
        • 🎥 Proof of the Pythagorean trig identity
        • 🎥 Using the Pythagorean trig identity
        • 🎥 Review of trig angle addition identities
        • 🎥 Using the cosine angle addition identity
        • 🎥 Using the cosine double-angle identity
        • 🎥 Proof of the sine angle addition identity
        • 🎥 Proof of the cosine angle addition identity
    • Module 3: Exponential and logarithmic functions
      • Topic A: Lesson 1: Integer exponents
        • 🎥 Multiplying & dividing powers (integer exponents)
        • 🎥 Powers of products & quotients (integer exponents)
      • Topic A: Lesson 2: Scientific notation
        • 🎥 Scientific notation example: 0.0000000003457
        • 🎥 Scientific notation examples
        • 🎥 Multiplying & dividing in scientific notation
        • 🎥 Multiplying three numbers in scientific notation
        • 🎥 Subtracting in scientific notation
        • 🎥 Scientific notation word problem: red blood cells
        • 🎥 Scientific notation word problem: U.S. national debt
        • 🎥 Scientific notation word problem: speed of light
      • Topic A: Lessons 3-6: Rational exponents
        • 🎥 Intro to rational exponents
        • 🎥 Rewriting roots as rational exponents
        • 🎥 Simplifying quotient of powers (rational exponents)
        • 🎥 Simplifying mixed radical and exponential expressions
        • 🎥 𝑒 and compound interest
        • 🎥 𝑒 as a limit
      • Topic B: Lessons 7-9: Logarithms intro
        • 🎥 Solving exponential equations using exponent properties
        • 🎥 Intro to logarithms
        • 🎥 Evaluating logarithms (advanced)
      • Topic B: Lessons 10-12: Logarithm properties
        • 🎥 Intro to logarithm properties (1 of 2)
        • 🎥 Intro to logarithm properties (2 of 2)
        • 🎥 Using the logarithmic product rule
        • 🎥 Using the logarithmic power rule
        • 🎥 Using the properties of logarithms: multiple steps
        • 🎥 Proof of the logarithm product rule
        • 🎥 Proof of the logarithm quotient and power rules
      • Topic B: Lesson 13: Changing the base
        • 🎥 Evaluating logarithms: change of base rule
        • 🎥 Using the logarithm change of base rule
        • 🎥 Proof of the logarithm change of base rule
      • Topic B: Lessons 13-15: Logarithms and equations
        • 🎥 Solving exponential equations using logarithms: base-10
        • 🎥 Solving exponential equations using logarithms: base-2
        • 🎥 Logarithmic equations: variable in the argument
        • 🎥 Logarithmic equations: variable in the base
      • Topic C: Lesson 16: Rational and Irrational Numbers
        • 🎥 Approximating square roots
        • 🎥 Comparing irrational numbers with radicals
        • 🎥 Approximating square roots to hundredths
        • 🎥 Comparing values with calculator
        • 🎥 Proof: sum & product of two rationals is rational
        • 🎥 Proof: product of rational & irrational is irrational
        • 🎥 Proof: sum of rational & irrational is irrational
        • 🎥 Sums and products of irrational numbers
        • 🎥 Worked example: rational vs. irrational expressions
        • 🎥 Worked example: rational vs. irrational expressions (unknowns)
      • Topic C: Lessons 17-22: Graphs of exponential and logarithmic functions
        • 🎥 Relationship between exponentials & logarithms
        • 🎥 Relationship between exponentials & logarithms: graphs
        • 🎥 Relationship between exponentials & logarithms: tables
        • 🎥 Transforming exponential graphs
        • 🎥 Transforming exponential graphs (example 2)
        • 🎥 Graphing exponential functions
        • 🎥 Graphs of logarithms & exponentials
        • 🎥 Graphing basic logarithmic functions
        • 🎥 Graphs of logarithmic functions
      • Topic D: Lessons 23-24: Solving exponential models
        • 🎥 Solving exponential equations using exponent properties (advanced)
        • 🎥 Exponential model word problem: medication dissolve
        • 🎥 Exponential model word problem: bacteria growth
      • Topic D: Lessons 25-28: Modeling with exponential functions
        • 🎥 Interpreting change in exponential models
        • 🎥 Interpreting time in exponential models
        • 🎥 Constructing exponential models
        • 🎥 Constructing exponential models: half life
        • 🎥 Constructing exponential models: percent change
        • 🎥 Interpreting change in exponential models: with manipulation
        • 🎥 Interpreting change in exponential models: changing units
      • Topic E: Lesson 29: Geometric series
        • 🎥 Summation notation
        • 🎥 Geometric series intro
        • 🎥 Geometric series with sigma notation
        • 🎥 Worked example: finite geometric series (sigma notation)
        • 🎥 Worked examples: finite geometric series
        • 🎥 Finite geometric series formula justification
        • 🎥 Finite geometric series word problem: social media
        • 🎥 Finite geometric series word problem: mortgage
      • Topic E: Lesson 29: Arithmetic series
        • 🎥 Arithmetic series intro
        • 🎥 Arithmetic series formula
        • 🎥 Worked example: arithmetic series (sigma notation)
        • 🎥 Worked example: arithmetic series (sum expression)
        • 🎥 Worked example: arithmetic series (recursive formula)
        • 🎥 Proof of finite arithmetic series formula
      • Topic E: Lessons 30-33: Series applications
    • Module 4: Inferences and conclusions from data
      • Topic A: Lesson 1: Chance experiments, sample spaces, and events
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
        • 🎥 Intuitive sense of probabilities
      • Topic A: Lessons 2-4: Two-way tables, conditional probability, and independence
        • 🎥 Calculating conditional probability
        • 🎥 Conditional probability explained visually
        • 🎥 Conditional probability and independence
        • 🎥 Analyzing event probability for independence
      • Topic A: Lessons 5-7: Venn diagrams and probability rules
        • 🎥 Intersection and union of sets
        • 🎥 Compound probability of independent events
        • 🎥 Independent events example: test taking
        • 🎥 Coin flipping probability
        • 🎥 Probability with Venn diagrams
        • 🎥 Addition rule for probability
      • Topic B: Lesson 8: Distributions—Center, shape, and spread
        • 🎥 Shapes of distributions
        • 🎥 Comparing means of distributions
        • 🎥 Means and medians of different distributions
        • 🎥 Mean and standard deviation versus median and IQR
        • 🎥 Population standard deviation
        • 🎥 Sample standard deviation and bias
      • Topic B: Lesson 9: Using a curve to model a data distribution
        • 🎥 Density Curves
        • 🎥 Median, mean and skew from density curves
        • 🎥 Density curve worked example
        • 🎥 Worked example finding area under density curves
      • Topic B: Lessons 10-11: Normal distributions
        • 🎥 Normal distribution problem: z-scores (from ck12.org)
        • 🎥 Comparing with z-scores
        • 🎥 Qualitative sense of normal distributions (from ck12.org)
        • 🎥 Normal distribution problems: Empirical rule (from ck12.org)
        • 🎥 Standard normal table for proportion below
        • 🎥 Standard normal table for proportion above
        • 🎥 Standard normal table for proportion between values
      • Topic C: Lesson 12: Types of statistical studies
        • 🎥 Types of statistical studies
        • 🎥 Worked example identifying experiment
        • 🎥 Worked example identifying observational study
        • 🎥 Worked example identifying sample study
        • 🎥 Correlation and causality
      • Topic C: Lesson 13: Using sample data to estimate a population characteristic
        • 🎥 Identifying a sample and population
        • 🎥 Reasonable samples
        • 🎥 Techniques for generating a simple random sample
      • Topic C: Lessons 14-17: Sample proportions, sampling variability, margin of error
      • Topic C: Lessons 18-19: Sampling variability in the sample mean
        • 🎥 Inferring population mean from sample mean
        • 🎥 Central limit theorem
        • 🎥 Sampling distribution of the sample mean
        • 🎥 Sampling distribution of the sample mean 2
        • 🎥 Standard error of the mean
      • Topic C: Lessons 20-22: Margin of error with sample means; evaluating reports with sample data
      • Topic D: Lesson 23: Experiments and the role of random assignment
        • 🎥 Types of statistical studies
        • 🎥 Worked example identifying experiment
        • 🎥 Worked example identifying observational study
        • 🎥 Introduction to experiment design
        • 🎥 Matched pairs experiment design
      • Topic D: Lessons 24-27: Ruling out differences due to random assignment
      • Topic D: Lessons 28-29: Drawing a conclusion from an experiment
      • Topic D: Lesson 30: Evaluating reports based on data from an experiment
  • Precalculus (Eureka Math/EngageNY)
    • Module 1: Complex numbers and transformations
      • Topic A: Lessons 1-6: Complex numbers review
        • 🎥 Powers of the imaginary unit
        • 🎥 Plotting numbers on the complex plane
        • 🎥 Adding complex numbers
        • 🎥 Subtracting complex numbers
        • 🎥 Multiplying complex numbers
      • Topic A: Lessons 7-8: Complex number division
        • 🎥 Intro to complex number conjugates
        • 🎥 Complex number conjugates
        • 🎥 Dividing complex numbers
      • Topic B: Lessons 9-12: Distance and midpoint of complex numbers
        • 🎥 Distance & midpoint of complex numbers
      • Topic B: Lesson 13: Trigonometry and complex numbers
        • 🎥 Absolute value of complex numbers
        • 🎥 Absolute value & angle of complex numbers
        • 🎥 Polar & rectangular forms of complex numbers
      • Topic B: Lessons 14-17: Multiplying and dividing complex numbers in polar form
        • 🎥 Dividing complex numbers: polar & exponential form
      • Topic C: Lessons 18-19: Exploiting the connection to trigonometry
        • 🎥 Powers of complex numbers
        • 🎥 Complex number equations: x³=1
      • Topic C: Lessons 21-23: Transforming vectors with matrices
        • 🎥 Intro to matrices
        • 🎥 Intro to matrix multiplication
        • 🎥 Multiplying matrices
        • 🎥 Transforming vectors using matrices
      • Topic C: Lesson 24: Matrix notation encompasses new transformations!
        • 🎥 Transforming polygons using matrices
        • 🎥 Visual representation of transformation from matrix
      • Topic C: Lesson 25: Properties of matrix addition
        • 🎥 Adding & subtracting matrices
        • 🎥 Multiplying matrices by scalars
      • Topic C: Lesson 25: Properties of matrix multiplication
        • 🎥 Intro to identity matrix
        • 🎥 Dimensions of identity matrix
        • 🎥 Is matrix multiplication commutative?
        • 🎥 Associative property of matrix multiplication
        • 🎥 Zero matrix & matrix multiplication
      • Topic C: Lessons 26-30: Matrix inverses
        • 🎥 Determinant of a 2x2 matrix
        • 🎥 Intro to matrix inverses
        • 🎥 Determining invertible matrices
        • 🎥 Finding inverse of a 2x2 matrix using determinant & adjugate
    • Module 2: Vectors and matrices
      • Topic A: Networks and matrices
      • Topic B: Linear transformations of planes and space
      • Topic C: Systems of linear equations
        • 🎥 Representing linear systems with matrix equations
        • 🎥 Solving linear systems with matrix equations
        • 🎥 Matrix word problem: vector combination
        • 🎥 Matrix word problem: prices
      • Topic D: Lessons 17-18: Vectors in the coordinate plane
        • 🎥 Intro to vectors & scalars
        • 🎥 Recognizing vectors
        • 🎥 Equivalent vectors
        • 🎥 Vector magnitude from graph
        • 🎥 Vector magnitude from components
        • 🎥 Vector magnitude from initial & terminal points
        • 🎥 Scalar multiplication of vectors
        • 🎥 Adding & subtracting vectors
      • Topic D: Lesson 19: Directed line segments and vectors
        • 🎥 Components of vectors
        • 🎥 Components of vectors (example 2)
        • 🎥 Analyzing scalar multiplication
        • 🎥 Graphically adding & subtracting vectors
        • 🎥 Graphically subtracting vectors
        • 🎥 Adding vectors algebraically & graphically
        • 🎥 Combined vector operations
      • Topic D: Lessons 20: Vectors and stone bridges
        • 🎥 Direction of vectors from components: 1st & 2nd quadrants
        • 🎥 Direction of vectors from components: 3rd & 4th quadrants
        • 🎥 Vector components from magnitude & direction
        • 🎥 Adding vectors in magnitude & direction form (1 of 2)
        • 🎥 Adding vectors in magnitude & direction form (2 of 2)
        • 🎥 Vector addition & magnitude
      • Topic D: Lessons 21-22: Vectors and linear transformations
      • Topic D: Lessons 23-24: Why are vectors useful?
        • 🎥 Vectors word problem: pushing a box
        • 🎥 Vectors word problem: tug of war
        • 🎥 Vectors word problem: hiking
      • Topic E: First-person video games—projection matrices
    • Module 3: Rational and exponential functions
      • Topic A: Lesson 1: Solutions to polynomial equations
        • 🎥 Factoring higher-degree polynomials
        • 🎥 Factoring sum of cubes
        • 🎥 Factoring difference of cubes
        • 🎥 Complex numbers & sum of squares factorization
        • 🎥 Factoring sum of squares
        • 🎥 Finding zeros of polynomials (1 of 2)
        • 🎥 Finding zeros of polynomials (2 of 2)
        • 🎥 Finding zeros of polynomials (example 2)
      • Topic A: Lessons 2-3: Roots of complex numbers
        • 🎥 Powers of complex numbers
        • 🎥 Complex number equations: x³=1
      • Topic A: Lessons 4-5: The binomial theorem
        • 🎥 Intro to the Binomial Theorem
        • 🎥 Pascal's triangle and binomial expansion
        • 🎥 Expanding binomials
        • 🎥 Expanding binomials w/o Pascal's triangle
        • 🎥 Binomial expansion & combinatorics
        • 🎥 Pascal's triangle & combinatorics
      • Topic A: Lessons 6-7: Ellipses
        • 🎥 Intro to ellipses
        • 🎥 Ellipse standard equation from graph
        • 🎥 Ellipse graph from standard equation
        • 🎥 Foci of an ellipse from equation
      • Topic A: Lesson 8: Hyperbolas
        • 🎥 Intro to hyperbolas
        • 🎥 Vertices & direction of a hyperbola
        • 🎥 Vertices & direction of a hyperbola (example 2)
        • 🎥 Foci of a hyperbola from equation
        • 🎥 Proof of the hyperbola foci formula
        • 🎥 Equation of a hyperbola not centered at the origin
      • Topic A: Lesson 9: Volume and Cavalieri’s principle
      • Topic B: Lessons 10-11: Simplifying rational expressions
        • 🎥 Intro to rational expression simplification
        • 🎥 Simplifying rational expressions: common monomial factors
        • 🎥 Simplifying rational expressions: common binomial factors
        • 🎥 Simplifying rational expressions: opposite common binomial factors
        • 🎥 Simplifying rational expressions: grouping
        • 🎥 Simplifying rational expressions: higher degree terms
        • 🎥 Simplifying rational expressions: two variables
      • Topic B: Lessons 10-11: Multiplying & dividing rational expressions
        • 🎥 Multiplying & dividing rational expressions: monomials
        • 🎥 Multiplying rational expressions
        • 🎥 Dividing rational expressions
        • 🎥 Multiplying rational expressions: multiple variables
        • 🎥 Dividing rational expressions: unknown expression
      • Topic B: Lessons 10-11: Adding & subtracting rational expressions
        • 🎥 Adding & subtracting rational expressions: like denominators
        • 🎥 Intro to adding rational expressions with unlike denominators
        • 🎥 Adding rational expression: unlike denominators
        • 🎥 Subtracting rational expressions: unlike denominators
        • 🎥 Least common multiple
        • 🎥 Least common multiple: repeating factors
        • 🎥 Subtracting rational expressions: factored denominators
        • 🎥 Least common multiple of polynomials
        • 🎥 Subtracting rational expressions
        • 🎥 Nested fractions
      • Topic B: Lessons 12-13: End behavior and asymptotes of rational functions
        • 🎥 End behavior of rational functions
        • 🎥 Discontinuities of rational functions
        • 🎥 Analyzing vertical asymptotes of rational functions
      • Topic B: Lessons 14-15: Graphing rational functions
        • 🎥 Graphing rational functions according to asymptotes
        • 🎥 Graphs of rational functions: y-intercept
        • 🎥 Graphs of rational functions: horizontal asymptote
        • 🎥 Graphs of rational functions: vertical asymptotes
        • 🎥 Graphs of rational functions: zeros
        • 🎥 Graphing rational functions 1
        • 🎥 Graphing rational functions 2
        • 🎥 Graphing rational functions 3
        • 🎥 Graphing rational functions 4
      • Topic B: Lessons 16-17: Function composition
        • 🎥 Intro to composing functions
        • 🎥 Evaluating composite functions
        • 🎥 Evaluating composite functions: using tables
        • 🎥 Evaluating composite functions: using graphs
        • 🎥 Finding composite functions
        • 🎥 Evaluating composite functions (advanced)
        • 🎥 Modeling with composite functions
        • 🎥 Modeling with composite functions (example 2)
      • Topic C: Lesson 18: Inverse functions
        • 🎥 Intro to inverse functions
        • 🎥 Inputs & outputs of inverse functions
        • 🎥 Graphing the inverse of a linear function
        • 🎥 Finding inverse functions: linear
        • 🎥 Finding inverse functions: quadratic
        • 🎥 Finding inverse functions: quadratic (example 2)
        • 🎥 Finding inverse functions: radical
        • 🎥 Finding inverse functions: rational
      • Topic C: Lesson 19: Restricting the domain
        • 🎥 Verifying inverse functions by composition
        • 🎥 Verifying inverse functions by composition: not inverse
        • 🎥 Determining if a function is invertible
        • 🎥 Restricting domains of functions to make them invertible
      • Topic C: Lessons 20-21: Inverse relationship of exponentials and logarithms
        • 🎥 Relationship between exponentials & logarithms
        • 🎥 Relationship between exponentials & logarithms: graphs
        • 🎥 Relationship between exponentials & logarithms: tables
    • Module 4: Trigonometry
      • Topic A: Lessons 1-2: Special values and properties of trigonometric functions
        • 🎥 Trig values of special angles
        • 🎥 Graph of y=sin(x)
        • 🎥 Graph of y=tan(x)
        • 🎥 Intersection points of y=sin(x) and y=cos(x)
        • 🎥 Sine & cosine identities: symmetry
        • 🎥 Tangent identities: symmetry
        • 🎥 Sine & cosine identities: periodicity
        • 🎥 Tangent identities: periodicity
      • Topic A: Lessons 3-4: Addition and subtraction formulas
        • 🎥 Review of trig angle addition identities
        • 🎥 Using the cosine angle addition identity
        • 🎥 Using the cosine double-angle identity
        • 🎥 Proof of the sine angle addition identity
        • 🎥 Proof of the cosine angle addition identity
        • 🎥 Finding trig values using angle addition identities
      • Topic A: Lessons 5-6: Tangent lines and wave functions
      • Topic B: Trigonometry and triangles
        • 🎥 Solving for a side with the law of sines
        • 🎥 Solving for an angle with the law of sines
        • 🎥 Proof of the law of sines
        • 🎥 Solving for a side with the law of cosines
        • 🎥 Solving for an angle with the law of cosines
        • 🎥 Proof of the law of cosines
        • 🎥 Trig word problem: stars
      • Topic C: Inverse trigonometric functions
        • 🎥 Intro to arcsine
        • 🎥 Intro to arctangent
        • 🎥 Intro to arccosine
        • 🎥 Restricting domains of functions to make them invertible
        • 🎥 Domain & range of inverse tangent function
        • 🎥 Using inverse trig functions with a calculator
        • 🎥 Solving sinusoidal equations of the form sin(x)=d
        • 🎥 Solving cos(θ)=1 and cos(θ)=-1
        • 🎥 Trig word problem: solving for temperature
    • Module 5: Probability and statistics
      • Topic A: Lesson 1: The general multiplication rule
        • 🎥 Compound probability of independent events
        • 🎥 Independent events example: test taking
        • 🎥 Coin flipping probability
        • 🎥 Dependent probability introduction
      • Topic A: Lesson 2: Counting rules—The fundamental counting principle and permutations
        • 🎥 Count outcomes using tree diagram
        • 🎥 Counting outcomes: flower pots
        • 🎥 Permutation formula
        • 🎥 Zero factorial or 0!
        • 🎥 Possible three letter words
        • 🎥 Ways to arrange colors
        • 🎥 Ways to pick officers
      • Topic A: Lesson 3: Counting rules—Combinations
        • 🎥 Intro to combinations
        • 🎥 Combination formula
        • 🎥 Handshaking combinations
        • 🎥 Combination example: 9 card hands
      • Topic A: Lesson 4: Using permutations and combinations to compute probabilities
        • 🎥 Getting exactly two heads (combinatorics)
        • 🎥 Exactly three heads in five flips
        • 🎥 Example: Different ways to pick officers
        • 🎥 Example: Combinatorics and probability
        • 🎥 Example: Lottery probability
        • 🎥 Mega millions jackpot probability
      • Topic B: Lessons 5-6: Discrete random variables
        • 🎥 Random variables
        • 🎥 Discrete and continuous random variables
        • 🎥 Valid discrete probability distribution examples
        • 🎥 Probability with discrete random variable example
      • Topic B: Lessons 7-8: Expected value
        • 🎥 Mean (expected value) of a discrete random variable
      • Topic B: Lessons 9-12: Creating probability distributions
        • 🎥 Constructing a probability distribution for random variable
        • 🎥 Probability models example: frozen yogurt
      • Topic C: Lessons 13-19: Applications of expected value and probability
        • 🎥 Term life insurance and death probability
        • 🎥 Expected profit from lottery ticket
        • 🎥 Expected value while fishing
        • 🎥 Comparing insurance with expected value
  • 3rd grade foundations (Eureka Math/EngageNY)
    • Module 1: Foundations
      • Topic A, B, C, D, E, & F: Foundations
        • 🎥 Repeated addition: haircuts
        • 🎥 Addition word problem: horses
        • 🎥 Subtraction word problem: crayons
    • Module 2: Foundations
      • Topic A: Foundations
        • 🎥 Measuring lengths 2
        • 🎥 Measuring lengths with different units
        • 🎥 Telling time (labeled clock)
      • Topic B: Foundations
        • 🎥 Estimating lengths
        • 🎥 Comparing lengths
      • Topic C: Foundations
        • 🎥 Comparing whole numbers
        • 🎥 Subtracting 2-digit numbers without regrouping 1
        • 🎥 Subtracting two-digit numbers without regrouping (example 2)
        • 🎥 Subtracting a 1-digit number with regrouping
      • Topic D & E: Foundations
        • 🎥 Adding 1s, 10s, and 100s
        • 🎥 Breaking apart 3-digit addition problems
        • 🎥 Adding and subtracting on number line 2
        • 🎥 Adding and subtracting on number line word problems
    • Module 3: Foundations
      • Topic A, C, D, & E: Foundations
        • 🎥 Addition word problem: horses
        • 🎥 Subtraction word problem: tennis balls
        • 🎥 Repeated addition: haircuts
      • Topic B: Foundations
        • 🎥 Adding 53+17 by making a group of 10
        • 🎥 Adding 2-digit numbers without regrouping 2
        • 🎥 Adding with regrouping
        • 🎥 Subtracting a 1-digit number with regrouping
      • Topic F: Foundations
        • 🎥 Intro to place value
    • Module 4: Foundations
      • Topic A: Foundations
        • 🎥 Measuring lengths 2
        • 🎥 Measuring lengths with different units
      • Topic B, C, & D: Foundations
        • 🎥 Repeated addition: haircuts
        • 🎥 Length word problems
        • 🎥 Measuring length: golden statue
    • Module 5: Foundations
      • Topic A, B, C, D, E, & F: Foundations
        • 🎥 Equal parts of circles and rectangles
        • 🎥 Adding and subtracting on number line word problems
        • 🎥 Addition word problem: horses
        • 🎥 Subtraction word problem: tennis balls
    • Module 6: Foundations
      • Topic A: Foundations
        • 🎥 Length word problems
        • 🎥 Measuring length: golden statue
        • 🎥 Adding and subtracting on number line word problems
      • Topic B: Foundations
        • 🎥 Intro to line plots
        • 🎥 Making picture graphs and line plots
        • 🎥 Reading bar graphs: bikes
        • 🎥 Creating picture and bar graphs 1
        • 🎥 Picture graphs
    • Module 7: Foundations
      • Topic A, B, C, D, & E: Foundations
        • 🎥 Measuring lengths 2
        • 🎥 Measuring lengths with different units
        • 🎥 Adding and subtracting on number line word problems
        • 🎥 Recognizing shapes
  • 4th grade foundations (Eureka Math/EngageNY)
    • Module 1: Foundations
      • Topic A & B: Foundations
        • 🎥 Comparing whole numbers
      • Topic C: Foundations
        • 🎥 Rounding to nearest 10 and 100
        • 🎥 Rounding to nearest 10
        • 🎥 Rounding to nearest 100
      • Topic D, E, & F: Foundations
        • 🎥 2-step word problem: truffles
        • 🎥 2-step word problem: theater
        • 🎥 Breaking apart 3-digit addition problems
    • Module 2: Foundations
      • Topic A & B: Foundations
        • 🎥 Measuring lengths with different units
        • 🎥 Comparing lengths
        • 🎥 Length word problems
        • 🎥 Understanding mass (grams and kilograms)
        • 🎥 Word problems with mass
    • Module 3: Foundations
      • Topic A: Foundations
        • 🎥 2-step estimation problem: marbles
        • 🎥 Unknowns with multiplication and division
        • 🎥 Comparing areas and perimeters of rectangles
      • Topic B & C: Foundations
        • 🎥 Properties and patterns for multiplication
        • 🎥 Multiplying 1-digit numbers by multiples of 10, 100, and 1000
        • 🎥 Multiplying by tens word problem
      • Topic D: Foundations
        • 🎥 2-step word problem: theater
        • 🎥 2-step word problem: running
        • 🎥 2-step word problem: truffles
      • Topic E: Foundations
        • 🎥 Division word problem: school building
        • 🎥 The idea of division
      • Topic F: Foundations
      • Topic G: Foundations
        • 🎥 2-step word problem: theater
        • 🎥 2-step word problem: running
        • 🎥 2-step word problem: truffles
        • 🎥 Properties and patterns for multiplication
        • 🎥 The idea of division
      • Topic H: Foundations
    • Module 4: Foundations
      • Topic A: Foundations
        • 🎥 Intro to quadrilateral
        • 🎥 Quadrilateral types
        • 🎥 Classifying quadrilaterals
      • Topic C: Foundations
        • 🎥 2-step word problem: theater
        • 🎥 2-step word problem: running
        • 🎥 2-step word problem: truffles
    • Module 5: Foundations
      • Topic A, D, & F: Foundations
        • 🎥 Intro to fractions
        • 🎥 Identifying unit fractions word problem
        • 🎥 Identifying numerators and denominators
        • 🎥 Representing 1 as a fraction
        • 🎥 Fractions on a number line
      • Topic B: Foundations
        • 🎥 Equivalent fractions with visuals
        • 🎥 Creating equivalent fractions
        • 🎥 Whole numbers as fractions
      • Topic C: Foundations
        • 🎥 Comparing fractions of different wholes 1
        • 🎥 Comparing fractions with > and < symbols
        • 🎥 Comparing fractions with the same numerator
        • 🎥 Comparing fractions with the same denominator
      • Topic E: Foundations
        • 🎥 Intro to line plots
        • 🎥 Graphing data on line plots
      • Topic H: Foundations
        • 🎥 Finding patterns in numbers
        • 🎥 Intro to even and odd numbers
        • 🎥 Patterns in multiplication tables
    • Module 6: Foundations
      • Topic A: Foundations
        • 🎥 Understanding mass (grams and kilograms)
        • 🎥 Word problems with mass
        • 🎥 Multiplying 1-digit numbers by multiples of 10, 100, and 1000
        • 🎥 Multiplying by tens word problem
      • Topic B, C, & D: Foundations
        • 🎥 Intro to fractions
        • 🎥 Identifying unit fractions word problem
        • 🎥 Identifying numerators and denominators
        • 🎥 Representing 1 as a fraction
        • 🎥 Fractions on a number line
        • 🎥 Equivalent fractions with visuals
        • 🎥 Creating equivalent fractions
    • Module 7: Foundations
      • Topic A: Foundations
        • 🎥 Intro to multiplication
      • Topic B: Foundations
        • 🎥 2-step word problem: theater
        • 🎥 2-step word problem: running
        • 🎥 2-step word problem: truffles
      • Topic C: Foundations
        • 🎥 Understanding mass (grams and kilograms)
        • 🎥 Word problems with mass
  • 5th grade foundations (Eureka Math/EngageNY)
    • Module 1: Foundations
      • Topic A: Foundations
        • 🎥 Place value when multiplying and dividing by 10
        • 🎥 Understanding place value
        • 🎥 Intro to decimals
        • 🎥 Decimals as words
        • 🎥 Rewriting decimals as fractions: 0.15
      • Topic B: Foundations
        • 🎥 Writing a number in expanded form
        • 🎥 Comparing whole number place values
        • 🎥 Comparing decimals 1
        • 🎥 Comparing numbers represented different ways
      • Topic C: Foundations
        • 🎥 Rounding whole numbers to nearest hundred
        • 🎥 Rounding whole numbers to nearest thousand
        • 🎥 Rounding whole numbers to nearest ten
      • Topic D & F: Foundations
        • 🎥 Adding 3-digit numbers
        • 🎥 Adding with regrouping
        • 🎥 Adding 3-digit numbers with regrouping
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping twice)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping from 0)
      • Topic E: Foundations
        • 🎥 Multiplication tables for 2-9
        • 🎥 Multiplying 1-digit numbers by 10, 100, and 1000
        • 🎥 Multiplying by multiples of 10
    • Module 2: Foundations
      • Topic A: Foundations
        • 🎥 Multiplying whole numbers by 10
        • 🎥 Creating the largest number
      • Topic B: Foundations
        • 🎥 Comparing with multiplication: giraffe
        • 🎥 Multiplying with area model: 6 x 7981
        • 🎥 Multiplying with area model: 78 x 65
      • Topic C: Foundations
        • 🎥 Rewriting fractions as decimals
        • 🎥 Graphing tenths from 0 to 1
        • 🎥 Identifying tenths on a number line
        • 🎥 Graphing hundredths from 0 to 0.1
        • 🎥 Identifying hundredths on a number line
      • Topic D: Foundations
        • 🎥 Multiplying 2-digit numbers
        • 🎥 Multiplying multi-digit numbers
      • Topic E: Foundations
        • 🎥 Dividing whole numbers by 10
        • 🎥 Quotients that are multiples of 10
        • 🎥 Division using place value
      • Topic F: Foundations
        • 🎥 Division with area models
        • 🎥 Intro to long division (no remainders)
        • 🎥 Long division: 280÷5
      • Topic G: Foundations
        • 🎥 Adding 3-digit numbers
        • 🎥 Adding with regrouping
        • 🎥 Adding 3-digit numbers with regrouping
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping twice)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping from 0)
      • Topic H: Foundations
        • 🎥 Worked example: Long division with remainders: 3771÷8
        • 🎥 Worked example: Long division with remainders: 2292÷4
        • 🎥 Division word problem: field goals
    • Module 3: Foundations
      • Topic A: Foundations
        • 🎥 Equivalent fractions with visuals
        • 🎥 Equivalent fraction models
        • 🎥 Equivalent fraction visually
        • 🎥 Creating equivalent fractions
      • Topic B: Foundations
        • 🎥 Adding fractions with like denominators
        • 🎥 Subtracting fractions with like denominators
        • 🎥 Adding mixed numbers with like denominators
        • 🎥 Subtracting mixed numbers with like denominators
      • Topic C: Foundations
        • 🎥 Intro to adding mixed numbers
        • 🎥 Intro to subtracting mixed numbers
        • 🎥 Comparing fractions: tape diagram
        • 🎥 Comparing fractions: number line
      • Topic D: Foundations
        • 🎥 Fraction word problem: pizza
        • 🎥 Fraction word problem: piano
        • 🎥 Fraction word problem: lizard
    • Module 4: Foundations
      • Topic A: Foundations
        • 🎥 Reading a line plot with fractions
      • Topic B: Foundations
        • 🎥 Intro to multiplication
        • 🎥 The idea of division
        • 🎥 Comparing with multiplication: money
      • Topic C: Foundations
        • 🎥 Multiplying unit fractions and whole numbers
        • 🎥 Equivalent fraction and whole number multiplication problems
      • Topic D: Foundations
        • 🎥 More ways to multiply
        • 🎥 Multiplication word problem: pizza
        • 🎥 Multiplying fractions word problem: milk
      • Topic E: Foundations
        • 🎥 Division word problem: field goals
      • Topic F: Foundations
        • 🎥 Comparing with multiplication: age
        • 🎥 Comparing with multiplication: magic
      • Topic G: Foundations
        • 🎥 Relating division to multiplication
        • 🎥 Division word problem: blueberries
        • 🎥 Recognizing fractions greater than 1
    • Module 5: Foundations
      • Topic A: Foundations
        • 🎥 Intro to area and unit squares
        • 🎥 Creating rectangles with a given area 1
        • 🎥 Creating rectangles with a given area 2
      • Topic B: Foundations
        • 🎥 Area & perimeter word problem: table
      • Topic C: Foundations
        • 🎥 Multiplying fractions and whole numbers visually
        • 🎥 Multiplication word problem: carrots
        • 🎥 Division word problem: row boat
        • 🎥 Multi-step unit conversion examples (U.S. Customary)
      • Topic D: Foundations
        • 🎥 Intro to quadrilaterals
        • 🎥 Quadrilateral properties
        • 🎥 Quadrilateral types
    • Module 6: Foundations
      • Topic A: Foundations
        • 🎥 Fractions on a number line
        • 🎥 Representing 1 as a fraction
        • 🎥 Whole numbers as fractions
      • Topic B & D: Foundations
        • 🎥 Factors and multiples: days of the week
        • 🎥 Math patterns: toothpicks
        • 🎥 Math patterns: table
      • Topic C: Foundations
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines
        • 🎥 Drawing parallel line segments
      • Topic E: Foundations
        • 🎥 Fraction word problem: pizza
        • 🎥 Multiplying fractions word problem: movies
        • 🎥 Multiplying fractions word problem: milk
  • 6th grade foundations (Eureka Math/EngageNY)
    • Module 1: Foundations
      • Topic A: Foundations
        • 🎥 Comparing with multiplication: basics
        • 🎥 Comparing with multiplication: giraffe
        • 🎥 Understanding fractions as division
        • 🎥 Creating a fraction through division
      • Topic B: Foundations
        • 🎥 Coordinate plane: graphing points
        • 🎥 Coordinate plane graphing word problem
        • 🎥 Drawing a quadrilateral on the coordinate plane example
      • Topic C: Foundations
        • 🎥 Converting US customary units of volume
        • 🎥 Converting units: metric distance
        • 🎥 Creating a fraction through division
    • Module 2: Foundations
      • Topic A: Foundations
        • 🎥 Multiplying 2 fractions: fraction model
        • 🎥 Multiplying mixed numbers
        • 🎥 Dividing fractions by whole numbers: studying
      • Topic B: Foundations
        • 🎥 Multiplying 3-digit by 1-digit
        • 🎥 Multiplying 4-digit by 1-digit (regrouping)
        • 🎥 Multiplying multi-digit numbers
        • 🎥 Adding decimals: 0.822+5.65
        • 🎥 Subtracting decimals: 9.005 - 3.6
        • 🎥 Intro to multiplying decimals
        • 🎥 Multiplying decimals: place value
        • 🎥 Dividing whole numbers to get a decimal
      • Topic C: Foundations
        • 🎥 Dividing by 2-digits: 7182÷42
        • 🎥 Intro to remainders
      • Topic D: Foundations
        • 🎥 Finding factors of a number
        • 🎥 Finding factors and multiples
        • 🎥 Recognizing prime and composite numbers
    • Module 3: Foundations
      • Topic A: Foundations
        • 🎥 Coordinate plane: graphing points
        • 🎥 Intro to reflective symmetry
        • 🎥 Fractions on a number line
      • Topic B: Foundations
        • 🎥 Representing 1 as a fraction
        • 🎥 Whole numbers as fractions
      • Topic C: Foundations
        • 🎥 Coordinate plane graphing word problem
        • 🎥 Fractions on number line widget
    • Module 4: Foundations
      • Topic A & D: Foundations
        • 🎥 Properties of multiplication
        • 🎥 Associative law of multiplication
        • 🎥 Distributive property over addition
        • 🎥 Distributive property over subtraction
      • Topic B: Foundations
        • 🎥 Finding factors and multiples
        • 🎥 Exponents and powers of 10 patterns
        • 🎥 Multiplying a decimal by a power of 10
        • 🎥 Dividing a decimal by a power of 10
      • Topic C: Foundations
        • 🎥 Constructing numerical expressions
        • 🎥 Evaluating expressions with & without parentheses
      • Topic E & F: Foundations
        • 🎥 Graphing patterns on coordinate plane
        • 🎥 Interpreting patterns on coordinate plane
        • 🎥 Interpreting relationships in ordered pairs
        • 🎥 Graphing sequence relationships
      • Topic G: Foundations
        • 🎥 Visually adding fractions: 5/6+1/4
        • 🎥 Visually subtracting fractions: 3/4-5/8
        • 🎥 Solving for the missing fraction
        • 🎥 Multiplying fractions and whole numbers visually
      • Topic H: Foundations
        • 🎥 Identifying an angle
        • 🎥 Constructing angles
        • 🎥 Measuring angles using a protractor 2
        • 🎥 Decomposing an angle
        • 🎥 Coordinate plane: graphing points
        • 🎥 Coordinate plane graphing word problem
        • 🎥 Drawing a quadrilateral on the coordinate plane example
    • Module 5: Foundations
      • Topic A: Foundations
        • 🎥 Area & perimeter word problem: table
        • 🎥 Area & perimeter word problem: dog pen
        • 🎥 Worked example: Classifying triangles
      • Topic B: Foundations
        • 🎥 Coordinate plane graphing word problem
      • Topic C: Foundations
        • 🎥 Volume intro
        • 🎥 Measuring volume with unit cubes
        • 🎥 Measuring volume as area times length
        • 🎥 Multiplying 2 fractions: fraction model
      • Topic D: Foundations
        • 🎥 Volume through decomposition
        • 🎥 Volume word problem: water tank
    • Module 6: Foundations
      • Topics A, B, C, & D: Foundations
        • 🎥 Line plot distribution: trail mix
        • 🎥 Multiplying 3-digit by 1-digit
        • 🎥 Multiplying 4-digit by 1-digit (regrouping)
        • 🎥 Multiplying multi-digit numbers
        • 🎥 Dividing by 2-digits: 7182÷42
        • 🎥 Intro to remainders
        • 🎥 Dividing whole numbers to get a decimal
  • 7th grade foundations (Eureka Math/EngageNY)
    • Module 1: Foundations
      • Topic A: Foundations
        • 🎥 Intro to ratios
        • 🎥 Part:whole ratios
      • Topic B: Foundations
        • 🎥 Intro to rates
        • 🎥 Solving unit rate problem
        • 🎥 Modeling with one-step equations
      • Topic C: Foundations
        • 🎥 Dividing fractions: 3/5 ÷ 1/2
        • 🎥 Comparing rates example
        • 🎥 Finding average speed or rate
        • 🎥 One-step multiplication & division equations: fractions & decimals
      • Topic D: Foundations
        • 🎥 Area of a parallelogram
        • 🎥 Area of a triangle
    • Module 2: Foundations
      • Topic A: Foundations
        • 🎥 Ordering negative numbers
        • 🎥 Negative symbol as opposite
      • Topic B: Foundations
        • 🎥 Multiplying 2 fractions: 5/6 x 2/3
        • 🎥 Multiplying mixed numbers
        • 🎥 Dividing fractions: 2/5 ÷ 7/3
      • Topic C: Foundations
        • 🎥 Adding decimals: 9.087+15.31
        • 🎥 Subtracting decimals: 39.1 - 0.794
        • 🎥 Multiplying challenging decimals
        • 🎥 Distributive property over addition
    • Module 3: Foundations
      • Topic A: Foundations
        • 🎥 Combining like terms
        • 🎥 Combining like terms with distribution
        • 🎥 Distributive property with variables
        • 🎥 Equivalent expressions
      • Topic B: Foundations
        • 🎥 One-step equations word problem: super yoga (1 of 2)
        • 🎥 One-step equations word problem: super yoga (2 of 2)
        • 🎥 Inequality word problem: one variable
        • 🎥 Plotting an inequality example
      • Topic C: Foundations
        • 🎥 Area of composite shapes
        • 🎥 Area of a quadrilateral on a grid
        • 🎥 Surface area of a box using nets
    • Module 4: Foundations
      • Topic A: Foundations
        • 🎥 The meaning of percent
        • 🎥 Converting percents to decimals & fractions example
        • 🎥 Finding a percent
        • 🎥 Percent of a whole number
        • 🎥 Identifying percent amount and base
      • Topic B: Foundations
        • 🎥 Meaning of 109%
        • 🎥 Percent word problem: 100 is what percent of 80?
        • 🎥 Percent word problem: recycling cans
        • 🎥 Percent word problem: penguins
        • 🎥 Solving percent problems
      • Topic C & D: Foundations
        • 🎥 Intro to rates
        • 🎥 Solving unit rate problem
        • 🎥 Comparing rates example
        • 🎥 Finding average speed or rate
        • 🎥 Area of composite shapes
        • 🎥 Area of a quadrilateral on a grid
    • Module 5: Foundations
      • Topic A, B, C, & D: Foundations
        • 🎥 Statistical questions
        • 🎥 Frequency tables & dot plots
        • 🎥 Creating a histogram
        • 🎥 Interpreting a histogram
        • 🎥 Shapes of distributions
        • 🎥 Clusters, gaps, peaks & outliers
        • 🎥 Statistics intro: Mean, median, & mode
        • 🎥 Mean, median, & mode example
        • 🎥 Impact on median & mean: removing an outlier
        • 🎥 Impact on median & mean: increasing an outlier
        • 🎥 Median & range puzzlers
    • Module 6: Foundations
      • Topic A: Foundations
        • 🎥 Angles in circles word problem
        • 🎥 Measuring angles using a protractor
        • 🎥 Decomposing an angle
        • 🎥 Decomposing angles
      • Topic B: Foundations
      • Topic D: Foundations
        • 🎥 Intro to nets of polyhedra
        • 🎥 Surface area of a box using nets
        • 🎥 Surface area of a box (cuboid)
        • 🎥 Area of a parallelogram
        • 🎥 Area of a triangle
        • 🎥 Area of composite shapes
        • 🎥 Area of a quadrilateral on a grid
      • Topic E: Foundations
        • 🎥 Volume through decomposition
        • 🎥 Volume word problem: water tank
        • 🎥 Volume of a rectangular prism: fractional dimensions
        • 🎥 Volume of a rectangular prism: word problem
  • 8th grade foundations (Eureka Math/EngageNY)
    • Module 1: Foundations
      • Topic A: Foundations
        • 🎥 Intro to exponents
        • 🎥 The zeroth power
        • 🎥 Powers of fractions
      • Topic B: Foundations
        • 🎥 Patterns in powers of 10
        • 🎥 Multiplying a decimal by a power of 10
        • 🎥 Dividing a decimal by a power of 10
    • Module 2: Foundations
      • Topic A: Foundations
        • 🎥 Classifying shapes by line and angles types
        • 🎥 Angle measurement & circle arcs
        • 🎥 Naming angles
      • Topic B: Foundations
        • 🎥 Lines, line segments, & rays
        • 🎥 Acute, right, & obtuse angles
        • 🎥 Classifying triangles
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Coordinate plane: graphing points
      • Topic C: Foundations
        • 🎥 Complementary & supplementary angles
        • 🎥 Vertical angles
      • Topic D: Foundations
        • 🎥 Perimeter & area
        • 🎥 Area of a parallelogram
        • 🎥 Area of trapezoids
        • 🎥 Area of composite shapes
    • Module 3: Foundations
      • Topic A: Foundations
        • 🎥 Intro to proportional relationships
        • 🎥 Proportional relationships
        • 🎥 Interpreting a scale drawing
        • 🎥 Making a scale drawing
      • Topic B: Foundations
        • 🎥 Writing proportions example
        • 🎥 Worked example: Solving proportions
        • 🎥 Complementary & supplementary angles
        • 🎥 Vertical angles
      • Topic C: Foundations
        • 🎥 Construct a right isosceles triangle
        • 🎥 Construct a triangle with constraints
        • 🎥 Triangle inequality theorem
    • Module 4: Foundations
      • Topic A: Foundations
        • 🎥 Writing basic expressions with variables
        • 🎥 Evaluating an expression with one variable
        • 🎥 Intro to two-step equations
        • 🎥 Worked example: two-step equations
      • Topic B: Foundations
        • 🎥 Solving unit rate problem
        • 🎥 Solving unit price problem
        • 🎥 Equations for proportional relationships
        • 🎥 Writing proportional equations
      • Topic C: Foundations
        • 🎥 Comparing rates example
        • 🎥 Proportional relationships: graphs
        • 🎥 Interpreting graphs of proportional relationships
      • Topic D: Foundations
        • 🎥 Variables, expressions, & equations
        • 🎥 Testing solutions to equations
    • Module 5: Foundations
      • Topic A: Foundations
        • 🎥 Intro to proportional relationships
        • 🎥 Proportional relationships
        • 🎥 Equations for proportional relationships
        • 🎥 Writing proportional equations
        • 🎥 Proportional relationships: graphs
        • 🎥 Interpreting graphs of proportional relationships
      • Topic B: Foundations
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Area of a circle
        • 🎥 Measuring volume as area times length
    • Module 6: Foundations
      • Topic A: Foundations
        • 🎥 Intro to two-step equations
        • 🎥 Worked example: two-step equations
        • 🎥 Two-step equations with decimals and fractions
        • 🎥 Two-step equation word problem: computers
        • 🎥 Two-step equation word problem: garden
        • 🎥 Two-step equation word problem: oranges
      • Topic B & C: Foundations
        • 🎥 Points on the coordinate plane examples
        • 🎥 Plotting a point (ordered pair)
        • 🎥 Finding the point not graphed
        • 🎥 Coordinate plane word problem examples
    • Module 7: Foundations
      • Topic A & B: Foundations
        • 🎥 Dividing by 2-digits: 7182÷42
        • 🎥 Decimals & fractions on the number line
        • 🎥 Fraction to decimal: 11/25
        • 🎥 Variables, expressions, & equations
        • 🎥 Testing solutions to equations
      • Topic C: Foundations
        • 🎥 Perimeter & area
        • 🎥 Area of a parallelogram
        • 🎥 Area of trapezoids
        • 🎥 Area of composite shapes
        • 🎥 Dimensions of a rectangle from coordinates
      • Topic D: Foundations
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Area of a circle
        • 🎥 Measuring volume as area times length
  • Mathematics I
    • Solving equations & inequalities
      • Linear equations with variables on both sides
        • 🎥 Why we do the same thing to both sides: Variable on both sides
        • 🎥 Intro to equations with variables on both sides
        • 🎥 Equations with variables on both sides: 20-7x=6x-6
        • 🎥 Equation with variables on both sides: fractions
        • 🎥 Equation with the variable in the denominator
      • Linear equations with parentheses
        • 🎥 Equations with parentheses
      • Analyzing the number of solutions to linear equations
        • 🎥 Number of solutions to equations
        • 🎥 Worked example: number of solutions to equations
        • 🎥 Creating an equation with no solutions
        • 🎥 Creating an equation with infinitely many solutions
      • Linear equations with unknown coefficients
        • 🎥 Linear equations with unknown coefficients
      • Multi-step inequalities
        • 🎥 Inequalities with variables on both sides
        • 🎥 Inequalities with variables on both sides (with parentheses)
        • 🎥 Multi-step inequalities
      • Compound inequalities
        • 🎥 Compound inequalities: OR
        • 🎥 Compound inequalities: AND
        • 🎥 A compound inequality with no solution
        • 🎥 Double inequalities
        • 🎥 Compound inequalities examples
    • Working with units
      • Rate conversion
        • 🎥 Intro to dimensional analysis
        • 🎥 Same rate with different units
      • Appropriate units
        • 🎥 Appropriate units
        • 🎥 Interpreting units in formulas
        • 🎥 Interpreting units in formulas: novel units
      • Word problems with multiple units
        • 🎥 Worked example: Rate problem
        • 🎥 Multiple units word problem: road trip
        • 🎥 Measurement word problem: running laps
        • 🎥 Multiple units word problem: drug dosage (advanced)
    • Linear equations & graphs
      • Two-variable linear equations intro
        • 🎥 Two-variable linear equations intro
        • 🎥 Solutions to 2-variable equations
        • 🎥 Worked example: solutions to 2-variable equations
        • 🎥 Completing solutions to 2-variable equations
      • x-intercepts and y-intercepts
        • 🎥 Intro to intercepts
        • 🎥 x-intercept of a line
        • 🎥 Intercepts from an equation
        • 🎥 Intercepts from a table
      • Slope
        • 🎥 Intro to slope
        • 🎥 Positive & negative slope
        • 🎥 Worked example: slope from graph
        • 🎥 Worked example: slope from two points
        • 🎥 Slope (more examples)
      • Horizontal & vertical lines
        • 🎥 Slope of a horizontal line
        • 🎥 Horizontal & vertical lines
      • Intro to slope-intercept form
        • 🎥 Intro to slope-intercept form
        • 🎥 Worked examples: slope-intercept intro
      • Graphing slope-intercept equations
        • 🎥 Graph from slope-intercept equation
      • Writing slope-intercept equations
        • 🎥 Slope-intercept equation from graph
        • 🎥 Slope-intercept equation from slope & point
        • 🎥 Slope-intercept equation from two points
        • 🎥 Slope-intercept form problems
      • Point-slope form
        • 🎥 Intro to point-slope form
        • 🎥 Point-slope & slope-intercept equations
      • Standard form
        • 🎥 Intro to linear equation standard form
        • 🎥 Graphing a linear equation: 5x+2y=20
        • 🎥 Converting from slope-intercept to standard form
      • Summary: Forms of two-variable linear equations
        • 🎥 Slope from equation
        • 🎥 Writing linear equations in all forms
    • Functions
      • Evaluating functions
        • 🎥 What is a function?
        • 🎥 Worked example: Evaluating functions from equation
        • 🎥 Worked example: evaluating functions from graph
        • 🎥 Worked example: evaluating expressions with function notation
      • Inputs and outputs of a function
        • 🎥 Worked example: matching an input to a function's output (equation)
        • 🎥 Worked example: matching an input to a function's output (graph)
        • 🎥 Worked example: two inputs with the same output (graph)
      • Functions and equations
        • 🎥 Equations vs. functions
        • 🎥 Obtaining a function from an equation
      • Interpreting function notation
        • 🎥 Function notation word problem: bank
        • 🎥 Function notation word problem: beach
      • Introduction to the domain and range of a function
        • 🎥 Intervals and interval notation
        • 🎥 What is the domain of a function?
        • 🎥 What is the range of a function?
        • 🎥 Worked example: domain and range from graph
      • Determining the domain of a function
        • 🎥 Domain of a radical function
        • 🎥 Worked example: domain of algebraic functions
        • 🎥 Worked example: determining domain word problem (real numbers)
        • 🎥 Worked example: determining domain word problem (positive integers)
        • 🎥 Worked example: determining domain word problem (all integers)
      • Recognizing functions
        • 🎥 Recognizing functions from graph
        • 🎥 Does a vertical line represent a function?
        • 🎥 Recognizing functions from table
        • 🎥 Recognizing functions from verbal description
        • 🎥 Recognizing functions from verbal description word problem
      • Maximum and minimum points
        • 🎥 Introduction to minimum and maximum points
        • 🎥 Worked example: relative maxima and minima
      • Intervals where a function is positive, negative, increasing, or decreasing
        • 🎥 Increasing, decreasing, positive or negative intervals
        • 🎥 Worked example: positive & negative intervals
      • Interpreting features of graphs
        • 🎥 Graph interpretation word problem: temperature
        • 🎥 Graph interpretation word problem: basketball
      • Average rate of change
        • 🎥 Introduction to average rate of change
        • 🎥 Worked example: average rate of change from graph
        • 🎥 Worked example: average rate of change from table
        • 🎥 Worked example: average rate of change from equation
      • Average rate of change word problems
        • 🎥 Average rate of change word problem: table
        • 🎥 Average rate of change word problem: graph
        • 🎥 Average rate of change word problem: equation
    • Linear word problems
      • Interpreting linear functions and equations
        • 🎥 Linear equations word problems: earnings
        • 🎥 Linear equations word problems: volcano
        • 🎥 Linear graphs word problems
        • 🎥 Linear graphs word problem: cats
        • 🎥 Linear equations word problem: marbles
        • 🎥 Linear equations word problem: file transfer
      • Comparing linear functions
        • 🎥 Comparing linear functions: equation vs. graph
        • 🎥 Comparing linear functions: table vs. graph
        • 🎥 Comparing linear functions: table vs. graph
        • 🎥 Comparing linear functions word problem: climb
        • 🎥 Comparing linear functions word problem: walk
        • 🎥 Comparing linear functions word problem: work
      • Constructing linear models for real-world relationships
        • 🎥 Linear functions word problem: fuel
        • 🎥 Linear functions word problem: pool
        • 🎥 Linear functions word problem: iceberg
        • 🎥 Linear functions word problem: paint
      • Linear models word problems
        • 🎥 Linear models word problem: book
        • 🎥 Linear models word problem: marbles
    • Systems of equations
      • Systems of equations overview
        • 🎥 Systems of equations: trolls, tolls (1 of 2)
        • 🎥 Systems of equations: trolls, tolls (2 of 2)
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with substitution: potato chips
        • 🎥 Systems of equations number of solutions: fruit prices (1 of 2)
        • 🎥 Systems of equations number of solutions: fruit prices (2 of 2)
      • Introduction to systems of equations
        • 🎥 Systems of equations: trolls, tolls (1 of 2)
        • 🎥 Systems of equations: trolls, tolls (2 of 2)
        • 🎥 Testing a solution to a system of equations
        • 🎥 Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
        • 🎥 Systems of equations with graphing: exact & approximate solutions
      • Equivalent systems of equations and the elimination method
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: x-4y=-18 & -x+3y=11
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with elimination (and manipulation)
        • 🎥 Why can we subtract one equation from the other in a system of equations?
        • 🎥 Worked example: equivalent systems of equations
        • 🎥 Worked example: non-equivalent systems of equations
      • Solving systems of equations with substitution
        • 🎥 Systems of equations with substitution: potato chips
        • 🎥 Systems of equations with substitution: -3x-4y=-2 & y=2x-5
      • Manipulating expressions with unknown variables
        • 🎥 Manipulating expressions using structure
        • 🎥 Manipulating expressions using structure (example 2)
      • Number of solutions to systems of equations
        • 🎥 Systems of equations number of solutions: fruit prices (1 of 2)
        • 🎥 Systems of equations number of solutions: fruit prices (2 of 2)
        • 🎥 Solutions to systems of equations: consistent vs. inconsistent
        • 🎥 Solutions to systems of equations: dependent vs. independent
        • 🎥 Number of solutions to a system of equations graphically
        • 🎥 Number of solutions to a system of equations algebraically
        • 🎥 How many solutions does a system of linear equations have if there are at least two?
      • Solving any system of linear equations
      • Systems of equations word problems
        • 🎥 Age word problem: Imran
        • 🎥 Age word problem: Ben & William
        • 🎥 Age word problem: Arman & Diya
        • 🎥 System of equations word problem: walk & ride
        • 🎥 System of equations word problem: no solution
        • 🎥 System of equations word problem: infinite solutions
        • 🎥 Systems of equations with elimination: TV & DVD
        • 🎥 Systems of equations with elimination: apples and oranges
        • 🎥 Systems of equations with substitution: coins
        • 🎥 Systems of equations with elimination: coffee and croissants
    • Inequalities (systems & graphs)
      • Checking solutions of two-variable inequalities
        • 🎥 Testing solutions to inequalities
        • 🎥 Testing solutions to systems of inequalities
      • Graphing two-variable inequalities
        • 🎥 Intro to graphing two-variable inequalities
        • 🎥 Graphing two-variable inequalities
        • 🎥 Two-variable inequalities from their graphs
        • 🎥 Intro to graphing systems of inequalities
        • 🎥 Graphing systems of inequalities
      • Modeling with linear inequalities
        • 🎥 Writing two-variable inequalities word problem
        • 🎥 Interpreting two-variable inequalities word problem
        • 🎥 Solving two-variable inequalities word problem
        • 🎥 Graphs of two-variable inequalities word problem
        • 🎥 Modeling with systems of inequalities
        • 🎥 Writing systems of inequalities word problem
        • 🎥 Solving systems of inequalities word problem
        • 🎥 Graphs of systems of inequalities word problem
        • 🎥 Analyzing structure with linear inequalities: fruits
        • 🎥 Analyzing structure with linear inequalities: balls
    • Scatterplots
      • Creating and interpreting scatterplots
        • 🎥 Constructing a scatter plot
        • 🎥 Scatter plots: studying, shoe size, and test scores
        • 🎥 Example: Correlation coefficient intuition
        • 🎥 Correlation and causality
      • Estimating with trend lines
        • 🎥 Estimating the line of best fit exercise
        • 🎥 Line of best fit: smoking in 1945
        • 🎥 Interpreting a trend line
    • Data distributions
      • Displays of distributions
        • 🎥 Frequency tables & dot plots
        • 🎥 Creating a histogram
        • 🎥 Interpreting a histogram
        • 🎥 Shapes of distributions
      • Summarizing center of distributions (central tendency)
        • 🎥 Statistics intro: Mean, median, & mode
        • 🎥 Mean, median, & mode example
        • 🎥 Missing value given the mean
        • 🎥 Impact on median & mean: removing an outlier
        • 🎥 Impact on median & mean: increasing an outlier
      • Box and whisker plots
        • 🎥 Constructing a box plot
        • 🎥 Reading box plots
        • 🎥 Interpreting box plots
      • Comparing distributions
        • 🎥 Comparing distributions with dot plots (example problem)
    • Two-way tables
      • Two-way frequency tables
      • Two-way relative frequency tables
        • 🎥 Two-way relative frequency tables
        • 🎥 Interpreting two-way tables
    • Sequences
      • Introduction to arithmetic sequences
        • 🎥 Sequences intro
        • 🎥 Intro to arithmetic sequences
        • 🎥 Extending arithmetic sequences
        • 🎥 Using arithmetic sequences formulas
        • 🎥 Worked example: using recursive formula for arithmetic sequence
      • Constructing arithmetic sequences
        • 🎥 Recursive formulas for arithmetic sequences
        • 🎥 Explicit formulas for arithmetic sequences
        • 🎥 Arithmetic sequence problem
        • 🎥 Converting recursive & explicit forms of arithmetic sequences
      • Introduction to geometric sequences
        • 🎥 Intro to geometric sequences
        • 🎥 Extending geometric sequences
        • 🎥 Using explicit formulas of geometric sequences
        • 🎥 Using recursive formulas of geometric sequences
      • Constructing geometric sequences
        • 🎥 Explicit & recursive formulas for geometric sequences
        • 🎥 Converting recursive & explicit forms of geometric sequences
      • Modeling with sequences
        • 🎥 Sequences word problems
      • General sequences
        • 🎥 Evaluating sequences in recursive form
    • Rational exponents & radicals
      • Exponent properties review
        • 🎥 Multiplying & dividing powers (integer exponents)
        • 🎥 Powers of products & quotients (integer exponents)
      • Radicals
        • 🎥 Intro to square roots
        • 🎥 Understanding square roots
        • 🎥 Intro to cube roots
        • 🎥 Square root of decimal
        • 🎥 5th roots
      • Rational exponents intro
        • 🎥 Intro to rational exponents
        • 🎥 Rewriting roots as rational exponents
        • 🎥 Exponential equation with rational answer
      • Properties of exponents (rational exponents)
        • 🎥 Simplifying quotient of powers (rational exponents)
        • 🎥 Simplifying mixed radical and exponential expressions
      • Advanced exponent & radical evaluation
        • 🎥 Evaluating fractional exponents
        • 🎥 Evaluating fractional exponents: negative unit-fraction
        • 🎥 Evaluating fractional exponents: fractional base
        • 🎥 Evaluating quotient of fractional exponents
        • 🎥 Evaluating mixed radicals and exponents
      • Simplifying square roots
        • 🎥 Simplifying square roots
        • 🎥 Simplifying square roots (variables)
        • 🎥 Simplifying square-root expressions
      • Simplifying radicals (higher-index roots)
        • 🎥 Simplifying higher-index roots
        • 🎥 Simplifying cube root expressions
        • 🎥 Simplifying cube root expressions (two variables)
        • 🎥 Simplifying higher-index root expressions
    • Exponential growth & decay
      • Exponential vs. linear growth
        • 🎥 Intro to exponential functions
        • 🎥 Exponential vs. linear growth
        • 🎥 Exponential vs. linear models: verbal
        • 🎥 Exponential vs. linear models: table
      • Exponential expressions
        • 🎥 Exponential expressions word problems (numerical)
        • 🎥 Initial value & common ratio of exponential functions
        • 🎥 Exponential expressions word problems (algebraic)
        • 🎥 Interpreting exponential expression word problem
      • Graphs of exponential growth
        • 🎥 Exponential function graph
        • 🎥 Graphs of exponential growth
      • Exponential vs. linear growth over time
        • 🎥 Exponential vs. linear growth over time
      • Exponential decay
        • 🎥 Exponential decay intro
        • 🎥 Graphing exponential growth & decay
        • 🎥 Exponential growth & decay word problems
      • Exponential functions from tables & graphs
        • 🎥 Writing exponential functions
        • 🎥 Writing exponential functions from tables
        • 🎥 Writing exponential functions from graphs
        • 🎥 Analyzing tables of exponential functions
        • 🎥 Analyzing graphs of exponential functions
        • 🎥 Analyzing graphs of exponential functions: negative initial value
        • 🎥 Modeling with basic exponential functions word problem
    • Geometry transformations
      • Introduction to rigid transformations
        • 🎥 Rigid transformations intro
      • Translations
        • 🎥 Translating shapes
        • 🎥 Determining translations
        • 🎥 Translation challenge problem
      • Rotations
        • 🎥 Rotating shapes
        • 🎥 Determining rotations
      • Reflections
        • 🎥 Reflecting shapes: diagonal line of reflection
        • 🎥 Determining reflections (advanced)
      • Rigid transformations overview
      • Dilations
        • 🎥 Performing dilations
        • 🎥 Dilating shapes: expanding
        • 🎥 Dilating shapes: shrinking
      • Properties & definitions of transformations
        • 🎥 Identifying type of transformation
      • Symmetry
        • 🎥 Intro to reflective symmetry
        • 🎥 Intro to rotational symmetry
        • 🎥 Finding a quadrilateral from its symmetries
        • 🎥 Finding a quadrilateral from its symmetries (example 2)
    • Congruence
      • Transformations & congruence
        • 🎥 Congruent shapes & transformations
        • 🎥 Non-congruent shapes & transformations
      • Triangle congruence
        • 🎥 Congruent triangles & the SSS postulate/criterion
        • 🎥 Triangle congruence postulates/criteria
        • 🎥 Why SSA isn't a congruence postulate/criterion
        • 🎥 Determining congruent triangles
      • Theorems concerning triangle properties
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Proofs concerning isosceles triangles
        • 🎥 Proofs concerning equilateral triangles
      • Working with triangles
        • 🎥 Corresponding angles in congruent triangles
        • 🎥 Isosceles & equilateral triangles problems
        • 🎥 Finding angles in isosceles triangles
        • 🎥 Finding angles in isosceles triangles (example 2)
      • Theorems concerning quadrilateral properties
        • 🎥 Proof: Opposite sides of a parallelogram
        • 🎥 Proof: Diagonals of a parallelogram
        • 🎥 Proof: Opposite angles of a parallelogram
        • 🎥 Proof: The diagonals of a kite are perpendicular
        • 🎥 Proof: Rhombus diagonals are perpendicular bisectors
        • 🎥 Proof: Rhombus area
      • Proofs of general theorems that use triangle congruence
        • 🎥 Geometry proof problem: midpoint
        • 🎥 Geometry proof problem: congruent segments
        • 🎥 Geometry proof problem: squared circle
      • Constructing bisectors of lines & angles
        • 🎥 Geometric constructions: perpendicular bisector
        • 🎥 Geometric constructions: perpendicular line
        • 🎥 Geometric constructions: angle bisector
    • Analytic geometry
      • Distance and midpoints
        • 🎥 Distance formula
        • 🎥 Midpoint formula
      • Dividing line segments
        • 🎥 Dividing line segments: graphical
        • 🎥 Dividing line segments
      • Problem solving with distance on the coordinate plane
        • 🎥 Area of trapezoid on the coordinate plane
        • 🎥 Points inside/outside/on a circle
        • 🎥 Challenge problem: Points on two circles
        • 🎥 Coordinate plane word problem
      • Parallel & perpendicular lines on the coordinate plane
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines from graph
      • Equations of parallel & perpendicular lines
        • 🎥 Parallel lines from equation
        • 🎥 Parallel lines from equation (example 2)
        • 🎥 Parallel lines from equation (example 3)
        • 🎥 Perpendicular lines from equation
        • 🎥 Writing equations of perpendicular lines
        • 🎥 Writing equations of perpendicular lines (example 2)
        • 🎥 Proof: parallel lines have the same slope
        • 🎥 Proof: perpendicular lines have negative reciprocal slope
      • Coordinate plane proofs
        • 🎥 Classifying quadrilaterals on the coordinate plane
  • Mathematics II
    • Absolute value & piecewise functions
      • Graphs of absolute value functions
        • 🎥 Shifting absolute value graphs
        • 🎥 Scaling & reflecting absolute value functions: equation
        • 🎥 Scaling & reflecting absolute value functions: graph
        • 🎥 Graphing absolute value functions
      • Piecewise functions
        • 🎥 Introduction to piecewise functions
        • 🎥 Worked example: evaluating piecewise functions
        • 🎥 Worked example: graphing piecewise functions
        • 🎥 Worked example: domain & range of step function
        • 🎥 Worked example: domain & range of piecewise linear functions
    • Polynomials
      • Intro to polynomials
        • 🎥 Polynomials intro
        • 🎥 The parts of polynomial expressions
        • 🎥 Evaluating polynomials
        • 🎥 Simplifying polynomials
      • Adding & subtracting polynomials
        • 🎥 Adding polynomials
        • 🎥 Subtracting polynomials
        • 🎥 Polynomial subtraction & set closure
        • 🎥 Adding & subtracting multiple polynomials
      • Adding & subtracting polynomials: two variables
        • 🎥 Adding polynomials: two variables
        • 🎥 Subtracting polynomials: two variables
        • 🎥 Subtracting polynomials: two variables challenge
        • 🎥 Finding an error in polynomial subtraction
        • 🎥 Polynomials review
      • Multiplying monomials
        • 🎥 Multiplying monomials
        • 🎥 Multiplying monomials to find area: two variables
        • 🎥 Multiplying monomials to find area
        • 🎥 Multiplying monomials challenge
      • Multiplying monomials by polynomials
        • 🎥 Multiplying monomials by polynomials: area model
        • 🎥 Multiplying monomials by polynomials
        • 🎥 Multiplying monomials by polynomials challenge
      • Multiplying binomials
        • 🎥 Multiplying binomials: area model
        • 🎥 Multiplying binomials intro
        • 🎥 Multiplying binomials
      • Multiplying binomials by polynomials
        • 🎥 Multiplying binomials by polynomials
        • 🎥 Multiplying binomials by polynomials: area model
        • 🎥 Multiplying binomials by polynomials challenge
      • Special products of binomials
        • 🎥 Special products of the form (x+a)(x-a)
        • 🎥 Squaring binomials of the form (x+a)²
        • 🎥 Special products of the form (ax+b)(ax-b)
        • 🎥 Squaring binomials of the form (ax+b)²
        • 🎥 Special products of binomials: two variables
        • 🎥 More examples of special products
      • Polynomials word problems
        • 🎥 Polynomial multiplication word problem
        • 🎥 Polynomial word problem: rectangle and circle area
        • 🎥 Polynomial word problem: total value of bills
        • 🎥 Polynomial word problem: area of a window
      • Long division of polynomials
        • 🎥 Intro to long division of polynomials
        • 🎥 Dividing polynomials: long division
      • Synthetic division of polynomials
        • 🎥 Intro to polynomial synthetic division
        • 🎥 Dividing polynomials: synthetic division
        • 🎥 Why synthetic division works
      • Practice dividing polynomials with remainders
        • 🎥 Dividing polynomials with remainders: monomial divisors
        • 🎥 Dividing polynomials with remainders: monomial divisors (example 2)
        • 🎥 Dividing polynomials with remainders
    • Factorization
      • Introduction to factorization
        • 🎥 Intro to factors & divisibility
      • Factoring monomials
        • 🎥 Monomial factorization
        • 🎥 Worked example: finding the missing monomial factor
        • 🎥 Worked example: finding missing monomial side in area model
        • 🎥 Greatest common factor of monomials
      • Factoring polynomials by taking common factors
        • 🎥 Factoring with the distributive property
        • 🎥 Factoring binomials: common factor
        • 🎥 Factoring polynomials: common factor
        • 🎥 Factoring polynomials: common factor area model
        • 🎥 Factoring polynomials: common binomial factor
      • Evaluating expressions with unknown variables
        • 🎥 Worked example: evaluating expressions using structure
        • 🎥 Worked example: evaluating expressions using structure (more examples)
      • Factoring quadratics intro
        • 🎥 Factoring quadratics as (x+a)(x+b)
        • 🎥 Factoring quadratics as (x+a)(x+b) (example 2)
        • 🎥 More examples of factoring quadratics as (x+a)(x+b)
      • Factoring quadratics by grouping
        • 🎥 Intro to grouping
        • 🎥 Factoring quadratics by grouping
      • Factoring polynomials with quadratic forms
        • 🎥 Factoring quadratics: common factor + grouping
        • 🎥 Factoring quadratics: negative common factor + grouping
        • 🎥 Factoring two-variable quadratics
        • 🎥 Factoring two-variable quadratics: rearranging
        • 🎥 Factoring two-variable quadratics: grouping
      • Factoring quadratics: Difference of squares
        • 🎥 Difference of squares intro
        • 🎥 Factoring difference of squares: leading coefficient ≠ 1
        • 🎥 Factoring difference of squares: analyzing factorization
        • 🎥 Factoring difference of squares: missing values
        • 🎥 Factoring difference of squares: shared factors
      • Factoring quadratics: Perfect squares
        • 🎥 Perfect square factorization intro
        • 🎥 Factoring perfect squares
        • 🎥 Identifying perfect square form
        • 🎥 Factoring perfect squares: common factor
        • 🎥 Factoring perfect squares: negative common factor
        • 🎥 Factoring perfect squares: missing values
        • 🎥 Factoring perfect squares: shared factors
      • Strategy in factoring quadratics
        • 🎥 Strategy in factoring quadratics (part 1 of 2)
        • 🎥 Strategy in factoring quadratics (part 2 of 2)
      • Factoring polynomials with special product forms
        • 🎥 Factoring perfect squares: 4th degree polynomial
        • 🎥 Factoring difference of squares: two variables
        • 🎥 Factoring difference of squares: two variables (example 2)
      • Polynomial Remainder Theorem
        • 🎥 Intro to the Polynomial Remainder Theorem
        • 🎥 Using the Polynomial Remainder Theorem: finding remainders
        • 🎥 Using the Polynomial Remainder Theorem: checking factors
        • 🎥 Using the Polynomial Remainder Theorem: finding coefficients
        • 🎥 Proof of the Polynomial Remainder Theorem
    • Quadratics
      • Parabolas intro
        • 🎥 Parabolas intro
      • Quadratic factored form
        • 🎥 Zero product property
        • 🎥 Graphing quadratics in factored form
        • 🎥 Quadratic word problems (factored form)
      • Solving quadratics by taking square roots
        • 🎥 Solving quadratics by taking square roots
        • 🎥 Solving quadratics by taking square roots examples
        • 🎥 Solving quadratics by taking square roots: strategy
        • 🎥 Quadratics by taking square roots: with steps
      • Quadratic vertex form
        • 🎥 Vertex form introduction
        • 🎥 Graphing quadratics: vertex form
        • 🎥 Quadratic word problems (vertex form)
      • Solving quadratics by factoring
        • 🎥 Solving quadratics by factoring
        • 🎥 Solving quadratics by factoring: leading coefficient ≠ 1
        • 🎥 Solving quadratics using structure
        • 🎥 Quadratic equations word problem: triangle dimensions
        • 🎥 Quadratic equations word problem: box dimensions
      • Completing the square
        • 🎥 Completing the square
        • 🎥 Worked example: Completing the square (intro)
        • 🎥 Worked example: Rewriting expressions by completing the square
        • 🎥 Worked example: Solving equations by completing the square
        • 🎥 Worked example: completing the square (leading coefficient ≠ 1)
        • 🎥 Solving quadratics by completing the square: no solution
      • The quadratic formula
        • 🎥 The quadratic formula
        • 🎥 Using the quadratic formula
        • 🎥 Worked example: quadratic formula
        • 🎥 Worked example: quadratic formula (example 2)
        • 🎥 Worked example: quadratic formula (negative coefficients)
        • 🎥 Using the quadratic formula: number of solutions
        • 🎥 Proof of the quadratic formula
      • Quadratic standard form
        • 🎥 Finding the vertex of a parabola in standard form
        • 🎥 Graphing quadratics: standard form
        • 🎥 Quadratic word problem: ball
      • Features & forms of quadratic functions
        • 🎥 Forms & features of quadratic functions
        • 🎥 Worked examples: Forms & features of quadratic functions
        • 🎥 Vertex & axis of symmetry of a parabola
        • 🎥 Finding features of quadratic functions
        • 🎥 Comparing features of quadratic functions
        • 🎥 Comparing maximum points of quadratic functions
      • Transforming parabolas
        • 🎥 Intro to parabola transformations
        • 🎥 Shifting parabolas
        • 🎥 Scaling & reflecting parabolas
    • Irrational numbers
      • Irrational numbers
        • 🎥 Intro to rational & irrational numbers
        • 🎥 Classifying numbers: rational & irrational
      • Sums & products of rational/irrational numbers
        • 🎥 Proof: sum & product of two rationals is rational
        • 🎥 Proof: product of rational & irrational is irrational
        • 🎥 Proof: sum of rational & irrational is irrational
        • 🎥 Sums and products of irrational numbers
        • 🎥 Worked example: rational vs. irrational expressions
        • 🎥 Worked example: rational vs. irrational expressions (unknowns)
      • Proofs concerning irrational numbers
        • 🎥 Proof: √2 is irrational
        • 🎥 Proof: square roots of prime numbers are irrational
        • 🎥 Proof: there's an irrational number between any two rational numbers
    • Complex numbers
      • What are the imaginary numbers?
        • 🎥 Intro to the imaginary numbers
        • 🎥 Simplifying roots of negative numbers
        • 🎥 Powers of the imaginary unit
        • 🎥 i as the principal root of -1
      • What are the complex numbers?
        • 🎥 Intro to complex numbers
      • The complex plane
        • 🎥 Plotting numbers on the complex plane
      • Adding & subtracting complex numbers
        • 🎥 Adding complex numbers
        • 🎥 Subtracting complex numbers
      • Multiplying complex numbers
        • 🎥 Multiplying complex numbers
    • Exponential growth & decay
      • Equivalent forms of exponential expressions
        • 🎥 Simplifying exponential expressions
        • 🎥 Rewriting exponential expressions
      • Exponential equations: properties of exponents
        • 🎥 Solving exponential equations using exponent properties
        • 🎥 Solving exponential equations using exponent properties (advanced)
      • Interpreting the rate of change of exponential models
        • 🎥 Interpreting change in exponential models
        • 🎥 Interpreting time in exponential models
      • Constructing exponential models according to rate of change
        • 🎥 Constructing exponential models
        • 🎥 Constructing exponential models: half life
        • 🎥 Constructing exponential models: percent change
        • 🎥 Constructing exponential models (old example)
      • Advanced interpretation of exponential models
        • 🎥 Interpreting change in exponential models: with manipulation
        • 🎥 Interpreting change in exponential models: changing units
        • 🎥 Structure in exponential expression
      • Distinguishing between linear and exponential growth
        • 🎥 Linear vs. exponential growth: from data
        • 🎥 Linear vs. exponential growth: from data (example 2)
        • 🎥 Comparing growth of exponential & quadratic models
    • Modeling with algebra
      • Modeling with one-variable equations & inequalities
        • 🎥 Rational equation word problem
        • 🎥 Quadratic inequality word problem
        • 🎥 Exponential equation word problem
      • Manipulating formulas
        • 🎥 Manipulating formulas: perimeter
        • 🎥 Manipulating formulas: area
        • 🎥 Manipulating formulas: temperature
    • Similarity
      • Definitions of similarity
        • 🎥 Similar shapes & transformations
      • Introduction to triangle similarity
        • 🎥 Intro to triangle similarity
        • 🎥 Triangle similarity postulates/criteria
        • 🎥 Determining similar triangles
        • 🎥 Proving slope is constant using similarity
      • Solving similar triangles
        • 🎥 Solving similar triangles
        • 🎥 Solving similar triangles: same side plays different roles
      • Angle bisector theorem
        • 🎥 Intro to angle bisector theorem
        • 🎥 Using the angle bisector theorem
      • Solving problems with similar & congruent triangles
        • 🎥 Using similar & congruent triangles
        • 🎥 Challenging similarity problem
      • Solving modeling problems with similar & congruent triangles
        • 🎥 Geometry word problem: the golden ratio
        • 🎥 Geometry word problem: Earth & Moon radii
        • 🎥 Geometry word problem: a perfect pool shot
    • Right triangles & trigonometry
      • Pythagorean theorem
        • 🎥 Intro to the Pythagorean theorem
        • 🎥 Intro to the Pythagorean theorem 2
        • 🎥 Pythagorean theorem word problem: fishing boat
        • 🎥 Pythagorean theorem example
        • 🎥 Pythagorean theorem word problem: carpet
        • 🎥 Introduction to the Pythagorean theorem
        • 🎥 Pythagorean theorem II
      • Pythagorean theorem proofs
        • 🎥 Garfield's proof of the Pythagorean theorem
        • 🎥 Bhaskara's proof of the Pythagorean theorem
        • 🎥 Pythagorean theorem proof using similarity
        • 🎥 Another Pythagorean theorem proof
      • Pursuit of a Pythagorean proof (optional)
      • Special right triangles
        • 🎥 Special right triangles intro (part 1)
        • 🎥 Special right triangles intro (part 2)
        • 🎥 30-60-90 triangle example problem
        • 🎥 Special right triangles proof (part 1)
        • 🎥 Special right triangles proof (part 2)
        • 🎥 Area of a regular hexagon
      • Introduction to the trigonometric ratios
        • 🎥 Intro to the trigonometric ratios
        • 🎥 Trigonometric ratios in right triangles
      • Solving for a side in a right triangle using the trigonometric ratios
        • 🎥 Solving for a side in right triangles with trigonometry
      • Solving for an angle in a right triangle using the trigonometric ratios
      • Modeling with right triangles
        • 🎥 Right triangle word problem
      • Trigonometric ratios & similarity
        • 🎥 Triangle similarity & the trigonometric ratios
        • 🎥 Trig challenge problem: verify identities
        • 🎥 Trig challenge problem: trig values & side ratios
      • Sine & cosine of complementary angles
        • 🎥 Sine & cosine of complementary angles
        • 🎥 Using complementary angles
        • 🎥 Trig word problem: complementary angles
    • Solid geometry
      • Solid geometry intro
        • 🎥 Volume of triangular prism & cube
        • 🎥 Volume of a cone
        • 🎥 Cylinder volume & surface area
        • 🎥 Volume of a sphere
      • Density
        • 🎥 Density word problem: blimp
      • 2D vs. 3D objects
        • 🎥 Slicing a rectangular pyramid
        • 🎥 Ways to cross-section a cube
        • 🎥 Rotating 2D shapes in 3D
    • Circles
      • Circle basics
        • 🎥 Circles glossary
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Proof: all circles are similar
      • Arc measure
        • 🎥 Intro to arc measure
        • 🎥 Finding arc measures
        • 🎥 Finding arc measures with equations
      • Arc length (degrees)
        • 🎥 Arc length from subtended angle
        • 🎥 Subtended angle from arc length
      • Introduction to radians
        • 🎥 Intro to radians
        • 🎥 Radians & degrees
        • 🎥 Degrees to radians
        • 🎥 Radians to degrees
      • Arc length (radians)
        • 🎥 Arc length as fraction of circumference
        • 🎥 Arc length from subtended angle: radians
      • Sectors
        • 🎥 Area of a sector
      • Inscribed angles
        • 🎥 Inscribed angles
        • 🎥 Inscribed angle theorem proof
      • Inscribed shapes problem solving
        • 🎥 Proof: Right triangles inscribed in circles
        • 🎥 Inscribed shapes: find diameter
        • 🎥 Inscribed shapes: angle subtended by diameter
        • 🎥 Inscribed shapes: find inscribed angle
        • 🎥 Inscribed quadrilaterals proof
        • 🎥 Solving inscribed quadrilaterals
      • Properties of tangents
        • 🎥 Proof: Radius is perpendicular to tangent line
        • 🎥 Proof: Segments tangent to circle from outside point are congruent
        • 🎥 Tangents of circles problem (example 1)
        • 🎥 Tangents of circles problem (example 2)
        • 🎥 Tangents of circles problem (example 3)
      • Area of inscribed triangle
        • 🎥 Proof: radius is perpendicular to a chord it bisects
        • 🎥 Proof: perpendicular radius bisects chord
        • 🎥 Area of inscribed equilateral triangle
      • Constructing regular polygons inscribed in circles
        • 🎥 Geometric constructions: circle-inscribed square
        • 🎥 Geometric constructions: circle-inscribed equilateral triangle
        • 🎥 Geometric constructions: circle-inscribed regular hexagon
      • Constructing circumcircles & incircles
        • 🎥 Geometric constructions: triangle-inscribing circle
        • 🎥 Geometric constructions: triangle-circumscribing circle
      • Constructing a line tangent to a circle
        • 🎥 Geometric constructions: circle tangent
        • 🎥 Geometric constructions: circle tangent (example 2)
    • Conic sections
      • Introduction to conic sections
        • 🎥 Intro to conic sections
      • Features of a circle
        • 🎥 Graphing circles from features
        • 🎥 Features of a circle from its graph
      • Standard equation of a circle
        • 🎥 Features of a circle from its standard equation
        • 🎥 Graphing a circle from its standard equation
        • 🎥 Writing standard equation of a circle
      • Expanded equation of a circle
        • 🎥 Features of a circle from its expanded equation
      • Focus & directrix of a parabola
        • 🎥 Intro to focus & directrix
        • 🎥 Equation of a parabola from focus & directrix
        • 🎥 Focus & directrix of a parabola from equation
    • Probability
      • Probability basics
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
        • 🎥 Experimental probability
        • 🎥 Theoretical and experimental probabilites
        • 🎥 Making predictions with probability
        • 🎥 Intuitive sense of probabilities
        • 🎥 Probability models example: frozen yogurt
      • Counting with combinations
        • 🎥 Intro to combinations
        • 🎥 Combination formula
        • 🎥 Handshaking combinations
        • 🎥 Combination example: 9 card hands
      • Probability with counting, permutations, combinations
        • 🎥 Probability with counting outcomes
        • 🎥 Example: All the ways you can flip a coin
        • 🎥 Example: Different ways to pick officers
        • 🎥 Example: Combinatorics and probability
        • 🎥 Mega millions jackpot probability
      • Multiplication rule for independent events
        • 🎥 Compound probability of independent events
        • 🎥 Independent events example: test taking
        • 🎥 Free-throw probability
      • Multiplication rule for dependent events
        • 🎥 Dependent probability introduction
        • 🎥 Independent & dependent probability
        • 🎥 Dependent probability: coins
      • Addition rule for probability
        • 🎥 Probability with Venn diagrams
        • 🎥 Addition rule for probability
      • Conditional probability
      • Simulation and randomness
      • Expected value
  • Mathematics III
    • Functions
      • Combining functions
        • 🎥 Adding functions
        • 🎥 Subtracting functions
        • 🎥 Multiplying functions
        • 🎥 Dividing functions
      • Composing functions
        • 🎥 Intro to composing functions
        • 🎥 Evaluating composite functions
        • 🎥 Evaluating composite functions: using tables
        • 🎥 Evaluating composite functions: using graphs
        • 🎥 Finding composite functions
        • 🎥 Evaluating composite functions (advanced)
      • Modeling situations by combining & composing functions
        • 🎥 Modeling with function combination
        • 🎥 Modeling with composite functions
        • 🎥 Modeling with composite functions (example 2)
      • Shifting functions
        • 🎥 Shifting functions
        • 🎥 Graphing shifted functions
      • Stretching functions
        • 🎥 Shifting & reflecting functions
        • 🎥 Compressing functions
        • 🎥 Reflecting & compressing functions
      • Introduction to inverses of functions
        • 🎥 Intro to inverse functions
        • 🎥 Inputs & outputs of inverse functions
        • 🎥 Graphing the inverse of a linear function
      • Finding inverse functions
        • 🎥 Finding inverse functions: linear
        • 🎥 Finding inverse functions: quadratic
        • 🎥 Finding inverse functions: quadratic (example 2)
        • 🎥 Finding inverse functions: radical
        • 🎥 Finding inverse functions: rational
      • Verifying that functions are inverses
        • 🎥 Verifying inverse functions by composition
        • 🎥 Verifying inverse functions by composition: not inverse
      • Determining whether a function is invertible
        • 🎥 Determining if a function is invertible
        • 🎥 Restricting domains of functions to make them invertible
    • Polynomials
      • Binomial theorem
        • 🎥 Intro to the Binomial Theorem
        • 🎥 Pascal's triangle and binomial expansion
        • 🎥 Expanding binomials
        • 🎥 Expanding binomials w/o Pascal's triangle
      • Understanding the binomial theorem
        • 🎥 Binomial expansion & combinatorics
        • 🎥 Pascal's triangle & combinatorics
        • 🎥 Binomial expansion & combinatorics (old)
      • Advanced polynomial factorization methods
        • 🎥 Factoring higher-degree polynomials
        • 🎥 Factoring sum of cubes
        • 🎥 Factoring difference of cubes
      • Proving polynomial identities
        • 🎥 Analyzing polynomial identities
      • Polynomial identities with complex numbers
        • 🎥 Complex numbers & sum of squares factorization
        • 🎥 Factoring sum of squares
      • Quadratic equations with complex numbers
        • 🎥 Solving quadratic equations: complex roots
      • Fundamental theorem of Algebra
        • 🎥 The Fundamental theorem of Algebra
        • 🎥 Quadratics & the Fundamental Theorem of Algebra
        • 🎥 Number of possible real roots of a polynomial
      • Finding zeros of polynomials
        • 🎥 Finding zeros of polynomials (1 of 2)
        • 🎥 Finding zeros of polynomials (2 of 2)
        • 🎥 Finding zeros of polynomials (example 2)
      • Zeros of polynomials and their graphs
        • 🎥 Zeros of polynomials & their graphs
      • End behavior of polynomial functions
        • 🎥 Intro to end behavior of polynomials
        • 🎥 End behavior of functions & their graphs
      • Graphs of polynomials
      • Introduction to symmetry of functions
        • 🎥 Intro to function symmetry
        • 🎥 Graphical symmetry of functions
        • 🎥 Even/odd functions & numbers
      • Symmetry of polynomial functions
        • 🎥 Even & odd polynomials
    • Radical relationships
      • Square-root equations
        • 🎥 Intro to square-root equations & extraneous solutions
        • 🎥 Solving square-root equations (basic)
        • 🎥 Solving square-root equations: one solution
        • 🎥 Solving square-root equations: two solutions
        • 🎥 Solving square-root equations: no solution
      • Extraneous solutions of radical equations
        • 🎥 Extraneous solutions of radical equations
        • 🎥 Extraneous solutions of radical equations (example 2)
      • Cube-root equations
        • 🎥 Solving cube-root equations
      • Domain of radical functions
        • 🎥 Domain of a radical function
      • Graphs of radical functions
        • 🎥 Transforming the square-root function
        • 🎥 Graphs of square-root functions
        • 🎥 Square-root functions & their graphs
    • Rational relationships
      • Simplifying rational expressions
        • 🎥 Intro to rational expression simplification
        • 🎥 Simplifying rational expressions: common monomial factors
        • 🎥 Simplifying rational expressions: common binomial factors
        • 🎥 Simplifying rational expressions: opposite common binomial factors
        • 🎥 Simplifying rational expressions: grouping
        • 🎥 Simplifying rational expressions: higher degree terms
        • 🎥 Simplifying rational expressions: two variables
        • 🎥 Simplifying rational expressions (old video)
      • Multiplying & dividing rational expressions
        • 🎥 Multiplying & dividing rational expressions: monomials
        • 🎥 Multiplying rational expressions
        • 🎥 Dividing rational expressions
        • 🎥 Multiplying rational expressions: multiple variables
        • 🎥 Dividing rational expressions: unknown expression
      • Adding & subtracting rational expressions
        • 🎥 Adding & subtracting rational expressions: like denominators
        • 🎥 Intro to adding rational expressions with unlike denominators
        • 🎥 Adding rational expression: unlike denominators
        • 🎥 Subtracting rational expressions: unlike denominators
        • 🎥 Least common multiple
        • 🎥 Least common multiple: repeating factors
        • 🎥 Subtracting rational expressions: factored denominators
        • 🎥 Least common multiple of polynomials
        • 🎥 Subtracting rational expressions
      • Nested fractions
        • 🎥 Nested fractions
      • Rational equations
        • 🎥 Equations with one rational expression
        • 🎥 Equations with one rational expression (advanced)
        • 🎥 Equations with rational expressions
        • 🎥 Equations with rational expressions (example 2)
        • 🎥 Equation with two rational expressions (old example)
        • 🎥 Equation with two rational expressions (old example 2)
        • 🎥 Equation with two rational expressions (old example 3)
      • Direct and inverse variation
        • 🎥 Intro to direct & inverse variation
        • 🎥 Recognizing direct & inverse variation
        • 🎥 Recognizing direct & inverse variation: table
        • 🎥 Inverse variation word problem: string vibration
      • End behavior of rational functions
        • 🎥 End behavior of rational functions
      • Discontinuities of rational functions
        • 🎥 Discontinuities of rational functions
        • 🎥 Analyzing vertical asymptotes of rational functions
      • Graphs of rational functions
        • 🎥 Graphing rational functions according to asymptotes
        • 🎥 Graphs of rational functions: y-intercept
        • 🎥 Graphs of rational functions: horizontal asymptote
        • 🎥 Graphs of rational functions: vertical asymptotes
        • 🎥 Graphs of rational functions: zeros
        • 🎥 Graphs of rational functions (old example)
        • 🎥 Graphing rational functions 1
        • 🎥 Graphing rational functions 2
        • 🎥 Graphing rational functions 3
        • 🎥 Graphing rational functions 4
      • Modeling with rational functions
        • 🎥 Analyzing structure word problem: pet store (1 of 2)
        • 🎥 Analyzing structure word problem: pet store (2 of 2)
        • 🎥 Rational equations word problem: combined rates
        • 🎥 Rational equations word problem: combined rates (example 2)
        • 🎥 Rational equations word problem: eliminating solutions
        • 🎥 Reasoning about unknown variables
        • 🎥 Reasoning about unknown variables: divisibility
        • 🎥 Structure in rational expression
    • Exponentials & logarithms
      • Introduction to logarithms
        • 🎥 Intro to logarithms
        • 🎥 Evaluating logarithms (advanced)
        • 🎥 Relationship between exponentials & logarithms
        • 🎥 Relationship between exponentials & logarithms: graphs
        • 🎥 Relationship between exponentials & logarithms: tables
      • The constant e and the natural logarithm
        • 🎥 𝑒 and compound interest
        • 🎥 𝑒 as a limit
        • 🎥 Evaluating natural logarithm with calculator
      • Properties of logarithms
        • 🎥 Intro to logarithm properties (1 of 2)
        • 🎥 Intro to logarithm properties (2 of 2)
        • 🎥 Using the logarithmic product rule
        • 🎥 Using the logarithmic power rule
        • 🎥 Using the properties of logarithms: multiple steps
        • 🎥 Proof of the logarithm product rule
        • 🎥 Proof of the logarithm quotient and power rules
      • Change of base formula for logarithms
        • 🎥 Evaluating logarithms: change of base rule
        • 🎥 Using the logarithm change of base rule
        • 🎥 Proof of the logarithm change of base rule
      • Exponential equations: logarithms
        • 🎥 Solving exponential equations using logarithms: base-10
        • 🎥 Solving exponential equations using logarithms: base-2
      • Solving exponential models
        • 🎥 Exponential model word problem: medication dissolve
        • 🎥 Exponential model word problem: bacteria growth
      • Graphs of exponential functions
        • 🎥 Transforming exponential graphs
        • 🎥 Transforming exponential graphs (example 2)
        • 🎥 Graphing exponential functions
        • 🎥 Exponential function graph
        • 🎥 Graphs of exponential functions (old example)
      • Graphs of logarithmic functions
        • 🎥 Graphs of logarithms & exponentials
        • 🎥 Graphing basic logarithmic functions
        • 🎥 Graphs of logarithmic functions
      • Logarithmic scale (optional)
        • 🎥 Logarithmic scale (with Vi Hart)
        • 🎥 Logarithmic scale
        • 🎥 Richter scale
        • 🎥 Benford's law (with Vi Hart, 1 of 2)
        • 🎥 Benford's law (with Vi Hart, 2 of 2)
    • Trigonometry
      • Law of sines
        • 🎥 Solving for a side with the law of sines
        • 🎥 Solving for an angle with the law of sines
        • 🎥 Proof of the law of sines
      • Law of cosines
        • 🎥 Solving for a side with the law of cosines
        • 🎥 Solving for an angle with the law of cosines
        • 🎥 Proof of the law of cosines
      • Solving general triangles
        • 🎥 Trig word problem: stars
      • Introduction to radians
        • 🎥 Intro to radians
        • 🎥 Radians & degrees
        • 🎥 Degrees to radians
        • 🎥 Radians to degrees
        • 🎥 Radian angles & quadrants
      • Unit circle definition of sine, cosine, & tangent
        • 🎥 Unit circle
        • 🎥 The trig functions & right triangle trig ratios
      • Graphs of sine, cosine, & tangent
        • 🎥 Graph of y=sin(x)
        • 🎥 Graph of y=tan(x)
        • 🎥 Intersection points of y=sin(x) and y=cos(x)
      • Basic trigonometric identities
        • 🎥 Sine & cosine identities: symmetry
        • 🎥 Tangent identities: symmetry
        • 🎥 Sine & cosine identities: periodicity
        • 🎥 Tangent identities: periodicity
      • Trigonometric values of special angles
        • 🎥 Trig values of special angles
      • Pythagorean identity
        • 🎥 Proof of the Pythagorean trig identity
        • 🎥 Using the Pythagorean trig identity
      • Introduction to amplitude, midline, & extrema of sinusoidal functions
        • 🎥 Features of sinusoidal functions
      • Finding amplitude & midline from formula
        • 🎥 Amplitude & period of sinusoidal functions from equation
      • Period of sinusoidal functions
        • 🎥 Amplitude & period of sinusoidal functions from equation
      • Graphing sinusoidal functions
        • 🎥 Transforming sinusoidal graphs: vertical stretch & horizontal reflection
        • 🎥 Transforming sinusoidal graphs: vertical & horizontal stretches
      • Constructing sinusoidal functions
        • 🎥 Sinusoidal function from graph
        • 🎥 Trig word problem: modeling daily temperature
        • 🎥 Trig word problem: modeling annual temperature
    • Advanced equations & functions
      • Solving equations by graphing
        • 🎥 Interpreting equations graphically
        • 🎥 Interpreting equations graphically (example 2)
        • 🎥 Solving equations graphically (1 of 2)
        • 🎥 Solving equations graphically (2 of 2)
      • Systems of quadratic equations
        • 🎥 Quadratic systems: graphical solution
        • 🎥 Quadratic systems: algebraic solution
        • 🎥 Quadratic systems: no solution
        • 🎥 Quadratic systems: both variables are squared
        • 🎥 Quadratic systems: a line and a circle
      • Interpreting the symmetry of algebraic models
        • 🎥 Symmetry of algebraic models
      • Interpreting the end behavior of algebraic models
        • 🎥 End behavior of algebraic models
      • Interpreting the periodicity of algebraic models
        • 🎥 Periodicity of algebraic models
      • Comparing features of functions
        • 🎥 Comparing functions: x-intercepts
        • 🎥 Comparing functions: shared features
        • 🎥 Comparing maximum points of quadratic functions
    • Series
      • Basic sigma notation
        • 🎥 Summation notation
      • Finite arithmetic series
        • 🎥 Arithmetic series intro
        • 🎥 Arithmetic series formula
        • 🎥 Worked example: arithmetic series (sigma notation)
        • 🎥 Worked example: arithmetic series (sum expression)
        • 🎥 Worked example: arithmetic series (recursive formula)
        • 🎥 Proof of finite arithmetic series formula
      • Finite geometric series
        • 🎥 Geometric series intro
        • 🎥 Geometric series with sigma notation
        • 🎥 Worked example: finite geometric series (sigma notation)
        • 🎥 Worked examples: finite geometric series
        • 🎥 Finite geometric series formula justification
      • Finite geometric series applications
        • 🎥 Finite geometric series word problem: social media
        • 🎥 Finite geometric series word problem: mortgage
    • Study Design
      • Samples and surveys
        • 🎥 Reasonable samples
      • Observational studies and experiments
        • 🎥 Types of statistical studies
        • 🎥 Correlation and causality
        • 🎥 Appropriate statistical study example
    • Binomial probability
      • Binomial probability
        • 🎥 Binomial probability example
        • 🎥 Generalizing k scores in n attempts
        • 🎥 Free throw binomial probability distribution
        • 🎥 Graphing basketball binomial distribution
    • Normal distributions
      • Normal distributions
        • 🎥 Normal distribution problems: Empirical rule (from ck12.org)
        • 🎥 Qualitative sense of normal distributions (from ck12.org)
  • Arithmetic (all content)
    • Addition and subtraction
      • Basic addition and subtraction
        • 🎥 Basic addition
        • 🎥 Basic subtraction
        • 🎥 Add and subtract: pieces of fruit
        • 🎥 Relating addition and subtraction
      • Making 10
        • 🎥 Getting to 10 by filling boxes
        • 🎥 Adding to 10
      • Addition and subtraction word problems within 10
        • 🎥 Addition word problems within 10
        • 🎥 Subtraction word problems within 10
      • Addition and subtraction within 20
        • 🎥 Adding 8 + 7
        • 🎥 Subtracting different ways
        • 🎥 Subtracting 14 - 6
      • Word problems within 20
        • 🎥 Addition and subtraction word problems: superheroes
        • 🎥 Addition and subtraction word problems: gorillas
      • Word problems with "more" and "fewer"
        • 🎥 Comparison word problems: marbles
        • 🎥 Comparison word problems: roly-polies
      • Intro to addition with 2-digit numbers
        • 🎥 Adding 2-digit numbers without regrouping 1
        • 🎥 Example: Adding 2-digit numbers (no carrying)
        • 🎥 Breaking apart 2-digit addition problems
        • 🎥 Regrouping to add 1-digit number
      • Intro to subtraction with 2-digit numbers
        • 🎥 Subtracting 2-digit numbers without regrouping 1
        • 🎥 Subtracting a 1-digit number with regrouping
      • Strategies for adding and subtracting within 100
        • 🎥 Adding 53+17 by making a group of 10
        • 🎥 Adding by making a group of 10
        • 🎥 Strategies for adding 2-digit numbers
        • 🎥 Addition and subtraction with number lines
      • Addition within 100
        • 🎥 Adding 2-digit numbers without regrouping 2
        • 🎥 Adding with regrouping
      • Subtraction within 100
        • 🎥 Subtracting 2-digit numbers without regrouping 1
        • 🎥 Subtracting with regrouping (borrowing)
      • Word problems within 100
        • 🎥 Adding and subtracting on number line word problems
        • 🎥 Subtraction word problem: tennis balls
        • 🎥 Addition word problem: horses
        • 🎥 Subtraction word problem: snow
        • 🎥 Subtraction word problem: crayons
      • Adding 1s, 10s, and 100s
        • 🎥 Adding 10 or 100
        • 🎥 Adding 1s, 10s, and 100s
        • 🎥 Adding 3-digit numbers (no regrouping)
      • Subtracting 1s, 10s, and 100s
        • 🎥 Subtracting 1, 10, or 100
        • 🎥 Subtracting 1s, 10s, and 100s
        • 🎥 Subtracting 3-digit numbers (no regrouping)
      • Strategies for adding 2- and 3-digit numbers
        • 🎥 Breaking apart 3-digit addition problems
        • 🎥 Solving 3-digit addition in your head
        • 🎥 Addition using groups of 10 and 100
        • 🎥 Adding and subtracting on number line 2
      • Addition with regrouping within 1000
        • 🎥 Adding with regrouping
        • 🎥 Adding 3-digit numbers with regrouping
      • Subtraction with regrouping within 1000
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping twice)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping from 0)
        • 🎥 Subtracting in your head (no regrouping)
      • Addition and subtraction missing value problems
        • 🎥 Missing number for addition and subtraction within 1000
      • Addition and subtraction greater than 1000
        • 🎥 Multi-digit addition with regrouping
        • 🎥 Multi-digit subtraction with regrouping: 6798-3359
        • 🎥 Multi-digit subtraction with regrouping: 7329-6278
        • 🎥 Multi-digit subtraction with regrouping twice
        • 🎥 Alternate mental subtraction method
    • Multiplication and division
      • Multiplication intro
        • 🎥 Intro to multiplication
        • 🎥 Basic multiplication
        • 🎥 Multiplication as groups of objects
        • 🎥 More ways to multiply
        • 🎥 Ways to represent multiplication
      • Multiplication facts
        • 🎥 Multiplication tables for 2-9
        • 🎥 Multiplication tables for 10, 11, 12
      • Properties of multiplication
        • 🎥 Properties of multiplication
        • 🎥 Properties and patterns for multiplication
      • Multiplying by tens
        • 🎥 Multiplying by multiples of 10
        • 🎥 Multiplying by tens word problem
      • Multiplication by 10s, 100s, and 1000s
        • 🎥 Multiplying 10s
        • 🎥 Multiplying 1-digit numbers by multiples of 10, 100, and 1000
        • 🎥 Multiplying 1-digit numbers by 10, 100, and 1000
      • Multiplication: place value and area models
        • 🎥 More ways to multiply
        • 🎥 Multiplying with distributive property
        • 🎥 Multiplying with area model: 6 x 7981
        • 🎥 Multiplying with area model: 78 x 65
        • 🎥 Lattice multiplication
        • 🎥 Why lattice multiplication works
      • Multi-digit multiplication
        • 🎥 Multiplying 2-digit by 1-digit
        • 🎥 Multiplying 3-digit by 1-digit
        • 🎥 Multiplying 3-digit by 1-digit (regrouping)
        • 🎥 Multiplying 4-digit by 1-digit (regrouping)
        • 🎥 Multiplying 2-digit numbers
        • 🎥 Multiplying 2-digit by 2-digit: 36x23
        • 🎥 Multiplying 2-digit by 2-digit: 23x44
        • 🎥 Multiplying multi-digit numbers
      • Relating multiplication and division
        • 🎥 Relating division to multiplication
        • 🎥 Multiplication word problem: parking lot
        • 🎥 Division word problem: school building
      • Division intro
        • 🎥 The idea of division
        • 🎥 Intro to division
        • 🎥 Ways to represent division
      • Division facts
      • Division problems that work out nicely
        • 🎥 Quotients that are multiples of 10
        • 🎥 Canceling zeros when dividing
      • Division: place value and area
        • 🎥 Division using place value
        • 🎥 Division with area models
      • Multi-digit division (no remainders)
        • 🎥 Intro to long division (no remainders)
        • 🎥 Long division: 280÷5
      • Remainders
        • 🎥 Intro to remainders
        • 🎥 Worked example: Long division with remainders: 3771÷8
        • 🎥 Worked example: Long division with remainders: 2292÷4
      • Multi-digit division (remainders)
        • 🎥 Intro to long division (remainders)
        • 🎥 Dividing by 2-digits: 6250÷25
        • 🎥 Dividing by 2-digits: 9815÷65
        • 🎥 Dividing by 2-digits: 7182÷42
      • Multiplication and division word problems
        • 🎥 Multiplication word problem: carrots
        • 🎥 Division word problem: row boat
        • 🎥 Multiplication word problem: pizza
        • 🎥 Division word problem: field goals
        • 🎥 Multiplication, division word problem: pedaling
    • Negative numbers
      • Intro to negative numbers
        • 🎥 Intro to negative numbers
      • Number opposites
        • 🎥 Number opposites
        • 🎥 Negative symbol as opposite
        • 🎥 Number opposites challenge problems
      • Absolute value
        • 🎥 Absolute value examples
        • 🎥 Identify and order absolute values
        • 🎥 Comparing absolute values
        • 🎥 Placing absolute values on the number line
        • 🎥 Absolute value as distance between numbers
        • 🎥 Absolute value word problems
      • Intro to adding negative numbers
        • 🎥 Adding negative numbers example
        • 🎥 Adding numbers with different signs
      • Intro to subtracting negative numbers
        • 🎥 Adding & subtracting negative numbers
        • 🎥 Subtracting a negative = adding a positive
      • Adding & subtracting negative numbers
        • 🎥 Adding numbers with different signs
        • 🎥 Addition & subtraction: find the missing value (part 1 of 2)
        • 🎥 Addition & subtraction: find the missing value (part 2 of 2)
      • Adding & subtracting with negatives on the number line
        • 🎥 Adding negative numbers on the number line
        • 🎥 Number equations & number lines
        • 🎥 Interpreting numeric expressions example
      • Multiplying & dividing negative numbers
        • 🎥 Multiplying positive & negative numbers
        • 🎥 Multiplying numbers with different signs
        • 🎥 Why a negative times a negative makes sense
        • 🎥 Dividing positive and negative numbers
        • 🎥 Multiplying and dividing negative numbers
        • 🎥 Why a negative times a negative is a positive
    • Fractions
      • Fractions intro
        • 🎥 Intro to fractions
        • 🎥 More about fractions
        • 🎥 Cutting shapes into equal parts
        • 🎥 Identifying unit fractions word problem
      • What fractions mean
        • 🎥 More than one equal section
        • 🎥 Recognizing fractions greater than 1
        • 🎥 Identifying numerators and denominators
      • Fractions on the number line
        • 🎥 Fractions on a number line
        • 🎥 Fractions on number line widget
      • Fractions and whole numbers
        • 🎥 Representing 1 as a fraction
        • 🎥 Whole numbers as fractions
      • Comparing fractions
        • 🎥 Comparing fractions with > and < symbols
        • 🎥 Comparing fractions with like numerators and denominators
        • 🎥 Comparing fractions
        • 🎥 Comparing fractions 2 (unlike denominators)
        • 🎥 Comparing and ordering fractions
        • 🎥 Ordering fractions
      • Equivalent fractions 1
        • 🎥 Equivalent fractions with visuals
        • 🎥 Equivalent fraction models
      • Equivalent fractions on the number line
        • 🎥 Equivalent fraction visually
        • 🎥 Creating equivalent fractions
      • Equivalent fractions 2
        • 🎥 Intro to equivalent fractions
        • 🎥 Visualizing equivalent fractions
        • 🎥 More on equivalent fractions
        • 🎥 Equivalent fractions
        • 🎥 Equivalent fractions and different wholes
      • Common denominators
        • 🎥 Finding common denominators
        • 🎥 Common denominators: 3/5 and 7/2
        • 🎥 Common denominators: 1/4 and 5/6
      • Decomposing fractions
        • 🎥 Decomposing a fraction visually
        • 🎥 Decomposing a mixed number
      • Adding and subtracting fractions with like denominators
        • 🎥 Adding fractions with like denominators
        • 🎥 Subtracting fractions with like denominators
      • Mixed numbers
        • 🎥 Rewriting mixed numbers as improper fractions
        • 🎥 Rewriting improper fractions as mixed numbers
        • 🎥 Comparing improper fractions and mixed numbers
        • 🎥 Mixed number or improper fraction on a number line
      • Adding and subtracting mixed numbers
        • 🎥 Intro to adding mixed numbers
        • 🎥 Intro to subtracting mixed numbers
      • Visually adding and subtracting fractions with unlike denominators
        • 🎥 Visually adding fractions: 5/6+1/4
        • 🎥 Visually subtracting fractions: 3/4-5/8
      • Adding and subtracting fractions with unlike denominators
        • 🎥 Adding fractions with unlike denominators
        • 🎥 Subtracting fractions with unlike denominators
        • 🎥 Adding and subtracting 3 fractions
        • 🎥 Solving for the missing fraction
      • Adding and subtracting mixed number with unlike denominators
        • 🎥 Adding mixed numbers: 19 3/18 + 18 2/3
        • 🎥 Subtracting mixed numbers: 7 6/9 - 3 2/5
        • 🎥 Adding mixed numbers with regrouping
        • 🎥 Subtracting mixed numbers with regrouping (unlike denominators)
      • Adding and subtracting fractions with unlike denominators word problems
        • 🎥 Adding fractions word problem: paint
        • 🎥 Subtracting fractions word problem: tomatoes
      • Multiplying unit fractions and whole numbers
        • 🎥 Multiplying unit fractions and whole numbers
      • Multiplying whole numbers and fractions
        • 🎥 Multiplying fractions and whole numbers visually
        • 🎥 Equivalent fraction and whole number multiplication problems
      • Multiplication as scaling
        • 🎥 Multiplication as scaling with fractions
      • Multiplying fractions
        • 🎥 Intro to multiplying 2 fractions
        • 🎥 Multiplying 2 fractions: fraction model
        • 🎥 Multiplying 2 fractions: number line
        • 🎥 Multiplying 2 fractions: 5/6 x 2/3
        • 🎥 Finding area with fractional sides 1
        • 🎥 Finding area with fractional sides 2
      • Multiplying mixed numbers
        • 🎥 Multiplying mixed numbers
      • Multiplying fractions word problems
        • 🎥 Multiplying fractions word problem: muffins
        • 🎥 Multiplying fractions word problem: laundry
        • 🎥 Multiplying fractions word problem: bike
        • 🎥 Multiplying fractions word problem: pumpkin pie
      • Fractions as division
        • 🎥 Understanding fractions as division
        • 🎥 Creating a fraction through division
        • 🎥 Creating mixed numbers with fraction division
      • Dividing unit fractions by whole numbers
      • Dividing whole numbers by unit fractions
      • Dividing fractions by fractions
        • 🎥 Understanding division of fractions
        • 🎥 Dividing fractions: 2/5 ÷ 7/3
        • 🎥 Dividing fractions: 3/5 ÷ 1/2
      • Dividing fractions word problems
        • 🎥 Dividing whole numbers & fractions: t-shirts
    • Decimals
      • Intro to decimals
        • 🎥 Intro to decimals
        • 🎥 Decimals as words
        • 🎥 Writing decimal numbers shown in grids
      • Decimal place value intro
        • 🎥 Decimal place value
      • Decimals on the number line
        • 🎥 Comparing decimal numbers on a number line
        • 🎥 Plotting decimal numbers on a number line
      • Rewriting decimals as fractions
        • 🎥 Writing a number as a fraction and decimal
        • 🎥 Rewriting decimals as fractions: 0.15
        • 🎥 Rewriting decimals as fractions: 0.8
        • 🎥 Rewriting decimals as fractions: 0.36
        • 🎥 Rewriting tricky fractions to decimals
      • Adding decimals
      • Adding decimals: standard algorithm
        • 🎥 Adding decimals: 9.087+15.31
        • 🎥 Adding decimals: 0.822+5.65
        • 🎥 Adding three decimals
      • Subtracting decimals
        • 🎥 Subtracting decimals: 9.57-8.09
        • 🎥 Subtracting decimals: 10.1-3.93
      • Subtracting decimals: standard algorithm
        • 🎥 Subtracting decimals: 9.005 - 3.6
        • 🎥 Subtracting decimals: 39.1 - 0.794
      • Adding and subtracting decimals word problems
        • 🎥 Adding decimals word problem
        • 🎥 Adding & subtracting decimals word problem
      • Multiplying decimals
        • 🎥 Intro to multiplying decimals
        • 🎥 Multiplying decimals: place value
      • Multiplying decimals: standard algorithm
        • 🎥 Multiplying challenging decimals
      • Dividing decimals
        • 🎥 Dividing whole numbers to get a decimal
      • Dividing decimals: standard algorithm
        • 🎥 Dividing decimals with hundredths
        • 🎥 Dividing decimals completely
        • 🎥 Long division with decimals
        • 🎥 Dividing by a multi-digit decimal
      • Significant figures
        • 🎥 Intro to significant figures
        • 🎥 Rules of significant figures
        • 🎥 Addition and subtraction with significant figures
        • 🎥 Multiplying and dividing with significant figures
  • Algebra (all content)
    • Introduction to algebra
      • Overview and history of algebra
        • 🎥 Origins of algebra
        • 🎥 Abstract-ness
        • 🎥 The beauty of algebra
        • 🎥 Intro to the coordinate plane
        • 🎥 Why all the letters in algebra?
      • Introduction to variables
        • 🎥 What is a variable?
        • 🎥 Why aren't we using the multiplication sign?
        • 🎥 Evaluating an expression with one variable
      • Substitution and evaluating expressions
        • 🎥 Evaluating expressions with two variables
        • 🎥 Evaluating expressions with two variables: fractions & decimals
      • Evaluating expressions word problems
        • 🎥 Evaluating expressions with variables: temperature
        • 🎥 Evaluating expressions with variables: cubes
        • 🎥 Evaluating expressions with variables: exponents
      • Writing algebraic expressions introduction
        • 🎥 Writing basic expressions with variables
        • 🎥 Writing expressions with variables
        • 🎥 Writing expressions with variables & parentheses
      • Introduction to equivalent algebraic expressions
        • 🎥 Equivalent expressions
      • Dependent & independent variables
        • 🎥 Dependent & independent variables
        • 🎥 Dependent & independent variables: graphing
        • 🎥 Dependent & independent variables: equation
      • Combining like terms
        • 🎥 Intro to combining like terms
        • 🎥 Simplifying expressions
        • 🎥 Combining like terms challenge problem
        • 🎥 Simplifying expressions with rational numbers
      • Interpreting linear expressions
        • 🎥 Interpreting linear expressions: diamonds
        • 🎥 Interpreting linear expressions: flowers
      • Irrational numbers
        • 🎥 Intro to rational & irrational numbers
        • 🎥 Classifying numbers: rational & irrational
        • 🎥 Square roots and real numbers (old)
      • Sums and products of rational and irrational numbers
        • 🎥 Proof: sum & product of two rationals is rational
        • 🎥 Proof: product of rational & irrational is irrational
        • 🎥 Proof: sum of rational & irrational is irrational
        • 🎥 Sums and products of irrational numbers
        • 🎥 Worked example: rational vs. irrational expressions
        • 🎥 Worked example: rational vs. irrational expressions (unknowns)
      • Proofs concerning irrational numbers
        • 🎥 Proof: √2 is irrational
        • 🎥 Proof: square roots of prime numbers are irrational
        • 🎥 Proof: there's an irrational number between any two rational numbers
      • Division by zero
        • 🎥 Why dividing by zero is undefined
        • 🎥 The problem with dividing zero by zero
        • 🎥 Undefined & indeterminate expressions
      • Binary and hexadecimal number systems
        • 🎥 Introduction to number systems and binary
        • 🎥 Hexadecimal number system
        • 🎥 Converting from decimal to binary
        • 🎥 Converting larger number from decimal to binary
        • 🎥 Converting from decimal to hexadecimal representation
        • 🎥 Adding in binary
        • 🎥 Multiplying in binary
        • 🎥 Converting directly from binary to hexadecimal
        • 🎥 How to count to 1000 on two hands
    • Solving basic equations & inequalities (one variable, linear)
      • Algebraic equations basics
        • 🎥 Variables, expressions, & equations
        • 🎥 Testing solutions to equations
      • Why we do the same thing to both sides of an equation
        • 🎥 Same thing to both sides of equations
        • 🎥 Representing a relationship with an equation
        • 🎥 Dividing both sides of an equation
        • 🎥 One-step equations intuition
      • One-step addition & subtraction equations
        • 🎥 One-step addition & subtraction equations
        • 🎥 One-step subtraction equations
        • 🎥 One-step addition & subtraction equations: fractions & decimals
      • One-step multiplication & division equations
        • 🎥 One-step division equations
        • 🎥 One-step multiplication equations
        • 🎥 One-step multiplication & division equations: fractions & decimals
      • Two-steps equations intro
        • 🎥 Intro to two-step equations
        • 🎥 Two-step equations intuition
        • 🎥 Worked example: two-step equations
        • 🎥 Describing steps when solving equations
      • Two-step equation word problems
        • 🎥 Two-step equation word problem: computers
        • 🎥 Two-step equation word problem: garden
        • 🎥 Two-step equation word problem: oranges
      • Linear equations with variables on both sides
        • 🎥 Why we do the same thing to both sides: Variable on both sides
        • 🎥 Intro to equations with variables on both sides
        • 🎥 Equations with variables on both sides: 20-7x=6x-6
        • 🎥 Equation with variables on both sides: fractions
        • 🎥 Equation with the variable in the denominator
        • 🎥 Figuring out missing algebraic step
      • Linear equations with parentheses
        • 🎥 Equations with parentheses
      • Analyzing the number of solutions to linear equations
        • 🎥 Number of solutions to equations
        • 🎥 Worked example: number of solutions to equations
        • 🎥 Creating an equation with no solutions
        • 🎥 Creating an equation with infinitely many solutions
      • Linear equations word problems
        • 🎥 Sums of consecutive integers
        • 🎥 Sum of integers challenge
        • 🎥 Linear equation word problem: saline
        • 🎥 Linear equation word problem: sugary drinks
      • Linear equations with unknown coefficients
        • 🎥 Linear equations with unknown coefficients
      • Old school equations with Sal
        • 🎥 Linear equations 1
        • 🎥 Linear equations 2
        • 🎥 Linear equations 3
        • 🎥 Linear equations 4
        • 🎥 Averages
        • 🎥 Taking percentages
        • 🎥 Growing by a percentage
        • 🎥 More percent problems
        • 🎥 Solving an equation for a variable
      • Introduction to inequalities with variables
        • 🎥 Testing solutions to inequalities
        • 🎥 Plotting inequalities
        • 🎥 Plotting an inequality example
        • 🎥 Inequalities word problems
      • One-step inequalities
        • 🎥 One-step inequalities examples
        • 🎥 One-step inequalities: -5c ≤ 15
        • 🎥 One-step inequality involving addition
        • 🎥 One-step inequality word problem
        • 🎥 Inequalities using addition and subtraction
        • 🎥 Solving and graphing linear inequalities
      • Two-step inequalities
        • 🎥 Two-step inequalities
        • 🎥 Two-step inequality word problem: apples
        • 🎥 Two-step inequality word problem: R&B
      • Multi-step inequalities
        • 🎥 Inequalities with variables on both sides
        • 🎥 Inequalities with variables on both sides (with parentheses)
        • 🎥 Multi-step inequalities
      • Compound inequalities
        • 🎥 Compound inequalities: OR
        • 🎥 Compound inequalities: AND
        • 🎥 A compound inequality with no solution
        • 🎥 Double inequalities
        • 🎥 Compound inequalities examples
    • Linear equations, functions, & graphs
      • Two-variable linear equations intro
        • 🎥 Two-variable linear equations intro
        • 🎥 Solutions to 2-variable equations
        • 🎥 Worked example: solutions to 2-variable equations
        • 🎥 Completing solutions to 2-variable equations
        • 🎥 Solutions to 2-variable equations: substitution (old)
        • 🎥 Solutions to 2-variable equations: graphical (old)
      • x-intercepts and y-intercepts
        • 🎥 Intro to intercepts
        • 🎥 x-intercept of a line
        • 🎥 Intercepts from an equation
        • 🎥 Intercepts from a table
        • 🎥 Graphing using intercepts (old)
      • Slope
        • 🎥 Intro to slope
        • 🎥 Positive & negative slope
        • 🎥 Worked example: slope from graph
        • 🎥 Worked example: slope from two points
        • 🎥 Slope (more examples)
      • Horizontal & vertical lines
        • 🎥 Slope of a horizontal line
        • 🎥 Horizontal & vertical lines
      • Intro to slope-intercept form
        • 🎥 Intro to slope-intercept form
        • 🎥 Worked examples: slope-intercept intro
      • Graphing slope-intercept equations
        • 🎥 Graph from slope-intercept equation
      • Writing slope-intercept equations
        • 🎥 Slope-intercept equation from graph
        • 🎥 Slope-intercept equation from slope & point
        • 🎥 Slope-intercept equation from two points
        • 🎥 Slope-intercept form problems
        • 🎥 Slope-intercept equation from slope & point (old)
        • 🎥 Slope-intercept equation from slope & point: fractions (old)
        • 🎥 Finding y intercept given slope & point (old)
      • Point-slope form
        • 🎥 Intro to point-slope form
        • 🎥 Point-slope & slope-intercept equations
      • Standard form
        • 🎥 Intro to linear equation standard form
        • 🎥 Graphing a linear equation: 5x+2y=20
        • 🎥 Converting from slope-intercept to standard form
      • Summary: Forms of two-variable linear equations
        • 🎥 Slope from equation
        • 🎥 Writing linear equations in all forms
      • Interpreting linear functions and equations
        • 🎥 Linear equations word problems: earnings
        • 🎥 Linear equations word problems: volcano
        • 🎥 Linear graphs word problems
        • 🎥 Linear graphs word problem: cats
        • 🎥 Linear equations word problem: marbles
        • 🎥 Linear equations word problem: file transfer
      • Comparing linear functions
        • 🎥 Comparing linear functions: equation vs. graph
        • 🎥 Comparing linear functions: table vs. graph
        • 🎥 Comparing linear functions: table vs. graph
        • 🎥 Comparing linear functions word problem: climb
        • 🎥 Comparing linear functions word problem: walk
        • 🎥 Comparing linear functions word problem: work
      • Constructing linear models for real-world relationships
        • 🎥 Linear functions word problem: fuel
        • 🎥 Linear functions word problem: pool
        • 🎥 Linear functions word problem: iceberg
        • 🎥 Linear functions word problem: paint
      • Linear models word problems
        • 🎥 Linear models word problem: book
        • 🎥 Linear models word problem: marbles
    • Sequences
      • Introduction to arithmetic sequences
        • 🎥 Sequences intro
        • 🎥 Intro to arithmetic sequences
        • 🎥 Extending arithmetic sequences
        • 🎥 Using arithmetic sequences formulas
        • 🎥 Worked example: using recursive formula for arithmetic sequence
      • Constructing arithmetic sequences
        • 🎥 Recursive formulas for arithmetic sequences
        • 🎥 Explicit formulas for arithmetic sequences
        • 🎥 Arithmetic sequence problem
        • 🎥 Converting recursive & explicit forms of arithmetic sequences
      • Introduction to geometric sequences
        • 🎥 Intro to geometric sequences
        • 🎥 Extending geometric sequences
        • 🎥 Using explicit formulas of geometric sequences
        • 🎥 Using recursive formulas of geometric sequences
      • Constructing geometric sequences
        • 🎥 Explicit & recursive formulas for geometric sequences
        • 🎥 Converting recursive & explicit forms of geometric sequences
      • Modeling with sequences
        • 🎥 Sequences word problems
      • General sequences
        • 🎥 Evaluating sequences in recursive form
    • System of equations
      • Systems of equations overview
        • 🎥 Systems of equations: trolls, tolls (1 of 2)
        • 🎥 Systems of equations: trolls, tolls (2 of 2)
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with substitution: potato chips
        • 🎥 Systems of equations number of solutions: fruit prices (1 of 2)
        • 🎥 Systems of equations number of solutions: fruit prices (2 of 2)
      • Introduction to systems of equations
        • 🎥 Systems of equations: trolls, tolls (1 of 2)
        • 🎥 Testing a solution to a system of equations
        • 🎥 Systems of equations: trolls, tolls (2 of 2)
        • 🎥 Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
        • 🎥 Systems of equations with graphing: exact & approximate solutions
      • Equivalent systems of equations and the elimination method
        • 🎥 Systems of equations with elimination: King's cupcakes
        • 🎥 Systems of equations with elimination: x-4y=-18 & -x+3y=11
        • 🎥 Systems of equations with elimination: potato chips
        • 🎥 Systems of equations with elimination (and manipulation)
        • 🎥 Why can we subtract one equation from the other in a system of equations?
        • 🎥 Worked example: equivalent systems of equations
        • 🎥 Worked example: non-equivalent systems of equations
        • 🎥 Solving systems of equations by elimination (old)
      • Solving systems of equations with substitution
        • 🎥 Systems of equations with substitution: potato chips
        • 🎥 Systems of equations with substitution: -3x-4y=-2 & y=2x-5
        • 🎥 Solving linear systems by substitution (old)
      • Manipulating expressions with unknown variables
        • 🎥 Manipulating expressions using structure
        • 🎥 Manipulating expressions using structure (example 2)
      • Number of solutions to systems of equations
        • 🎥 Systems of equations number of solutions: fruit prices (1 of 2)
        • 🎥 Systems of equations number of solutions: fruit prices (2 of 2)
        • 🎥 Solutions to systems of equations: consistent vs. inconsistent
        • 🎥 Solutions to systems of equations: dependent vs. independent
        • 🎥 Number of solutions to a system of equations
        • 🎥 Number of solutions to a system of equations graphically
        • 🎥 Number of solutions to a system of equations algebraically
        • 🎥 How many solutions does a system of linear equations have if there are at least two?
      • Solving any system of linear equations
      • Systems of equations word problems
        • 🎥 Age word problem: Imran
        • 🎥 Age word problem: Ben & William
        • 🎥 Age word problem: Arman & Diya
        • 🎥 System of equations word problem: walk & ride
        • 🎥 System of equations word problem: no solution
        • 🎥 System of equations word problem: infinite solutions
        • 🎥 Systems of equations with elimination: TV & DVD
        • 🎥 Systems of equations with elimination: apples and oranges
        • 🎥 Systems of equations with substitution: coins
        • 🎥 Systems of equations with elimination: coffee and croissants
      • Solving equations by graphing (Algebra 2 level)
        • 🎥 Interpreting equations graphically
        • 🎥 Interpreting equations graphically (example 2)
        • 🎥 Solving equations graphically (1 of 2)
        • 🎥 Solving equations graphically (2 of 2)
      • Systems with three variables
        • 🎥 Intro to linear systems with 3 variables
        • 🎥 Solving linear systems with 3 variables
        • 🎥 Solving linear systems with 3 variables: no solution
        • 🎥 3-variable linear system word problem
    • Two-variable inequalities
      • Checking solutions of two-variable inequalities
        • 🎥 Testing solutions to inequalities
        • 🎥 Testing solutions to systems of inequalities
      • Constraining solutions of two-variable inequalities
        • 🎥 Constraining solutions of two-variable inequalities
        • 🎥 Constraining solutions of systems of inequalities
      • Graphing two-variable inequalities
        • 🎥 Intro to graphing two-variable inequalities
        • 🎥 Graphing two-variable inequalities
        • 🎥 Two-variable inequalities from their graphs
        • 🎥 Intro to graphing systems of inequalities
        • 🎥 Graphing systems of inequalities
        • 🎥 Graphing two-variable inequalities (old)
      • Modeling with linear inequalities
        • 🎥 Writing two-variable inequalities word problem
        • 🎥 Interpreting two-variable inequalities word problem
        • 🎥 Solving two-variable inequalities word problem
        • 🎥 Graphs of two-variable inequalities word problem
        • 🎥 Modeling with systems of inequalities
        • 🎥 Writing systems of inequalities word problem
        • 🎥 Solving systems of inequalities word problem
        • 🎥 Graphs of systems of inequalities word problem
        • 🎥 Analyzing structure with linear inequalities: fruits
        • 🎥 Analyzing structure with linear inequalities: balls
    • Functions
      • Evaluating functions
        • 🎥 What is a function?
        • 🎥 Worked example: Evaluating functions from equation
        • 🎥 Worked example: evaluating functions from graph
        • 🎥 Worked example: evaluating expressions with function notation
      • Inputs and outputs of a function
        • 🎥 Worked example: matching an input to a function's output (equation)
        • 🎥 Worked example: matching an input to a function's output (graph)
        • 🎥 Worked example: two inputs with the same output (graph)
      • Functions and equations
        • 🎥 Equations vs. functions
        • 🎥 Obtaining a function from an equation
      • Interpreting function notation
        • 🎥 Function notation word problem: bank
        • 🎥 Function notation word problem: beach
      • Introduction to the domain and range of a function
        • 🎥 Intervals and interval notation
        • 🎥 What is the domain of a function?
        • 🎥 What is the range of a function?
        • 🎥 Worked example: domain and range from graph
      • Determining the domain of a function
        • 🎥 Domain of a radical function
        • 🎥 Worked example: domain of algebraic functions
        • 🎥 Worked example: determining domain word problem (real numbers)
        • 🎥 Worked example: determining domain word problem (positive integers)
        • 🎥 Worked example: determining domain word problem (all integers)
      • Recognizing functions
        • 🎥 Recognizing functions from graph
        • 🎥 Does a vertical line represent a function?
        • 🎥 Recognizing functions from table
        • 🎥 Recognizing functions from verbal description
        • 🎥 Recognizing functions from verbal description word problem
      • Piecewise functions
        • 🎥 Introduction to piecewise functions
        • 🎥 Worked example: evaluating piecewise functions
        • 🎥 Worked example: graphing piecewise functions
        • 🎥 Worked example: domain & range of step function
        • 🎥 Worked example: domain & range of piecewise linear functions
      • Maximum and minimum points
        • 🎥 Introduction to minimum and maximum points
        • 🎥 Worked example: relative maxima and minima
      • Intervals where a function is positive, negative, increasing, or decreasing
        • 🎥 Increasing, decreasing, positive or negative intervals
        • 🎥 Worked example: positive & negative intervals
      • Interpreting features of graphs
        • 🎥 Graph interpretation word problem: temperature
        • 🎥 Graph interpretation word problem: basketball
      • Average rate of change
        • 🎥 Introduction to average rate of change
        • 🎥 Worked example: average rate of change from graph
        • 🎥 Worked example: average rate of change from table
        • 🎥 Worked example: average rate of change from equation
      • Average rate of change word problems
        • 🎥 Average rate of change word problem: table
        • 🎥 Average rate of change word problem: graph
        • 🎥 Average rate of change word problem: equation
      • Combining functions
        • 🎥 Adding functions
        • 🎥 Subtracting functions
        • 🎥 Multiplying functions
        • 🎥 Dividing functions
      • Composing functions (Algebra 2 level)
        • 🎥 Intro to composing functions
        • 🎥 Evaluating composite functions
        • 🎥 Evaluating composite functions: using tables
        • 🎥 Evaluating composite functions: using graphs
        • 🎥 Finding composite functions
        • 🎥 Evaluating composite functions (advanced)
      • Shifting functions
        • 🎥 Shifting functions
        • 🎥 Graphing shifted functions
      • Stretching functions
        • 🎥 Shifting & reflecting functions
        • 🎥 Compressing functions
        • 🎥 Reflecting & compressing functions
      • Modeling situations by combining and composing functions (Algebra 2 level)
        • 🎥 Modeling with function combination
        • 🎥 Modeling with composite functions
        • 🎥 Modeling with composite functions (example 2)
      • Introduction to inverses of functions (Algebra 2 level)
        • 🎥 Intro to inverse functions
        • 🎥 Inputs & outputs of inverse functions
        • 🎥 Graphing the inverse of a linear function
      • Finding inverse functions (Algebra 2 level)
        • 🎥 Finding inverse functions: linear
        • 🎥 Finding inverse functions: quadratic
        • 🎥 Finding inverse functions: quadratic (example 2)
        • 🎥 Finding inverse functions: radical
        • 🎥 Finding inverse functions: rational
      • Verifying that functions are inverses (Algebra 2 level)
        • 🎥 Verifying inverse functions by composition
        • 🎥 Verifying inverse functions by composition: not inverse
      • Determining whether a function is invertible (Algebra 2 level)
        • 🎥 Determining if a function is invertible
        • 🎥 Restricting domains of functions to make them invertible
      • Determining the domain of advanced functions (Algebra 2 level)
        • 🎥 Domain of advanced functions
      • Determining the range of a function (Algebra 2 level)
        • 🎥 Domain and range of quadratic functions
      • Graphing nonlinear piecewise functions (Algebra 2 level)
        • 🎥 Graphs of nonlinear piecewise functions
      • Interpreting the symmetry of algebraic models (Algebra 2 level)
        • 🎥 Symmetry of algebraic models
      • Interpreting the end behavior of algebraic models (Algebra 2 level)
        • 🎥 End behavior of algebraic models
      • Interpreting the periodicity of algebraic models (Algebra 2 level)
        • 🎥 Periodicity of algebraic models
      • Comparing features of functions (Algebra 2 level)
        • 🎥 Comparing functions: x-intercepts
        • 🎥 Comparing functions: shared features
        • 🎥 Comparing maximum points of quadratic functions
      • Two-variable functions
        • 🎥 New operator definitions 1
        • 🎥 New operator definitions 2
    • Absolute value equations, functions, & inequalities
      • Graphs of absolute value functions
        • 🎥 Shifting absolute value graphs
        • 🎥 Scaling & reflecting absolute value functions: equation
        • 🎥 Scaling & reflecting absolute value functions: graph
        • 🎥 Graphing absolute value functions
      • Solving absolute value equations
        • 🎥 Intro to absolute value equations and graphs
        • 🎥 Worked example: absolute value equation with two solutions
        • 🎥 Worked example: absolute value equations with one solution
        • 🎥 Worked example: absolute value equations with no solution
      • Solving absolute value inequalities
        • 🎥 Intro to absolute value inequalities
        • 🎥 Solving absolute value inequalities 1
        • 🎥 Solving absolute value inequalities 2
        • 🎥 Solving absolute value inequalities: fractions
        • 🎥 Solving absolute value inequalities: no solution
        • 🎥 Absolute value inequalities word problem
    • Quadratic equations & functions
      • Parabolas intro
        • 🎥 Parabolas intro
      • Quadratic factored form
        • 🎥 Zero product property
        • 🎥 Graphing quadratics in factored form
        • 🎥 Quadratic word problems (factored form)
      • Solving quadratics by taking square roots
        • 🎥 Solving quadratics by taking square roots
        • 🎥 Solving quadratics by taking square roots examples
        • 🎥 Solving quadratics by taking square roots: strategy
        • 🎥 Quadratics by taking square roots: with steps
        • 🎥 Solving quadratics by taking square roots: challenge
      • Quadratic vertex form
        • 🎥 Vertex form introduction
        • 🎥 Graphing quadratics: vertex form
        • 🎥 Quadratic word problems (vertex form)
      • Solving quadratics by factoring
        • 🎥 Solving quadratics by factoring
        • 🎥 Solving quadratics by factoring: leading coefficient ≠ 1
        • 🎥 Solving quadratics using structure
        • 🎥 Quadratic equations word problem: triangle dimensions
        • 🎥 Quadratic equations word problem: box dimensions
        • 🎥 Solving quadratic equations by factoring (old)
      • Completing the square
        • 🎥 Completing the square
        • 🎥 Worked example: Completing the square (intro)
        • 🎥 Worked example: Rewriting expressions by completing the square
        • 🎥 Worked example: Solving equations by completing the square
        • 🎥 Worked example: completing the square (leading coefficient ≠ 1)
        • 🎥 Solving quadratics by completing the square: no solution
      • The quadratic formula
        • 🎥 The quadratic formula
        • 🎥 Using the quadratic formula
        • 🎥 Worked example: quadratic formula
        • 🎥 Worked example: quadratic formula (example 2)
        • 🎥 Worked example: quadratic formula (negative coefficients)
        • 🎥 Using the quadratic formula: number of solutions
        • 🎥 Proof of the quadratic formula
      • Quadratic standard form
        • 🎥 Finding the vertex of a parabola in standard form
        • 🎥 Graphing quadratics: standard form
        • 🎥 Quadratic word problem: ball
      • Features & forms of quadratic functions
        • 🎥 Forms & features of quadratic functions
        • 🎥 Worked examples: Forms & features of quadratic functions
        • 🎥 Vertex & axis of symmetry of a parabola
        • 🎥 Finding features of quadratic functions
        • 🎥 Comparing features of quadratic functions
        • 🎥 Comparing maximum points of quadratic functions
      • Transforming parabolas
        • 🎥 Intro to parabola transformations
        • 🎥 Shifting parabolas
        • 🎥 Scaling & reflecting parabolas
      • Systems of quadratic equations
        • 🎥 Quadratic systems: graphical solution
        • 🎥 Quadratic systems: algebraic solution
        • 🎥 Quadratic systems: no solution
        • 🎥 Quadratic systems: both variables are squared
        • 🎥 Quadratic systems: a line and a circle
      • Quadratic inequalities
        • 🎥 Quadratic inequalities
        • 🎥 Quadratic inequalities (example 2)
        • 🎥 Quadratic inequalities: graphical approach
    • Polynomial expressions, equations, & functions
      • Intro to polynomials
        • 🎥 Polynomials intro
        • 🎥 The parts of polynomial expressions
        • 🎥 Evaluating polynomials
        • 🎥 Simplifying polynomials
      • Adding & subtracting polynomials
        • 🎥 Adding polynomials
        • 🎥 Subtracting polynomials
        • 🎥 Polynomial subtraction & set closure
        • 🎥 Adding & subtracting multiple polynomials
        • 🎥 Adding polynomials (old)
      • Adding & subtracting polynomials: two variables
        • 🎥 Adding polynomials: two variables
        • 🎥 Subtracting polynomials: two variables
        • 🎥 Subtracting polynomials: two variables challenge
        • 🎥 Finding an error in polynomial subtraction
        • 🎥 Polynomials review
      • Multiplying monomials
        • 🎥 Multiplying monomials
        • 🎥 Multiplying monomials to find area: two variables
        • 🎥 Multiplying monomials to find area
        • 🎥 Multiplying monomials challenge
      • Multiplying monomials by polynomials
        • 🎥 Multiplying monomials by polynomials: area model
        • 🎥 Multiplying monomials by polynomials
        • 🎥 Multiplying monomials by polynomials challenge
      • Multiplying binomials
        • 🎥 Multiplying binomials: area model
        • 🎥 Multiplying binomials intro
        • 🎥 Multiplying binomials
      • Special products of binomials
        • 🎥 Special products of the form (x+a)(x-a)
        • 🎥 Squaring binomials of the form (x+a)²
        • 🎥 Special products of the form (ax+b)(ax-b)
        • 🎥 Squaring binomials of the form (ax+b)²
        • 🎥 Special products of binomials: two variables
        • 🎥 More examples of special products
        • 🎥 Squaring a binomial (old)
      • Multiplying binomials by polynomials
        • 🎥 Multiplying binomials by polynomials
        • 🎥 Multiplying binomials by polynomials: area model
        • 🎥 Multiplying binomials by polynomials challenge
        • 🎥 Multiplying binomials by polynomials (old)
        • 🎥 Multiplying binomials with radicals (old)
      • Polynomials word problems
        • 🎥 Polynomial multiplication word problem
        • 🎥 Polynomial word problem: rectangle and circle area
        • 🎥 Polynomial word problem: total value of bills
        • 🎥 Polynomial word problem: area of a window
      • Introduction to factorization
        • 🎥 Intro to factors & divisibility
      • Factoring monomials
        • 🎥 Monomial factorization
        • 🎥 Worked example: finding the missing monomial factor
        • 🎥 Worked example: finding missing monomial side in area model
        • 🎥 Greatest common factor of monomials
      • Factoring polynomials by taking common factors
        • 🎥 Factoring with the distributive property
        • 🎥 Factoring binomials: common factor
        • 🎥 Factoring polynomials: common factor
        • 🎥 Factoring polynomials: common factor area model
        • 🎥 Factoring polynomials: common binomial factor
        • 🎥 Factoring polynomials: common factor (old)
        • 🎥 Factoring polynomials: common factor (old)
      • Evaluating expressions with unknown variables
        • 🎥 Worked example: evaluating expressions using structure
        • 🎥 Worked example: evaluating expressions using structure (more examples)
      • Factoring quadratics intro
        • 🎥 Factoring quadratics as (x+a)(x+b)
        • 🎥 Factoring quadratics as (x+a)(x+b) (example 2)
        • 🎥 More examples of factoring quadratics as (x+a)(x+b)
      • Factoring quadratics by grouping
        • 🎥 Intro to grouping
        • 🎥 Factoring quadratics by grouping
      • Factoring polynomials with quadratic forms
        • 🎥 Factoring quadratics: common factor + grouping
        • 🎥 Factoring quadratics: negative common factor + grouping
        • 🎥 Factoring two-variable quadratics
        • 🎥 Factoring two-variable quadratics: rearranging
        • 🎥 Factoring two-variable quadratics: grouping
        • 🎥 Factoring quadratics with common factor (old)
      • Factoring quadratics: Difference of squares
        • 🎥 Difference of squares intro
        • 🎥 Factoring difference of squares: leading coefficient ≠ 1
        • 🎥 Factoring difference of squares: analyzing factorization
        • 🎥 Factoring difference of squares: missing values
        • 🎥 Factoring difference of squares: shared factors
      • Factoring quadratics: Perfect squares
        • 🎥 Perfect square factorization intro
        • 🎥 Factoring perfect squares
        • 🎥 Identifying perfect square form
        • 🎥 Factoring perfect squares: common factor
        • 🎥 Factoring perfect squares: negative common factor
        • 🎥 Factoring perfect squares: missing values
        • 🎥 Factoring perfect squares: shared factors
      • Strategy in factoring quadratics
        • 🎥 Strategy in factoring quadratics (part 1 of 2)
        • 🎥 Strategy in factoring quadratics (part 2 of 2)
      • Factoring polynomials with special product forms
        • 🎥 Factoring perfect squares: 4th degree polynomial
        • 🎥 Factoring difference of squares: two variables
        • 🎥 Factoring difference of squares: two variables (example 2)
      • Long division of polynomials
        • 🎥 Intro to long division of polynomials
        • 🎥 Dividing polynomials: long division
      • Synthetic division of polynomials
        • 🎥 Intro to polynomial synthetic division
        • 🎥 Dividing polynomials: synthetic division
        • 🎥 Why synthetic division works
      • Practice dividing polynomials with remainders
        • 🎥 Dividing polynomials with remainders: monomial divisors
        • 🎥 Dividing polynomials with remainders: monomial divisors (example 2)
        • 🎥 Dividing polynomials with remainders
      • Polynomial Remainder Theorem
        • 🎥 Intro to the Polynomial Remainder Theorem
        • 🎥 Using the Polynomial Remainder Theorem: finding remainders
        • 🎥 Using the Polynomial Remainder Theorem: checking factors
        • 🎥 Using the Polynomial Remainder Theorem: finding coefficients
        • 🎥 Proof of the Polynomial Remainder Theorem
      • Binomial theorem
        • 🎥 Intro to the Binomial Theorem
        • 🎥 Pascal's triangle and binomial expansion
        • 🎥 Expanding binomials
        • 🎥 Expanding binomials w/o Pascal's triangle
      • Understanding the binomial theorem
        • 🎥 Binomial expansion & combinatorics
        • 🎥 Pascal's triangle & combinatorics
        • 🎥 Binomial expansion & combinatorics (old)
      • Advanced polynomial factorization methods
        • 🎥 Factoring higher-degree polynomials
        • 🎥 Factoring sum of cubes
        • 🎥 Factoring difference of cubes
      • Proving polynomial identities
        • 🎥 Analyzing polynomial identities
      • Polynomial identities with complex numbers
        • 🎥 Complex numbers & sum of squares factorization
        • 🎥 Factoring sum of squares
      • Quadratic equations with complex numbers
        • 🎥 Solving quadratic equations: complex roots
      • Fundamental Theorem of Algebra
        • 🎥 The Fundamental theorem of Algebra
        • 🎥 Quadratics & the Fundamental Theorem of Algebra
        • 🎥 Number of possible real roots of a polynomial
      • Finding zeros of polynomials
        • 🎥 Finding zeros of polynomials (1 of 2)
        • 🎥 Finding zeros of polynomials (2 of 2)
        • 🎥 Finding zeros of polynomials (example 2)
      • Zeros of polynomials and their graphs
        • 🎥 Zeros of polynomials & their graphs
      • End behavior of polynomial functions
        • 🎥 Intro to end behavior of polynomials
        • 🎥 End behavior of functions & their graphs
      • Graphs of polynomials
      • Introduction to symmetry of functions
        • 🎥 Intro to function symmetry
        • 🎥 Graphical symmetry of functions
        • 🎥 Even/odd functions & numbers
      • Symmetry of polynomial functions
        • 🎥 Even & odd polynomials
    • Exponential & logarithmic functions
      • Exponent properties review
        • 🎥 Multiplying & dividing powers (integer exponents)
        • 🎥 Powers of products & quotients (integer exponents)
      • Radicals
        • 🎥 Intro to square roots
        • 🎥 Understanding square roots
        • 🎥 Intro to cube roots
        • 🎥 Square root of decimal
        • 🎥 5th roots
      • Rational exponents intro
        • 🎥 Intro to rational exponents
        • 🎥 Rewriting roots as rational exponents
        • 🎥 Exponential equation with rational answer
      • Properties of exponents (rational exponents)
        • 🎥 Simplifying quotient of powers (rational exponents)
        • 🎥 Simplifying mixed radical and exponential expressions
      • Advanced exponent & radical evaluation
        • 🎥 Evaluating fractional exponents
        • 🎥 Evaluating fractional exponents: negative unit-fraction
        • 🎥 Evaluating fractional exponents: fractional base
        • 🎥 Evaluating quotient of fractional exponents
        • 🎥 Evaluating mixed radicals and exponents
      • Simplifying square roots
        • 🎥 Simplifying square roots
        • 🎥 Simplifying square roots (variables)
        • 🎥 Simplifying square-root expressions
      • Simplifying radicals (higher-index roots)
        • 🎥 Simplifying higher-index roots
        • 🎥 Simplifying cube root expressions
        • 🎥 Simplifying cube root expressions (two variables)
        • 🎥 Simplifying higher-index root expressions
      • Radicals (miscellaneous videos)
        • 🎥 Simplifying square-root expressions: no variables
        • 🎥 Simplifying square roots of fractions
        • 🎥 Simplifying rational exponent expressions: mixed exponents and radicals
        • 🎥 Simplifying square-root expressions: no variables (advanced)
        • 🎥 Intro to rationalizing the denominator
        • 🎥 Worked example: rationalizing the denominator
        • 🎥 Simplifying radical expressions (addition)
        • 🎥 Simplifying radical expressions (subtraction)
        • 🎥 Simplifying radical expressions: two variables
        • 🎥 Simplifying radical expressions: three variables
        • 🎥 Simplifying hairy expression with fractional exponents
      • Exponential vs. linear growth
        • 🎥 Intro to exponential functions
        • 🎥 Exponential vs. linear growth
        • 🎥 Exponential vs. linear models: verbal
        • 🎥 Exponential vs. linear models: table
      • Exponential expressions
        • 🎥 Exponential expressions word problems (numerical)
        • 🎥 Initial value & common ratio of exponential functions
        • 🎥 Exponential expressions word problems (algebraic)
        • 🎥 Interpreting exponential expression word problem
      • Graphs of exponential growth
        • 🎥 Exponential function graph
        • 🎥 Graphs of exponential growth
      • Exponential vs. linear growth over time
        • 🎥 Exponential vs. linear growth over time
      • Exponential decay
        • 🎥 Exponential decay intro
        • 🎥 Graphing exponential growth & decay
        • 🎥 Exponential growth & decay word problems
      • Exponential functions from tables & graphs
        • 🎥 Writing exponential functions
        • 🎥 Writing exponential functions from tables
        • 🎥 Writing exponential functions from graphs
        • 🎥 Analyzing tables of exponential functions
        • 🎥 Analyzing graphs of exponential functions
        • 🎥 Analyzing graphs of exponential functions: negative initial value
        • 🎥 Modeling with basic exponential functions word problem
      • Equivalent forms of exponential expressions
        • 🎥 Simplifying exponential expressions
        • 🎥 Rewriting exponential expressions
      • Solving exponential equations using properties of exponents
        • 🎥 Solving exponential equations using exponent properties
        • 🎥 Solving exponential equations using exponent properties (advanced)
      • Introduction to rate of exponential growth and decay
        • 🎥 Exponential growth & decay word problems
      • Interpreting the rate of change of exponential models (Algebra 2 level)
        • 🎥 Interpreting change in exponential models
        • 🎥 Interpreting time in exponential models
      • Constructing exponential models according to rate of change (Algebra 2 level)
        • 🎥 Constructing exponential models
        • 🎥 Constructing exponential models: half life
        • 🎥 Constructing exponential models: percent change
        • 🎥 Constructing exponential models (old example)
      • Advanced interpretation of exponential models (Algebra 2 level)
        • 🎥 Interpreting change in exponential models: with manipulation
        • 🎥 Interpreting change in exponential models: changing units
        • 🎥 Structure in exponential expression
      • Distinguishing between linear and exponential growth (Algebra 2 level)
        • 🎥 Linear vs. exponential growth: from data
        • 🎥 Linear vs. exponential growth: from data (example 2)
        • 🎥 Comparing growth of exponential & quadratic models
      • Introduction to logarithms (Algebra 2 level)
        • 🎥 Intro to logarithms
        • 🎥 Evaluating logarithms (advanced)
        • 🎥 Relationship between exponentials & logarithms
        • 🎥 Relationship between exponentials & logarithms: graphs
        • 🎥 Relationship between exponentials & logarithms: tables
      • The constant e and the natural logarithm (Algebra 2 level)
        • 🎥 𝑒 and compound interest
        • 🎥 𝑒 as a limit
        • 🎥 Evaluating natural logarithm with calculator
      • Properties of logarithms (Algebra 2 level)
        • 🎥 Intro to logarithm properties (1 of 2)
        • 🎥 Intro to logarithm properties (2 of 2)
        • 🎥 Using the logarithmic product rule
        • 🎥 Using the logarithmic power rule
        • 🎥 Using the properties of logarithms: multiple steps
        • 🎥 Proof of the logarithm product rule
        • 🎥 Proof of the logarithm quotient and power rules
      • The change of base formula for logarithms (Algebra 2 level)
        • 🎥 Evaluating logarithms: change of base rule
        • 🎥 Using the logarithm change of base rule
        • 🎥 Proof of the logarithm change of base rule
      • Logarithmic equations (Algebra 2 level)
        • 🎥 Logarithmic equations: variable in the argument
        • 🎥 Logarithmic equations: variable in the base
      • Solving exponential equations with logarithms (Algebra 2 level)
        • 🎥 Solving exponential equations using logarithms: base-10
        • 🎥 Solving exponential equations using logarithms: base-2
      • Solving exponential models (Algebra 2 level)
        • 🎥 Exponential model word problem: medication dissolve
        • 🎥 Exponential model word problem: bacteria growth
      • Graphs of exponential functions (Algebra 2 level)
        • 🎥 Transforming exponential graphs
        • 🎥 Transforming exponential graphs (example 2)
        • 🎥 Graphing exponential functions
        • 🎥 Exponential function graph
        • 🎥 Graphs of exponential functions (old example)
      • Graphs of logarithmic functions (Algebra 2 level)
        • 🎥 Graphs of logarithms & exponentials
        • 🎥 Graphing basic logarithmic functions
        • 🎥 Graphs of logarithmic functions
        • 🎥 Vertical asymptote of natural log
      • Logarithmic scale (Algebra 2 level)
        • 🎥 Logarithmic scale (with Vi Hart)
        • 🎥 Logarithmic scale
        • 🎥 Richter scale
        • 🎥 Benford's law (with Vi Hart, 1 of 2)
        • 🎥 Benford's law (with Vi Hart, 2 of 2)
    • Radical equations & functions
      • Solving square-root equations
        • 🎥 Intro to square-root equations & extraneous solutions
        • 🎥 Solving square-root equations (basic)
        • 🎥 Solving square-root equations: one solution
        • 🎥 Solving square-root equations: two solutions
        • 🎥 Solving square-root equations: no solution
      • Extraneous solutions of radical equations
        • 🎥 Extraneous solutions of radical equations
        • 🎥 Extraneous solutions of radical equations (example 2)
      • Solving cube-root equations
        • 🎥 Solving cube-root equations
      • Domain of radical functions
        • 🎥 Domain of a radical function
      • Graphs of radical functions
        • 🎥 Transforming the square-root function
        • 🎥 Graphs of square-root functions
        • 🎥 Square-root functions & their graphs
    • Rational expressions, equations, & functions
      • Intro to rational expressions
      • Simplifying rational expressions
        • 🎥 Intro to rational expression simplification
        • 🎥 Simplifying rational expressions: common monomial factors
        • 🎥 Simplifying rational expressions: common binomial factors
        • 🎥 Simplifying rational expressions: opposite common binomial factors
        • 🎥 Simplifying rational expressions: grouping
        • 🎥 Simplifying rational expressions: higher degree terms
        • 🎥 Simplifying rational expressions: two variables
        • 🎥 Simplifying rational expressions (old video)
      • Multiplying & dividing rational expressions
        • 🎥 Multiplying & dividing rational expressions: monomials
        • 🎥 Multiplying rational expressions
        • 🎥 Dividing rational expressions
        • 🎥 Multiplying rational expressions: multiple variables
        • 🎥 Dividing rational expressions: unknown expression
      • Adding & subtracting rational expressions
        • 🎥 Adding & subtracting rational expressions: like denominators
        • 🎥 Intro to adding rational expressions with unlike denominators
        • 🎥 Adding rational expression: unlike denominators
        • 🎥 Subtracting rational expressions: unlike denominators
        • 🎥 Least common multiple
        • 🎥 Least common multiple: repeating factors
        • 🎥 Subtracting rational expressions: factored denominators
        • 🎥 Least common multiple of polynomials
        • 🎥 Subtracting rational expressions
      • Nested fractions
        • 🎥 Nested fractions
      • Solving rational equations
        • 🎥 Equations with one rational expression
        • 🎥 Equations with one rational expression (advanced)
        • 🎥 Equations with rational expressions
        • 🎥 Equations with rational expressions (example 2)
        • 🎥 Equation with two rational expressions (old example)
        • 🎥 Equation with two rational expressions (old example 2)
        • 🎥 Equation with two rational expressions (old example 3)
      • Direct and inverse variation
        • 🎥 Intro to direct & inverse variation
        • 🎥 Recognizing direct & inverse variation
        • 🎥 Recognizing direct & inverse variation: table
        • 🎥 Direct variation word problem: filling gas
        • 🎥 Direct variation word problem: space travel
        • 🎥 Inverse variation word problem: string vibration
        • 🎥 Proportionality constant for direct variation
      • End behavior of rational functions
        • 🎥 End behavior of rational functions
      • Discontinuities of rational functions
        • 🎥 Discontinuities of rational functions
        • 🎥 Analyzing vertical asymptotes of rational functions
      • Graphs of rational functions
        • 🎥 Graphing rational functions according to asymptotes
        • 🎥 Graphs of rational functions: y-intercept
        • 🎥 Graphs of rational functions: horizontal asymptote
        • 🎥 Graphs of rational functions: vertical asymptotes
        • 🎥 Graphs of rational functions: zeros
        • 🎥 Graphs of rational functions (old example)
        • 🎥 Graphing rational functions 1
        • 🎥 Graphing rational functions 2
        • 🎥 Graphing rational functions 3
        • 🎥 Graphing rational functions 4
      • Modeling with rational functions
        • 🎥 Analyzing structure word problem: pet store (1 of 2)
        • 🎥 Analyzing structure word problem: pet store (2 of 2)
        • 🎥 Rational equations word problem: combined rates
        • 🎥 Rational equations word problem: combined rates (example 2)
        • 🎥 Rational equations word problem: eliminating solutions
        • 🎥 Reasoning about unknown variables
        • 🎥 Reasoning about unknown variables: divisibility
        • 🎥 Structure in rational expression
      • Rational inequalities
        • 🎥 Rational inequalities: one side is zero
        • 🎥 Rational inequalities: both sides are not zero
      • Partial fraction expansion
        • 🎥 Intro to partial fraction expansion
        • 🎥 Partial fraction expansion
        • 🎥 Partial fraction expansion: repeated factors
    • Trigonometric functions
      • Introduction to radians
        • 🎥 Intro to radians
        • 🎥 Radians & degrees
        • 🎥 Degrees to radians
        • 🎥 Radians to degrees
        • 🎥 Radian angles & quadrants
      • The unit circle definition of sine, cosine, & tangent
        • 🎥 Unit circle
        • 🎥 The trig functions & right triangle trig ratios
      • The graphs of sine, cosine, & tangent
        • 🎥 Graph of y=sin(x)
        • 🎥 Graph of y=tan(x)
        • 🎥 Intersection points of y=sin(x) and y=cos(x)
      • Basic trigonometric identities
        • 🎥 Sine & cosine identities: symmetry
        • 🎥 Tangent identities: symmetry
        • 🎥 Sine & cosine identities: periodicity
        • 🎥 Tangent identities: periodicity
      • Trigonometric values of special angles
        • 🎥 Trig values of special angles
      • Pythagorean identity
        • 🎥 Proof of the Pythagorean trig identity
        • 🎥 Using the Pythagorean trig identity
      • Introduction to amplitude, midline, & extrema of sinusoidal functions
        • 🎥 Features of sinusoidal functions
      • Finding amplitude & midline of sinusoidal functions from their formulas
        • 🎥 Amplitude & period of sinusoidal functions from equation
      • Period of sinusoidal functions
        • 🎥 Amplitude & period of sinusoidal functions from equation
      • Graphing sinusoidal functions
        • 🎥 Transforming sinusoidal graphs: vertical stretch & horizontal reflection
        • 🎥 Transforming sinusoidal graphs: vertical & horizontal stretches
      • Constructing sinusoidal functions
        • 🎥 Sinusoidal function from graph
        • 🎥 Trig word problem: modeling daily temperature
        • 🎥 Trig word problem: modeling annual temperature
      • The inverse trigonometric functions
        • 🎥 Intro to arcsine
        • 🎥 Intro to arctangent
        • 🎥 Intro to arccosine
        • 🎥 Restricting domains of functions to make them invertible
        • 🎥 Domain & range of inverse tangent function
        • 🎥 Using inverse trig functions with a calculator
      • Solving basic sinusoidal equations
        • 🎥 Solving sinusoidal equations of the form sin(x)=d
        • 🎥 Solving cos(θ)=1 and cos(θ)=-1
      • Solving advanced sinusoidal equations
      • Solving sinusoidal models
        • 🎥 Trig word problem: solving for temperature
      • Introduction to the trigonometric angle addition identities
        • 🎥 Review of trig angle addition identities
        • 🎥 Using the cosine angle addition identity
        • 🎥 Using the cosine double-angle identity
        • 🎥 Proof of the sine angle addition identity
        • 🎥 Proof of the cosine angle addition identity
      • Using trigonometric identities to solve problems
        • 🎥 Finding trig values using angle addition identities
        • 🎥 Using trig angle addition identities: finding side lengths
        • 🎥 Using trig angle addition identities: manipulating expressions
        • 🎥 Using trigonometric identities
      • Parametric equations
        • 🎥 Parametric functions intro
        • 🎥 Removing the parameter in parametric equations
        • 🎥 Removing the parameter in parametric equations (example 2)
        • 🎥 Parametric equations with the same graph
    • Algebraic modeling
      • Rate conversion
        • 🎥 Intro to dimensional analysis
        • 🎥 Same rate with different units
      • Appropriate units
        • 🎥 Appropriate units
        • 🎥 Interpreting units in formulas
        • 🎥 Interpreting units in formulas: novel units
      • Word problems with multiple units
        • 🎥 Worked example: Rate problem
        • 🎥 Multiple units word problem: road trip
        • 🎥 Measurement word problem: running laps
        • 🎥 Multiple units word problem: drug dosage (advanced)
      • Modeling with one-variable equations & inequalities
        • 🎥 Rational equation word problem
        • 🎥 Quadratic inequality word problem
        • 🎥 Exponential equation word problem
      • Manipulating formulas
        • 🎥 Manipulating formulas: perimeter
        • 🎥 Manipulating formulas: area
        • 🎥 Manipulating formulas: temperature
    • Complex numbers
      • What are the imaginary numbers?
        • 🎥 Intro to the imaginary numbers
        • 🎥 Powers of the imaginary unit
        • 🎥 Simplifying roots of negative numbers
        • 🎥 i as the principal root of -1
      • What are the complex numbers?
        • 🎥 Intro to complex numbers
        • 🎥 How to classify complex numbers (example)
      • The complex plane
        • 🎥 Plotting numbers on the complex plane
      • Adding & subtracting complex numbers
        • 🎥 Adding complex numbers
        • 🎥 Subtracting complex numbers
      • Multiplying complex numbers
        • 🎥 Multiplying complex numbers
      • Complex conjugates & dividing complex numbers
        • 🎥 Intro to complex number conjugates
        • 🎥 Complex number conjugates
        • 🎥 Dividing complex numbers
      • Absolute value & angle of complex numbers
        • 🎥 Absolute value of complex numbers
        • 🎥 Absolute value & angle of complex numbers
      • Distance & midpoint of complex numbers
        • 🎥 Distance & midpoint of complex numbers
      • Polar form of complex numbers
        • 🎥 Polar & rectangular forms of complex numbers
      • Multiplying & dividing complex numbers in polar form
        • 🎥 Dividing complex numbers: polar & exponential form
        • 🎥 Powers of complex numbers
        • 🎥 Complex number equations: x³=1
      • Challenging complex number problems
        • 🎥 Challenging complex numbers problem (1 of 3)
        • 🎥 Challenging complex numbers problem (2 of 3)
        • 🎥 Challenging complex numbers problem (3 of 3)
        • 🎥 Challenging complex numbers problem: complex determinant
    • Conic sections
      • Introduction to conic sections
        • 🎥 Intro to conic sections
      • The features of a circle
        • 🎥 Graphing circles from features
        • 🎥 Features of a circle from its graph
      • Standard equation of a circle
        • 🎥 Features of a circle from its standard equation
        • 🎥 Graphing a circle from its standard equation
        • 🎥 Writing standard equation of a circle
      • Expanded equation of a circle
        • 🎥 Features of a circle from its expanded equation
      • Center and radii of an ellipse
        • 🎥 Intro to ellipses
        • 🎥 Ellipse standard equation from graph
        • 🎥 Ellipse graph from standard equation
      • Foci of an ellipse
        • 🎥 Foci of an ellipse from equation
      • Focus and directrix of a parabola
        • 🎥 Intro to focus & directrix
        • 🎥 Equation of a parabola from focus & directrix
        • 🎥 Focus & directrix of a parabola from equation
      • Introduction to hyperbolas
        • 🎥 Intro to hyperbolas
        • 🎥 Vertices & direction of a hyperbola
        • 🎥 Vertices & direction of a hyperbola (example 2)
        • 🎥 Graphing hyperbolas (old example)
      • Foci of a hyperbola
        • 🎥 Foci of a hyperbola from equation
        • 🎥 Proof of the hyperbola foci formula
      • Hyperbolas not centered at the origin
        • 🎥 Equation of a hyperbola not centered at the origin
      • Identifying conic sections from their expanded equations
        • 🎥 Conic section from expanded equation: circle & parabola
        • 🎥 Conic section from expanded equation: ellipse
        • 🎥 Conic section from expanded equation: hyperbola
      • Challenging conic section problems (IIT JEE)
        • 🎥 Representing a line tangent to a hyperbola
        • 🎥 Common tangent of circle & hyperbola (1 of 5)
        • 🎥 Common tangent of circle & hyperbola (2 of 5)
        • 🎥 Common tangent of circle & hyperbola (3 of 5)
        • 🎥 Common tangent of circle & hyperbola (4 of 5)
        • 🎥 Common tangent of circle & hyperbola (5 of 5)
        • 🎥 Intersection of circle & hyperbola
    • Series & induction
      • Basic sigma notation
        • 🎥 Summation notation
      • Arithmetic series
        • 🎥 Arithmetic series intro
        • 🎥 Worked example: arithmetic series (sigma notation)
        • 🎥 Worked example: arithmetic series (sum expression)
        • 🎥 Worked example: arithmetic series (recursive formula)
        • 🎥 Proof of finite arithmetic series formula
      • Geometric sequences
        • 🎥 Intro to geometric sequences
        • 🎥 Intro to geometric sequences (advanced)
        • 🎥 Explicit & recursive formulas for geometric sequences
        • 🎥 Converting recursive & explicit forms of geometric sequences
      • Finite geometric series
        • 🎥 Geometric series intro
        • 🎥 Geometric series with sigma notation
        • 🎥 Worked example: finite geometric series (sigma notation)
        • 🎥 Worked examples: finite geometric series
        • 🎥 Finite geometric series formula justification
      • Finite geometric series applications
        • 🎥 Finite geometric series word problem: social media
        • 🎥 Finite geometric series word problem: mortgage
      • Advanced sigma notation
        • 🎥 Arithmetic series in sigma notation
        • 🎥 Finite geometric series in sigma notation
        • 🎥 Worked example: evaluating series (advanced)
        • 🎥 Partial sums intro
        • 🎥 Partial sums: formula for nth term from partial sum
        • 🎥 Partial sums: term value from partial sum
      • Infinite geometric series
        • 🎥 Infinite geometric series formula intuition
        • 🎥 Proof of infinite geometric series as a limit
        • 🎥 Worked example: convergent geometric series
        • 🎥 Worked example: divergent geometric series
      • Infinite geometric series applications
        • 🎥 Infinite geometric series word problem: bouncing ball
        • 🎥 Infinite geometric series word problem: repeating decimal
      • Deductive and inductive reasoning
        • 🎥 Inductive & deductive reasoning
        • 🎥 Deductive reasoning
        • 🎥 Using deductive reasoning
        • 🎥 Inductive reasoning
        • 🎥 Inductive reasoning (example 2)
        • 🎥 Using inductive reasoning
        • 🎥 Using inductive reasoning (example 2)
      • Induction
        • 🎥 Proof of finite arithmetic series formula by induction
    • Vectors
      • Vector basics
        • 🎥 Intro to vectors & scalars
        • 🎥 Recognizing vectors
        • 🎥 Equivalent vectors
        • 🎥 Components of vectors
        • 🎥 Components of vectors (example 2)
      • Magnitude of vectors
        • 🎥 Vector magnitude from graph
        • 🎥 Vector magnitude from components
        • 🎥 Vector magnitude from initial & terminal points
      • Scalar multiplication
        • 🎥 Scalar multiplication of vectors
        • 🎥 Analyzing scalar multiplication
      • Vector addition & subtraction
        • 🎥 Adding & subtracting vectors
        • 🎥 Graphically adding & subtracting vectors
        • 🎥 Graphically subtracting vectors
        • 🎥 Adding vectors algebraically & graphically
      • Combined vector operations
        • 🎥 Combined vector operations
      • Unit vectors
        • 🎥 Worked example: finding unit vector with given direction
        • 🎥 Unit vectors intro
        • 🎥 Worked example: Scaling unit vectors
      • Magnitude & direction form of vectors
        • 🎥 Direction of vectors from components: 1st & 2nd quadrants
        • 🎥 Direction of vectors from components: 3rd & 4th quadrants
      • Component form of vectors
        • 🎥 Vector components from magnitude & direction
      • Adding vectors in magnitude & direction form
        • 🎥 Adding vectors in magnitude & direction form (1 of 2)
        • 🎥 Adding vectors in magnitude & direction form (2 of 2)
        • 🎥 Vector addition & magnitude
      • Applications of vectors
        • 🎥 Vectors word problem: pushing a box
        • 🎥 Vectors word problem: tug of war
        • 🎥 Vectors word problem: hiking
    • Matrices
      • Introduction to matrices
        • 🎥 Intro to matrices
      • Representing linear systems of equations with augmented matrices
      • Elementary matrix row operations
      • Row-echelon form & Gaussian elimination
        • 🎥 Solving linear systems with matrices
      • Adding & subtracting matrices
        • 🎥 Adding & subtracting matrices
      • Multiplying matrices by scalars
        • 🎥 Multiplying matrices by scalars
      • Properties of matrix addition & scalar multiplication
      • Multiplying matrices by matrices
        • 🎥 Intro to matrix multiplication
        • 🎥 Multiplying matrices
      • Properties of matrix multiplication
        • 🎥 Defined matrix operations
        • 🎥 Intro to identity matrix
        • 🎥 Dimensions of identity matrix
        • 🎥 Is matrix multiplication commutative?
        • 🎥 Associative property of matrix multiplication
        • 🎥 Zero matrix & matrix multiplication
        • 🎥 Using properties of matrix operations
        • 🎥 Using identity & zero matrices
      • Matrices as transformations
        • 🎥 Transforming vectors using matrices
        • 🎥 Transforming polygons using matrices
        • 🎥 Visual representation of transformation from matrix
      • Determinant of a 2x2 matrix
        • 🎥 Determinant of a 2x2 matrix
      • Introduction to matrix inverses
        • 🎥 Intro to matrix inverses
        • 🎥 Determining invertible matrices
      • Finding the inverse of a matrix using its determinant
        • 🎥 Finding inverse of a 2x2 matrix using determinant & adjugate
      • Practice finding the inverses of 2x2 matrices
      • Determinants & inverses of large matrices
        • 🎥 Determinant of a 3x3 matrix: standard method (1 of 2)
        • 🎥 Determinant of a 3x3 matrix: shortcut method (2 of 2)
        • 🎥 Inverting a 3x3 matrix using Gaussian elimination
        • 🎥 Inverting a 3x3 matrix using determinants Part 1: Matrix of minors and cofactor matrix
        • 🎥 Inverting a 3x3 matrix using determinants Part 2: Adjugate matrix
      • Solving equations with inverse matrices
        • 🎥 Representing linear systems with matrix equations
        • 🎥 Solving linear systems with matrix equations
        • 🎥 Matrix word problem: vector combination
      • Model real-world situations with matrices
        • 🎥 Matrix word problem: prices
  • Geometry (all content)
    • Lines
      • Lines, line segments, and rays
        • 🎥 Euclid as the father of geometry
        • 🎥 Terms & labels in geometry
        • 🎥 Lines, line segments, & rays
        • 🎥 Identifying rays
      • Measuring segments
        • 🎥 Measuring Line Segments
        • 🎥 Congruent line segments
      • Parallel and perpendicular
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines
        • 🎥 Drawing parallel line segments
      • Points, lines, & planes
        • 🎥 Specifying planes in three dimensions
      • Geometric definitions
        • 🎥 Geometric definitions example
      • The golden ratio
        • 🎥 The golden ratio
    • Angles
      • Angle introduction
        • 🎥 Angles: introduction
        • 🎥 Naming angles
      • Measuring angles
        • 🎥 Measuring angles in degrees
        • 🎥 Measuring angles using a protractor
        • 🎥 Measuring angles using a protractor 2
      • Constructing angles
        • 🎥 Constructing angles
      • Angles in circles
        • 🎥 Angle measurement & circle arcs
      • Angle types
        • 🎥 Recognizing angles
        • 🎥 Drawing acute, right and obtuse angles
        • 🎥 Identifying an angle
      • Vertical, complementary, and supplementary angles
        • 🎥 Complementary & supplementary angles
        • 🎥 Angle relationships example
        • 🎥 Vertical angles are congruent proof
      • Angles between intersecting lines
        • 🎥 Angles, parallel lines, & transversals
        • 🎥 Parallel & perpendicular lines
        • 🎥 Missing angles with a transversal
        • 🎥 Parallel lines & corresponding angles proof
        • 🎥 Missing angles (CA geometry)
        • 🎥 Proving angles are congruent
        • 🎥 Proofs with transformations
      • Sal's old angle videos
        • 🎥 Intro to angles (old)
        • 🎥 Angles (part 2)
        • 🎥 Angles (part 3)
        • 🎥 Angles formed between transversals and parallel lines
        • 🎥 Angles of parallel lines 2
        • 🎥 The angle game
        • 🎥 The angle game (part 2)
        • 🎥 Acute, right, & obtuse angles
    • Shapes
      • Properties of shapes
        • 🎥 Cousin Fal's shape collection
        • 🎥 Recognizing shapes
      • Classifying geometric shapes
        • 🎥 Classifying shapes by line and angles types
      • Angles with polygons
        • 🎥 Sum of interior angles of a polygon
        • 🎥 Sum of the exterior angles of a polygon
      • Geometric solids (3D shapes)
    • Triangles
      • Triangle types
        • 🎥 Classifying triangles
        • 🎥 Classifying triangles by angles
        • 🎥 Worked example: Classifying triangles
      • Triangle angles
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Triangle exterior angle example
        • 🎥 Worked example: Triangle angles (intersecting lines)
        • 🎥 Worked example: Triangle angles (diagram)
        • 🎥 Triangle angle challenge problem
        • 🎥 Triangle angle challenge problem 2
      • Triangle inequality theorem
        • 🎥 Triangle inequality theorem
      • Perpendicular bisectors
        • 🎥 Circumcenter of a triangle
        • 🎥 Circumcenter of a right triangle
        • 🎥 Three points defining a circle
        • 🎥 Area circumradius formula proof
        • 🎥 2003 AIME II problem 7
      • Angle bisectors
        • 🎥 Distance between a point & line
        • 🎥 Incenter and incircles of a triangle
        • 🎥 Inradius, perimeter, & area
      • Medians & centroids
        • 🎥 Triangle medians & centroids
        • 🎥 Triangle medians and centroids (2D proof)
        • 🎥 Dividing triangles with medians
        • 🎥 Exploring medial triangles
        • 🎥 Centroid & median proof
        • 🎥 Median, centroid example
      • Altitudes
        • 🎥 Proof: Triangle altitudes are concurrent (orthocenter)
        • 🎥 Common orthocenter and centroid
      • Bringing it all together
        • 🎥 Review of triangle properties
        • 🎥 Euler line
        • 🎥 Euler's line proof
    • Quadrilaterals
      • Quadrilateral types
        • 🎥 Intro to quadrilateral
        • 🎥 Quadrilateral properties
        • 🎥 Quadrilateral types
        • 🎥 Classifying quadrilaterals
        • 🎥 Kites as a geometric shape
      • Quadrilateral proofs & angles
        • 🎥 Proof: Opposite sides of a parallelogram
        • 🎥 Proof: Diagonals of a parallelogram
        • 🎥 Proof: Opposite angles of a parallelogram
        • 🎥 Proof: Rhombus diagonals are perpendicular bisectors
        • 🎥 Whether a special quadrilateral can exist
        • 🎥 Rhombus diagonals
    • Coordinate plane
      • Coordinate plane: quadrant 1
        • 🎥 Coordinate plane: graphing points
        • 🎥 Coordinate plane graphing word problem
      • Coordinate plane: 4 quadrants
        • 🎥 Points on the coordinate plane examples
        • 🎥 Plotting a point (ordered pair)
        • 🎥 Finding the point not graphed
        • 🎥 Coordinate plane word problem examples
      • Quadrants on the coordinate plane
        • 🎥 Quadrants of the coordinate plane
        • 🎥 Points and quadrants example
      • Reflecting points on coordinate plane
        • 🎥 Reflecting points in the coordinate plane
      • Quadrilaterals on the coordinate plane
        • 🎥 Coordinates of a missing vertex
        • 🎥 Area of a parallelogram on the coordinate plane
        • 🎥 Dimensions of a rectangle from coordinates
        • 🎥 Coordinates of rectangle example
      • Drawing polygons in the coordinate plane
        • 🎥 Drawing a quadrilateral on the coordinate plane example
        • 🎥 Drawing a trapezoid on the coordinate plane example
    • Area and perimeter
      • Count unit squares to find area
        • 🎥 Intro to area and unit squares
        • 🎥 Measuring rectangles with different unit squares
        • 🎥 Measuring area with partial unit squares
        • 🎥 Creating rectangles with a given area 1
        • 🎥 Creating rectangles with a given area 2
      • Area of rectangles
        • 🎥 Transitioning from unit squares to area formula
        • 🎥 Finding missing side when given area
        • 🎥 Counting unit squares to find area formula
      • Perimeter
        • 🎥 Perimeter: introduction
        • 🎥 Perimeter of a shape
        • 🎥 Finding perimeter when a side length is missing
        • 🎥 Finding missing side length when given perimeter
        • 🎥 Perimeter & area
        • 🎥 Perimeter and unit conversion
        • 🎥 Applying the metric system to perimeter
      • Area of parallelograms
        • 🎥 Area of a parallelogram
      • Area of triangles
        • 🎥 Area of a triangle
        • 🎥 Area of triangle proof
      • Area of shapes on grids
        • 🎥 Area of a triangle on a grid
        • 🎥 Area of a quadrilateral on a grid
      • Area of trapezoids & composite figures
        • 🎥 Area of trapezoids
        • 🎥 Area of kites
        • 🎥 Finding area by rearranging parts
        • 🎥 Area of composite shapes
        • 🎥 Perimeter & area of composite shapes
        • 🎥 Challenge problems: perimeter & area
      • Area and circumference of circles
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Labeling parts of a circle
        • 🎥 Radius & diameter from circumference
        • 🎥 Area of a circle
        • 🎥 Area of a circle intuition
      • Advanced area with triangles
        • 🎥 Area of equilateral triangle
        • 🎥 Area of equilateral triangle (advanced)
        • 🎥 Area of diagonal-generated triangles
    • Volume and surface area
      • Volume of rectangular prisms
        • 🎥 Volume intro
        • 🎥 Measuring volume with unit cubes
        • 🎥 Measuring volume as area times length
        • 🎥 Volume of a rectangular prism
        • 🎥 Volume of triangular prism & cube
      • Volume with fractions
        • 🎥 Volume with fractional cubes
        • 🎥 Volume of a rectangular prism: fractional dimensions
        • 🎥 Volume of a rectangular prism: word problem
      • Surface area
        • 🎥 Intro to nets of polyhedra
        • 🎥 Surface area using a net: triangular prism
        • 🎥 Surface area of a box (cuboid)
        • 🎥 Surface area of a box using nets
        • 🎥 Surface area using a net: rectangular prism
      • Volume of cones, cylinders, and spheres
        • 🎥 Cylinder volume & surface area
        • 🎥 Volume of a cone
        • 🎥 Volume of a sphere
      • Solid geometry
      • Surface and volume density
        • 🎥 Density word problem: blimp
      • Cross sections of 3D objects
        • 🎥 Slicing a rectangular pyramid
        • 🎥 Ways to cross-section a cube
        • 🎥 Rotating 2D shapes in 3D
      • Koch snowflake fractal
        • 🎥 Koch snowflake fractal
        • 🎥 Area of Koch snowflake (1 of 2)
        • 🎥 Area of Koch snowflake (2 of 2)
      • Heron's formula
        • 🎥 Heron's formula
        • 🎥 Proof of Heron's formula (1 of 2)
        • 🎥 Proof of Heron's formula (2 of 2)
    • Pythagorean theorem
      • Pythagorean theorem
        • 🎥 Intro to the Pythagorean theorem
        • 🎥 Pythagorean theorem example
      • Pythagorean theorem application
        • 🎥 Pythagorean theorem word problem: carpet
        • 🎥 Pythagorean theorem word problem: fishing boat
        • 🎥 Pythagorean theorem in 3D
      • Pythagorean theorem and distance between points
        • 🎥 Distance formula
      • Pythagorean theorem proofs
        • 🎥 Garfield's proof of the Pythagorean theorem
        • 🎥 Bhaskara's proof of the Pythagorean theorem
        • 🎥 Pythagorean theorem proof using similarity
        • 🎥 Another Pythagorean theorem proof
    • Transformations
      • Introduction to rigid transformations
        • 🎥 Rigid transformations intro
      • Translations
        • 🎥 Translating shapes
        • 🎥 Determining translations
        • 🎥 Translation challenge problem
      • Rotations
        • 🎥 Rotating shapes
        • 🎥 Determining rotations
        • 🎥 Rotating shapes: center ≠ (0,0)
      • Reflections
        • 🎥 Reflecting shapes: diagonal line of reflection
        • 🎥 Determining reflections (advanced)
      • Rigid transformations overview
      • Dilations
        • 🎥 Performing dilations
        • 🎥 Dilating shapes: shrinking
        • 🎥 Dilating shapes: expanding
      • Properties and definitions of transformations
        • 🎥 Identifying type of transformation
      • Symmetry
        • 🎥 Intro to reflective symmetry
        • 🎥 Intro to rotational symmetry
        • 🎥 Finding a quadrilateral from its symmetries
        • 🎥 Finding a quadrilateral from its symmetries (example 2)
      • Old transformations videos
        • 🎥 Performing translations (old)
        • 🎥 Performing rotations (old)
        • 🎥 Performing reflections: rectangle (old)
        • 🎥 Performing reflections: line (old)
        • 🎥 Determining translations (old)
        • 🎥 Rotation examples (old)
        • 🎥 Determining rotations (old)
        • 🎥 Dilating lines
    • Congruence
      • Transformations and congruence
        • 🎥 Congruent shapes & transformations
        • 🎥 Non-congruent shapes & transformations
      • Triangle congruence
        • 🎥 Congruent triangles & the SSS postulate/criterion
        • 🎥 Triangle congruence postulates/criteria
        • 🎥 Why SSA isn't a congruence postulate/criterion
        • 🎥 Determining congruent triangles
      • Theorems concerning triangle properties
        • 🎥 Angles in a triangle sum to 180° proof
        • 🎥 Proofs concerning isosceles triangles
        • 🎥 Proofs concerning equilateral triangles
      • Working with triangles
        • 🎥 Corresponding angles in congruent triangles
        • 🎥 Isosceles & equilateral triangles problems
        • 🎥 Finding angles in isosceles triangles
        • 🎥 Finding angles in isosceles triangles (example 2)
      • Theorems concerning quadrilateral properties
        • 🎥 Proof: Opposite sides of a parallelogram
        • 🎥 Proof: Diagonals of a parallelogram
        • 🎥 Proof: Opposite angles of a parallelogram
        • 🎥 Proof: The diagonals of a kite are perpendicular
        • 🎥 Proof: Rhombus diagonals are perpendicular bisectors
        • 🎥 Proof: Rhombus area
      • Proofs of general theorems that use triangle congruence
        • 🎥 Geometry proof problem: midpoint
        • 🎥 Geometry proof problem: congruent segments
        • 🎥 Geometry proof problem: squared circle
    • Similarity
      • Definitions of similarity
        • 🎥 Similar shapes & transformations
      • Introduction to triangle similarity
        • 🎥 Intro to triangle similarity
        • 🎥 Triangle similarity postulates/criteria
        • 🎥 Determining similar triangles
        • 🎥 Proving slope is constant using similarity
      • Solving similar triangles
        • 🎥 Solving similar triangles
        • 🎥 Solving similar triangles: same side plays different roles
      • Angle bisector theorem
        • 🎥 Intro to angle bisector theorem
        • 🎥 Using the angle bisector theorem
      • Solving problems with similar and congruent triangles
        • 🎥 Using similar & congruent triangles
        • 🎥 Challenging similarity problem
      • Solving modeling problems with similar and congruent triangles
        • 🎥 Geometry word problem: the golden ratio
        • 🎥 Geometry word problem: Earth & Moon radii
        • 🎥 Geometry word problem: a perfect pool shot
    • Trigonometry
      • Special right triangles
        • 🎥 Special right triangles intro (part 1)
        • 🎥 Special right triangles intro (part 2)
        • 🎥 30-60-90 triangle example problem
        • 🎥 Special right triangles proof (part 1)
        • 🎥 Special right triangles proof (part 2)
        • 🎥 Area of a regular hexagon
      • Introduction to the trigonometric ratios
        • 🎥 Intro to the trigonometric ratios
        • 🎥 Trigonometric ratios in right triangles
      • Solving for a side in a right triangle using the trigonometric ratios
        • 🎥 Solving for a side in right triangles with trigonometry
      • Solving for an angle in a right triangle using the trigonometric ratios
      • Modeling with right triangles
        • 🎥 Right triangle word problem
      • Trigonometric ratios and similarity
        • 🎥 Triangle similarity & the trigonometric ratios
        • 🎥 Trig challenge problem: verify identities
        • 🎥 Trig challenge problem: trig values & side ratios
      • Sine and cosine of complementary angles
        • 🎥 Sine & cosine of complementary angles
        • 🎥 Using complementary angles
        • 🎥 Trig word problem: complementary angles
      • The reciprocal trigonometric ratios
        • 🎥 Finding reciprocal trig ratios
        • 🎥 Using reciprocal trig ratios
      • The law of sines
        • 🎥 Solving for a side with the law of sines
        • 🎥 Solving for an angle with the law of sines
        • 🎥 Proof of the law of sines
      • The law of cosines
        • 🎥 Solving for a side with the law of cosines
        • 🎥 Solving for an angle with the law of cosines
        • 🎥 Proof of the law of cosines
      • Solving general triangles
        • 🎥 Trig word problem: stars
    • Circles
      • Circle basics
        • 🎥 Circles glossary
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Proof: all circles are similar
      • Arc measure
        • 🎥 Intro to arc measure
        • 🎥 Finding arc measures
        • 🎥 Finding arc measures with equations
      • Arc length (degrees)
        • 🎥 Arc length from subtended angle
        • 🎥 Subtended angle from arc length
      • Introduction to radians
        • 🎥 Intro to radians
        • 🎥 Radians & degrees
        • 🎥 Degrees to radians
        • 🎥 Radians to degrees
      • Arc length (radians)
        • 🎥 Arc length as fraction of circumference
        • 🎥 Arc length from subtended angle: radians
      • Sectors
        • 🎥 Area of a sector
      • Inscribed angles
        • 🎥 Inscribed angles
        • 🎥 Inscribed angle theorem proof
      • Inscribed shapes problem solving
        • 🎥 Proof: Right triangles inscribed in circles
        • 🎥 Inscribed shapes: find diameter
        • 🎥 Inscribed shapes: angle subtended by diameter
        • 🎥 Inscribed shapes: find inscribed angle
        • 🎥 Inscribed quadrilaterals proof
        • 🎥 Solving inscribed quadrilaterals
      • Properties of tangents
        • 🎥 Proof: Radius is perpendicular to tangent line
        • 🎥 Proof: Segments tangent to circle from outside point are congruent
        • 🎥 Tangents of circles problem (example 1)
        • 🎥 Tangents of circles problem (example 2)
        • 🎥 Tangents of circles problem (example 3)
      • Area of inscribed triangle
        • 🎥 Proof: radius is perpendicular to a chord it bisects
        • 🎥 Proof: perpendicular radius bisects chord
        • 🎥 Area of inscribed equilateral triangle
      • Standard equation of a circle
        • 🎥 Features of a circle from its standard equation
        • 🎥 Graphing a circle from its standard equation
        • 🎥 Writing standard equation of a circle
      • Expanded equation of a circle
        • 🎥 Features of a circle from its expanded equation
    • Analytic geometry
      • Distance and midpoints
        • 🎥 Distance formula
        • 🎥 Midpoint formula
      • Dividing line segments
        • 🎥 Dividing line segments: graphical
        • 🎥 Dividing line segments
      • Problem solving with distance on the coordinate plane
        • 🎥 Area of trapezoid on the coordinate plane
        • 🎥 Points inside/outside/on a circle
        • 🎥 Challenge problem: Points on two circles
        • 🎥 Coordinate plane word problem
        • 🎥 Classifying quadrilaterals on the coordinate plane
      • Parallel and perpendicular lines on the coordinate plane
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines from graph
      • Equations of parallel and perpendicular lines
        • 🎥 Parallel lines from equation
        • 🎥 Parallel lines from equation (example 2)
        • 🎥 Parallel lines from equation (example 3)
        • 🎥 Perpendicular lines from equation
        • 🎥 Writing equations of perpendicular lines
        • 🎥 Writing equations of perpendicular lines (example 2)
        • 🎥 Proof: parallel lines have the same slope
        • 🎥 Proof: perpendicular lines have negative reciprocal slope
      • Challenge: Distance between a point and a line
        • 🎥 Distance between point & line
    • Geometric constructions
      • Constructing bisectors of lines and angles
        • 🎥 Geometric constructions: perpendicular bisector
        • 🎥 Geometric constructions: perpendicular line
        • 🎥 Geometric constructions: angle bisector
      • Constructing regular polygons inscribed in circles
        • 🎥 Geometric constructions: circle-inscribed square
        • 🎥 Geometric constructions: circle-inscribed equilateral triangle
        • 🎥 Geometric constructions: circle-inscribed regular hexagon
      • Constructing circumcircles and incircles
        • 🎥 Geometric constructions: triangle-inscribing circle
        • 🎥 Geometric constructions: triangle-circumscribing circle
      • Constructing a line tangent to a circle
        • 🎥 Geometric constructions: circle tangent
        • 🎥 Geometric constructions: circle tangent (example 2)
    • Miscellaneous
      • Worked examples
        • 🎥 Challenge problems: perimeter & area
        • 🎥 Challenging perimeter problem
        • 🎥 CA Geometry: Deductive reasoning
        • 🎥 CA Geometry: Proof by contradiction
        • 🎥 CA Geometry: More proofs
        • 🎥 CA Geometry: Similar triangles 1
        • 🎥 CA Geometry: More on congruent and similar triangles
        • 🎥 CA Geometry: Triangles and parallelograms
        • 🎥 CA Geometry: Area, pythagorean theorem
        • 🎥 CA Geometry: Area, circumference, volume
        • 🎥 CA Geometry: Pythagorean theorem, area
        • 🎥 CA Geometry: Exterior angles
        • 🎥 CA Geometry: Pythagorean theorem, compass constructions
        • 🎥 CA Geometry: Compass construction
        • 🎥 CA Geometry: Basic trigonometry
        • 🎥 CA Geometry: More trig
        • 🎥 CA Geometry: Circle area chords tangent
  • Calculus (all content, first year)
    • Limits and continuity
      • Limits introduction
        • 🎥 Newton, Leibniz, and Usain Bolt
        • 🎥 Limits intro
        • 🎥 Introduction to limits (old)
      • Limits from tables
        • 🎥 Limits from tables
      • Limits from graphs
        • 🎥 Limits from graphs: function undefined
        • 🎥 Limits from graphs: limit isn't equal to the function's value
        • 🎥 Limits from graphs: asymptote
      • One-sided limits
        • 🎥 One-sided limits from graphs
        • 🎥 One-sided limits from graphs: asymptote
        • 🎥 One-sided limits from tables
        • 🎥 1-sided vs. 2-sided limits (graphical)
        • 🎥 One-sided limit from equation
        • 🎥 Connecting limits and graphical behavior (more examples)
      • Formal definition of limits (epsilon-delta)
        • 🎥 Formal definition of limits Part 1: intuition review
        • 🎥 Formal definition of limits Part 2: building the idea
        • 🎥 Formal definition of limits Part 3: the definition
        • 🎥 Formal definition of limits Part 4: using the definition
      • Review: Limits basics
      • Continuity at a point
        • 🎥 Continuity introduction
        • 🎥 Worked example: Continuity at a point
        • 🎥 Discontinuity points challenge example
      • Limits of combined and composite functions
        • 🎥 Limit properties
        • 🎥 Limits of combined functions
        • 🎥 Limits of composite functions
      • Continuous functions
        • 🎥 Functions continuous on all real numbers
        • 🎥 Functions continuous at specific x-values
      • Intermediate value theorem
        • 🎥 Intermediate value theorem
        • 🎥 Intermediate value theorem example
      • Review: Continuity
      • Limits from equations (direct substitution)
        • 🎥 Limits by direct substitution
        • 🎥 Undefined limits by direct substitution
      • Limits from equations (factoring & rationalizing)
        • 🎥 Limits by factoring
        • 🎥 Limits by rationalizing
        • 🎥 Finding limits by factoring (cubic)
      • Squeeze theorem
        • 🎥 Squeeze theorem intro
        • 🎥 Squeeze theorem example
        • 🎥 Limit of sin(x)/x as x approaches 0
        • 🎥 Squeeze theorem intro (old)
      • Limits of trigonometric functions
        • 🎥 Trig limit using pythagorean identity
        • 🎥 Trig limit using double angle identity
      • Limits of piecewise functions
        • 🎥 Analyzing functions for discontinuities (continuous example)
        • 🎥 Analyzing functions for discontinuities (discontinuity example)
      • Removable discontinuities
        • 🎥 Removing discontinuities (factoring)
        • 🎥 Removing discontinuities (rationalization)
      • Review: Limits from equations
      • Unbounded limits (vertical asymptotes)
        • 🎥 Infinite limits intro
        • 🎥 Unbounded limits: graphical
        • 🎥 Analyzing unbounded limits: rational function
        • 🎥 Analyzing unbounded limits: mixed function
        • 🎥 Visually determining vertical asymptotes (old)
      • Limits at infinity (horizontal asymptotes)
        • 🎥 Infinite limits intro
        • 🎥 Limits at infinity of quotients (Part 1)
        • 🎥 Limits at infinity of quotients (Part 2)
        • 🎥 Limits at infinity of quotients with square roots (odd power)
        • 🎥 Limits at infinity of quotients with square roots (even power)
        • 🎥 Limits at infinity of quotients with trig
        • 🎥 Limits at infinity of quotients with trig (limit undefined)
        • 🎥 Limit at infinity of a difference of functions
      • Review: Infinite limits
      • Limits skill checks
    • Taking derivatives
      • Introduction to differential calculus
        • 🎥 Newton, Leibniz, and Usain Bolt
        • 🎥 Derivative as slope of curve
        • 🎥 Derivative & the direction of a function
      • Derivative as slope of tangent line
        • 🎥 The derivative & tangent line equations
        • 🎥 Interpreting derivative challenge
      • Derivative as instantaneous rate of change
        • 🎥 Tangent slope as instantaneous rate of change
        • 🎥 Estimating derivatives with two consecutive secant lines
        • 🎥 Approximating instantaneous rate of change with average rate of change
      • Secant lines
        • 🎥 Slope of a line secant to a curve
        • 🎥 Secant line with arbitrary difference
        • 🎥 Secant line with arbitrary point
        • 🎥 Secant line with arbitrary difference (with simplification)
        • 🎥 Secant line with arbitrary point (with simplification)
        • 🎥 Secant lines: challenging problem 1
        • 🎥 Secant lines: challenging problem 2
      • Derivative as a limit
        • 🎥 Formal definition of the derivative as a limit
        • 🎥 Derivative as a limit: numerical
      • Formal definition of derivative
        • 🎥 Formal and alternate form of the derivative
        • 🎥 Worked example: Derivative as a limit
        • 🎥 Worked example: Derivative from limit expression
      • Using the formal definition of derivative
        • 🎥 The derivative of x² at x=3 using the formal definition
        • 🎥 The derivative of x² at any point using the formal definition
        • 🎥 Limit expression for the derivative of a linear function
        • 🎥 Limit expression for the derivative of cos(x) at a minimum point
        • 🎥 Limit expression for the derivative of function (graphical)
      • Differentiability
        • 🎥 Differentiability at a point: graphical
        • 🎥 Differentiability at a point: algebraic (function is differentiable)
        • 🎥 Differentiability at a point: algebraic (function isn't differentiable)
        • 🎥 Differentiability at a point (old)
      • Derivative as a function
        • 🎥 The graphical relationship between a function & its derivative (part 1)
        • 🎥 The graphical relationship between a function & its derivative (part 2)
        • 🎥 Matching functions & their derivatives graphically
        • 🎥 Connecting f and f' graphically
        • 🎥 Matching functions & their derivatives graphically (old)
      • Review: Derivative basics
      • Basic differentiation rules
        • 🎥 Basic derivative rules (Part 1)
        • 🎥 Basic derivative rules (Part 2)
        • 🎥 Basic derivative rules: find the error
        • 🎥 Basic derivative rules: table
      • Power rule
        • 🎥 Power rule
        • 🎥 Justifying the power rule
        • 🎥 Proof of power rule for positive integer powers
        • 🎥 Proof of power rule for square root function
      • Polynomial functions differentiation
        • 🎥 Differentiating polynomials
        • 🎥 Differentiating polynomials example
        • 🎥 Tangents of polynomials
      • Rational functions differentiation (intro)
        • 🎥 Negative powers differentiation
        • 🎥 Worked example: Tangent to the graph of 1/x
      • Radical functions differentiation (intro)
        • 🎥 Fractional powers differentiation
        • 🎥 Radical functions differentiation intro
      • Sine & cosine derivatives
        • 🎥 Derivatives of sin(x), cos(x), tan(x), eˣ & ln(x)
        • 🎥 Worked example: Derivatives of sin(x) and cos(x)
      • eˣ and ln(x) derivatives
        • 🎥 Derivatives of sin(x), cos(x), tan(x), eˣ & ln(x)
      • Review: Basic differentiation
      • Product rule
        • 🎥 Product rule
        • 🎥 Differentiating products
        • 🎥 Worked example: Product rule with table
        • 🎥 Worked example: Product rule with mixed implicit & explicit
        • 🎥 Product rule to find derivative of product of three functions
        • 🎥 Product rule proof
      • Chain rule
        • 🎥 Chain rule
        • 🎥 Worked example: Derivative of cos³(x) using the chain rule
        • 🎥 Worked example: Derivative of ln(√x) using the chain rule
        • 🎥 Worked example: Derivative of √(3x²-x) using the chain rule
        • 🎥 Worked example: Chain rule with table
        • 🎥 Quotient rule from product & chain rules
        • 🎥 Chain rule with the power rule
        • 🎥 Applying the chain rule graphically 1 (old)
        • 🎥 Applying the chain rule graphically 2 (old)
        • 🎥 Applying the chain rule graphically 3 (old)
      • Chain rule proof
        • 🎥 Proof: Differentiability implies continuity
        • 🎥 If function u is continuous at x, then Δu→0 As Δx→0
        • 🎥 Chain rule proof
      • Quotient rule
        • 🎥 Quotient rule from product & chain rules
        • 🎥 Worked example: Quotient rule with table
        • 🎥 Tangent to y=𝑒ˣ/(2+x³)
        • 🎥 Normal to y=𝑒ˣ/x²
      • Review: Product, quotient, & chain rule
      • Rational functions differentiation
        • 🎥 Differentiating rational functions
      • Radical functions differentiation
        • 🎥 Radical functions differentiation
      • Trigonometric functions differentiation
        • 🎥 Derivatives of tan(x) and cot(x)
        • 🎥 Derivatives of sec(x) and csc(x)
        • 🎥 Trig functions differentiation
        • 🎥 Derivative of tan(x) (old)
      • Exponential functions differentiation
        • 🎥 Derivatives of sin(x), cos(x), tan(x), eˣ & ln(x)
        • 🎥 Exponential functions differentiation intro
        • 🎥 Exponential functions differentiation
        • 🎥 Derivative of 2ˣ (old)
      • Logarithmic functions differentiation
        • 🎥 Derivatives of sin(x), cos(x), tan(x), eˣ & ln(x)
        • 🎥 Derivative of logₐx (for any positive base a≠1)
        • 🎥 Logarithmic functions differentiation
        • 🎥 Differentiating logarithmic functions using log properties
        • 🎥 Derivative of logarithm for any base (old)
      • Derivatives capstone
        • 🎥 Derivative of eᶜᵒˢˣ⋅cos(eˣ)
        • 🎥 Derivative of sin(ln(x²))
      • Implicit differentiation introduction
        • 🎥 Implicit differentiation
        • 🎥 Worked example: Implicit differentiation
        • 🎥 Worked example: Evaluating derivative with implicit differentiation
        • 🎥 Showing explicit and implicit differentiation give same result
      • Implicit differentiation (advanced examples)
        • 🎥 Implicit differentiation (advanced example)
        • 🎥 Implicit differentiation (advanced example)
        • 🎥 Implicit differentiation (advanced example)
        • 🎥 Derivative of ln(x) from derivative of 𝑒ˣ and implicit differentiation
      • Inverse trig functions differentiation
        • 🎥 Derivative of inverse sine
        • 🎥 Derivative of inverse cosine
        • 🎥 Derivative of inverse tangent
      • Derivatives of inverse functions
        • 🎥 Derivatives of inverse functions: from equation
        • 🎥 Derivatives of inverse functions: from table
      • Disguised derivatives
        • 🎥 Derivatives expressed as limits
      • Proofs for the derivatives of eˣ and ln(x)
        • 🎥 Proof: The derivative of 𝑒ˣ is 𝑒ˣ
        • 🎥 Proof: the derivative of ln(x) is 1/x
      • Logarithmic differentiation
        • 🎥 Composite exponential function differentiation
        • 🎥 Worked example: Composite exponential function differentiation
      • Parametric & vector-valued function differentiation
        • 🎥 Vector-valued functions intro
        • 🎥 Vector-valued functions differentiation
        • 🎥 Parametric functions differentiation
      • Review: Advanced differentiation
      • Higher-order derivatives
        • 🎥 Second derivatives
      • Higher-order derivatives (parametric & vector-valued functions)
        • 🎥 Second derivatives (vector-valued functions)
        • 🎥 Second derivatives (parametric functions)
      • Taking derivatives skill checks
      • Polar curve differentiation
    • Derivative applications
      • Critical points
        • 🎥 Introduction to minimum and maximum points
        • 🎥 Identifying relative minimum and maximum values
        • 🎥 Critical points introduction
        • 🎥 Finding critical points
      • Increasing & decreasing intervals
        • 🎥 Finding decreasing interval given the function
        • 🎥 Finding increasing interval given the derivative
      • Relative minima & maxima
        • 🎥 Finding relative extrema (first derivative test)
        • 🎥 Analyzing a function with its derivative
        • 🎥 Worked example: finding relative extrema
      • Absolute minima & maxima
        • 🎥 Extreme value theorem
        • 🎥 Finding absolute extrema on a closed interval
        • 🎥 Absolute minima & maxima (entire domain)
      • Review: Increasing/decreasing intervals & extrema
      • Concavity
        • 🎥 Concavity introduction
        • 🎥 Analyzing concavity (graphical)
        • 🎥 Analyzing concavity (algebraic)
        • 🎥 Second derivative test
      • Points of inflection
        • 🎥 Inflection points introduction
        • 🎥 Inflection points (graphical)
        • 🎥 Worked example: Inflection points from first derivative
        • 🎥 Inflection points (algebraic)
      • Sketching graphs using calculus
        • 🎥 Curve sketching with calculus: polynomial
        • 🎥 Curve sketching with calculus: logarithm
      • Review: Concavity & points of inflection
      • Linear approximation
        • 🎥 Local linearity
        • 🎥 Linear approximation of a rational function
        • 🎥 Linear approximation example (old)
      • Rectilinear motion
        • 🎥 Motion problems: when a particle is speeding up
        • 🎥 Motion problems: finding the maximum acceleration
        • 🎥 Analyzing rectilinear motion graphically
        • 🎥 Total distance traveled by a particle
      • Planar motion
        • 🎥 Planar motion example: acceleration vector
        • 🎥 Motion along a curve: finding rate of change
        • 🎥 Motion along a curve: finding velocity magnitude
      • Related rates
        • 🎥 Related rates intro
        • 🎥 Related rates: Approaching cars
        • 🎥 Related rates: Falling ladder
        • 🎥 Related rates: water pouring into a cone
        • 🎥 Related rates: shadow
        • 🎥 Related rates: balloon
      • Optimization
        • 🎥 Optimization: sum of squares
        • 🎥 Optimization: box volume (Part 1)
        • 🎥 Optimization: box volume (Part 2)
        • 🎥 Optimization: profit
        • 🎥 Optimization: cost of materials
        • 🎥 Optimization: area of triangle & square (Part 1)
        • 🎥 Optimization: area of triangle & square (Part 2)
        • 🎥 Optimization problem: extreme normaline to y=x²
      • Applied rates of change
        • 🎥 Applied rate of change: forgetfulness
        • 🎥 Applied rates of change: marginal costs
        • 🎥 Marginal cost & differential calculus
      • Mean value theorem
        • 🎥 Mean value theorem
        • 🎥 Mean value theorem example: polynomial
        • 🎥 Mean value theorem example: square root function
        • 🎥 Mean value theorem application
        • 🎥 Mean value theorem (old)
      • L'Hôpital's rule
        • 🎥 L'Hôpital's rule introduction
        • 🎥 L'Hôpital's rule: limit at 0 example
        • 🎥 L'Hôpital's rule: challenging problem
        • 🎥 L'Hôpital's rule: limit at infinity example
        • 🎥 L'Hôpital's rule: solve for a variable
        • 🎥 L’Hôpital’s rule (composite exponential functions)
        • 🎥 Proof of special case of l'Hôpital's rule
      • Review: Derivative applications
      • Derivative applications skill check
    • Integration
      • Antiderivatives
        • 🎥 Antiderivatives and indefinite integrals
      • Indefinite integrals intro
        • 🎥 Reverse power rule
        • 🎥 Rewriting before integrating: challenge problem
        • 🎥 Visually determining antiderivative
        • 🎥 Graphs of indefinite integrals
      • Indefinite integrals of common functions
        • 🎥 Indefinite integrals of sin(x), cos(x), and eˣ
        • 🎥 Indefinite integral of 1/x
        • 🎥 Finding specific antiderivatives: rational function
        • 🎥 Finding specific antiderivatives: exponential function
      • Review: Indefinite integrals & antiderivatives
      • Definite integral as area
        • 🎥 Worked example: Definite integral by thinking about the function's graph
      • Definite integral properties
        • 🎥 Integrating scaled version of function
        • 🎥 Integrating sums of functions
        • 🎥 Definite integral over a single point
        • 🎥 Breaking up integral interval
        • 🎥 Definite integral of shifted function
        • 🎥 Switching bounds of definite integral
        • 🎥 Worked examples: Definite integral properties 2
        • 🎥 Worked examples: Definite integral properties 1
        • 🎥 Definite integral properties (no graph): function combination
        • 🎥 Definite integral properties (no graph): breaking interval
        • 🎥 Examples leveraging integration properties
      • Review: Definite integral basics
      • Riemann sums
        • 🎥 Riemann approximation introduction
        • 🎥 Riemann sums in summation notation
        • 🎥 Motion problem with Riemann sum approximation
      • Riemann sums with sigma notation
        • 🎥 Worked example: Riemann sums in summation notation
        • 🎥 Riemann sums in summation notation: challenge problem
      • Trapezoidal rule
        • 🎥 Midpoint and trapezoidal sums in summation notation
        • 🎥 Trapezoidal sums
      • Definite integral as the limit of a Riemann sum
        • 🎥 Definite integral as the limit of a Riemann sum
        • 🎥 Ranking area estimates
      • Review: Riemann sums
      • Functions defined by integrals
        • 🎥 Functions defined by integrals
        • 🎥 Functions defined by integrals: switched interval
        • 🎥 Functions defined by integrals: challenge problem
      • Fundamental theorem of calculus
        • 🎥 Fundamental theorem of calculus (Part 1)
        • 🎥 Worked example: Finding derivative with fundamental theorem of calculus
        • 🎥 Finding derivative with fundamental theorem of calculus: x is on both bounds
        • 🎥 Proof of fundamental theorem of calculus
      • Fundamental theorem of calculus: chain rule
        • 🎥 Worked example: Finding derivative with fundamental theorem of calculus
        • 🎥 Finding derivative with fundamental theorem of calculus: x is on lower bound
      • Definite integral evaluation
        • 🎥 Fundamental theorem of calculus (Part 2)
        • 🎥 Intuition for second part of fundamental theorem of calculus
        • 🎥 Area between a curve and the x-axis
        • 🎥 Area between a curve and the x-axis: negative area
        • 🎥 Definite integral of rational function
        • 🎥 Definite integral of radical function
        • 🎥 Definite integral of trig function
        • 🎥 Definite integral involving natural log
      • Definite integrals of piecewise functions
        • 🎥 Definite integral of piecewise function
        • 🎥 Definite integral of absolute value function
      • Improper integrals
        • 🎥 Introduction to improper integrals
        • 🎥 Improper integral with two infinite bounds
        • 🎥 Divergent improper integral
    • Integration techniques
      • Integration by parts
        • 🎥 Integration by parts intro
        • 🎥 Integration by parts: ∫x⋅cos(x)dx
        • 🎥 Integration by parts: ∫ln(x)dx
        • 🎥 Integration by parts: ∫x²⋅𝑒ˣdx
        • 🎥 Integration by parts: ∫𝑒ˣ⋅cos(x)dx
        • 🎥 Challenging definite integration
      • u-substitution
        • 🎥 𝘶-substitution intro
        • 🎥 𝘶-substitution: rational function
        • 🎥 𝘶-substitution: multiplying by a constant
        • 🎥 𝘶-substitution: logarithmic function
        • 🎥 𝘶-substitution: composite function
        • 🎥 𝘶-substitution: special application
        • 🎥 𝘶-substitution: definite integral of exponential function
        • 🎥 𝘶-substitution: double substitution
      • Reverse chain rule
        • 🎥 Reverse chain rule introduction
        • 🎥 Reverse chain rule example
        • 🎥 Integral of tan x
      • Partial fraction expansion
        • 🎥 Partial fraction expansion to evaluate integral
        • 🎥 Dividing expressions to evaluate integral
      • Integration using trigonometric identities
        • 🎥 Integral of cos^3(x)
        • 🎥 Integral of sin^2(x) cos^3(x)
        • 🎥 Integral of sin^4(x)
      • Trigonometric substitution
        • 🎥 Introduction to trigonometric substitution
        • 🎥 Substitution with x=sin(theta)
        • 🎥 More trig sub practice
        • 🎥 Trig and u substitution together (part 1)
        • 🎥 Trig and u substitution together (part 2)
        • 🎥 Trig substitution with tangent
        • 🎥 More trig substitution with tangent
        • 🎥 Long trig sub problem
    • Integration applications
      • Area between curves
        • 🎥 Area between curves
        • 🎥 Area between curves with multiple boundaries
      • Area defined by polar graphs
        • 🎥 Area bounded by polar curves
        • 🎥 Worked example: Area enclosed by cardioid
        • 🎥 Worked example: Area between two polar graphs
        • 🎥 Evaluating definite integral with calculator
      • Arc length
        • 🎥 Arc length intro
        • 🎥 Worked example: arc length
        • 🎥 Worked example: arc length (advanced)
      • Arc length of polar graphs
        • 🎥 Arc length of polar curves
        • 🎥 Worked example: Arc length of polar curves
      • Average value of a function
        • 🎥 Average value over a closed interval
        • 🎥 Calculating average value of function over interval
        • 🎥 Average acceleration over interval
        • 🎥 Mean value theorem for integrals
      • Area & net change
        • 🎥 Worked example: problem involving definite integral (graphical)
        • 🎥 Area under rate function gives the net change
      • Rectilinear motion (integral calc)
        • 🎥 Worked example: motion problems (with definite integrals)
      • Solids with known cross sections
        • 🎥 Volume with cross sections: semicircle
        • 🎥 Volume with cross sections: triangle
      • Disc method
        • 🎥 Disc method around x-axis
        • 🎥 Generalizing disc method around x-axis
        • 🎥 Disc method around y-axis
        • 🎥 Disc method rotation around horizontal line
        • 🎥 Disc method rotating around vertical line
        • 🎥 Calculating integral disc around vertical line
      • Washer method
        • 🎥 Solid of revolution between two functions (leading up to the washer method)
        • 🎥 Generalizing the washer method
        • 🎥 Washer method rotating around horizontal line (not x-axis), part 1
        • 🎥 Washer method rotating around horizontal line (not x-axis), part 2
        • 🎥 Washer method rotating around vertical line (not y-axis), part 1
        • 🎥 Washer method rotating around vertical line (not y-axis), part 2
      • Shell method
        • 🎥 Shell method for rotating around vertical line
        • 🎥 Evaluating integral for shell method example
        • 🎥 Shell method for rotating around horizontal line
        • 🎥 Shell method with two functions of x
        • 🎥 Calculating integral with shell method
        • 🎥 Shell method with two functions of y
        • 🎥 Part 2 of shell method with 2 functions of y
    • Series
      • Sequences review
        • 🎥 Sequences intro
        • 🎥 Worked example: sequence explicit formula
        • 🎥 Worked example: sequence recursive formula
        • 🎥 Geometric sequence review
        • 🎥 Extending geometric sequences
        • 🎥 Using explicit formulas of geometric sequences
        • 🎥 Using recursive formulas of geometric sequences
      • Infinite sequences
        • 🎥 Convergent and divergent sequences
        • 🎥 Worked example: sequence convergence/divergence
        • 🎥 Formal definition for limit of a sequence
        • 🎥 Proving a sequence converges using the formal definition
      • Series review
        • 🎥 Summation notation
        • 🎥 Converting explicit series terms to summation notation
        • 🎥 Converting explicit series terms to summation notation (n ≥ 2)
        • 🎥 Arithmetic series formula
        • 🎥 Worked example: arithmetic series (sigma notation)
        • 🎥 Worked example: arithmetic series (sum expression)
        • 🎥 Worked example: arithmetic series (recursive formula)
      • Finite geometric series
        • 🎥 Geometric series intro
        • 🎥 Geometric series with sigma notation
        • 🎥 Worked example: finite geometric series (sigma notation)
        • 🎥 Worked examples: finite geometric series
        • 🎥 Finite geometric series formula justification
      • Partial sums
        • 🎥 Partial sums intro
        • 🎥 Partial sums: formula for nth term from partial sum
        • 🎥 Infinite series as limit of partial sums
        • 🎥 Partial sums: term value from partial sum
      • Infinite geometric series
        • 🎥 Worked example: convergent geometric series
        • 🎥 Worked example: divergent geometric series
        • 🎥 Infinite geometric series formula intuition
        • 🎥 Proof of infinite geometric series as a limit
        • 🎥 Infinite geometric series word problem: bouncing ball
        • 🎥 Infinite geometric series word problem: repeating decimal
        • 🎥 Convergent & divergent geometric series (with manipulation)
      • Series basics challenge
        • 🎥 Telescoping series
        • 🎥 Divergent telescoping series
        • 🎥 Sum of n squares (part 1)
        • 🎥 Sum of n squares (part 2)
        • 🎥 Sum of n squares (part 3)
        • 🎥 Worked example: evaluating series (advanced)
      • Basic convergence tests
        • 🎥 nth term divergence test
        • 🎥 Integral test
        • 🎥 Worked example: Integral test
        • 🎥 Worked example: p-series
        • 🎥 Proof of p-series convergence criteria
      • Comparison tests
        • 🎥 Direct comparison test
        • 🎥 Worked example: direct comparison test
        • 🎥 Limit comparison test
        • 🎥 Worked example: limit comparison test
        • 🎥 Proof: harmonic series diverges
      • Ratio & alternating series tests
        • 🎥 Ratio test
        • 🎥 Alternating series test
        • 🎥 Conditional & absolute convergence
        • 🎥 Worked example: alternating series
      • Estimating infinite series
        • 🎥 Series estimation with integrals
        • 🎥 Worked example: Series estimation with integrals
        • 🎥 Alternating series remainder
        • 🎥 Worked example: alternating series remainder
      • Power series intro
        • 🎥 Power series intro
        • 🎥 Worked example: interval of convergence
        • 🎥 Integrating power series
        • 🎥 Differentiating power series
        • 🎥 Interval of convergence for derivative and integral
      • Taylor & Maclaurin polynomials intro
        • 🎥 Taylor & Maclaurin polynomials intro (part 1)
        • 🎥 Taylor & Maclaurin polynomials intro (part 2)
        • 🎥 Worked example: Maclaurin polynomial
        • 🎥 Worked example: coefficient in Maclaurin polynomial
        • 🎥 Worked example: coefficient in Taylor polynomial
        • 🎥 Taylor polynomial remainder (part 1)
        • 🎥 Taylor polynomial remainder (part 2)
        • 🎥 Worked example: estimating sin(0.4) using Lagrange error bound
        • 🎥 Worked example: estimating eˣ using Lagrange error bound
        • 🎥 Visualizing Taylor polynomial approximations
        • 🎥 Worked example: Taylor polynomial of derivative function
      • Maclaurin series of sin(x), cos(x), and eˣ
        • 🎥 Maclaurin series of cos(x)
        • 🎥 Maclaurin series of sin(x)
        • 🎥 Maclaurin series of eˣ
        • 🎥 Euler's formula & Euler's identity
        • 🎥 Worked example: power series from cos(x)
        • 🎥 Worked example: cosine function from power series
        • 🎥 Worked example: recognizing function from Taylor series
        • 🎥 Visualizing Taylor series approximations
      • Power series function representation
        • 🎥 Function as a geometric series
        • 🎥 Geometric series as a function
        • 🎥 Geometric series interval of convergence
        • 🎥 Power series of arctan(2x)
        • 🎥 Power series of ln(1+x³)
        • 🎥 Finding function from power series by integrating
      • Challenge series exercises
    • AP Calculus practice questions
      • AP Calculus AB questions
        • 🎥 Sal interviews the AP Calculus Lead at College Board
        • 🎥 2015 AP Calculus AB/BC 1ab
        • 🎥 2015 AP Calculus AB/BC 1c
        • 🎥 2015 AP Calculus AB/BC 1d
        • 🎥 2015 AP Calculus AB 2a
        • 🎥 2015 AP Calculus AP 2b
        • 🎥 2015 AP Calculus 2c
        • 🎥 2015 AP Calculus AB/BC 3a
        • 🎥 2015 AP Calculus AB/BC 3b
        • 🎥 2015 AP Calculus AB/BC 3cd
        • 🎥 2015 AP Calculus AB/BC 4ab
        • 🎥 2015 AP Calculus AB/BC 4cd
        • 🎥 2015 AP Calculus AB 5a
        • 🎥 2015 AP Calculus AB 5b
        • 🎥 2015 AP Calculus AB 5c
        • 🎥 2015 AP Calculus AB 5d
        • 🎥 2015 AP Calculus AB 6a
        • 🎥 2015 AP Calculus AB 6b
        • 🎥 2015 AP Calculus AB 6c
        • 🎥 2011 Calculus AB free response #1a
        • 🎥 2011 Calculus AB Free Response #1 parts b c d
        • 🎥 2011 Calculus AB free response #2 (a & b)
        • 🎥 2011 Calculus AB free response #2 (c & d)
        • 🎥 2011 Calculus AB free response #3 (a & b)
        • 🎥 2011 Calculus AB free response #3 (c)
        • 🎥 2011 Calculus AB free response #4a
        • 🎥 2011 Calculus AB free response #4b
        • 🎥 2011 Calculus AB free response #4c
        • 🎥 2011 Calculus AB free response #4d
        • 🎥 2011 Calculus AB free response #5a
        • 🎥 2011 Calculus AB free response #5b
        • 🎥 2011 Calculus AB free response #5c.
        • 🎥 2011 Calculus AB free response #6a
        • 🎥 2011 Calculus AB free response #6b
        • 🎥 2011 Calculus AB free response #6c
      • AP Calculus BC questions
        • 🎥 2015 AP Calculus BC 2a
        • 🎥 2015 AP Calculus BC 2b
        • 🎥 2015 AP Calculus BC 2c
        • 🎥 2015 AP Calculus BC 2d
        • 🎥 2015 AP Calculus BC 5a
        • 🎥 2015 AP Calculus BC 5b
        • 🎥 2015 AP Calculus BC 5c
        • 🎥 2015 AP Calculus BC 5d
        • 🎥 2015 AP Calculus BC 6a
        • 🎥 2015 AP Calculus BC 6b
        • 🎥 2015 AP Calculus BC 6c
        • 🎥 AP Calculus BC exams: 2008 1 a
        • 🎥 AP Calculus BC exams: 2008 1 b&c
        • 🎥 AP Calculus BC exams: 2008 1 c&d
        • 🎥 AP Calculus BC exams: 2008 1 d
        • 🎥 Calculus BC 2008 2 a
        • 🎥 Calculus BC 2008 2 b &c
        • 🎥 Calculus BC 2008 2d
        • 🎥 2011 Calculus BC free response #1a
        • 🎥 2011 Calculus BC free response #1 (b & c)
        • 🎥 2011 Calculus BC free response #1d
        • 🎥 2011 Calculus BC free response #3a
        • 🎥 2011 Calculus BC free response #3 (b & c)
        • 🎥 2011 Calculus BC free response #6a
        • 🎥 2011 Calculus BC free response #6b
        • 🎥 2011 Calculus BC free response #6c
        • 🎥 2011 Calculus BC free response #6d
  • Math for fun and glory
    • Doodling in Math and more
      • Spirals, Fibonacci and being a plant
        • 🎥 Doodling in math: Spirals, Fibonacci, and being a plant [1 of 3]
        • 🎥 Doodling in math: Spirals, Fibonacci, and being a plant [2 of 3]
        • 🎥 Doodling in math: Spirals, Fibonacci, and being a plant [3 of 3]
        • 🎥 Open letter to Nickelodeon, re: SpongeBob's pineapple under the sea
        • 🎥 Angle-a-trons
      • Doodling in math
        • 🎥 Doodling in math: Infinity elephants
        • 🎥 Doodling in math: Stars
        • 🎥 Doodling in math: Binary trees
        • 🎥 Doodling in math: Sick number games
        • 🎥 Doodling in math: Squiggle inception
        • 🎥 Doodling in math: Connecting dots
        • 🎥 Doodling in math: Triangle party
        • 🎥 Doodling in math: Snakes and graphs
        • 🎥 Doodling in math: Dragons
        • 🎥 Doodling in math: Dragon dungeons
        • 🎥 Doodling in math: Dragon scales
      • Hexaflexagons
        • 🎥 Hexaflexagons
        • 🎥 Hexaflexagons 2
        • 🎥 Hexaflexagon safety guide
        • 🎥 Flex Mex
      • About pi and tau
        • 🎥 A song about a circle constant
        • 🎥 Pi is (still) wrong
        • 🎥 Rhapsody on the proof of pi = 4
        • 🎥 Are Shakespeare's plays encoded within pi?
        • 🎥 Anti-Pi Rant, 3/14/14
      • Singing (and noises)
        • 🎥 Doodle music
        • 🎥 Binary hand dance
        • 🎥 What is up with noises? (The science and mathematics of sound, frequency, and pitch)
        • 🎥 Folding space-time
      • Mobius strips
        • 🎥 Math improv: Fruit by the foot
        • 🎥 Mobius story: Wind and Mr. Ug
      • Thanksgiving math
        • 🎥 Green bean matherole
        • 🎥 Borromean onion rings
        • 🎥 Optimal potatoes
        • 🎥 Thanksgiving turduckenen-duckenen
      • Infinity . . .
        • 🎥 9.999... reasons that .999... = 1
        • 🎥 How many kinds of infinity are there?
        • 🎥 Proof some infinities are bigger than other infinities
      • Other cool stuff
        • 🎥 What was up with Pythagoras?
        • 🎥 Origami proof of the Pythagorean theorem
        • 🎥 Wau: The most amazing, ancient, and singular number
        • 🎥 Dialogue for 2
        • 🎥 Fractal fractions
        • 🎥 How to snakes
        • 🎥 Re: Visual multiplication and 48/2(9+3)
        • 🎥 The Gauss Christmath Special
        • 🎥 Snowflakes, starflakes, and swirlflakes
        • 🎥 Sphereflakes
        • 🎥 Reel
        • 🎥 How I Feel About Logarithms
    • Puzzles
      • Brain teasers
        • 🎥 Cheryl's birthday
        • 🎥 Heavier ball
        • 🎥 Liar truth-teller brain teaser
        • 🎥 Toggler brain teaser
        • 🎥 Alien abduction brain teaser
        • 🎥 Blue forehead room brain teaser
        • 🎥 Blue forehead room solution
        • 🎥 Forehead numbers brain teaser
        • 🎥 Light bulb switching brain teaser
        • 🎥 Path counting brain teaser
        • 🎥 3D path counting brain teaser
      • Transformation Puzzles
      • Lights Puzzles
    • AMC 10
      • 2013 AMC 10 A
        • 🎥 2013 AMC 10 A #21 / AMC 12 A #17
        • 🎥 2013 AMC 10 A #22 / AMC 12 A #18
        • 🎥 2013 AMC 10 A #23 / AMC 12 A #19
        • 🎥 2013 AMC 10 A #24
        • 🎥 2013 AMC 10 A #25
    • AIME
      • 2003 AIME
        • 🎥 2003 AIME II problem 1
        • 🎥 2003 AIME II problem 3
        • 🎥 Sum of factors of 27000
        • 🎥 Sum of factors 2
        • 🎥 2003 AIME II problem 4 (part 1)
        • 🎥 2003 AIME II problem 4 (part 2)
        • 🎥 2003 AIME II problem 5
        • 🎥 2003 AIME II problem 5 minor correction
        • 🎥 Area circumradius formula proof
        • 🎥 2003 AIME II problem 6
        • 🎥 2003 AIME II problem 7
        • 🎥 2003 AIME II problem 8
        • 🎥 Sum of polynomial roots (proof)
        • 🎥 Sum of squares of polynomial roots
        • 🎥 2003 AIME II problem 9
        • 🎥 2003 AIME II problem 10
        • 🎥 Trig challenge problem: area of a triangle
        • 🎥 2003 AIME II problem 12
        • 🎥 2003 AIME II problem 13
        • 🎥 Trig challenge problem: area of a hexagon
        • 🎥 2003 AIME II problem 15 (part 1)
        • 🎥 2003 AIME II problem 15 (part 2)
        • 🎥 2003 AIME II problem 15 (part 3)
    • Math warmups
      • Expectation warmup
        • 🎥 Problem of Points
        • 🎥 Problem of Points 2
      • Random sampling warmup
        • 🎥 Introduction to random sampling
        • 🎥 Random sampling intuition
      • Distribution warmup
      • Arithmetic warmups
        • 🎥 Exponentiation warmup
        • 🎥 Intro to place value
        • 🎥 Addition with carrying warmup
  • Class 8 (India)
    • Rational numbers
      • Introduction to rational numbers
        • 🎥 Intro to rational & irrational numbers
    • Linear equations in one variable
      • Solving equations with linear expressions on one side and numbers on the other
      • Some applications
      • Solving linear equations with variables on both sides
        • 🎥 Why we do the same thing to both sides: Variable on both sides
        • 🎥 Intro to equations with variables on both sides
        • 🎥 Equations with variables on both sides: 20-7x=6x-6
        • 🎥 Equation with variables on both sides: fractions
      • Reducing equations to simpler form
        • 🎥 Equations with parentheses
        • 🎥 Ex 2: Distributive property to simplify
        • 🎥 Ex 3: Distributive property to simplify
      • Some more applications
        • 🎥 Equation with the variable in the denominator
        • 🎥 Age word problem: Arman & Diya
        • 🎥 Age word problem: Imran
        • 🎥 Age word problem: Ben & William
      • Algebraic equations review
        • 🎥 Variables, expressions, & equations
        • 🎥 Testing solutions to equations
    • Understanding quadrilaterals
      • Polygons
        • 🎥 Sum of interior angles of a polygon
      • Sum of the measures of the exterior angles of a polygon
        • 🎥 Sum of the exterior angles of a polygon
      • Kinds of quadrilaterals
        • 🎥 Intro to quadrilateral
        • 🎥 Quadrilateral properties
        • 🎥 Quadrilateral types
        • 🎥 Classifying quadrilaterals
        • 🎥 Kites as a geometric shape
      • Quadrilateral proofs & angles
        • 🎥 Proof: Opposite sides of a parallelogram
        • 🎥 Proof: Diagonals of a parallelogram
        • 🎥 Proof: Opposite angles of a parallelogram
        • 🎥 Proof: Rhombus diagonals are perpendicular bisectors
        • 🎥 Proof: Rhombus area
        • 🎥 Area of parallelogram proof
        • 🎥 Whether a special quadrilateral can exist
        • 🎥 Rhombus diagonals
    • Data handling
      • Organizing data
        • 🎥 Frequency tables & dot plots
      • Grouping Data
        • 🎥 Creating a histogram
        • 🎥 Interpreting a histogram
        • 🎥 Histograms
      • Circle Graphs or Pie Charts
        • 🎥 Reading pie graphs (circle graphs)
      • Chance and Probability
        • 🎥 Intro to theoretical probability
        • 🎥 Simple probability: yellow marble
        • 🎥 Simple probability: non-blue marble
        • 🎥 Die rolling probability
        • 🎥 Die rolling probability
        • 🎥 Count outcomes using tree diagram
        • 🎥 Probability with counting outcomes
        • 🎥 Coin flipping probability
        • 🎥 Free-throw probability
        • 🎥 Three-pointer vs free-throw probability
    • Squares and square roots
      • Squares
      • Square roots
        • 🎥 Intro to square roots
        • 🎥 Understanding square roots
        • 🎥 Simplifying square roots
        • 🎥 Simplifying radicals
        • 🎥 Square root of decimal
      • Estimating square roots
        • 🎥 Approximating square roots to hundredths
    • Cubes and cubes roots
      • Cube roots
        • 🎥 Intro to cube roots
        • 🎥 Worked example: Cube root of a negative number
        • 🎥 Simplifying a cube root
        • 🎥 Cube root of a non-perfect cube
    • Algebraic expressions and identities
      • What are expressions?
        • 🎥 Variables, expressions, & equations
      • Addition and subtraction of algebraic expressions
      • Multiplying a monomial by a monomial
        • 🎥 Multiplying monomials to find area
        • 🎥 Multiplying monomials to find area: two variables
      • Multiplying a monomial by a polynomial
        • 🎥 Multiplying monomials by polynomials
      • Multiplying a polynomial by a polynomial
        • 🎥 Multiplying binomials
        • 🎥 Multiplying binomials by polynomials
      • Standard identities
        • 🎥 More examples of special products
        • 🎥 Special products of the form (ax+b)(ax-b)
        • 🎥 Squaring binomials of the form (ax+b)²
        • 🎥 Special products of binomials: two variables
    • Visualising solid shapes
      • Mapping space around us
        • 🎥 Interpreting a scale drawing
        • 🎥 Solving a scale drawing word problem
        • 🎥 Making a scale drawing
    • Mensuration
      • Let us recall
      • Area of a trapezium
        • 🎥 Area of trapezoids
      • Area of general quadrilaterals
        • 🎥 Proof: Rhombus area
      • Area of polygons
        • 🎥 Area of composite shapes
      • Surface area
        • 🎥 Intro to nets of polyhedra
        • 🎥 Surface area using a net: triangular prism
        • 🎥 Surface area of a box (cuboid)
        • 🎥 Surface area of a box using nets
        • 🎥 Surface area using a net: rectangular prism
      • Volume of cube, cuboid, and cylinder
        • 🎥 Volume intro
        • 🎥 Measuring volume with unit cubes
        • 🎥 Measuring volume as area times length
        • 🎥 Volume of a rectangular prism: fractional dimensions
        • 🎥 Volume of a rectangular prism
        • 🎥 Volume word problem: water tank
        • 🎥 Volume word problem: gold ring
        • 🎥 Volume of triangular prism & cube
        • 🎥 Volume of rectangles inside rectangles
        • 🎥 Volume of a rectangular prism: word problem
        • 🎥 Cylinder volume & surface area
    • Exponents and powers
      • Powers with negative exponents
        • 🎥 Negative exponents
        • 🎥 Negative exponent intuition
      • Laws of exponents
        • 🎥 Exponent rules intro
        • 🎥 Exponent rules part (composite problems)
        • 🎥 Exponent properties with quotients
        • 🎥 Worked example: Exponent properties
      • Use of Exponents to Express Small Numbers in Standard Form
        • 🎥 Introduction to scientific notation
        • 🎥 Scientific notation examples
        • 🎥 Scientific notation examples
        • 🎥 Scientific notation example: 0.0000000003457
    • Direct and inverse proportions
      • Direct and inverse proportions
        • 🎥 Intro to direct & inverse variation
        • 🎥 Recognizing direct & inverse variation
        • 🎥 Proportionality constant for direct variation
        • 🎥 Direct variation word problem: filling gas
        • 🎥 Direct variation word problem: space travel
    • Factorization
      • Introduction to factorization
        • 🎥 Intro to factors & divisibility
      • Factoring polynomials by taking common factors
        • 🎥 Factoring with the distributive property
        • 🎥 Factoring binomials: common factor
        • 🎥 Factoring polynomials: common factor
        • 🎥 Factoring polynomials: common factor area model
        • 🎥 Factoring polynomials: common binomial factor
      • Factoring quadratics 1
        • 🎥 Factoring quadratics as (x+a)(x+b)
        • 🎥 Factoring quadratics as (x+a)(x+b) (example 2)
        • 🎥 More examples of factoring quadratics as (x+a)(x+b)
      • Factoring quadratics using identities: Difference of squares
        • 🎥 Factoring difference of squares: leading coefficient ≠ 1
        • 🎥 Factoring difference of squares: analyzing factorization
        • 🎥 Factoring difference of squares: missing values
        • 🎥 Factoring difference of squares: shared factors
      • Factoring quadratics using identities: Perfect squares
        • 🎥 Factoring perfect squares
        • 🎥 Identifying perfect square form
        • 🎥 Factoring perfect squares: common factor
        • 🎥 Factoring perfect squares: negative common factor
        • 🎥 Factoring perfect squares: missing values
        • 🎥 Factoring perfect squares: shared factors
      • Factoring quadratics by grouping
        • 🎥 Intro to grouping
        • 🎥 Factoring quadratics by grouping
    • Introduction to graphs
      • Bar graphs and histograms review
        • 🎥 Creating a bar graph
        • 🎥 Reading bar graphs
        • 🎥 Interpreting bar graphs: alligators
        • 🎥 Histograms
        • 🎥 Reading pie graphs (circle graphs)
      • Linear graphs
        • 🎥 Reading line graphs
      • Intro to the coordinate plane
        • 🎥 Coordinate plane: graphing points
      • Coordinate plane word problems
        • 🎥 Coordinate plane graphing word problem
      • Dependent & independent variables
        • 🎥 Dependent & independent variables
        • 🎥 Dependent & independent variables: graphing
        • 🎥 Dependent & independent variables: equation
      • Some applications
        • 🎥 Linear graphs word problems
        • 🎥 Linear graphs word problem: cats
        • 🎥 Linear equations word problems: volcano
        • 🎥 Linear equations word problems: earnings
        • 🎥 Modeling with linear equations: snow
    • Playing with numbers
      • Numbers in general form
        • 🎥 Writing a number in expanded form
        • 🎥 Writing a number in standard form
        • 🎥 Regrouping numbers into various place values
      • Tests of divisibility
        • 🎥 Divisibility tests for 2, 3, 4, 5, 6, 9, 10
        • 🎥 Recognizing divisibility
        • 🎥 The why of the 3 divisibility rule
        • 🎥 The why of the 9 divisibility rule
        • 🎥 Common divisibility examples
  • Math - Indian curriculum
  • 1ère primaire
    • Nombres
      • Plus grand ….plus petit… comparaison de quantités
        • 🎥 Comparing numbers of objects
        • 🎥 Comparing numbers on the number line
      • Les symboles égal ou pas égal
      • L'ordinalité
        • 🎥 Counting in order
      • Dénombrer la quantité 1 à 5
        • 🎥 Counting with small numbers
        • 🎥 Counting in order
        • 🎥 Counting in pictures
        • 🎥 Counting objects 1
        • 🎥 Counting by category
      • Additions et soustractions de 1 à 5
        • 🎥 Intro to addition
        • 🎥 Relating addition and subtraction
        • 🎥 Intro to subtraction
      • Décomposer et recomposer les nombres de 1à 5 (ex : 5 c'est 1+1+3 ou 5 c'est 2 +2+1)
        • 🎥 Making 5
      • Reconnaître et ordonner des quantités jusque 10
        • 🎥 Counting with small numbers
        • 🎥 Counting objects 1
        • 🎥 Counting objects 2
      • Additionner et soustraire jusqu'à 10
        • 🎥 Getting to 10 by filling boxes
        • 🎥 Add and subtract: pieces of fruit
        • 🎥 Addition and subtraction within 10
        • 🎥 Adding to 10
      • L'arbre de 10
        • 🎥 Getting to 10 by filling boxes
      • Découverte de la multiplication
        • 🎥 More ways to multiply
        • 🎥 Ways to represent multiplication
      • Décomposition additive de nombre plus grands que 10
        • 🎥 Adding 7 + 6
        • 🎥 Adding 8 + 7
        • 🎥 Teen numbers: monkeys
      • La découverte de la division
        • 🎥 Intro to division
      • Ordonner des nombres jusque 20
        • 🎥 Teens as sums with 10
      • Additionner soustraire jusque 20
        • 🎥 Subtracting 14 - 6
        • 🎥 Adding 5 + 3 + 6
        • 🎥 Comparison word problems: roly-polies
    • Solides et figures
      • Situer ma position
      • Reconnaitre des figures
        • 🎥 Cousin Fal's shape collection
        • 🎥 Recognizing shapes
    • Grandeurs
      • Comparaison : plus petit, plus grand
        • 🎥 Ordering by length
    • Traitement de données
      • Le tableau à double entrée
        • 🎥 Picture graphs
      • Opérations habillées sur l'addition et la soustraction
        • 🎥 Addition word problems within 10
        • 🎥 Subtraction word problems within 10
        • 🎥 Addition and subtraction word problems: superheroes
        • 🎥 Addition and subtraction word problems: gorillas
        • 🎥 Comparison word problems: marbles
        • 🎥 Repeated addition: haircuts
  • 2ème primaire
    • Nombres
      • Révisions additions
        • 🎥 Adding 1 vs. adding 10
      • Additions de dizaines (D+D)
        • 🎥 Understanding place value when adding tens
      • Comptage par 10
      • Les tables de multiplication de 2 à 9
        • 🎥 Multiplication tables for 2-9
      • Valeur et position des chiffres dans un nombre à 2 chiffres
        • 🎥 Intro to place value
        • 🎥 Number grid
      • Les nombres 25 et 42
        • 🎥 Place value example: 25
        • 🎥 Place value example: 42
      • D + U = DU U +D = DU (sans passage de la dizaine)
        • 🎥 Adding 2-digit numbers without regrouping 2
      • D-U (sans passage de la dizaine)
        • 🎥 Subtracting 1s using place value
      • Du +Du =D
      • DU-DU ou U (avec passage)
        • 🎥 Subtracting a 1-digit number with regrouping
      • DU+U/U+DU/DU+U
      • DU + DU(avec passage)
        • 🎥 Breaking apart 2-digit addition problems
        • 🎥 Regrouping to add 1-digit number
        • 🎥 Adding 53+17 by making a group of 10
        • 🎥 Strategies for adding 2-digit numbers
        • 🎥 Addition and subtraction with number lines
        • 🎥 Adding 2-digit numbers without regrouping 2
        • 🎥 Adding with regrouping
      • DU-DU = D, DU-DU=DU(avec passage)
        • 🎥 Subtracting 1 vs. subtracting 10
        • 🎥 Subtracting 10s using place value
        • 🎥 Subtracting 2-digit numbers without regrouping 1
        • 🎥 Subtracting with regrouping (borrowing)
      • Soustraire avec 2 nombres ou plus
        • 🎥 Subtracting two-digit numbers without regrouping (example 2)
      • Introduction à la multiplication
        • 🎥 Intro to multiplication
        • 🎥 Multiplication as groups of objects
        • 🎥 Basic multiplication
      • Table de 2 de division
      • Table de division
      • Initiation aux fractions
      • Divisions avec reste (ex : 37 : 5 = 7 reste 2)
        • 🎥 Intro to division
      • Classement des nombres jusque 100
        • 🎥 Missing numbers between 0 and 120
    • Solides et figures
      • Reconnaître et comparer des solides
        • 🎥 Cousin Fal's shape collection
        • 🎥 Recognizing shapes
    • Traitement de données
      • Opérations habillées pour l'addition
        • 🎥 Adding and subtracting on number line word problems
        • 🎥 Addition word problem: horses
        • 🎥 Addition word problem: spots
      • Opérations habillées pour la soustraction
        • 🎥 Adding and subtracting on number line word problems
        • 🎥 Subtraction word problem: snow
        • 🎥 Subtraction word problem: tennis balls
        • 🎥 Subtraction word problem: crayons
        • 🎥 Subtraction word problem: basketball
      • Additions ET soustractions habillées
        • 🎥 Addition word problem: starfish
  • 3ème primaire
    • Nombres
      • Révisions signe =
        • 🎥 Equal sign
      • Ecrire et lire les nombres de 0 à 1000
        • 🎥 Comparing whole numbers
        • 🎥 Regrouping whole numbers: 675
        • 🎥 Regrouping whole numbers: 76,830
        • 🎥 Regrouping whole numbers: 430
      • Les classer dans un abaque (CDU et MCDU)
        • 🎥 Comparing whole number place values
      • Situer des nombres de 0 à 100 sur une droite graduée
      • Décomposition des nombres 100 et 1000
      • Multiplier et diviser par 10, 100 et 1000
        • 🎥 Multiplying 1-digit numbers by 10, 100, and 1000
        • 🎥 Place value when multiplying and dividing by 10
      • Addition écrite sans et avec report (nombres à deux et trois chiffres)
        • 🎥 Adding 10 or 100
        • 🎥 Adding 1s, 10s, and 100s
        • 🎥 Adding 3-digit numbers (no regrouping)
        • 🎥 Subtracting 3-digit numbers (no regrouping)
        • 🎥 Adding 3-digit numbers
        • 🎥 Adding with regrouping
        • 🎥 Adding 3-digit numbers with regrouping
        • 🎥 Adding whole numbers by their place values
      • Soustraction écrite (avec emprunt/compensation, nombres à deux et trois chiffres)
        • 🎥 Subtracting 1, 10, or 100
        • 🎥 Subtracting 1s, 10s, and 100s
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping twice)
        • 🎥 Worked example: Subtracting 3-digit numbers (regrouping from 0)
        • 🎥 Missing number for addition and subtraction within 1000
      • Multiplication écrite sans/avec une retenue (multiplicateur à un chiffre)
        • 🎥 Multiplying 2-digit by 1-digit
        • 🎥 Multiplying 3-digit by 1-digit
        • 🎥 Multiplying: 2-digit by 1-digit (regrouping)
        • 🎥 Multiplying 3-digit by 1-digit (regrouping)
        • 🎥 Multiplying 4-digit by 1-digit (regrouping)
        • 🎥 Multiplication word problem: parking lot
      • Division écrite (diviseur à un chiffre)
        • 🎥 Intro to division
      • Calcul mental : addition et soustraction avec compensation
        • 🎥 Skip-counting by 5s
        • 🎥 Missing numbers in addition and subtraction
        • 🎥 Counting by 10s
        • 🎥 Skip-counting by 100s
        • 🎥 Breaking apart 3-digit addition problems
        • 🎥 Solving 3-digit addition in your head
        • 🎥 Addition using groups of 10 and 100
      • Calcul mental : addition et soustraction avec décomposition
        • 🎥 Breaking apart 3-digit addition problems
        • 🎥 Solving 3-digit addition in your head
        • 🎥 Adding and subtracting on number line 2
        • 🎥 Subtracting in your head (no regrouping)
        • 🎥 Alternate mental subtraction method
    • Solides et figures
      • Droite, ½ droite, segment
        • 🎥 Terms & labels in geometry
        • 🎥 Lines, line segments, & rays
      • Droites parallèles, sécantes, perpendiculaires
        • 🎥 Parallel & perpendicular lines intro
        • 🎥 Parallel & perpendicular lines
      • Tracer et mesurer des segments
        • 🎥 Drawing parallel line segments
        • 🎥 Measuring Line Segments
        • 🎥 Congruent line segments
      • Notion d’angle ; angles droits, aigus, obtus
        • 🎥 Angles: introduction
        • 🎥 Naming angles
        • 🎥 Measuring angles in degrees
        • 🎥 Acute, right, & obtuse angles
        • 🎥 Recognizing angles
        • 🎥 Identifying an angle
      • Tracer des angles
        • 🎥 Drawing acute, right and obtuse angles
      • Connaître le vocabulaire (faces, arêtes, sommets) des solides
      • Classement des triangles selon la longueur des côtés et les amplitudes d’angles
        • 🎥 Classifying triangles
        • 🎥 Classifying triangles by angles
        • 🎥 Worked example: Classifying triangles
      • Distinguer les polygones des non polygones
        • 🎥 Cousin Fal's shape collection
        • 🎥 Classifying shapes by line and angles types
        • 🎥 Classifying shapes by lines and angles
        • 🎥 Recognizing shapes
    • Grandeurs
      • Lire les heures et les ½ heures
        • 🎥 Telling time (labeled clock)
        • 🎥 Telling time (unlabeled clock)
      • Mesurer des durées (heures et minutes)
      • Mesurer des longueurs et conversion via abaque (cm, dm, m, dam, hm, km)
        • 🎥 Ordering by length
        • 🎥 Measuring lengths 2
        • 🎥 Measuring lengths with different units
        • 🎥 Estimating lengths
        • 🎥 Length word problems
      • Mesurer des capacités (litre et fractions simples - ½, ¼-du litre, dl, cl)
      • Mesurer des masses (kg, ½ kg, ¼ kg, g, t)
      • Proportionnalité directe simple (multiplier les ingrédients dans une recette ou calculer l’échelle d’un plan ; x 4, : 4, p ex)
        • 🎥 Intro to ratios
        • 🎥 Part:whole ratios
        • 🎥 Solving ratio problems with tables
        • 🎥 Scale drawing: centimeters to kilometers
        • 🎥 Part:whole ratio word problem
    • Traitement de données
      • Dans un problème : sélectionner les informations utiles et organiser ces informations
        • 🎥 Multiplication word problem: parking lot
        • 🎥 Division word problem: school building
      • Manipuler les € dans des achats
        • 🎥 Counting dollars
      • Lecture et construction de graphiques (températures, par exemple)
        • 🎥 Making picture graphs and line plots
      • Lecture d’un tableau à double entrée (programmes TV, par exemple)
        • 🎥 Picture graphs
  • 4ème primaire
    • Nombres
      • Ecrire et lire les nombres jusqu’à 100000
        • 🎥 Regrouping numbers into various place values
        • 🎥 Regrouping whole number place values
        • 🎥 Adding whole numbers by their place values
        • 🎥 Regrouping whole numbers: 675
        • 🎥 Regrouping whole numbers: 76,830
        • 🎥 Finding place value
        • 🎥 Writing a number in standard form
        • 🎥 Writing a number in expanded form
        • 🎥 Comparing place values
        • 🎥 Understanding place value
        • 🎥 Creating the largest number
        • 🎥 Rounding whole numbers to nearest ten
        • 🎥 Rounding whole numbers to nearest hundred
        • 🎥 Rounding whole numbers to nearest thousand
      • Nombres décimaux (jusqu’à deux chiffres après la virgule)
        • 🎥 Intro to decimals
        • 🎥 Write decimal in expanded form
        • 🎥 Writing decimal numbers shown in grids
      • Ecriture décimale des nombres fractionnaires dont le dénominateur est 10 ou 100
        • 🎥 Writing a number as a fraction and decimal
        • 🎥 Rewriting decimals as fractions: 0.15
        • 🎥 Rewriting decimals as fractions: 0.8
        • 🎥 Rewriting decimals as fractions: 0.36
        • 🎥 Converting decimals to fractions 2 (ex 2)
      • Placer des fractions ou des nombres décimaux sur une droite graduée
        • 🎥 Graphing tenths from 0 to 1
        • 🎥 Identifying tenths on a number line
        • 🎥 Plotting decimal numbers on a number line
        • 🎥 Graphing hundredths from 0 to 0.1
        • 🎥 Identifying hundredths on a number line
        • 🎥 Fractions on a number line
        • 🎥 Fractions on number line widget
      • Diviseurs et multiples
      • Critères de divisibilité par 2, 4, 5, 10, 25 et 100
        • 🎥 Divisibility tests for 2, 3, 4, 5, 6, 9, 10
        • 🎥 Recognizing divisibility
        • 🎥 The why of the 3 divisibility rule
        • 🎥 The why of the 9 divisibility rule
        • 🎥 Finding factors of a number
        • 🎥 Finding factors and multiples
      • Addition, soustraction écrites avec des nombres jusqu’à 100000
        • 🎥 Multi-digit addition with regrouping
        • 🎥 Multi-digit subtraction with regrouping: 6798-3359
        • 🎥 Multi-digit subtraction with regrouping: 7329-6278
        • 🎥 Multi-digit subtraction with regrouping twice
      • Multiplication, division écrites avec deuxième facteur à 2 ou 3 chiffres
        • 🎥 Multiplying 2-digit numbers
        • 🎥 Multiplying 2-digit by 2-digit: 36x23
        • 🎥 Multiplying 2-digit by 2-digit: 23x44
        • 🎥 Multiplying multi-digit numbers
        • 🎥 Comparing with multiplication: basics
      • Calcul mental : multiplication avec décomposition
        • 🎥 Multiplying 10s
        • 🎥 Multiplying by multiples of 10
        • 🎥 Multiplying by tens word problem
        • 🎥 Multiplying 1-digit numbers by multiples of 10, 100, and 1000
        • 🎥 Multiplying with distributive property
        • 🎥 Multiplying with area model: 6 x 7981
        • 🎥 Multiplying with area model: 78 x 65
        • 🎥 Multiplying with area model: 16 x 27
      • Commutativité, associativité, distributivité
        • 🎥 Properties of multiplication
        • 🎥 Properties and patterns for multiplication
        • 🎥 Commutative law of addition
        • 🎥 Commutative law of multiplication
        • 🎥 Associative law of addition
        • 🎥 Associative law of multiplication
        • 🎥 Distributive property over addition
        • 🎥 Distributive property over subtraction
    • Solides et figures
      • Caractéristiques des quadrilatères (carré, rectangle, losange, parallélogramme et trapèze)
        • 🎥 Quadrilateral types
        • 🎥 Classifying quadrilaterals
        • 🎥 Kites as a geometric shape
      • Se repérer, se déplacer sur un quadrillage : introduction des coordonnées
        • 🎥 Coordinate plane: graphing points
        • 🎥 Coordinate plane graphing word problem
      • Symétrie orthogonale : l’axe de symétrie d’une figure
        • 🎥 Intro to reflective symmetry
        • 🎥 Identifying symmetrical figures
    • Grandeurs
      • Mesurer des durées (heures, minutes et introduction de la seconde)
      • Utilisation du rapporteur
        • 🎥 Measuring angles in degrees
        • 🎥 Measuring angles using a protractor
        • 🎥 Measuring angles using a protractor 2
        • 🎥 Constructing angles
      • Aire d'un triangle
      • Proportionnalité directe simple : la règle de 3
        • 🎥 Intro to proportional relationships
        • 🎥 Proportional relationships: bananas
        • 🎥 Proportional relationships: movie tickets
      • Fractions inférieures/supérieures à 1
        • 🎥 Identifying numerators and denominators
        • 🎥 Whole numbers as fractions
      • Fraction d’un nombre (Ex : ½ de 8) – multiplier une fraction par un nombre
        • 🎥 Understanding fractions as division
        • 🎥 Creating a fraction through division
      • Fractions équivalentes (suite) : passer d’une fraction réductible à son équivalent irréductible
        • 🎥 Intro to equivalent fractions
        • 🎥 Visualizing equivalent fractions
        • 🎥 More on equivalent fractions
        • 🎥 Equivalent fractions
        • 🎥 Equivalent fractions and different wholes
      • Représentations semi-abstraites des fractions (bandelettes, disque,…)
        • 🎥 Intro to fractions
        • 🎥 More about fractions
        • 🎥 Cutting shapes into equal parts
        • 🎥 Identifying unit fractions word problem
        • 🎥 More than one equal section
        • 🎥 Recognizing fractions greater than 1
        • 🎥 Representing 1 as a fraction
        • 🎥 Whole numbers as fractions
        • 🎥 Equivalent fractions with visuals
        • 🎥 Equivalent fraction models
        • 🎥 Equivalent fraction visually
        • 🎥 Creating equivalent fractions
        • 🎥 Intro to equivalent fractions
        • 🎥 Halves and fourths
        • 🎥 Equal parts of circles and rectangles
      • Addition et soustraction de deux fractions ayant même dénominateur
        • 🎥 Adding fractions (denominators 10 & 100)
      • Introduction aux pourcentages (représentation sur des quadrillages 10 x 10, relation avec fraction ayant un dénominateur égal à 100, calcul de ristournes)
        • 🎥 The meaning of percent
        • 🎥 Meaning of 109%
        • 🎥 Finding a percent
        • 🎥 Percent of a whole number
        • 🎥 Identifying percent amount and base
    • Traitement de données
      • Introduction aux histogrammes et tableaux à double entrée et graphes
        • 🎥 Reading bar graphs: dog bones
        • 🎥 Reading bar graphs: bikes
        • 🎥 Creating picture and bar graphs 1
        • 🎥 Intro to line plots
        • 🎥 Reading pictographs
        • 🎥 Creating a bar graph
        • 🎥 Interpreting bar graphs: alligators
        • 🎥 Reading bar graphs: Harry Potter
        • 🎥 Making picture graphs and line plots
        • 🎥 Reading bar graphs
  • 5ème primaire
    • Nombres
      • Ecriture décimale des nombres fractionnaires
        • 🎥 Convert decimal from expanded form to standard form
        • 🎥 Decimal place value
      • Décomposition d’un nombre en produits de facteurs premiers
        • 🎥 Finding factors of a number
        • 🎥 Finding factors and multiples
      • Critères de divisibilité par 3, 9, 8, 125, 1000
        • 🎥 Divisibility tests for 2, 3, 4, 5, 6, 9, 10
        • 🎥 Recognizing divisibility
        • 🎥 The why of the 3 divisibility rule
        • 🎥 The why of the 9 divisibility rule
        • 🎥 Finding factors of a number
        • 🎥 Finding factors and multiples
      • Comparaison de nombres décimaux
        • 🎥 Comparing decimal numbers on a number line
        • 🎥 Worked example: Rounding decimals to nearest tenth
        • 🎥 Comparing decimals 2
        • 🎥 Comparing decimals 3
        • 🎥 Comparing decimals: 9.97 and 9.798
        • 🎥 Comparing decimals: 156.378 and 156.348
      • Addition, soustraction, multiplication et division écrites avec des nombres décimaux
        • 🎥 Fraction to decimal: 11/25
        • 🎥 Worked example: Converting a fraction (7/8) to a decimal
    • Solides et figures
      • Caractéristiques de l’octogone
    • Grandeurs
      • Comparaison de fractions (même numérateur/même dénominateur)
        • 🎥 Comparing fractions with > and < symbols
        • 🎥 Comparing fractions with like numerators and denominators
    • Traitement de données
      • Introduction aux graphiques circulaires
        • 🎥 Reading pie graphs (circle graphs)
  • 6ème primaire
    • Nombres
      • Priorité des opérations
        • 🎥 Intro to order of operations
        • 🎥 Order of operations example
        • 🎥 Worked example: Order of operations (PEMDAS)
      • Le PGCD et le PPCM
        • 🎥 Distributive property exercise examples
      • Introduction à la notion de division
        • 🎥 The idea of division
        • 🎥 Intro to division
        • 🎥 Ways to represent division
      • Quotients multiples de 10
        • 🎥 Quotients that are multiples of 10
        • 🎥 Canceling zeros when dividing
        • 🎥 Division using place value
        • 🎥 Division with area models
        • 🎥 Intro to long division (no remainders)
        • 🎥 Long division: 280÷5
        • 🎥 Intro to long division (remainders)
      • Introduction à la division avec reste non nul
        • 🎥 Intro to remainders
        • 🎥 Worked example: Long division with remainders: 3771÷8
        • 🎥 Worked example: Long division with remainders: 2292÷4
        • 🎥 Dividing by 2-digits: 6250÷25
        • 🎥 Dividing by 2-digits: 9815÷65
        • 🎥 Dividing by 2-digits: 7182÷42
      • Introduction aux longues divisions
      • Problèmes avec des multiplications ou des divisions
        • 🎥 Multiplication word problem: carrots
        • 🎥 Division word problem: row boat
        • 🎥 Multiplication word problem: pizza
        • 🎥 Division word problem: field goals
        • 🎥 Multiplication, division word problem: pedaling
      • Addition des nombres décimaux
        • 🎥 Adding decimals: 9.087+15.31
        • 🎥 Adding decimals: 0.822+5.65
        • 🎥 Adding three decimals
      • Soustraire des nombres décimaux
        • 🎥 Subtracting decimals: 9.57-8.09
        • 🎥 Subtracting decimals: 10.1-3.93
      • Soustraire des nombres décimaux-Exemple 2
        • 🎥 Subtracting decimals: 9.005 - 3.6
        • 🎥 Subtracting decimals: 39.1 - 0.794
      • Additionner ou soustraire des nombres décimaux dans un exercice concret
        • 🎥 Adding decimals word problem
        • 🎥 Adding & subtracting decimals word problem
      • Multiplier un nombre entier par un nombre décimal
        • 🎥 Intro to multiplying decimals
        • 🎥 Multiplying decimals: place value
      • Poser une multiplication de nombres décimaux
        • 🎥 Multiplying challenging decimals
      • Pousser la division après la virgule
        • 🎥 Dividing whole numbers to get a decimal
      • Exercices : Diviser des nombres décimaux
    • Grandeurs
      • Première approche de la notion d'aire
        • 🎥 Intro to area and unit squares
        • 🎥 More ways to multiply
        • 🎥 Measuring rectangles with different unit squares
        • 🎥 Measuring area with partial unit squares
        • 🎥 Creating rectangles with a given area 1
        • 🎥 Creating rectangles with a given area 2
      • Le périmètre
        • 🎥 Perimeter: introduction
        • 🎥 Perimeter of a shape
        • 🎥 Finding perimeter when a side length is missing
        • 🎥 Finding missing side length when given perimeter
      • L'aire du rectangle
        • 🎥 Counting unit squares to find area formula
        • 🎥 Transitioning from unit squares to area formula
        • 🎥 Finding missing side when given area
        • 🎥 Comparing areas of plots of land
      • Calculs d'aires et distributivité de la multiplication sur l'addition
        • 🎥 Area and the distributive property
        • 🎥 Area word problem: house size
      • Aire et périmètre
        • 🎥 Comparing areas and perimeters of rectangles
        • 🎥 Area & perimeter word problem: table
        • 🎥 Perimeter & area
        • 🎥 Perimeter and unit conversion
        • 🎥 Applying the metric system to perimeter
        • 🎥 Area & perimeter word problem: dog pen
      • Aire d'un triangle
        • 🎥 Area of a triangle
        • 🎥 Area of triangle proof
        • 🎥 Area of equilateral triangle
      • Rayon, diamètre et circonférence d'un cercle
        • 🎥 Radius, diameter, circumference & π
        • 🎥 Labeling parts of a circle
        • 🎥 Area of a circle
      • L'aire d'un étrange quadrilatère
        • 🎥 Area of a quadrilateral on a grid
      • Volume, aire, longueur: comment mesure-t-on ?
        • 🎥 Volume intro
        • 🎥 Measuring volume with unit cubes
        • 🎥 Measuring volume as area times length
        • 🎥 Volume of a rectangular prism
        • 🎥 Volume word problem: water tank
      • Des volumes et des fractions
        • 🎥 Volume with fractional cubes
        • 🎥 Volume of a rectangular prism: fractional dimensions
        • 🎥 Volume of a rectangular prism: word problem
    • Traitement de données
      • Intérêt, taux, capital
        • 🎥 Solving unit rate problem
        • 🎥 Intro to rates
        • 🎥 Solving unit price problem
      • Les différents types de diagrammes - révision