Arithmetic properties
Writing a number in standard form
Writing a number in expanded form
Writing numbers in words and standard form
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 to the nearest 10 on the number line
Rounding whole numbers to nearest ten
Rounding to the nearest 100 on the number line
Rounding whole numbers to nearest hundred
Rounding whole numbers to nearest thousand
Regrouping whole numbers: 675
Regrouping whole numbers: 76,830
Regrouping whole numbers: 430
Intro to order of operations
Order of operations example
Worked example: Order of operations (PEMDAS)
Order of operations (2-step expressions)
Properties of multiplication
Properties and patterns for multiplication
Commutative law of addition
Commutative law of multiplication
Commutative property of multiplication
Associative law of addition
Associative law of multiplication
Associative property of multiplication
Using associative property to simplify multiplication
Inverse property of addition
Inverse property of multiplication
Distributive property over subtraction
Distributive property exercise examples
Distributive property when multiplying
Distributive property over addition
Rational and irrational numbers
Intro to rational & irrational numbers
Classifying numbers: rational & irrational
Divisibility tests for 2, 3, 4, 5, 6, 9, 10
The why of the 3 divisibility rule
The why of the 9 divisibility rule
Finding factors of a number
Finding factors and multiples
Recognizing prime and composite numbers
Prime factorization exercise
Common divisibility examples
Least common multiple: repeating factors
Least common multiple of three numbers
Greatest common factor examples
Greatest common factor explained
Reading and interpreting data
Reading stem and leaf plots
Picture graphs, bar graphs, and histograms
Interpreting bar graphs: alligators
Reading pie graphs (circle graphs)
Frequency tables and dot plots
Frequency tables & dot plots
Comparing dot plots, histograms, and box plots
Factors and multiples: days of the week
Math patterns: toothpicks
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
Measurement
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 word problem: water tank
Measuring volume with unit cubes
Measuring volume as area times length
Volume of a rectangular prism
Cutting shapes into equal parts
Identifying unit fractions word problem
Recognizing fractions greater than 1
Identifying numerators and denominators
Volume of a rectangular prism
Fractions on the number line
Fractions on a number line
Fractions on number line widget
Visualizing equivalent fractions
Equivalent fraction models
More on equivalent fractions
Comparing fractions with > and < symbols
Comparing fractions with like numerators and denominators
Comparing fractions 2 (unlike denominators)
Comparing and ordering fractions
Finding common denominators
Common denominators: 3/5 and 7/2
Common denominators: 1/4 and 5/6
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
Writing mixed numbers as improper fractions
Writing 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 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 mixed number with 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
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
Understanding fractions as division
Creating a fraction through division
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
Place value with decimals
Relating decimals and fractions in words
Write decimal in expanded form
Writing decimal numbers shown in grids
Expressing decimals in multiple forms
Visual understanding of regrouping decimals
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
Thousandths on the number line
Worked example: Rounding decimals to nearest tenth
Rounding decimals on the number line
Comparing decimals: 9.97 and 9.798
Comparing decimals: 156.378 and 156.348
Rewriting decimals as fractions
Writing decimals and fractions greater than 1 shown on grids
Writing decimals and fractions shown on number lines
Writing a number as a fraction and decimal
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
Introduction to adding decimals: tenths
Adding decimals with ones, tenths and hundredths
Adding decimals: 9.087+15.31
More advanced subtraction strategies with hundredths
Subtracting decimals: 39.1 – 0.794
Strategies for subtracting more complex decimals with tenths
Adding & subtracting decimals word problem
Adding and subtracting decimals word problems
Intro to multiplying decimals
Developing strategies for multiplying decimals
Multiplying decimals: place value
Multiplying challenging 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
Intro to negative numbers
Intro to negative numbers
Ordering negative numbers
Negative symbol as opposite
Negative numbers and coordinate plane
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
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
Equivalent ratios: recipe
Equivalent ratio word problems
Understanding equivalent ratios
Solving ratio problems with graph
Ratios and double number lines
Solving ratio problems with tables
Ratios with tape diagrams
Ratios on coordinate plane
Part:whole ratio word problem
Solving unit rate problem
Solving unit price problem
Multiple rates word problem
Finding average speed or rate
Ratios, rates, proportions
Percents from fraction models
Fraction, decimal, and percent from visual model
Converting percents to decimals & fractions example
Ordering numeric expressions
Percent, fraction, decimal conversions
Converting decimals to percents: 0.601
Converting percents to decimals: 113.9%
Percent of a whole number
Identifying percent amount and base
Percent word problem: 100 is what percent of 80?
Percent word problem: 78 is 15% of what number?
Percent word problem: recycling cans
Percent word problem: penguins
Percent word problem: magic club
Rational number word problem: school report
Percent word problems: tax and discount
Identifying constant of proportionality graphically
Constant of proportionality from equation
Constant of proportionality from table (with equations)
Comparing proportionality constants
Interpret proportionality constants
Constant of proportionality
Intro to proportional relationships
Proportional relationships: spaghetti
Proportional relationships
Identifying proportional relationships
Worked example: Solving proportions
Writing proportions example
Proportion word problem: cookies
Writing & solving proportions
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
Equations, expressions, and inequalities
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
Equation word problem: super yoga (2 of 2)
Equation word problem: super yoga (1 of 2)
Inequalities: Greater than and less than basics
Greater than and less than symbols
Inequality word problem: one variable
Plotting an inequality example
2-step estimation word problems
Setting up 2-step word problems
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
1 and -1 to different powers
Comparing exponent expressions
Evaluating exponent expressions with variables
Understanding square roots
Approximating square roots to hundredths
Cube root of a non-perfect cube
Worked example: Cube root of a negative number
Exponent properties with products
Exponent properties with parentheses
Exponent properties with quotients
Negative exponent intuition
Multiplying & dividing powers (integer exponents)
Powers of products & quotients (integer exponents)
Introduction to scientific notation
Scientific notation examples
Scientific notation example: 0.0000000003457
Exponents, radicals, and scientific notation
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