Changes to Illustrative Mathematics 6th, 7th, 8th grade courses - Summer 2025
Opdateret
Revisions were made to the 6th, 7th, and 8th grade courses.
Mastery impact
The revisions included the addition and deletion of content which increased the total number of skills in each course, which in turn could lower a user's mastery percentage.
| Illustrative Math Grade | Max mastery% decrease |
| 6 | 7.8 |
| 7 | 10.6 |
| 8 | 7.3 |
Course deletion/additions
The following deletions/additions to each course were made in the Summer of 2025.
6th Grade deletions
| Type | Title |
| Video | Intro to multiplying decimals |
| Video | Negative numbers, variables, number line |
| Video | Writing fraction division story problems |
| Video | One-step multiplication equations: fractional coefficients |
| Video | Recognizing common 3D shapes |
| Video | Rate problems |
| Video | Volume of a rectangular prism: word problem |
| Video | Understanding division of fractions |
| Video | Least common multiple of three numbers |
| Video | Impact on median & mean: increasing an outlier |
| Video | Volume with fractional cubes |
| Video | Area of a parallelogram on the coordinate plane |
| Video | Dividing a decimal by a whole number |
| Video | Testing solutions to equations |
| Video | One-step multiplication & division equations: fractions & decimals |
| Video | Dividing fractions: 2/5 ÷ 7/3 |
| Video | Exponents of decimals |
| Video | Area of a triangle |
| Video | Surface area of a box using nets |
| Video | Impact on median & mean: removing an outlier |
| Video | Negative symbol as opposite |
| Video | Percent of a whole number |
| Exercise | Divide decimals by whole numbers visually |
| Exercise | Multi-digit division |
| Exercise | Expressions to find surface area |
| Exercise | Understand equivalent ratios in the real world |
| Exercise | Equivalent representations of percent problems |
| Exercise | Powers of fractions & decimals |
| Exercise | Order of operations |
| Exercise | Interpret fraction division |
| Exercise | Effects of shifting, adding, & removing a data point |
| Exercise | Volume by multiplying area of base times height |
| Exercise | Negative numbers on the number line |
| Exercise | Order of operations with fractions and exponents |
| Exercise | Area and perimeter on the coordinate plane |
| Exercise | Interpreting negative numbers (temperature and elevation) |
| Exercise | Estimate center using histograms |
| Exercise | Equivalent ratios in the real world |
| Exercise | Identify geometric solids (3D shapes) |
| Exercise | Area of triangles |
| Exercise | Surface area |
| Exercise | Basic ratios |
| Article | Squaring numbers |
| Article | Mean as the balancing point |
6th Grade additions
| Type | Title |
| Video | Finding common percentages |
| Video | Greatest common factor examples |
| Video | Testing solutions to absolute value inequalities |
| Video | Part to whole ratio word problem using tables |
| Video | Powers of zero |
| Video | Dividing a fraction by a whole number |
| Video | Plotting inequalities |
| Video | Ratios with tape diagrams (part:whole) |
| Video | Partial quotient method of division: example using very large numbers |
| Video | Multiplication word problem: pizza |
| Video | Meaning of absolute value |
| Video | Analyzing relationships between variables |
| Video | Identifying multiples |
| Video | Reasoning about factors and multiples |
| Video | Solving two-step word problems involving adding and subtracting decimals |
| Video | Adding decimals word problem |
| Video | Finding percentages with a double number line |
| Video | Clusters, gaps, peaks & outliers |
| Video | Meaning of 109% |
| Video | Solving two-step word problems with decimals (adding and subtracting) |
| Video | Combining like terms |
| Video | Introduction to adding decimals: tenths |
| Video | Compare rational numbers using a number line |
| Video | Multiplying fractions word problem: laundry |
| Video | Coordinate plane word problem examples |
| Video | Ratios and double number lines |
| Video | More advanced subtraction strategies with hundredths |
| Video | Adding & subtracting decimals word problem |
| Video | One-step addition & subtraction equations |
| Video | Drawing a quadrilateral on the coordinate plane example |
| Video | Least common multiple: repeating factors |
| Video | Finding factors of a number |
| Video | Writing equations for relationships between quantities |
| Video | One-step multiplication & division equations: fractions & decimals |
| Video | Dependent & independent variables: graphing |
| Video | GCF & LCM word problems |
| Video | Dependent & independent variables: equation |
| Video | Coordinates of rectangle example |
| Video | Distributive property with variables |
| Video | Combining like terms example |
| Video | One-step division equations |
| Video | Simplify a ratio from a tape diagram |
| Video | Numerical inequality word problems |
| Video | Estimating multi-digit division |
| Video | Worked example: Creating a box plot (even number of data points) |
| Video | Intro to area and unit squares |
| Video | Division word problem: field goals |
| Video | Solving ratio problems with tables |
| Video | Representing data |
| Video | The meaning of percent |
| Video | Dividing fractions: 3/5 ÷ 1/2 |
| Video | Worked example: Creating a box plot (odd number of data points) |
| Video | Finding percentages with a double number line |
| Video | Plotting a point (ordered pair) |
| Video | Creating rectangles with a given area 1 |
| Video | Dividing fractions and whole number word problems |
| Video | Intro to combining like terms |
| Video | Ways to rewrite a percentage |
| Video | Least common multiple |
| Video | Multiplying decimals word problems |
| Video | Intro to rates |
| Video | Mean absolute deviation (MAD) |
| Video | Testing solutions to inequalities |
| Video | Absolute value examples |
| Video | Dividing a unit fraction by a whole number |
| Video | Multiplication and division relationship for fractions |
| Video | Dividing whole numbers & fractions: t-shirts |
| Video | Creating rectangles with a given area 2 |
| Video | Dividing mixed numbers |
| Video | Multiplying decimals two-step word problems |
| Video | Multiplying fractions word problem: muffins |
| Video | Shapes of distributions |
| Video | Introduction to negative numbers |
| Video | Part:whole ratios |
| Exercise | Intro to percents |
| Exercise | Identify factors |
| Exercise | Create rectangles with a given area |
| Exercise | Negative decimals on the number line |
| Exercise | Dividing unit fractions by whole numbers |
| Exercise | Multiply decimals word problems |
| Exercise | Solve two-step word problems involving adding and subtracting decimals |
| Exercise | Shape of distributions |
| Exercise | Relate fraction division to fraction multiplication |
| Exercise | Divide fractions by whole numbers |
| Exercise | Distributive property |
| Exercise | Multiplication and division word problems |
| Exercise | Powers of fractions and decimals |
| Exercise | Factor with distributive property (variables) |
| Exercise | Model with one-step equations and solve |
| Exercise | Volume with cubes with fraction lengths |
| Exercise | Translate one-step equations and solve |
| Exercise | Multiply 3- and 4-digits by 1-digit with distributive property |
| Exercise | Understand division of fractions |
| Exercise | Divide fractions and whole numbers word problems |
| Exercise | Divide fractions and whole numbers word problems |
| Exercise | Understanding dividing fractions by fractions |
| Exercise | Multiply decimals two-step word problems |
| Exercise | Dividing unit fractions by whole numbers visually |
| Exercise | Estimate multi-digit division problems |
| Exercise | Negative decimals on the number line |
| Exercise | Identify multiples |
| Exercise | Understand area |
| Exercise | Inequality from graph |
| Exercise | Plotting inequalities |
| Exercise | Match equations to coordinates on a graph |
| Article | Anchoring units of measurement |
| Article | Finding the percentage |
| Article | Equivalent ratios have the same unit rates |
| Article | More about constant speed (optional) |
| Article | Converting units |
| Article | Using negative numbers to make sense of contexts |
| Article | Interpreting inequalities |
| Article | Interpreting points on a coordinate plane |
| Article | Color mixtures |
| Article | Constant speed |
| Article | Graphing inequalities review |
| Article | Constructing a coordinate plane |
| Article | Graphing coordinates review |
| Article | Intro to negative numbers |
| Article | How much for one? |
| Article | From parallelograms to triangles |
| Article | Writing anf graphing inequalities |
| Article | Converting percents and fractions review |
| Article | Absolute value review |
| Article | Introducing double number line diagrams |
| Article | Painting a room |
| Article | Area of triangles |
| Article | Squares and cubes |
| Article | Bases and heights of parallelograms |
| Article | Measuring with different size units |
| Article | Using fractions to multiply decimals |
| Article | Using base-ten diagrams to divide (optional) |
| Article | Comparing situations by examining ratios |
| Article | Got data? |
| Article | Using box plots |
| Article | Describing distributions on histograms |
| Article | Comparing mean and median |
| Article | Using mean and MAD to make comparisons |
| Article | Reasoning to find area |
| Article | Volume of prisms |
| Article | Solving problems involving fractions (optional) |
| Article | One-step addition & subtraction equations |
| Article | Equal and equivalent |
| Article | One-step multiplication & division equations |
| Article | Representing ratios with tables |
| Article | Evaluating expressions with variables word problems |
| Article | Fitting boxes into boxes |
| Article | Squaring numbers |
| Article | Exponents review |
| Article | Two related quantities, part 2 |
| Article | Evaluating expressions with exponents |
| Article | More relationships (optional) |
| Article | Polygons review |
| Article | Interpreting rates |
7th Grade deletions
| Type | Title |
| Video | Simple probability: yellow marble |
| Exercise | Adding & subtracting negative numbers |
7th Grade additions
| Type | Title |
| Video | Equivalent expressions with negative numbers (multiplication and division) |
| Video | Proportion word problem: cookies |
| Video | Equivalent ratios: recipe |
| Video | Proportional relationships |
| Video | Ratios and double number lines |
| Video | Converting decimals to percents: 1.501 |
| Video | Making a scale drawing |
| Video | Two-step inequality word problem: apples |
| Video | Modeling with one-step equations |
| Video | Corresponding points and sides of scaled shapes |
| Video | Mean absolute deviation (MAD) |
| Video | Converting percents to decimals: 59.2% |
| Video | Rates with fractions |
| Video | Solving percent problems |
| Video | Proportion word problem: hot dogs |
| Video | Identifying values in scale copies |
| Video | Surface area using a net: rectangular prism |
| Video | Introduction to negative numbers |
| Video | Measuring volume with unit cubes |
| Video | Find measure of vertical angles |
| Video | Relating circumference and area |
| Video | Identifying an angle |
| Video | Solving percent problems |
| Video | Worked example: Solving proportions |
| Video | Number opposites |
| Video | Find measure of angles word problem |
| Video | Converting a fraction to a repeating decimal |
| Video | Negative number word problem: temperatures |
| Exercise | Identify equations from visual models (hanger diagrams) |
| Exercise | Surface area |
| Exercise | Mean absolute deviation (MAD) |
| Exercise | Inequality from graph |
| Exercise | Surface area using nets |
| Exercise | Convert decimals to percents |
| Exercise | The counting principle |
| Exercise | Number opposites |
| Exercise | Equivalent ratio word problems |
| Exercise | Ratios with double number lines |
| Exercise | Model with one-step equations |
| Exercise | Convert percents to decimals |
| Article | Sampling in a fair way |
| Article | Percent error |
| Article | Increasing or decreasing |
| Article | Interpreting inequalities |
| Article | Relationships between quantities |
| Article | Solve multi-step percentage problems |
| Article | Reasoning about equations and tape diagrams (part 2) |
| Article | Solving for unknown angles |
| Article | Units in scale drawings |
| Article | Reasoning about solving equations (part 1) |
| Article | Lots of flags |
| Article | More than that, less than that |
| Article | Reasoning about contexts with tape diagrams |
| Article | Reasoning about equations with tape diagrams |
| Article | Measurement error |
| Article | Building polygons (part 1) |
| Article | Surface area versus volume |
| Article | Simulating multi-step experiments |
| Article | Exploring the area of a circle |
| Article | Drawing triangles (part 2) |
| Article | Scale drawings and maps (optional) |
| Article | Triangles with 3 common measures |
| Article | Scaled relationships |
| Article | Comparing relationship with equations |
| Article | Area of a circle |
| Article | More about sampling variability |
| Article | Comparing populations using samples |
| Article | Mystery bags |
| Article | Estimating area |
| Article | Designing simulations |
| Article | Comparing populations with friends |
| Article | Estimating population measures of center |
| Article | Larger populations |
| Article | Changing scales in scale drawings |
| Article | Solving problems about proportional relationships |
| Article | How well can you measure? |
| Article | Multiplying rational numbers (part 1) |
| Article | Estimating probabilities using simulation |
| Article | Drawing triangles (part 1) |
| Article | Decomposing bases for area |
8th Grade deletions
| Type | Title |
| Video | Exponent properties with parentheses |
| Video | The 0 & 1st power |
| Video | Another Pythagorean theorem proof |
| Video | Linear functions word problem: fuel |
| Video | Comparing linear functions word problem: climb |
| Video | Scientific notation word problem: U.S. national debt |
| Video | Equation practice with vertical angles |
| Video | Multiplying in scientific notation example |
| Video | Approximating with powers of 10 |
| Video | Multiplying multiples of powers of 10 |
| Video | Comparing linear functions word problem: work |
| Video | Bhaskara's proof of the Pythagorean theorem |
| Video | Worked example: intercepts from an equation |
| Video | Linear functions word problem: pool |
| Video | Multiplying & dividing powers (integer exponents) |
| Video | Pythagorean theorem proof using similarity |
| Video | Equation practice with complementary angles |
| Video | Equation practice with supplementary angles |
| Exercise | Comparing linear functions word problems |
| Exercise | Compare linear functions |
| Exercise | Approximating with powers of 10 |
| Exercise | Multiplication and division with powers of ten |
| Exercise | Equation practice with angle addition |
| Exercise | Graphing linear relationships word problems |
| Exercise | Equation practice with vertical angles |
| Exercise | Distance between two points |
| Exercise | Approximating square roots |
| Article | Graphing slope-intercept form |
8th Grade additions
| Type | Title |
| Video | Intro to the coordinate plane |
| Video | Slope-intercept form from a table |
| Video | Equation with variables on both sides: fractions |
| Video | Does a vertical line represent a function? |
| Video | Determining rotations |
| Video | Pythagorean theorem with isosceles triangle |
| Video | Square root of decimal |
| Video | Worked example: Evaluating functions from graph |
| Video | Function notation example |
| Video | Linear equations word problems: volcano |
| Video | Coordinate plane graphing word problem |
| Video | Slope-intercept form problems |
| Video | Obtaining a function from an equation |
| Video | Use Pythagorean theorem to find area of an isosceles triangle |
| Video | Checking if an equation represents a function |
| Video | Linear graphs word problems |
| Video | Slope & direction of a line |
| Video | Converting repeating decimals to fractions (part 2 of 2) |
| Video | Multiplying three numbers in scientific notation |
| Video | Intercepts from a table |
| Video | Worked example: Cube root of a negative number |
| Video | Estimating with linear regression (linear models) |
| Video | Distance formula |
| Video | Testing if a relationship is a function |
| Video | Same thing to both sides of equations |
| Video | Intro to square roots |
| Video | Slope from equation |
| Video | Worked example: Evaluating functions from equation |
| Video | Converting repeating decimals to fractions (part 1 of 2) |
| Video | Interpreting plotted points |
| Video | Exploring scale copies |
| Video | Checking if a table represents a function |
| Video | Recognizing linear functions |
| Video | Intro to exponents |
| Video | Exponent properties with products |
| Video | Recognizing functions from table |
| Video | Negative exponents |
| Video | Powers of zero |
| Video | Powers of products & quotients (integer exponents) |
| Video | Subtracting in scientific notation |
| Video | Exponent properties with parentheses |
| Video | Intro to two-step equations |
| Video | Relations and functions |
| Video | Pythagorean theorem in 3D |
| Video | Equations vs. functions |
| Video | Rotating points |
| Video | Rotating points |
| Video | What is a function? |
| Video | Recognizing functions from verbal description word problems |
| Video | Recognizing functions from verbal description |
| Video | Intro to cube roots |
| Video | Interpreting two-way tables |
| Video | Multiplying & dividing powers (integer exponents) |
| Exercise | Powers of products & quotients (integer exponents) |
| Exercise | Coordinate plane word problems (quadrant 1) |
| Exercise | Use Pythagorean theorem to find isosceles triangle side lengths |
| Exercise | Slope from equation |
| Exercise | Meaning of exponents |
| Exercise | Explore scale copies |
| Exercise | Use Pythagorean theorem to find area |
| Exercise | Approximating square roots |
| Exercise | Distance between two points |
| Article | Slope formula |
| Article | Negative exponents review |
| Article | Solving equations with one unknown: FAQ |
| Article | Exponents review |
| Article | Intro to exponents |
| Article | Slope review |
| Article | Square roots review |
| Article | Distance formula review |
| Article | Distance formula |
| Article | Cube roots review |