# Grade 8 math

Here is a list of all of the math skills students learn in grade 8! These skills are organized into categories, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Number theory

## Integers

## Operations with integers

- C.1 Integer addition and subtraction rules
- C.2 Add and subtract integers using counters
- C.3 Add and subtract integers
- C.4 Add and subtract three or more integers
- C.5 Add and subtract integers: word problems
- C.6 Integer multiplication and division rules
- C.7 Multiply and divide integers
- C.8 Evaluate numerical expressions involving integers

## Operations with fractions

- D.1 Write fractions in lowest terms
- D.2 Least common denominator
- D.3 Add and subtract fractions with like denominators
- D.4 Add fractions with unlike denominators
- D.5 Subtract fractions with unlike denominators
- D.6 Add and subtract mixed numbers
- D.7 Inequalities with addition and subtraction of fractions and mixed numbers
- D.8 Reciprocals and multiplicative inverses
- D.9 Multiply fractions and whole numbers
- D.10 Multiply two fractions using models
- D.11 Multiply fractions
- D.12 Divide whole numbers by unit fractions using models
- D.13 Divide whole numbers and unit fractions
- D.14 Divide fractions

## Rational numbers

## Operations with rational numbers

- F.1 Add and subtract rational numbers
- F.2 Add and subtract rational numbers: word problems
- F.3 Multiply and divide rational numbers
- F.4 Multiply and divide rational numbers: word problems
- F.5 Evaluate numerical expressions involving rational numbers
- F.6 Apply addition and subtraction rules
- F.7 Apply multiplication and division rules
- F.8 Apply addition, subtraction, multiplication and division rules

## Exponents and roots

- G.1 Understanding exponents
- G.2 Evaluate exponents
- G.3 Solve equations with variable exponents
- G.4 Exponents with negative bases
- G.5 Exponents with decimal and fractional bases
- G.6 Square roots of perfect squares
- G.7 Estimate square roots
- G.8 Relationship between squares and square roots
- G.9 Solve equations involving squares and square roots

## Scientific notation

## Ratios, rates and proportions

- I.1 Understanding ratios
- I.2 Identify equivalent ratios
- I.3 Write an equivalent ratio
- I.4 Equivalent ratios: word problems
- I.5 Unit rates
- I.6 Compare ratios: word problems
- I.7 Solve proportions: word problems
- I.8 Do the ratios form a proportion?
- I.9 Do the ratios form a proportion: word problems
- I.10 Solve proportions
- I.11 Estimate population size using proportions
- I.12 Scale drawings: word problems

## Proportional relationships

- J.1 Find the constant of proportionality from a table
- J.2 Write equations for proportional relationships from tables
- J.3 Identify proportional relationships by graphing
- J.4 Find the constant of proportionality from a graph
- J.5 Write equations for proportional relationships from graphs
- J.6 Identify proportional relationships
- J.7 Graph proportional relationships
- J.8 Interpret graphs of proportional relationships
- J.9 Write and solve equations for proportional relationships

## Percents

- K.1 Convert between percents, fractions and decimals
- K.2 Compare percents to fractions and decimals
- K.3 Find what percent one number is of another
- K.4 Find what percent one number is of another: word problems
- K.5 Estimate percents of numbers
- K.6 Percents of numbers and money amounts
- K.7 Percents of numbers: word problems
- K.8 Compare percents of numbers
- K.9 Solve percent equations
- K.10 Percent of change
- K.11 Percent of change: word problems

## Consumer math

- L.1 Price lists
- L.2 Unit prices
- L.3 Unit prices: find the total price
- L.4 Percent of a number: tax, discount and more
- L.5 Find the percent: tax, discount and more
- L.6 Sale prices: find the original price
- L.7 Multi-step problems with percents
- L.8 Estimate tips
- L.9 Simple interest
- L.10 Compound interest

## Units of measurement

## Problem solving

## Coordinate plane

## Two-dimensional figures

- P.1 Identify and classify polygons
- P.2 Classify triangles
- P.3 Identify trapezoids
- P.4 Classify quadrilaterals
- P.5 Graph triangles and quadrilaterals
- P.6 Find missing angles in triangles and quadrilaterals
- P.7 Interior angles of polygons
- P.8 Identify complementary, supplementary, vertical, adjacent and congruent angles
- P.9 Find measures of complementary, supplementary, vertical and adjacent angles
- P.10 Transversal of parallel lines
- P.11 Find lengths and measures of bisected line segments and angles
- P.12 Parts of a circle

## Transformations and congruence

- Q.1 Symmetry
- Q.2 Identify reflections, rotations and translations
- Q.3 Translations: graph the image
- Q.4 Translations: find the coordinates
- Q.5 Reflections: graph the image
- Q.6 Reflections: find the coordinates
- Q.7 Rotations: graph the image
- Q.8 Rotations: find the coordinates
- Q.9 Side lengths and angle measures of congruent figures
- Q.10 Congruence statements and corresponding parts

## Transformations and similarity

## Three-dimensional figures

## Geometric measurement

- U.1 Perimeter
- U.2 Area
- U.3 Area between two shapes
- U.4 Area and perimeter: word problems
- U.5 Circles, semicircles and quarter circles
- U.6 Circles: word problems
- U.7 Volume
- U.8 Surface area of prisms and cylinders
- U.9 Surface area of pyramids
- U.10 Volume and surface area of similar solids
- U.11 Perimeter, area and volume: changes in scale

## Number sequences

## Expressions and properties

- W.1 Write variable expressions
- W.2 Write variable expressions from diagrams
- W.3 Write variable expressions: word problems
- W.4 Evaluate one-variable expressions
- W.5 Evaluate multi-variable expressions
- W.6 Evaluate absolute value expressions
- W.7 Evaluate radical expressions
- W.8 Evaluate rational expressions
- W.9 Identify terms and coefficients
- W.10 Sort factors of expressions
- W.11 Properties of addition and multiplication
- W.12 Multiply using the distributive property
- W.13 Simplify variable expressions using properties
- W.14 Add and subtract like terms
- W.15 Add, subtract and multiply linear expressions
- W.16 Factors of linear expressions
- W.17 Identify equivalent linear expressions

## One-variable equations

- X.1 Which x satisfies an equation?
- X.2 Write an equation from words
- X.3 Model and solve equations using algebra tiles
- X.4 Write and solve equations that represent diagrams
- X.5 Properties of equality
- X.6 Solve one-step equations
- X.7 Solve two-step equations
- X.8 Solve equations involving like terms
- X.9 Solve equations: complete the solution
- X.10 Solve equations: word problems

## Linear functions

- Y.1 Does (x, y) satisfy the linear function?
- Y.2 Rate of change
- Y.3 Constant rate of change
- Y.4 Complete a table for a linear function
- Y.5 Complete a table and graph a linear function
- Y.6 Graph a line from an equation
- Y.7 Interpret the graph of a linear function: word problems
- Y.8 Write a linear function from a table
- Y.9 Write linear functions: word problems

## Data and graphs

- Z.1 Interpret tables
- Z.2 Interpret bar graphs
- Z.3 Create bar graphs
- Z.4 Interpret line graphs
- Z.5 Create line graphs
- Z.6 Interpret line plots
- Z.7 Create line plots
- Z.8 Interpret stem-and-leaf plots
- Z.9 Interpret histograms
- Z.10 Create histograms
- Z.11 Create frequency charts
- Z.12 Interpret box-and-whisker plots
- Z.13 Scatter plots
- Z.14 Interpret circle graphs
- Z.15 Circle graphs and central angles
- Z.16 Choose the best type of graph