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

## Operations with fractions

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

## Rational numbers

## Operations with rational numbers

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

## Exponents and roots

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

## Scientific notation

## Ratios, rates and proportions

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

## Proportional relationships

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

## Percents

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

## Consumer math

## Units of measurement

## Problem solving

## Coordinate plane

## Two-dimensional figures

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

## Transformations and congruence

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

## Transformations and similarity

## Three-dimensional figures

## Geometric measurement

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

## Number sequences

## Expressions and properties

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

## One-variable equations

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

## Linear functions

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

## Data and graphs

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