# 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 expressions involving integers

## Rational numbers

## Operations with rational numbers

- E.1Reciprocals and multiplicative inverses
- E.2Add and subtract rational numbers
- E.3Add and subtract rational numbers: word problems
- E.4Apply addition and subtraction rules
- E.5Multiply and divide rational numbers
- E.6Multiply and divide rational numbers: word problems
- E.7Apply multiplication and division rules
- E.8Apply addition, subtraction, multiplication and division rules
- E.9Evaluate expressions involving rational numbers

## Exponents and roots

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

## Scientific notation

## Ratios and proportions

- H.1Understanding ratios
- H.2Equivalent ratios
- H.3Equivalent ratios: word problems
- H.4Compare ratios: word problems
- H.5Unit rates
- H.6Do the ratios form a proportion?
- H.7Do the ratios form a proportion: word problems
- H.8Solve proportions
- H.9Solve proportions: word problems
- H.10Estimate population size using proportions
- H.11Scale drawings and scale factors

## Proportional relationships

- I.1Find the constant of proportionality from a table
- I.2Identify graphs of proportional relationships
- I.3Find the constant of proportionality from a graph
- I.4Write equations for proportional relationships
- I.5Graph proportional relationships
- I.6Identify proportional relationships
- I.7Find the constant of proportionality: word problems
- I.8Solve problems involving proportional relationships

## Percents

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

## Consumer math

## Measurement

## Problem solving

## Geometry

- N.1Identify complementary, supplementary, vertical, adjacent and congruent angles
- N.2Find measures of complementary, supplementary, vertical and adjacent angles
- N.3Transversal of parallel lines
- N.4Classify triangles
- N.5Classify quadrilaterals
- N.6Find missing angles in triangles and quadrilaterals
- N.7Identify and classify polygons
- N.8Interior angles of polygons
- N.9Similar and congruent figures
- N.10Similar figures: side lengths and angle measures
- N.11Congruent figures: side lengths and angle measures
- N.12Congruence statements and corresponding parts
- N.13Perimeter
- N.14Area
- N.15Area between two shapes
- N.16Area and perimeter: word problems
- N.17Parts of a circle
- N.18Circles, semicircles and quarter circles
- N.19Circles: word problems
- N.20Find lengths and measures of bisected lines and angles
- N.21Front, side and top view
- N.22Base plans
- N.23Names and parts of 3-dimensional figures
- N.24Nets of 3-dimensional figures
- N.25Surface area of prisms and cylinders
- N.26Surface area of pyramids
- N.27Volume
- N.28Similar solids
- N.29Volume and surface area of similar solids
- N.30Perimeter, area and volume: changes in scale

## Pythagorean theorem

## Transformations

- Q.1Identify reflections, rotations and translations
- Q.2Translations: graph the image
- Q.3Translations: find the coordinates
- Q.4Reflections: graph the image
- Q.5Reflections: find the coordinates
- Q.6Rotations: graph the image
- Q.7Rotations: find the coordinates
- Q.8Dilations: graph the image
- Q.9Dilations: find the coordinates
- Q.10Dilations: scale factor and classification
- Q.11Symmetry

## Number sequences

## Variable expressions

- S.1Write variable expressions
- S.2Write variable expressions from diagrams
- S.3Write variable expressions: word problems
- S.4Evaluate one-variable expressions
- S.5Evaluate multi-variable expressions
- S.6Evaluate absolute value expressions
- S.7Evaluate radical expressions
- S.8Evaluate rational expressions
- S.9Identify terms and coefficients
- S.10Add and subtract like terms
- S.11Add, subtract, and multiply linear expressions
- S.12Factor linear expressions
- S.13Identify equivalent linear expressions

## Properties

## One-variable equations

## Linear functions

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

## Data and graphs

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