## Grade 8 Math

## CONTENTS

## Number theory

Factors

Divisibility rules

Prime or composite

Prime factorization

Greatest common factor

Least common multiple

GCF and LCM: word problems

Classify numbers

## Integers

Integers on number lines

Graph integers on horizontal and vertical number lines

Absolute value and opposite integers

Compare and order integers

Integer inequalities with absolute values

## Operations with integers

Integer addition and subtraction rules

Add and subtract integers using counters

Add and subtract integers

Add and subtract three or more integers

Add and subtract integers: word problems

Integer multiplication and division rules

Multiply and divide integers

Evaluate numerical expressions involving integers

## Operations with fractions

Write fractions in lowest terms

Least common denominator

Add and subtract fractions with like denominators

Add fractions with unlike denominators

Subtract fractions with unlike denominators

Add and subtract mixed numbers

Inequalities with addition and subtraction of fractions and mixed numbers

Reciprocals and multiplicative inverses

Multiply fractions and whole numbers

Multiply two fractions using models

Multiply fractions

Divide whole numbers by unit fractions using models

Divide whole numbers and unit fractions

Divide fractions

## Rational numbers

Identify rational and irrational numbers

Round decimals and mixed numbers

Absolute value of rational numbers

Convert between decimals and fractions or mixed numbers

Compare rational numbers

Put rational numbers in order

## Operations with rational numbers

Add and subtract rational numbers

Add and subtract rational numbers: word problems

Multiply and divide rational numbers

Multiply and divide rational numbers: word problems

Evaluate numerical expressions involving rational numbers

Apply addition and subtraction rules

Apply multiplication and division rules

Apply addition, subtraction, multiplication and division rules

## Exponents and roots

Understanding exponents

Evaluate exponents

Solve equations with variable exponents

Exponents with negative bases

Exponents with decimal and fractional bases

Square roots of perfect squares

Estimate square roots

Relationship between squares and square roots

Solve equations involving squares and square roots

## Scientific notation

Convert between standard and scientific notation

Compare numbers written in scientific notation

## Ratios, rates and proportions

Understanding ratios

Identify equivalent ratios

Write an equivalent ratio

Equivalent ratios: word problems

Unit rates

Compare ratios: word problems

Solve proportions: word problems

Do the ratios form a proportion?

Do the ratios form a proportion: word problems

Solve proportions

Estimate population size using proportions

Scale drawings: word problems

## Proportional relationships

Find the constant of proportionality from a table

Write equations for proportional relationships from tables

Identify proportional relationships by graphing

Find the constant of proportionality from a graph

Write equations for proportional relationships from graphs

Identify proportional relationships

Graph proportional relationships

Interpret graphs of proportional relationships

Write and solve equations for proportional relationships

## Percents

Convert between percents, fractions and decimals

Compare percents to fractions and decimals

Find what percent one number is of another

Find what percent one number is of another: word problems

Estimate percents of numbers

Percents of numbers and money amounts

Percents of numbers: word problems

Compare percents of numbers

Solve percent equations

Percent of change

Percent of change: word problems

## Consumer math

Price lists

Unit prices

Unit prices: find the total price

Percent of a number: tax, discount and more

Find the percent: tax, discount and more

Sale prices: find the original price

Multi-step problems with percents

Estimate tips

Simple interest

Compound interest

## Units of measurement

Convert rates and measurements: metric units

Metric mixed units

Convert square and cubic units of length

Convert between cubic metres and litres

Precision

## Problem solving

Multi-step word problems

Guess-and-check word problems

Use Venn diagrams to solve problems

Elapsed time word problems

## Coordinate plane

Coordinate plane review

Quadrants and axes

Follow directions on a coordinate plane

Find the distance between two points

## Two-dimensional figures

Identify and classify polygons

Classify triangles

Identify trapezoids

Classify quadrilaterals

Graph triangles and quadrilaterals

Find missing angles in triangles and quadrilaterals

Interior angles of polygons

Identify complementary, supplementary, vertical, adjacent and congruent angles

Find measures of complementary, supplementary, vertical and adjacent angles

Transversal of parallel lines

Find lengths and measures of bisected line segments and angles

Parts of a circle

## Transformations and congruence

Symmetry

Identify reflections, rotations and translations

Translations: graph the image

Translations: find the coordinates

Reflections: graph the image

Reflections: find the coordinates

Rotations: graph the image

Rotations: find the coordinates

Side lengths and angle measures of congruent figures

Congruence statements and corresponding parts

## Transformations and similarity

Similar and congruent figures

Dilations: graph the image

Dilations: find the coordinates

Dilations: scale factor and classification

Side lengths and angle measures of similar figures

## Pythagorean theorem

Pythagorean theorem: find the length of the hypotenuse

Pythagorean theorem: find the missing leg length

Pythagorean theorem: find the perimeter

Pythagorean theorem: word problems

Converse of the Pythagorean theorem: is it a right triangle?

## Three-dimensional figures

Parts of three-dimensional figures

Nets of three-dimensional figures

Front, side and top view

Base plans

Similar solids

## Geometric measurement

Perimeter

Area

Area between two shapes

Area and perimeter: word problems

Circles, semicircles and quarter circles

Circles: word problems

Volume

Surface area of prisms and cylinders

Surface area of pyramids

Volume and surface area of similar solids

Perimeter, area and volume: changes in scale

## Number sequences

Identify arithmetic and geometric sequences

Arithmetic sequences

Geometric sequences

Number sequences: mixed review

Number sequences: word problems

Evaluate variable expressions for number sequences

Write variable expressions for arithmetic sequences

## Expressions and properties

Write variable expressions

Write variable expressions from diagrams

Write variable expressions: word problems

Evaluate one-variable expressions

Evaluate multi-variable expressions

Evaluate absolute value expressions

Evaluate radical expressions

Evaluate rational expressions

Identify terms and coefficients

Sort factors of expressions

Properties of addition and multiplication

Multiply using the distributive property

Simplify variable expressions using properties

Add and subtract like terms

Add, subtract and multiply linear expressions

Factors of linear expressions

Identify equivalent linear expressions

## One-variable equations

Which x satisfies an equation?

Write an equation from words

Model and solve equations using algebra tiles

Write and solve equations that represent diagrams

Properties of equality

Solve one-step equations

Solve two-step equations

Solve equations involving like terms

Solve equations: complete the solution

Solve equations: word problems

## Linear functions

Does (x, y) satisfy the linear function?

Rate of change

Constant rate of change

Complete a table for a linear function

Complete a table and graph a linear function

Graph a line from an equation

Interpret the graph of a linear function: word problems

Write a linear function from a table

Write linear functions: word problems

## Data and graphs

Interpret tables

Interpret bar graphs

Create bar graphs

Interpret line graphs

Create line graphs

Interpret line plots

Create line plots

Interpret stem-and-leaf plots

Create stem-and-leaf plots

Interpret histograms

Create histograms

Create frequency charts

3

Interpret box-and-whisker plots

Scatter plots

Interpret circle graphs

Circle graphs and central angles

Choose the best type of graph

## Statistics

Calculate mean, median, mode and range

Interpret charts to find mean, median, mode and range

Mean, median, mode and range: find the missing number

Changes in mean, median, mode and range

Quartiles

Identify representative, random and biased samples