## Grade 6 Math

## CONTENTS

## Whole numbers

Place values in whole numbers

Word names for numbers

Roman numerals

## Decimals

What decimal number is illustrated?

Decimal place values

Word names for decimal numbers

Put decimal numbers in order

Inequalities with decimals

Round decimals

Round whole numbers and decimals: find the missing digit

Decimal number lines

## Integers

Understanding integers

Integers on number lines

Graph integers on horizontal and vertical number lines

Compare and order integers

## Addition and subtraction

Add and subtract whole numbers up to millions

Add and subtract whole numbers: word problems

Estimate sums and differences of whole numbers

Estimate sums and differences: word problems

Add and subtract decimal numbers

Add and subtract decimals: word problems

Estimate sums and differences of decimals

Maps with decimal distances

## Multiplication

Multiply whole numbers

Multiply whole numbers: word problems

Multiply numbers ending in zeroes

Multiply numbers ending in zeroes: word problems

Multiply three or more numbers

Multiply three or more numbers: word problems

Estimate products

## Division

Divisibility rules

Divide by two-digit numbers

Divide by two-digit numbers: word problems

Division patterns with zeroes

Divide numbers ending in zeroes: word problems

Estimate quotients

## Multiply and divide decimals

Multiply a decimal by a one-digit whole number

Multiply a decimal by a multi-digit whole number

Multiply decimals and whole numbers: word problems

Multiply two decimals using grids

Multiply decimals

Estimate products of decimal numbers

Inequalities with decimal multiplication

Divide decimals by whole numbers

Divide decimals by whole numbers: word problems

Multiply and divide decimals by powers of ten

Division with decimal quotients

Inequalities with decimal division

## Exponents

Write multiplication expressions using exponents

Evaluate exponents

Find the missing exponent or base

Exponents with decimal bases

## Number theory

Prime or composite

Identify factors

Prime factorization

Prime factorization with exponents

Greatest common factor

Least common multiple

GCF and LCM: word problems

## Fractions and mixed numbers

Fractions and mixed numbers review

Understanding fractions: word problems

Equivalent fractions review

Write fractions in lowest terms

Fractions of a group: word problems

Least common denominator

Compare fractions using models

Compare fractions with like and unlike denominators

Compare fractions: word problems

Convert between improper fractions and mixed numbers

Convert between decimals and fractions or mixed numbers

Graph and order fractions on number lines

Order fractions

Put a mix of decimals, fractions and mixed numbers in order

## Add and subtract fractions

1. K.1

Add and subtract fractions with like denominators using number lines

2. K.2

Add and subtract fractions with like denominators

Add and subtract fractions with like denominators: word problems

Inequalities with addition and subtraction of like fractions

Add and subtract mixed numbers with like denominators

Add and subtract mixed numbers with like denominators: word problems

Estimate sums and differences of mixed numbers

## Multiply fractions

Fractions of a number: word problems

Multiply unit fractions by whole numbers using number lines

Multiply unit fractions by whole numbers using models

Multiples of fractions

Multiply fractions by whole numbers using number lines

Multiply fractions by whole numbers using models

Multiply fractions by whole numbers I

Multiply fractions by whole numbers II

Estimate products of fractions and whole numbers

## Mixed operations

Add, subtract, multiply or divide two whole numbers

Add, subtract, multiply or divide two whole numbers: word problems

Evaluate numerical expressions involving whole numbers

Add, subtract, multiply or divide two decimals

Add, subtract, multiply or divide two decimals: word problems

Evaluate numerical expressions involving decimals

Add, subtract or multiply two fractions

Add, subtract or multiply two fractions: word problems

## Rational numbers

Compare rational numbers

Put rational numbers in order

## Problem solving and estimation

Estimate to solve word problems

Multi-step word problems

Word problems with extra or missing information

Guess-and-check word problems

Distance/direction to starting point

Use logical reasoning to find the order

## Ratios and rates

Write a ratio

Write a ratio: word problems

Identify equivalent ratios

Write an equivalent ratio

Ratio tables

Unit rates and equivalent rates

Compare ratios: word problems

Do the ratios form a proportion?

Solve the proportion

Scale drawings: word problems

## Percents

What percentage is illustrated?

Convert between percents, fractions and decimals

Compare percents to each other and to fractions

Compare percents and fractions: word problems

Percents of numbers and money amounts

Percents of numbers: word problems

Find what percent one number is of another

Find what percent one number is of another: word problems

## Units of measurement

Estimate metric measurements

Convert and compare metric units

Metric mixed units

Convert square and cubic units of length

Convert between cubic metres and litres

Compare temperatures above and below zero

## Money

Find the number of each type of coin

Add and subtract money amounts

Add and subtract money amounts: word problems

Multiply money by whole numbers

Multiply money: word problems

Divide money amounts

Divide money amounts: word problems

## Consumer math

Sale prices

Which is the better coupon?

Unit prices

Unit prices with fractions and decimals

Percents – calculate tax, tip, mark-up and more

Simple interest

## Time

Elapsed time

Time units

Find start and end times

Convert between 12-hour and 24-hour time

## Coordinate plane

Objects on a coordinate plane

Graph points on a coordinate plane

Quadrants

Coordinate planes as maps

Follow directions on a coordinate plane

## Expressions and properties

Write variable expressions

Write variable expressions: word problems

Evaluate variable expressions with whole numbers

Evaluate multi-variable expressions

Evaluate variable expressions with decimals

Identify terms and coefficients

Sort factors of expressions

Properties of addition

Properties of multiplication

Solve for a variable using properties of multiplication

Identify equivalent expressions

## One-variable equations

Does x satisfy an equation?

Which x satisfies an equation?

Write an equation from words

Model and solve equations using algebra tiles

Write and solve equations that represent diagrams

Solve one-step equations with whole numbers

Solve one-step equations with decimals

Solve one-step equations: word problems

## Two-variable equations

Does (x, y) satisfy an equation?

Identify independent and dependent variables

Solve word problems involving two-variable equations

Complete a table for a two-variable relationship

Write a two-variable equation

Identify the graph of an equation

## Two-dimensional figures

Identify and classify polygons

Measure angles

Types of angles

Estimate angle measurements

Classify triangles

Identify trapezoids

Classify quadrilaterals

Graph triangles and quadrilaterals

Find missing angles in triangles and quadrilaterals

Sums of angles in polygons

Name angles

Parts of a circle

## Symmetry and transformations

Symmetry

Reflection, rotation and translation

Translations: graph the image

Reflections: graph the image

Rotations: graph the image

Similar and congruent figures

Find side lengths of similar figures

## Three-dimensional figures

Identify polyhedra

Which figure is being described?

Nets of three-dimensional figures

Front, side and top view

## Geometric measurement

Perimeter

Area of squares and rectangles

Area of triangles

Area of parallelograms and trapezoids

Area of compound figures

Area between two rectangles

Area and perimeter of figures on grids

Area and perimeter: word problems

Rectangles: relationship between perimeter and area

Compare area and perimeter of two figures

Volume of cubes and rectangular prisms

Surface area of cubes and rectangular prisms

Volume of triangular prisms

Surface area of triangular prisms

Relate volume and surface area

## Data and graphs

Interpret pictographs

Create pictographs

Interpret stem-and-leaf plots

Create stem-and-leaf plots

Interpret line plots

Create line plots

Create frequency tables

Interpret bar graphs

Create bar graphs

Interpret double bar graphs

Create double bar graphs

Interpret histograms

Create histograms

Circle graphs with fractions

Interpret line graphs

Create line graphs

Interpret double line graphs

Create double line graphs

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

Identify representative, random and biased samples

## Probability

Combinations

Probability of one event

Make predictions

Probability of opposite, mutually exclusive and overlapping events

Compound events – find the number of outcomes by counting