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