## Grade 5 Math

## CONTENTS

## Place values and number sense

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Convert between place values

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Compare numbers up to millions

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Word names for numbers

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Roman numerals

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Rounding

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Even or odd: arithmetic rules

## Addition and subtraction

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Add and subtract whole numbers: word problems

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Complete addition and subtraction sentences

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Fill in the missing digits

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Choose numbers with a particular sum or difference

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Properties of addition

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Inequalities with addition and subtraction

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Estimate sums and differences of whole numbers

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Estimate sums and differences: word problems

## Multiplication

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Multiply by one-digit numbers: word problems

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Multiplication patterns over increasing place values

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Multiply numbers ending in zeroes

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Multiply numbers ending in zeroes: word problems

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Properties of multiplication

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Choose numbers with a particular product

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Estimate products

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Estimate products: word problems

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Box multiplication

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Lattice multiplication

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Multiply by 2-digit numbers: complete the missing steps

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Multiply 2-digit numbers by 2-digit numbers

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Multiply by 2-digit numbers: word problems

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Multiply three or four numbers

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Multiply three or four numbers: word problems

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Multiply 3-digit by 2-digit numbers

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Multiply 3-digit by 2-digit numbers: word problems

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Inequalities with multiplication

## Division

Division facts to 12

Division facts to 12: word problems

Divide by one-digit numbers

Divide by one-digit numbers: word problems

Divide by one-digit numbers: interpret remainders

Estimate quotients

Estimate quotients: word problems

Division patterns over increasing place values

Divide numbers ending in zeroes

Divide numbers ending in zeroes: word problems

Choose numbers with a particular quotient

Divide by two-digit numbers

Divide by two-digit numbers: word problems

## Number theory

Prime and composite numbers

Prime factorization

Divisibility rules

Divisibility rules: word problems

Greatest common factor

Least common multiple

## Decimals

What decimal number is illustrated?

Model decimals and fractions

Understanding decimals expressed in words

Place values in decimal numbers

Convert decimals between standard and expanded form

Equivalent decimals

Round decimals

Decimal number lines

Compare decimals on number lines

Compare decimal numbers

Put decimal numbers in order

Convert fractions to decimals

Convert decimals to fractions

Convert decimals between standard and expanded form using fractions

Compare decimals and fractions on number lines

Compare decimals and fractions

Put assorted decimals, fractions and mixed numbers in order

## Add and subtract decimals

Add and subtract decimal numbers

Add and subtract decimals: word problems

Choose decimals with a particular sum or difference

Complete the addition or subtraction sentence

Inequalities with decimal addition and subtraction

Estimate sums and differences of decimals

## Multiply and divide decimals

Estimate products of decimals

Multiply a decimal by a power of ten

Multiply decimals and whole numbers

Multiply decimals and whole numbers: word problems

Inequalities with decimal multiplication

Divide by powers of ten

Decimal division patterns over increasing place values

## Money

Add and subtract money amounts

Add and subtract money: word problems

Multiply money amounts: word problems

Multiply money amounts with decimals: word problems

Divide money amounts with decimals: word problems

## Fractions and mixed numbers

Show fractions: fraction bars

Show fractions: area models

Fractions review

Fractions of a whole: word problems

Fractions of a group: word problems

Mixed numbers

Fractions of a number

Fractions of a number: word problems

Arithmetic sequences with fractions

Geometric sequences with fractions

Round mixed numbers

## Fraction equivalence and ordering

Find equivalent fractions using area models

Graph equivalent fractions on number lines

Equivalent fractions

Patterns of equivalent fractions

Write fractions in lowest terms

Graph and compare fractions on number lines

Compare fractions

Compare fractions and mixed numbers

Order fractions with like denominators

Order fractions with like numerators

Order fractions

## Add and subtract fractions

Decompose fractions multiple ways

Add and subtract fractions with like denominators using number lines

Add and subtract fractions with like denominators

Add and subtract fractions with like denominators: word problems

Add and subtract mixed numbers with like denominators

Add and subtract mixed numbers with like denominators: word problems

Add up to 4 fractions with denominators of 10 and 100

Add three or more fractions

Add three or more fractions: word problems

Complete addition and subtraction sentences with fractions

Inequalities with addition and subtraction of fractions

Estimate sums and differences of mixed numbers

## Multiply fractions

Multiply unit fractions by whole numbers using number lines

Multiply unit fractions by whole numbers using models

Multiples of fractions

Multiply unit fractions and whole numbers: sorting

Multiply fractions by whole numbers using number lines

Multiply fractions by whole numbers using models

Multiply fractions and whole numbers: sorting

Multiply fractions by whole numbers

Multiply fractions by whole numbers: input/output tables

## Mixed operations

Add, subtract, multiply and divide whole numbers

Add, subtract, multiply and divide whole numbers: word problems

Write numerical expressions

Evaluate numerical expressions

Add, subtract, multiply and divide decimals

Add, subtract and multiply decimals: word problems

## Problem solving

Multi-step word problems

Word problems with extra or missing information

Guess-and-check problems

Find the order

Use Venn diagrams to solve problems

Price lists

## Patterns and sequences

Find the next shape in a repeating pattern

Complete a repeating pattern

Make a repeating pattern

Find the next row in a growing pattern of shapes

Complete an increasing number sequence

Complete a geometric number sequence

Use a rule to complete a number sequence

Number sequences: word problems

Number sequences: mixed review

## Coordinate plane

Objects on a coordinate plane

Graph points on a coordinate plane

Coordinate planes as maps

## Variable expressions

Write variable expressions

Write variable expressions: word problems

Evaluate variable expressions

Write variable equations: word problems

Solve equations with whole numbers

Find a value using two-variable equations

Complete a table for a two-variable relationship

Complete a table from a graph

Graph a two-variable relationship

Write a two-variable equation

## Data and graphs

A collection of facts, such as numbers, measurements or observations is called data. We can create a table with the data. A diagram of values, usually shown as lines is called graph.

Read a table

Interpret line graphs

Create line graphs

Interpret bar graphs

Create bar graphs

Interpret pictographs

Create pictographs

Interpret histograms

Create histograms

Interpret line plots

Create line plots

Frequency charts

Interpret stem-and-leaf plots

Create stem-and-leaf plots

Circle graphs

Choose the best type of graph

## Probability and statistics

Calculate mean, median and mode

Mean, median and mode: find the missing number

Interpret charts to find mean, median and mode

Understanding probability

Find the probability

Make predictions

Combinations

## Time

Convert time units

Add and subtract mixed time units

Elapsed time

Find start and end times: word problems

Convert between 12-hour and 24-hour time

Time zones – 12-hour time

Time zones – 24-hour time

Schedules and timelines – 12-hour time

Schedules – 24-hour time

Time patterns

## Units of measurement

Choose the appropriate metric unit of measure

Compare and convert metric units of length

Compare and convert metric units of mass

Compare and convert metric units of volume

Choose the more reasonable temperature

## Two-dimensional figures

Is it a polygon?

Number of sides in polygons

Regular and irregular polygons

Parallel, perpendicular and intersecting lines

Types of angles

Measure angles with a protractor

Classify triangles

Parallel sides in quadrilaterals

Identify parallelograms

Identify trapezoids

Identify rectangles

Identify rhombuses

Classify quadrilaterals

## Symmetry and transformations

Lines of symmetry

Rotational symmetry

Reflection, rotation and translation

Combinations of reflections, rotations, and translations

Transformations on the coordinate plane

Identify congruent and similar figures

## Three-dimensional figures

Identify three-dimensional figures

Count vertices, edges and faces

Nets of three-dimensional figures

Three-dimensional figures viewed from different perspectives

## Geometric measurement

Perimeter with whole number side lengths

Perimeter with decimal side lengths

Area of squares and rectangles

Area and perimeter of figures on grids

Use area and perimeter to determine cost

Volume of rectangular prisms made of unit cubes

Volume of irregular figures made of unit cubes

Volume of cubes and rectangular prisms

Surface area