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