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One of the most Frequently Asked Questions I get is, “Which “Singapore Math” curriculum should we use?”

There are a lot of differences between the series’ and yet, they are alike in many ways as well. To help **you** compare the main curriculums that have been released in the past few years, this page includes some examples and a lesson sequence by level that you can reference.

Before continuing, I should say right up front that I was on the writing team for Dimensions Math, and authored the Teacher’s Guides (k-5). In addition, my co-presenter for Jumpstart Your Singapore Math since 2021 was on the writing teams for both Math in Focus 2020 and Primary Mathematics 2022.

There are three updated main textbook options for schools considering a Singapore Math® program:

- Dimensions Math
- Math in Focus 2020
- Primary Math 2022

In addition, there are older options of Primary Mathematics:

- U.S. Edition
- Standards Edition
- Common Core Edition

Math in Focus also has editions from 2010, 2015, and 2018, which will be discontinued in 2023.

#### What makes these updated versions different from older materials? The emphasis on Singapore’s Three Phases of Learning:

Each curriculum includes components of this model using different terminology:

#### Dimensions Math

###### Readiness:

- Chapter Opener
- Think

###### Engagement:

- Learn

###### Mastery:

- Do
- Practice

#### Math in Focus 2020

###### Readiness:

- Chapter Opener/Recall Prior Knowledge
- Think
- Engage

###### Engagement:

- Learn

###### Mastery:

- Try
- Math Journal
- Put on Your Thinking Cap
- Performance Task
- Steam

#### Primary Mathematics 2022

###### Readiness:

- Chapter Opener/Recall

###### Engagement:

- Task
- Learn
- Learn Together

###### Mastery:

- Practice on Your Own
- Performance Task
- Steam Project Work
- Chapter Practice

## Additional Lesson Components

##### Each of these sets of materials also includes additional lessons worked into the Chapter Planning Guides. For space, these are not repeated in the chapter-by-chapter Lesson Sequence included below.

#### Dimensions Math:

**Chapter Openers**can be one day, or a brief review depending on student prior knowledge.- Each Chapter has between 1 and 3
**Practice**Lessons that apply and synthesize the previous lessons in the chapter. - Each level has quarterly
**Reviews**that are cumulative. (Level 5 has 5 of these Reviews)

#### Math in Focus 2020

**Chapter Opener/Recall Prior Knowledge**activities and assessments start each chapter off as a one-day lesson.- Each chapter concludes with additional lessons:
Math Journal/Put on Your Thinking Cap! (Typically 1 day)

Chapter Wrap-Up/Chapter Review/Performance Task (Can be multiple days)

Steam Project Work (Some Chapters, Not all)

#### Primary Mathematics 2022

- The title has been shortened to “Primary Math” to save space!
**Chapter Opener/Recall**activities and assessments start each chapter off as a one-day lesson- Most chapters conclude with additional lessons
- Chapter Wrap-Up/Performance Task
- Steam Project Work
- Chapter Practice (can be two-days)
- Solve! Heuristics

## Lesson Sequence

##### 1A Dimensions Math - Math in Focus 2020 - Primary Math 2022

### Dimensions Math 1A

**Chapter 1 Numbers to 10**

Numbers to 10

The Number 0

Order Numbers

Compare Numbers

**Chapter 2 Number Bonds**

Make 6

Make 7

Make 8

Make 9

Make 10 — Part 1

Make 10 — Part 2

**Chapter 3 Addition**

Addition as Putting Together

Addition as Adding More

Addition with 0

Addition with Number Bonds

Addition by Counting On

Make Addition Stories

Addition Facts

**Chapter 4 Subtraction**

Making Subtraction Stories

Methods of Subtraction

**Chapter 5 Numbers to 20**

Numbers to 20

Add or Subtract Tens or Ones

Order Numbers to 20

Compare Numbers to 20

Addition

Subtraction

**Chapter 6 Addition to 20**

Add by Making 10 — Part 1

Add by Making 10 — Part 2

Add by Making 10 — Part 3

Addition Facts to 20

**Chapter 7 Subtraction Within 20**

Subtract from 10 — Part 1

Subtract from 10 — Part 2

Word Problems

Subtract Facts Within 20

**Chapter 8 Shapes**

Solid and Flat Shapes

Grouping Shapes

Making Shapes

**Chapter 9 Ordinal Numbers**

Naming Positions

Word Problems

#### Math in Focus 2020 1A

**Chapter 1 Numbers to 10**

Counting to 10

Comparing Numbers

Making Number Patterns

**Chapter 2 Addition and Subtraction**

Making Number Bonds

Ways to Add

Making Addition Stories

Real-World Problems: Addition

Ways to Subtract

Making Subtraction Stories

Real-World Problems: Subtraction

Making Fact Families

**Chapter 3 Shapes and Patterns**

Exploring Flat Shapes

Exploring Solid Shapes

Making Pictures and Models

Seeing Shapes Around Us

Using Solid Shapes to Make Patterns

Using Flat Shapes to Make Patterns

**Chapter 4 Numbers to 20**

Counting to 20

Place Value

Comparing and Ordering Numbers

Number Patterns

**Chapter 5 Addition and Subtraction Within 20**

Ways to Add Fluently

Ways to Subtract Fluently

Real-World Problems: Addition and Subtraction

**Chapter 6 Numbers to 40**

Counting to 40

Place Value

Comparing, Ordering, and Number Patterns

**Chapter 7 Calendar and Time**

Using a Calendar

Telling Time to the Hour

Telling Time to the Half Hour

#### Primary Math 2022 1A

**Chapter 1 Numbers to 10 **

Count On and Count Back

Compare Two Groups of Objects

How Many More?

Compare Numbers

1 More Than

1 Less Than

Number Bonds for 5, 6, and 7

Number Bonds for 8, 9, and 10

**Chapter 2 Addition Within 10**

Add To

Put Together

Count On to Add

Use Number Bonds to Add

True or False Equations

**Chapter 3 Subtraction Within 10**

How Many Left?

Finding Part of a Whole

Count Back to Subtract

Use number Bonds to Subtract

Relate Addition and Subtraction

Compare Numbers by Subtraction

**Chapter 4 Numbers to 20**

Count to 20

Compare and Order Numbers Within 20

**Chapter 5 Addition and Subtraction Within 20**

Count On to Add

Use Number Bonds to Add

Make 10 to Add

Use Doubles facts to Add

Add Three Numbers

Subtract From Ones

Subtract From a Ten and Make Ten to Subtract

Count Back to Subtract

Use Addition facts to Subtract

**Chapter 6 Addition and Subtraction Word Problems**

Part-Whole Addition Problems

Part-Whole Subtraction Problems

Comparison Addition Problems

Comparison Subtraction Problems

**Chapter 7 Length**

Compare and Order Lengths of Three Objects

Estimate and Measure Length in Nonstandard Units

##### 1B Dimensions Math - Math in Focus 2020 - Primary Math 2022

#### Dimensions Math 1B

**Chapter 10 Length**

Comparing Lengths Directly

Comparing Lengths Indirectly

Comparing Lengths with Units

**Chapter 11 Comparing**

Subtraction as Comparison

Making Comparison Subtraction Stories

Picture Graphs

**Chapter 12 Numbers to 40**

Numbers to 40

Tens and Ones

Counting by Tens and Ones

Comparing

**Chapter 13 Addition and Subtraction to 40**

Add Ones

Subtract Ones

Make the Next Ten

Use Addition Facts

Subtract from Tens

Use Subtraction Facts

Add Three Numbers

**Chapter 14 Grouping and Sharing**

Adding Equal Groups

Sharing

Grouping

**Chapter 15 Fractions**

Halves

Fourths

**Chapter 16 Numbers to 100**

Numbers to 100

Tens and Ones

Count by Ones or Tens

Compare Numbers to 100

**Chapter 17 Addition and Subtraction Within 100**

Add Ones—Part 1

Add Tens

Add Ones—Part 2

Add Tens and Ones—Part 1

Add Tens and Ones—Part 2

Subtract Ones—Part 1

Subtract from Tens

Subtract Ones—Part 2

Subtract Tens

Subtract Tens and Ones—Part 1

Subtract Tens and Ones—Part 2

**Chapter 18 Time**

Telling Time to the Hour

Telling Time to the Half Hour

Telling Time to the 5 Minutes

**Chapter 19 Money**

Coins

Counting Money

Bills

Shopping

#### Math in Focus 1B

**Chapter 8 Addition and Subtraction Within 40**

Addition Without Regrouping

Addition With Regrouping

Subtraction Without Regrouping

Subtraction With Regrouping

Real-World Problems: Addition and Subtraction

Getting Ready for Multiplication

**Chapter 9 Length and Weight**

Comparing Lengths

Comparing More Lengths

Using a Start Line

Measuring Lengths

Measuring Lengths in Units

Comparing Weights

Measuring Weight

Measuring Weight in Units

**Chapter 10 Numbers to 120**

Counting to 120

Place Value

Comparing, Ordering, and Number Patterns

**Chapter 11 Addition and Subtraction to 100**

Addition Without Regrouping

Addition With Regrouping

Subtraction Without Regrouping

Subtraction With Regrouping

**Chapter 12 Picture Graphs and Bar Graphs**

Simple Picture Graphs

Tally Chart and Bar Graphs

**Chapter 13 Money**

Penny, Nickel, and Dime

Quarter

Counting Money

Adding and Subtracting Money

#### Primary Math 1B

**Chapter 8 Numbers to 120**

Count to 40

Count to 120

Tens and Ones

Compare and Order Numbers Within 100

Penny, Nickel, and Dime

Quarter

Count Coins

**Chapter 9 Addition and Subtraction Within 100**

Add Ones

Make Tens to Add

Add Ones Without Renaming

Add Ones With Renaming

Add Tens

Add 2-Digit Numbers Without Renaming

Add 2-Digit Numbers With Renaming

Subtract Ones

Subtract Ones From Tens and Make Tens to Subtract

Subtract Ones Without Renaming

Subtract Ones With Renaming

Subtract Tens

Subtract 2-Digit Numbers Without renaming

Subtract 2-Digit Numbers With Renaming

**Chapter 10 Data**

Picture Graphs

Tally Charts and Picture Graphs

**Chapter 11 Shapes**

2-D Shapes

Composing 2-D Shapes

Composing 3-D Shapes

Equal Parts

Cut 2-D SHapes into Halves and Fourths

**Chapter 12 Time**

Tell Time to the Hour

Tell Time to the Half-Hour

##### 2A Dimensions Math - Math in Focus 2020 - Primary Math 2022

#### Dimensions Math 2A

**Chapter 1 Numbers to 1,000**

Tens and Ones

Counting by Tens or Ones

Comparing Tens and Ones

Hundreds, Tens, and Ones

Place Value

Comparing Hundreds, Tens, and Ones

Counting by Hundreds, Tens, or Ones

**Chapter 2 Addition and Subtraction – Part 1**

Strategies for Addition

Strategies for Subtraction

Parts and Whole

Comparison

**Chapter 3 Addition and Subtraction – Part 2**

Addition Without Regrouping

Subtraction Without Regrouping

Addition with Regrouping Ones

Addition with Regrouping Tens

Addition with Regrouping Tens and Ones

Subtraction with Regrouping from Tens

Subtraction with Regrouping from Hundreds

Subtraction with Regrouping from Two Places

Subtraction with Regrouping across Zeros

**Chapter 4 Length**

Centimeters

Estimating Length in Centimeters

Meters

Estimating Length in Meters

Inches

Using Rulers

FeetChapter 5 Weight

Grams

Kilograms

Pounds

**Chapter 6 Multiplication and Division**

Multiplication – Part 1

Multiplication – Part 2

Division – Part 1

Division – Part 2

**Chapter 7 Multiplication and Division of 2, 5, and 10**

The Multiplication Table of 5

Multiplication Facts of 5

The Multiplication Table of 2

Multiplication Facts of 2

The Multiplication Table of 10

Dividing by 2

Dividing by 5 and 10

Word Problems

#### Math in Focus 2020 2A

**Chapter 1 Numbers to 1,000**

Counting to 1,000

Place Value

Comparing and Ordering Numbers

Number Patterns

**Chapter 2 Addition Within 1,000**

Adding Fluently Within 100

Adding Without Regrouping

Adding with Regrouping in Ones

Adding with Regrouping in Tens

Adding with Regrouping in Ones and Tens

Adding Four 2-Digit Numbers

**Chapter 3 Subtraction Within 1,000**

Subtracting Fluently Within 100

Subtracting Without Regrouping

Subtracting with Regrouping in Tens

Subtracting with Regrouping in Hundreds and Tens

Subtracting with Regrouping in Hundreds, Tens, and Ones

Subtracting Across Zeros

**Chapter 4 Using Bar Models: Addition and Subtraction**

Using Part-Part -Whole in Addition and Subtraction

Adding On and Taking Away Sets

Comparing Two Sets

Real-World Problems: Two-Step Problems

**Chapter 5 Length**

Measuring in Meters

Comparing and Ordering Metric Lengths

Real-World Problems: Addition and Subtraction of Metric Lengths

Measuring in Feet

Comparing and Ordering Customary Lengths

Real-World Problems: Addition and Subtraction of Customary Lengths

**Chapter 6 Mass**

Measuring in Kilograms

Measuring in Grams

Comparing Masses in Kilograms and Grams

Real-World Problems: Addition and Subtraction of Masses

**Primary Math 2022 2A**

**Chapter 1 Numbers to 1,000**

Count to 1,000

Hundreds, Tens, and Ones

1 More, 1 Less, 10 More, 10 Less, 100 More, or 100 Less

Count On and Count Back by 1s, 10s, and 100s

Number Patterns

Compare and Order Numbers

Numbers on the Number Line

Bills

Count And Exchange Money

Compare Amounts of Money

**Chapter 2 Addition Within 1,000**

Count On to Add Fluently Within 20

Make a Ten to Add Fluently Within 20

Use Doubles Facts to Add Fluently Within 20

Add Tens

Add Hundreds

Add Fluently Without Renaming Within 100

Add a 3-Digit Number and a 2-Digit Number Without Renaming Within 100

Add Two 3-Digit Numbers Without Renaming Within 1,000

Make Tens to Add Within 100

Add Fluently With Renaming in Tens and Ones

Add a 3-Digit Number and a 2-Digit Number Without Renaming in Ones

Add Two 3-Digit Numbers With renaming in Ones

Add a 3-Digit Number and a 2-Digit Number With Renaming in Tens

Add a 3-Digit Number and a 2-Digit Number With Renaming in Tens and Ones

Add two 3-Digit Numbers With Renaming in Tens and Ones

Add Three or Four 2-Digit Numbers

**Chapter 3 Subtraction Within 1,000**

Take Away to Subtract Fluently Within 20

Subtract From 10 Fluently Within 20

Count Back to Subtract Fluently Within 20

Count On to Subtract Fluently Within 20

Subtract Tens

Subtract Hundreds

Subtract Fluently Without Renaming Within 100

Subtract up to a 2-Digit Number from a 3-Digit Number Without Renaming Within 1,000

Subtract a 3-Digit Number Without Renaming in Tens and Ones

Subtract Fluently With Renaming Within 100

Subtract up to a 2-Digit Number from a 3-Digit Number With Renaming in Tens and Ones

Subtract a 3-Digit Number With Renaming in Tens and Ones

Subtract a 2-Digit Number from a 3-Digit Number With Renaming in Hundreds and Tens

Subtract a 3-Digit Number With Renaming in Hundreds and Tens

Subtract a 3-Digit Number With Renaming in Hundreds, Tens, and Ones

Relate Addition and Subtraction

**Chapter 4 Addition and Subtraction Using Bar Models**

Sum and Difference

One-Step Word Problems: Addition

One-Step Word Problems: Subtraction

One-Step Word Problems: Addition or Subtraction

One-Step Word Problems: Comparison

Two-Part Word problems: Addition and Subtraction

Two-Step Word problems: Addition and Subtraction

##### 2B Dimensions Math - Math in Focus 2020 - Primary Math 2022

#### Dimensions Math 2B

**Chapter 8 Mental Calculation**

Adding Ones Mentally

Adding Tens Mentally

Making 100

Adding 97, 98, or 99

Subtracting Ones Mentally

Subtracting Tens Mentally

Subtracting 97, 98, or 99

**Chapter 9 Multiplication and Division of 3 and 4**

The Multiplication Table of 3

Multiplication Facts of 3

Dividing by 3

The Multiplication Table of 4

Dividing by 4

**Chapter 10 Money**

Making $1

Dollars and Cents

Making Change

Comparing Money

Adding Money

Subtracting Money

**Chapter 11 Fractions**

Halves and Fourths

Writing Unit Fractions

Writing Fractions

Fractions that Make 1 Whole

Comparing and Ordering Fractions

**Chapter 12 Time**

Telling Time

Time Intervals

A.M. and P.M.

**Chapter 13 Capacity**

Comparing Capacity

Units of Capacity

**Chapter 14 Graphs**

Picture Graphs

Bar Graphs

**Chapter 15 Shapes**

Straight and Curved Sides

Polygon

Semicircles and Quarter-circles

Patterns

Solid Shapes

#### Math in Focus 2020 2B

**Chapter 7 Graphs and Line Plots **

Picture Graphs

Bar Graphs

Line Plots

**Chapter 8 Multiplication and Division**

How to Multiply

How to Divide

Real-World Problems: Multiplication and Division

Odd and Even Numbers

**Chapter 9 Multiplication Tables**

Multiplying by 2

Multiplying by 5

Multiplying by 10

Multiplying by 3

Multiplying by 4

Multiplying Numbers in Any Order

Dividing Using Multiplication Facts

**Chapter 10 Time and Money**

Reading and Writing Time

Using A.M and P.M.

Bills

Comparing Amounts of Money

Real-World Problems: Money

**Chapter 11 Shapes**

Lines and Surfaces

Flat Shapes

Solid Shapes

**Primary Math 2022 2B**

**Chapter 5 Length**

Measure and Estimate Length in Meters

Measure and Estimate Lines and Curves

Measure and Estimate Length in Inches

Measure and Estimate Length in Feet

Measure and Estimate Length in Yards

Compare and Order Lengths in Metric Units

Compare and Order Lengths in Customary Units

One-Step Word Problems

Two-Part and Two-Step Word Problems

**Chapter 6 Multiplication**

Add Equal Groups

Even and Odd Numbers

Skip Count by 2s, 5s, and 10s

Multiplication

**Chapter 7 Time**

Tell Time to 5 Minutes

Use A.M. and P.M. to Tell Time

Hours and Minutes

**Chapter 8 Data**

Picture Graphs and Draw Picture Graphs

Bar Graphs and Draw Bar Graphs

Line Plots

Make Line Plots

**Chapter 9 Shapes**

2-D Shapes and Draw 2-D Shapes

3-D Shapes

Partition a Rectangle into Squares

Partition 2-D Shapes into Equal Parts

##### 3A Dimensions Math - Math in Focus 2020 - Primary Math 2022

#### Dimensions Math 3A

**Chapter 1 Numbers to 10,000**

Numbers to 10,000

Place Value — Part 1

Place Value — Part 2

Comparing Numbers

The Number Line

Number Patterns

Rounding to the Nearest Thousand

Rounding to the Nearest Hundred

Rounding to the Nearest Ten

**Chapter 2 Addition and Subtraction – Part 1**

Mental Addition — Part 1

Mental Addition — Part 2

Mental Subtraction — Part 1

Mental Subtraction — Part 2

Making 100 and Making 1,000

Strategies for Numbers Close to Hundreds

Sum and Difference

Word Problems — Part 1

Word Problems — Part 2

2-Step Word Problems

**Chapter 3 Addition and Subtraction – Part 2**

Addition with Regrouping

Subtraction with Regrouping — Part 1

Subtraction with Regrouping — Part 2

Estimating Sums and Differences — Part 1

Estimating Sums and Differences — Part 2

Word Problems

Chapter 4 Multiplication and Division

Looking Back at Multiplication

Strategies for Finding the Product

Looking Back at Division

Multiplying and Dividing with 0 and 1

Division with Remainders

Odd and Even Numbers

Word Problems — Part 1

Word Problems — Part 2

2-Step Word Problems

**Chapter 5 Multiplication**

Multiplying Ones, Tens, and Hundreds

Multiplication Without Regrouping

Multiplication with Regrouping Tens

Multiplication with Regrouping Ones

Multiplication with Regrouping Ones and Tens

Multiply a 3-digit Number with Regrouping Once

Multiplication with Regrouping More Than Once

**Chapter 6 Division**

Dividing Tens and Hundreds

Dividing a 2-digit Number by 2 — Part 1

Dividing a 2-digit Number by 2 — Part 2

Dividing a 2-digit Number by 3, 4, and 5

Dividing a 3-digit Number by 2

Dividing a 3-digit Number by 3, 4, and 5

Dividing a 3-digit Number, Quotient is 2 Digits

**Chapter 7 Graphs and Tables**

Picture Graphs and Bar Graphs

Bar Graphs and Tables

#### Math in Focus 2020 3A

**Chapter 1 Numbers to 10,000**

Counting to 10,000

Place Value

Comparing and Ordering Numbers

Rounding Numbers to the Nearest Ten

Rounding Numbers to the Nearest Hundred

**Chapter 2 Addition Within 10,000 **

Addition Problems

Mental Addition

Adding Fluently Within 1,000

Adding Without Regrouping

Adding with Regrouping

Real-World Problems: Addition

**Chapter 3 Subtraction Within 10,000 **

Mental Subtraction

Subtracting Fluently Within 1,000

Subtracting Without Regrouping

Subtracting with Regrouping

Real-World Problems: Subtraction

**Chapter 4 Multiplication Tables **

Multiplying by 6

Multiplying by 7

Multiplying by 8

Multiplying by 9

Multiplying by 11

Multiplying by 12

Multiplication Patterns

Dividing Using Multiplication Facts

**Chapter 5 Multiplication **

Multiplying Using Models

Multiplying Without Regrouping

Multiplying with Regrouping

**Chapter 6 Using Bar Models: The Four Operations **

Real-World Problems: Multiplication

Real-World Problems: Division

Real-World Problems: Four Operations

#### Primary Math 2022 3A

**Chapter 1 Numbers to 10,000**

Place Value

Compare and Order Numbers

Number Patterns

Rounding Numbers

**Chapter 2 Addition and Subtraction Within 10,000**

Add Fluently Within 1,000

Subtract Fluently Within 1,000

Addition Within 10,000 Without Renaming

Addition Within 10,000 With Renaming

Subtraction Within 10,000 Without Renaming

Subtraction Within 10,000 With Renaming

Add Using Number lines

Other Strategies to Add

Subtract Using Number lines

Other Strategies to Subtract

Word Problems

**Chapter 3 Multiplication and Division**

Use Equal groups to Multiply

Use Arrays to Multiply

Multiply by 2

Use Doubles to Multiply by 2

Multiply by 5

Multiply by 10

Multiply by 3

Multiply By 3 Using Known Facts

Multiply by 4

Multiply By 4 Using Known Facts

Word Problems

Division as Sharing

Division as grouping

Divide by 2

Divide by 5

Divide by 10

Divide by 3

Divide by 4

Word Problems: Divide by 2, 3, 4, 5, and 10

Word Problems: Multiply and Divide by 2, 3, 4, 5, and 10

**Chapter 4 Multiplication and Division of 6, 7, 8, and 9**

Multiply By 6

Divide by 6

Word Problems: Multiply and Divide by 6

Multiply By 7

Divide by 7

Word Problems: Multiply and Divide by 7

Multiply By 8

Divide by 8

Word Problems: Multiply and Divide by 8

Multiply By 9

Divide by 9

Word Problems: Multiply and Divide by 9

Multiply by tens

Multiply a 2-Digit Number by a 1-Digit Number

Two-Part Word Problems: The Four Operations

Two-Step Word Problems: The Four Operations

**Chapter 5 Time**

Hours and Minutes

Time Intervals

Word Problems: Find the Duration

Word Problems: Find the Start Time or End Time

##### 3B Dimensions Math - Math in Focus 2020 - Primary Math 2022

#### Dimensions Math 3B

**Chapter 8 Multiplying and Dividing with 6, 7, 8, and 9**

The Multiplication Table of 6

The Multiplication Table of 7

Multiplying by 6 and 7

Dividing by 6 and 7

The Multiplication Table of 8

The Multiplication Table of 9

Multiplying by 8 and 9

Dividing by 8 and 9

**Chapter 9 Fractions – Part 1**

Fractions of a Whole

Fractions on a Number Line

Comparing Fractions with Like Denominators

Comparing Fractions with Like Numerators

**Chapter 10 Fractions Part 2**

Equivalent Fractions

Finding Equivalent Fractions

Simplifying Fractions

Comparing Fractions — Part 1

Comparing Fractions — Part 2

Adding and Subtracting Fractions — Part 1

Adding and Subtracting Fractions — Part 2

**Chapter 11 Measurement**

Meters and Centimeters

Subtracting from Meters

Kilometers

Subtracting from Kilometers

Liters and Milliliters

Kilograms and Grams

Word Problems

**Chapter 12 Geometry**

Circles

Angles

Right Angles

Triangles

Properties of Triangles

Properties of Quadrilaterals

Using a Compass

**Chapter 13 Area and Perimeter**

Area

Units of Area

Area of Rectangles

Area of Composite Figures

Perimeter

Perimeter of Rectangles

Area and Perimeter

**Chapter 13 Area and Perimeter**

Area

Units of Area

Area of Rectangles

Area of Composite Figures

Perimeter

Perimeter of Rectangles

Area and Perimeter

**Chapter 14 Time**

Units of Time

Calculating Time — Part 1

Calculating Time — Part 2

Calculating Time — Part 3

Calculating Time — Part 4

**Chapter 15 Money**

Dollars and Cents

Making $10

Adding Money

Subtracting Money

Word Problems

#### Math in Focus 2020 3B

**Chapter 7 Fractions**

Understanding Unit Fractions

Fractions as Part of a Whole

Fractions as Part of a Set

Understanding Equivalent Fractions

Comparing Fractions

**Chapter 8 Measurement**

Mass: Kilograms and Grams

Liquid Volume: Liters and Milliliters

Real-World Problems: One-Step Problems

**Chapter 9 Area and Perimeter**

Area

Square Units (cm2 and in2)

Square Units (m2 and ft2)

Perimeter and Area

More Perimeter

**Chapter 10 Time**

Telling Time

Converting Hours and Minutes

Elapsed Time

**Chapter 11 Bar Graphs and Line Plots**

Making Picture Graphs with Scales

Making Bar Graphs with Scales

Reading and Interpreting Bar Graphs

Line Plots and Estimation

**Chapter 12 Angles, Lines, and Two-Dimensional Figures**

Introducing Angles

Introducing Perpendicular and Parallel Lines

Polygons

**Primary Math 2022 3B**

**Chapter 6 Area and Perimeter**

Area in Square Units

Area in Square Centimeters and Square Inches

Area in Square Meter, Square Feet, and Square Yards

Area of Squares and Rectangles

Perimeter

Word Problems: Perimeter

Composite Figures

Word Problems

**Chapter 7 Fractions**

Unit Fractions

More Fractions

Fractions Greater Than 1

Compare Two Fractions

Compare and Order Fractions

Equivalent Fractions

Fractions on a Number Line

Fractions of a Set

**Chapter 8 Mass and Liquid Volume**

Measure Mass in Kilograms

Measure Mass in Grams

Measure Volume in Liters

Word Problems

**Chapter 9 Data**

Picture Graphs

Bar Graphs

Line Plots

**Chapter 10 Shapes**

Angles and Shapes

Angles and triangles

Angles and Quadrilaterals

##### 4A Dimensions Math - Math in Focus 2020 - Primary Math 2022

#### Dimensions Math 4A

**Chapter 1 Numbers to One Million**Numbers to 100,000 Numbers to 1,000,000 Number Patterns Comparing and Ordering Numbers Rounding 5-Digit Numbers Rounding 6-Digit Numbers Calculations and Place Value

**Chapter 2 Addition and Subtraction**Addition Subtraction Other Ways to Add and Subtract — Part 1 Other Ways to Add and Subtract — Part 2 Word Problems

**Chapter 3 Multiples and Factors**Multiples Common Multiples Factors Prime Numbers and Composite Numbers Common Factors

**Chapter 4 Multiplication**Mental Math for Multiplication Multiplying by a 1-Digit Number — Part 1 Multiplying by a 1-Digit Number — Part 2 Multiplying by a Multiple of 10 Multiplying by a 2-Digit Number — Part 1 Multiplying by a 2-Digit Number — Part 2

**Chapter 5 Division**Mental Math for Division Estimation and Division Dividing 4-Digit Numbers Word Problems Challenging Word Problems

**Chapter 6 Fractions**Equivalent Fractions Comparing and Ordering Fractions Improper Fractions and Mixed Numbers Expressing an improper Fraction as a Mixed Number Expressing a Mixed Number as an Improper Fraction Fractions and Division

**Chapter 7 Adding and Subtracting Fractions**Adding and Subtracting Fractions — Part 1 Adding and Subtracting Fractions — Part 2 Adding a Mixed Number and a Fraction Adding Mixed Numbers Subtracting a Fraction from a Mixed Number Subtracting Mixed Numbers

**Chapter 8 Multiplying a Fraction and a Whole Number**Multiplying a Unit Fraction by a Whole Number Multiplying a Fraction by a Whole Number — Part 1 Multiplying a Fraction by a Whole Number — Part 2 Fraction of a Set Multiplying a Whole Number by a Fraction — Part 1 Multiplying a Whole Number by a Fraction — Part 2 Word Problems — Part 1 Word Problems — Part 2

**Chapter 9 Line Graphs and Line Plots**Line Graphs Drawing Line Graphs Line Plots

#### Math in Focus 2020 4A

**Chapter 1 Working with Whole Numbers**Numbers to 100,000 Numbers to 1,000,000 Comparing and Ordering Numbers Adding and Subtracting Multi-Digit Numbers Rounding and Estimating Real-World Problems: Addition and Subtraction

**Chapter 2 Multiplication and Division**Multiplying by a 1-Digit or 2-Digit Number Quotient and Remainder Dividing by a 1-digit Number Real-World Problems: Multiplication and Division Factors Multiples Real-World Problems: The Four Operations

**Chapter 3 Fractions and Mixed Numbers**Equivalent Fractions Comparing and Ordering Fractions Adding and Subtracting Like Fractions Mixed Numbers Improper Fractions Renaming Improper Fractions and Mixed Numbers Adding and Subtracting Mixed Numbers Real-World Problems: Fractions

**Chapter 4 Decimals**Understanding Tenths Understanding Hundredths Comparing and Ordering Decimals Rounding Decimals Fractions and Decimals

**Chapter 5 Conversion of Measurements**Length in Customary Units Weight and Volume in Customary Units Real-World Problems: Customary Units of Measure Length in Metric Units Mass and Volume in Metric Units Real-World Problems: Metric Units of Measure Time

**Primary Math 2022 4A**

**Chapter 1 Multi-Digit Whole Numbers**Place Value Compare and Order Numbers Within 1,000,000 Number and Shape Pattern Round to the Nearest Thousand Round to the Nearest Ten Thousand or Hundred Thousand

**Chapter 2 Addition and Subtraction**Add Multi-Digit Whole Numbers Subtract Multi-Digit Whole Numbers One-Step Word Problems: Addition and Subtraction Two-Part Word Problems: Addition and Subtraction Two-Step Word Problems: Addition and Subtraction

**Chapter 3 Multiplication and Division**Multiplicative Comparisons Word Problems: Multiplicative Comparisons Factors and Common Factors Multiples and Common Multiples Prime and Composite Numbers Multiply by Tens, Hundreds, and Thousands Multiply a 2-Digit Number by a 1-Digit Number Multiply a 3-Digit or a 4-Digit Number by a 1-Digit Number Word Problems: Multiplying by a 1-Digit Number Multiply a 2-Digit Number by a 2-Digit Number Quotient and Remainder Divide a 2-Digit Number by a 1-Digit Number Without and With Remainder Divide a 3-Digit by a 1-Digit Number Without and With Remainder Divide a 4-Digit Number by a 1-Digit Number Without and With Remainder Estimate Quotients Word Problems: Dividing by a 1-Digit Number Two-Step Word Problems: Multiplication and Division

**Chapter 4 The Four Operations Using Bar Models**Two-Part Word Problems: The Four Operations Multi-Step Word Problems: The Four Operations

**Chapter 5 Fractions**Equivalent fractions Multiply to Find Equivalent Fractions Divide to Find Equivalent Fractions Compare Two Fractions Compare and Order Fractions Add Like Fractions Subtract Like Fractions One-Step Word Problems: Addition and Subtraction of Like Fraction Two-Part Word Problems: Addition and Subtraction of Like Fractions Two-Step Word Problems: Addition and Subtraction of Like Fractions

**Chapter 6 Mixed Numbers, Improper Fractions, and Operations on Fractions**Mixed Numbers Improper Fractions Express Improper Fractions as Mixed Numbers Express Mixed Numbers as Improper Fractions Add Mixed Numbers Subtract Mixed Numbers One-Step Word Problems: Add and Subtract Mixed Numbers Two-Part Word Problems: Add and Subtract Mixed Numbers Two-Step Word Problems: Add and Subtract Mixed Numbers Fractions as Multiples of a Unit Fraction Fractions as Multiples of Another Fraction Fraction as Parts of a Quantity Line Plots Word Problems: Line Plots

##### 4B Dimensions Math - Math in Focus 2020 - Primary Math 2022

#### Dimensions Math 4B

**Chapter 10 Measurement**

Metric Units of Measurement

Customary Units of Length

Customary Units of Weight

Customary Units of Capacity

Units of Time

Fractions and Measurement — Part 1

Fractions and Measurement — Part 2

**Chapter 11 Area and Perimeter**

Area of Rectangles — Part 1

Area of Rectangles — Part 2

Area of Composite Figures

Perimeter — Part 1

Perimeter — Part 2

**Chapter 12 Decimals**

Tenths — Part 1

Tenths — Part 2

Hundredths — Part 1

Hundredths — Part 2

Expressing Decimals as Fractions in Simplest Form

Expressing Fractions as Decimals

Comparing and Ordering Decimals

Rounding Decimals

**Chapter 13 Addition and Subtraction of Decimals**

Adding and Subtracting Tenths

Adding Tenths with Regrouping

Subtracting Tenths with Regrouping

Adding Hundredths

Subtracting from 1 and 0.1

Subtracting Hundredths

Money, Decimals, and Fractions

**Chapter 14 Multiplication and Division of Decimals**

Multiplying Tenths and Hundredths

Multiplying Decimals by a Whole Number — Part 1

Multiplying Decimals by a Whole Number — Part 2

Dividing Tenths and Hundredths

Dividing Decimals by a Whole Number — Part 1

Dividing Decimals by a Whole Number — Part 2

Dividing Decimals by a Whole Number — Part 3

**Chapter 15 Angles**

The Size of Angles

Measuring Angles

Drawing Angles

Adding and Subtracting Angles

Reflex Angles

**Chapter 16 Lines and Shapes**

Perpendicular Lines

Parallel Lines

Drawing Perpendicular and Parallel Lines

Quadrilaterals

Lines of Symmetry

Symmetrical Figures and Patterns

**Chapter 17 Properties of Cuboids**

Cuboids

Nets of Cuboids

Faces and Edges of Cuboids

#### Math in Focus 2020 4B

**Chapter 6 Area and Perimeter**

Area and Unknown Sides

Composite Figures

Real-World Problems: Area and Perimeter

**Chapter 7 Angles and Line Segments**

Understanding and Measuring Angles

Drawing Angles to 180°

Turns and Right Angles

Finding Unknown Angles

Drawing Perpendicular and Parallel Line Segments

**Chapter 8 Polygons and Symmetry**

Classifying Triangles

Classifying Polygons

Symmetric Shapes and Lines of Symmetry

Making Symmetric Shapes and Patterns

**Chapter 9 Table and Line Graphs**

Making and Interpreting a Table

Using a Table

Line Graphs

**Primary Math 2022 4A**

**Chapter 7 Decimals**

Tenths

Compare and Order Tenths

Fractions and Decimals in Tenths

Hundredths

Compare and Order Hundredths

Fractions and Decimals in Hundredths

Number Patterns

**Chapter 8 Area and Perimeter**

Areas and Perimeters of Rectangles and Squares

Find Unknown Sides of Rectangles and Squares

Area and Perimeter of Composite Figures

**Chapter 9 Geometry**

Points, Lines, Line Segments, Rays, and Angles

Acute Angles, Right Angles, and Obtuse Angles

Measure Angles

Draw Angles up to 180 Degrees

Find Unknown Angle Measures

DrawPerpendicular and Parallel Lines

Properties of 2-D Figures

Line of Symmetry

**Chapter 10 Measurement, Time, and Conversion**

Metric Length in Kilometers, Meters, and Centimeters

Metric Mass in Kilograms and Grams

Metric Capacity and Volume in Liters and Milliliters

Customary Units of Length Including Miles, Yards, Feet, and Inches

Customary Units of Mass Including Tons, Pounds, and Ounces

Customary Units of Capacity and Volume Including Gallons, Quarts, Pints, Cups, and Fluid Ounces

Hours, Minutes, and Seconds

Word Problems Involving Units of Measurement and Time

##### 5A Dimensions Math - Math in Focus 2020 - Primary Math 2022

#### Dimensions Math 5A

**Chapter 1 Whole Numbers**

Numbers to One Billion

Multiplying by 10, 100, and 1,000

Dividing by 10, 100, and 1,000

Multiplying by Tens, Hundreds, and Thousands

**Chapter 2 Writing and Evaluating Expressions**

Expressions with Parentheses

Order of Operations — Part 1

Order of Operations — Part 2

Other Ways to Write and Evaluate Expressions

Word Problems — Part 1

Word Problems — Part 2

**Chapter 3 Multiplication and Division**

Multiplying by a 2-digit Number — Part 1

Multiplying by a 2-digit Number — Part 2

Dividing by a Multiple of Ten

Divide a 2-digit Number by a 2-digit Number

Divide a 3-digit Number by a 2-digit Number — Part 1

Divide a 3-digit Number by a 2-digit Number — Part 2

Divide a 4-digit Number by a 2-digit Number

**Chapter 4 Addition and Subtraction of Fractions**

Fractions and Division

Adding Unlike Fractions

Subtracting Unlike Fractions

Adding Mixed Numbers— Part 1

Adding Mixed Numbers— Part 2

Subtracting Mixed Numbers— Part 1

Subtracting Mixed Numbers— Part 2

**Chapter 5 Multiplication of Fractions**

Multiplying a Fraction by a Whole Number

Multiplying a Whole Number by a Fraction

Word Problems — Part 1

Multiplying a Fraction by a Unit Fraction

Multiplying a Fraction by a Fraction — Part 1

Multiplying a Fraction by a Fraction — Part 2

Multiplying Mixed Numbers

Word Problems — Part 2

Fractions and Reciprocals

**Chapter 6 Division of Fractions**

Dividing a Unit Fraction by a Whole Number

Dividing a Fraction by a Whole Number

Dividing a Whole Number by a Unit Fraction

Dividing a Whole Number by a Fraction

Word Problems

**Chapter 7 Measurement**

Fractions and Measurement Conversions

Fractions and Area

Area of a Triangle — Part 1

Area of a Triangle — Part 2

Area of Complex Figures

**Chapter 8 Volume of Solid Figures**

Cubic Units

Volume of Cuboids

Finding the Length of an Edge

Volume of Complex Shapes

Volume and Capacity — Part 1

Volume and Capacity — Part 2

#### Math in Focus 2020 5A

**Chapter 1 Whole Numbers**

Numbers to 10,000,000

Multiplying by Tens, Hundreds, or Thousands

Multiplying and Dividing by 2-digit Numbers Fluently

Order of Operations

Real-World Problems: Four Operations and Whole Numbers

**Chapter 2 Fractions and Mixed Numbers**

Fractions, Mixed Numbers, and Division Expressions

Adding Unlike Fractions and Mixed Numbers

Subtracting Unlike Fractions and Mixed Numbers

Real-World Problems: Fractions and Mixed Numbers

**Chapter 3 Multiplying and Dividing Fractions and Mixed numbers**

Multiplying Fractions and Whole Numbers

Multiplying Proper Fractions

Real-World Problems: Multiplying Proper Fractions

Multiplying Improper Fractions

Multiplying Mixed Numbers and Whole Numbers

Real-World Problems: Multiplying Mixed Numbers

Dividing Fractions and Mixed numbers

Real-World Problems: Multiplying with Dividing Fractions

**Chapter 4 Decimals**

Understanding Thousandths

Comparing, Ordering, and Rounding Decimals

Decimals, Fractions, and Mixed Numbers

**Chapter 5 The Four operations of Decimals**

Adding Decimals

Subtracting Decimals

Multiplying Decimals

Multiplying Decimals by Tens, Hundreds, Thousands, and Powers of Tens

Dividing Decimals

Dividing Decimals by Tens, Hundreds, and Thousands

Estimating Decimals

Converting Metric Units

Real-World Problems: Decimals

**Primary Math 2022 5A**

**Chapter 1 Multi-Digit Whole Numbers**

Numbers to 10 Million and Place Value

Multiply by Tens, Hundreds, and Thousands

Multiply by Powers of 10

Divide by Tens, Hundreds, and Thousands

**Chapter 2 The Four Operations of Whole Numbers**

Order of Operations

Numerical Expressions

Multiply by a 2-Digit Number With and Without Renaming

Word Problems: Multiplying by a 2-Digit Number

Divide by Tens With and Without Remainder

Divide a 2-Digit Number by a 2-Digit Number With and Without Remainder

Divide by a 2-Digit Number With and Without Remainder

Word Problems: Dividing by a 2-Digit Number

Three-Step Word Problems: The Four Operations

Multi-Step Word Problems: The Four Operations

**Chapter 3 Addition and Subtraction of Fractions**

Add Unlike Fractions

Subtract Unlike Fractions

Add Mixed Numbers

Subtract Mixed Numbers

Two-Part Word Problems

Two-Step Word Problems

**Chapter 4 Multiplication and Division of Fractions**

Product of Fractions and Whole Numbers

Product of Mixed Numbers and Whole Number

Word Problems; Product of Fractions and Whole Numbers

Product of Fractions

Product of Improper Fractions

Word Problems: Product of Fractions

Product of Two Mixed Numbers

Express Fractions as Division

Divide a Unit Fraction by a Whole Number

Divide a Fraction by a Whole Number

Word Problems: Dividing by a Whole Number

Divide a Whole Number by a Unit Fraction

Word Problems: Dividing a Unit Fraction

**Chapter 5 Word Problems: The Four Operations of Fractions**

Solve Part-Whole and Comparison Problems

Solve Problems Using the Unitary Method

Solve Problems Involving a Finding a Fraction of a Fraction

**Chapter 6 Decimals**

Thousandths

Compare and Order Decimals

Express Decimals to Thousandths as Fractions

Rounding Decimals to the Nearest Whole Number, Tenth or Hundredth

##### 5B Dimensions Math - Math in Focus 2020 - Primary Math 2022

#### Dimensions Math 5B

**Chapter 9 Decimals**

Thousandths

Place Value to Thousandths

Comparing Decimals

Rounding Decimals

Multiply Decimals by 10, 100, and 1,000

Divide Decimals by 10, 100, and 1,000

Conversion of Measures

Mental Calculation

**Chapter 10 The Four operations of Decimals**

Adding Decimals to Thousandths

Subtracting Decimals

Multiplying by 0.1 or 0.01

Multiplying by a Decimal

Dividing by a Whole Number—Part 1

Dividing by a Whole Number—Part 2

Dividing a Whole Number by 0.1 and 0.01

Dividing a Whole Number by a Decimal

**Chapter 11 Geometry**

Measuring Angles

Angles and Lines

Classifying Triangles

The Sum of the Angles in a Triangle

The Exterior Angle of a Triangle

Classifying Quadrilaterals

Angles of Quadrilaterals—Part 1

Angles of Quadrilaterals—Part 2

Drawing Triangles and Quadrilaterals

**Chapter 12 Data Analysis and Graphs**

Average—Part 1

Average—Part 2

Line Plots

Coordinate Graphs

Straight Line Graphs

**Chapter 13 Ratio**

Finding the Ratio

Equivalent Ratios

Finding a Quantity

Comparing Three Quantities

Word Problems

**Chapter 13 Rate**

Finding the Rate

Rate Problems—Part 1

Rate Problems—Part 2

Word Problems

**Chapter 14 Percentage**

Meaning of Percentage

Expressing Percentages as Fractions

Percentages and Decimals

Expressing Fractions as Percentages

Percentage of a Quantity

Word Problems

#### Math in Focus 2020 5B

**Chapter 6 Volume**

Building Solids using Unit Cubes

Understanding and Measuring Volume

Real-World Problems: Volume of a Rectangular Prism

Real-World Problems: Volume of a Composite Solids

**Chapter 7 Line Plots and the Coordinate Plane**

Making and Interpreting Line Plots

Graphing on a Coordinate Plane

Number Patterns and Graphs

**Chapter 8 Polygons**

Classifying Triangles

Classifying Polygons

**Chapter 9 Ratio**

Finding Ratios

Equivalent Ratios

Comparing Three Quantities

Real-World Problems: Ratio

**Chapter 10 Percent**

Percent

Fractions, Decimals, and Percent

Percentage of a Quantity

Real-World Problems: Percent

**Primary Math 2022 5B**

**Chapter 7 The Four Operations of Decimals**

Add Tenths and Hundredths

Add Decimals to Hundredths

Subtract Tenths and Hundredths

Subtract Decimals to Hundredths

Multiply Decimals by a 1-Digit Whole Number

Multiply by Tens and by a 2-Digit Whole Number

Multiply by Hundreds and Thousands

Multiply Decimals by Tenths and Hundredths

Multiply Decimals by Decimals

Divide Decimals by a 1-Digit Whole Number

Divide by Tens and by a 2-Digit Whole Number

Divide by Hundreds and Thousands

Divide Decimals by Tenths and Hundredths

Divide Decimals by Decimals

Convert Larger to Smaller Measurement Units

Convert Smaller to Larger Measurement Units

**Chapter 8 Word Problems: The Four Operations of Decimals**

Two-Part Word Problems: The Four Operations

Two-Step Word Problems: The Four Operations

Multi-Step Word Problems: The Four Operations

**Chapter 9 Volume**

Measure and Compare Volumes

Volume of Rectangular Prisms

Volume of Composite Solids

Word Problems: Volume of Solids

**Chapter 10 Properties and Classification of 2-D Shapes**

Properties and Classification of Triangles

Properties and Classification of Quadrilaterals

**Chapter 11 Line Plots and the Coordinate Plane**

Line Plots

The Coordinate Plane

Line Graphs

**Chapter 12 Number Patterns and Relationships**

Number Patterns and Relationships

Graph Relationships

## Curriculum Materials

#### Dimensions Math

- Teacher’s Guides A & B
- Textbooks A & B
- Workbooks A & B
- Tests A & B
- Blackline Masters (Online)
- Letters home (Online)
- Online Component

#### Math in Focus 2020

- Teacher’s Guides A & B
- Student Book A & B
- Extra Practice and Homework
- Reteach
- Enrichment
- Online Component

#### Primary Math 2022

- Teacher’s Guides A & B
- Student Book A & B
- Reteach
- Extension
- Assessments
- School to Home Letters (Online)
- Online Component

## Curriculum Samples

Coming Soon!