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Approx. 4th Grade

Singapore Math-Dimensions Grade 4

Dimensions Math Grade 4 moves into numbers to one million, multi-digit multiplication and division, and the factors and multiples behind them. Students add, subtract, and multiply fractions, work extensively with decimals, and study angles, area and perimeter, line graphs, and the properties of two- and three-dimensional shapes.

Dimensions Math Textbook 4A coverDimensions Math Textbook 4B cover

What Singapore Math-Dimensions Grade 4 Covers

  • Multi-digit multiplication and division
  • Factors, multiples, and number patterns
  • Fractions and decimals
  • Angles, area, and geometry
  • Line graphs and data

Singapore Math-Dimensions Grade 4 Table of Contents

Dimensions Math Grade 4 covers numbers to one million, multiples and factors, multi-digit multiplication and division, fractions and decimals with all four operations, area and perimeter, angles, lines, shapes, cuboids, and line graphs.

128 lessons

Chapter 1: Numbers to One Million

  • Lesson 1·Numbers to 100,000

  • Lesson 2·Numbers to 1,000,000

  • Lesson 3·Number Patterns

  • Lesson 4·Comparing and Ordering Numbers

  • Lesson 5·Rounding 5-Digit Numbers

  • Lesson 6·Rounding 6-Digit Numbers

  • Lesson 7·Calculations and Place Value

  • Lesson 8·Practice

Chapter 2: Addition and Subtraction

  • Lesson 1·Addition

  • Lesson 2·Subtraction

  • Lesson 3·Other Ways to Add and Subtract — Part 1

  • Lesson 4·Other Ways to Add and Subtract — Part 2

  • Lesson 5·Word Problems

  • Lesson 6·Practice

Chapter 3: Multiples and Factors

  • Lesson 1·Multiples

  • Lesson 2·Common Multiples

  • Lesson 3·Factors

  • Lesson 4·Prime Numbers and Composite Numbers

  • Lesson 5·Common Factors

  • Lesson 6·Practice

Chapter 4: Multiplication

  • Lesson 1·Mental Math for Multiplication

  • Lesson 2·Multiplying by a 1-Digit Number — Part 1

  • Lesson 3·Multiplying by a 1-Digit Number — Part 2

  • Lesson 4·Practice A

  • Lesson 5·Multiplying by a Multiple of 10

  • Lesson 6·Multiplying by a 2-Digit Number — Part 1

  • Lesson 7·Multiplying by a 2-Digit Number — Part 2

  • Lesson 8·Practice B

Chapter 5: Division

  • Lesson 1·Mental Math for Division

  • Lesson 2·Estimation and Division

  • Lesson 3·Dividing 4-Digit Numbers

  • Lesson 4·Practice A

  • Lesson 5·Word Problems

  • Lesson 6·Challenging Word Problems

  • Lesson 7·Practice B

  • Review 1

Chapter 6: Fractions

  • Lesson 1·Equivalent Fractions

  • Lesson 2·Comparing and Ordering Fractions

  • Lesson 3·Improper Fractions and Mixed Numbers

  • Lesson 4·Practice A

  • Lesson 5·Expressing an Improper Fraction as a Mixed Number

  • Lesson 6·Expressing a Mixed Number as an Improper Fraction

  • Lesson 7·Fractions and Division

  • Lesson 8·Practice B

Chapter 7: Adding and Subtracting Fractions

  • Lesson 1·Adding and Subtracting Fractions — Part 1

  • Lesson 2·Adding and Subtracting Fractions — Part 2

  • Lesson 3·Adding a Mixed Number and a Fraction

  • Lesson 4·Adding Mixed Numbers

  • Lesson 5·Subtracting a Fraction from a Mixed Number

  • Lesson 6·Subtracting Mixed Numbers

  • Lesson 7·Practice

Chapter 8: Multiplying a Fraction and a Whole Number

  • Lesson 1·Multiplying a Unit Fraction by a Whole Number

  • Lesson 2·Multiplying a Fraction by a Whole Number — Part 1

  • Lesson 3·Multiplying a Fraction by a Whole Number — Part 2

  • Lesson 4·Fraction of a Set

  • Lesson 5·Multiplying a Whole Number by a Fraction — Part 1

  • Lesson 6·Multiplying a Whole Number by a Fraction — Part 2

  • Lesson 7·Word Problems — Part 1

  • Lesson 8·Word Problems — Part 2

  • Lesson 9·Practice

Chapter 9: Line Graphs and Line Plots

  • Lesson 1·Line Graphs

  • Lesson 2·Drawing Line Graphs

  • Lesson 3·Line Plots

  • Lesson 4·Practice

  • Review 2

Chapter 10: Measurement

  • Lesson 1·Metric Units of Measurement

  • Lesson 2·Customary Units of Length

  • Lesson 3·Customary Units of Weight

  • Lesson 4·Customary Units of Capacity

  • Lesson 5·Units of Time

  • Lesson 6·Practice A

  • Lesson 7·Fractions and Measurement — Part 1

  • Lesson 8·Fractions and Measurement — Part 2

  • Lesson 9·Practice B

Chapter 11: Area and Perimeter

  • Lesson 1·Area of Rectangles — Part 1

  • Lesson 2·Area of Rectangles — Part 2

  • Lesson 3·Area of Composite Figures

  • Lesson 4·Perimeter — Part 1

  • Lesson 5·Perimeter — Part 2

  • Lesson 6·Practice

Chapter 12: Decimals

  • Lesson 1·Tenths — Part 1

  • Lesson 2·Tenths — Part 2

  • Lesson 3·Hundredths — Part 1

  • Lesson 4·Hundredths — Part 2

  • Lesson 5·Expressing Decimals as Fractions in Simplest Form

  • Lesson 6·Expressing Fractions as Decimals

  • Lesson 7·Practice A

  • Lesson 8·Comparing and Ordering Decimals

  • Lesson 9·Rounding Decimals

  • Lesson 10·Practice B

Chapter 13: Addition and Subtraction of Decimals

  • Lesson 1·Adding and Subtracting Tenths

  • Lesson 2·Adding Tenths with Regrouping

  • Lesson 3·Subtracting Tenths with Regrouping

  • Lesson 4·Practice A

  • Lesson 5·Adding Hundredths

  • Lesson 6·Subtracting from 1 and 0.1

  • Lesson 7·Subtracting Hundredths

  • Lesson 8·Money, Decimals, and Fractions

  • Lesson 9·Practice B

  • Review 3

Chapter 14: Multiplication and Division of Decimals

  • Lesson 1·Multiplying Tenths and Hundredths

  • Lesson 2·Multiplying Decimals by a Whole Number — Part 1

  • Lesson 3·Multiplying Decimals by a Whole Number — Part 2

  • Lesson 4·Practice A

  • Lesson 5·Dividing Tenths and Hundredths

  • Lesson 6·Dividing Decimals by a Whole Number — Part 1

  • Lesson 7·Dividing Decimals by a Whole Number — Part 2

  • Lesson 8·Dividing Decimals by a Whole Number — Part 3

  • Lesson 9·Practice B

Chapter 15: Angles

  • Lesson 1·The Size of Angles

  • Lesson 2·Measuring Angles

  • Lesson 3·Drawing Angles

  • Lesson 4·Adding and Subtracting Angles

  • Lesson 5·Reflex Angles

  • Lesson 6·Practice

Chapter 16: Lines and Shapes

  • Lesson 1·Perpendicular Lines

  • Lesson 2·Parallel Lines

  • Lesson 3·Drawing Perpendicular and Parallel Lines

  • Lesson 4·Quadrilaterals

  • Lesson 5·Lines of Symmetry

  • Lesson 6·Symmetrical Figures and Patterns

  • Lesson 7·Practice

Chapter 17: Properties of Cuboids

  • Lesson 1·Cuboids

  • Lesson 2·Nets of Cuboids

  • Lesson 3·Faces and Edges of Cuboids

  • Lesson 4·Practice

  • Review 4

  • Review 5

Textbooks You'll Need for Grade 4

You supply your own textbooks; Nicole the Math Lady provides the video lessons, grading, and support (The Math Pass). Here are the Singapore Math-Dimensions Grade 4 materials and where to buy them.

Dimensions Math Grade 4 Set with Teacher's Guides cover

Dimensions Math Grade 4 Set with Teacher's Guides

Dimensions Math Grade 4 Set with Home Instructor's Guides cover

Dimensions Math Grade 4 Set with Home Instructor's Guides

Dimensions Math Textbook 4A cover

Dimensions Math Textbook 4A

Dimensions Math Workbook 4A cover

Dimensions Math Workbook 4A

Dimensions Math Home Instructor's Guide 4A cover

Dimensions Math Home Instructor's Guide 4A

Dimensions Math Home Instructor's Printouts 4A cover

Dimensions Math Home Instructor's Printouts 4A

Dimensions Math Teacher's Guide 4A cover

Dimensions Math Teacher's Guide 4A

Dimensions Math Tests 4A cover

Dimensions Math Tests 4A

Dimensions Math Textbook 4B cover

Dimensions Math Textbook 4B

Dimensions Math Workbook 4B cover

Dimensions Math Workbook 4B

Dimensions Math Home Instructor's Guide 4B cover

Dimensions Math Home Instructor's Guide 4B

Dimensions Math Home Instructor's Printouts 4B cover

Dimensions Math Home Instructor's Printouts 4B

Dimensions Math Teacher's Guide 4B cover

Dimensions Math Teacher's Guide 4B

Dimensions Math Tests 4B cover

Dimensions Math Tests 4B

Singapore Math® Sprints 4 cover

Singapore Math® Sprints 4

Singapore Math-Dimensions by Grade

Singapore Math-Dimensions Grade 4 — Common Questions

Dimensions Math Grade 4 covers numbers to one million, multiples and factors, multi-digit multiplication and division, fractions and decimals with all four operations, area and perimeter, angles, lines, shapes, cuboids, and line graphs.
Singapore Math-Dimensions Grade 4 is designed for students working at roughly a 4th Grade level, but placement is based on mastered skills rather than age. The most reliable way to confirm the right starting point is to take the free placement test.
Most students complete Singapore Math-Dimensions Grade 4 in one school year at a pace of about four to five lessons per week. You can move faster or slower — the program is self-paced, so spend extra time on tougher topics and move quickly through ones your student already knows.
Our video lessons follow a specific edition, and the exact Singapore Math-Dimensions Grade 4 materials are listed above with links to buy them. A Homeschool Kit bundles the student textbook, tests, and solutions; you can also purchase those components separately.
Yes — every problem in the Grade 4 student workbook can be checked in our online grading system, included with the Math Pass.

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