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Approx. 5th Grade

Singapore Math-Dimensions Grade 5

Dimensions Math Grade 5 brings together all four operations with whole numbers, fractions, and decimals and introduces algebraic expressions, ratio, rate, and percentage. Students find the volume of solid figures and analyze data with graphs, building a strong foundation for middle-school math.

Dimensions Math Textbook 5A coverDimensions Math Textbook 5B cover

What Singapore Math-Dimensions Grade 5 Covers

  • Operations with fractions and decimals
  • Ratio and percentage
  • Volume and area of triangles
  • Coordinate graphs
  • Advanced bar-model problem solving

Singapore Math-Dimensions Grade 5 Table of Contents

Dimensions Math Grade 5 covers whole numbers, writing and evaluating expressions, all four operations with fractions and decimals, volume of solid figures, geometry, ratio, rate, percentage, measurement, and data analysis — preparing students for pre-algebra.

124 lessons

Chapter 1: Whole Numbers

  • Lesson 1·Numbers to One Billion

  • Lesson 2·Multiplying by 10, 100, and 1,000

  • Lesson 3·Dividing by 10, 100, and 1,000

  • Lesson 4·Multiplying by Tens, Hundreds, and Thousands

  • Lesson 5·Dividing by Tens, Hundreds, and Thousands

  • Lesson 6·Practice

Chapter 2: Writing and Evaluating Expressions

  • Lesson 1·Expressions with Parentheses

  • Lesson 2·Order of Operations — Part 1

  • Lesson 3·Order of Operations — Part 2

  • Lesson 4·Other Ways to Write and Evaluate Expressions

  • Lesson 5·Word Problems — Part 1

  • Lesson 6·Word Problems — Part 2

  • Lesson 7·Practice

Chapter 3: Multiplication and Division

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

  • Lesson 2·Multiplying by a 2-digit Number — Part 2

  • Lesson 3·Practice A

  • Lesson 4·Dividing by a Multiple of Ten

  • Lesson 5·Divide a 2-digit Number by a 2-digit Number

  • Lesson 6·Divide a 3-digit Number by a 2-digit Number — Part 1

  • Lesson 7·Divide a 3-digit Number by a 2-digit Number — Part 2

  • Lesson 8·Divide a 4-digit Number by a 2-digit Number

  • Lesson 9·Practice B

Chapter 4: Addition and Subtraction of Fractions

  • Lesson 1·Fractions and Division

  • Lesson 2·Adding Unlike Fractions

  • Lesson 3·Subtracting Unlike Fractions

  • Lesson 4·Practice A

  • Lesson 5·Adding Mixed Numbers— Part 1

  • Lesson 6·Adding Mixed Numbers— Part 2

  • Lesson 7·Subtracting Mixed Numbers— Part 1

  • Lesson 8·Subtracting Mixed Numbers— Part 2

  • Lesson 9·Practice B

Chapter 5: Multiplication of Fractions

  • Lesson 1·Multiplying a Fraction by a Whole Number

  • Lesson 2·Multiplying a Whole Number by a Fraction

  • Lesson 3·Word Problems — Part 1

  • Lesson 4·Practice A

  • Lesson 5·Multiplying a Fraction by a Unit Fraction

  • Lesson 6·Multiplying a Fraction by a Fraction — Part 1

  • Lesson 7·Multiplying a Fraction by a Fraction — Part 2

  • Lesson 8·Multiplying Mixed Numbers

  • Lesson 9·Word Problems — Part 2

  • Lesson 10·Fractions and Reciprocals

  • Lesson 11·Practice B

  • Review 1

Chapter 6: Division of Fractions

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

  • Lesson 2·Dividing a Fraction by a Whole Number

  • Lesson 3·Practice A

  • Lesson 4·Dividing a Whole Number by a Unit Fraction

  • Lesson 5·Dividing a Whole Number by a Fraction

  • Lesson 6·Word Problems

  • Lesson 7·Practice B

Chapter 7: Measurement

  • Lesson 1·Fractions and Measurement Conversions

  • Lesson 2·Fractions and Area

  • Lesson 3·Practice A

  • Lesson 4·Area of a Triangle — Part 1

  • Lesson 5·Area of a Triangle — Part 2

  • Lesson 6·Area of Complex Figures

  • Lesson 7·Practice B

Chapter 8: Volume of Solid Figures

  • Lesson 1·Cubic Units

  • Lesson 2·Volume of Cuboids

  • Lesson 3·Finding the Length of an Edge

  • Lesson 4·Practice A

  • Lesson 5·Volume of Complex Shapes

  • Lesson 6·Volume and Capacity — Part 1

  • Lesson 7·Volume and Capacity — Part 2

  • Lesson 8·Practice B

  • Review 2

Chapter 9: Decimals

  • Lesson 1·Thousandths

  • Lesson 2·Place Value to Thousandths

  • Lesson 3·Comparing Decimals

  • Lesson 4·Rounding Decimals

  • Lesson 5·Practice A

  • Lesson 6·Multiply Decimals by 10, 100, and 1,000

  • Lesson 7·Divide Decimals by 10, 100, and 1,000

  • Lesson 8·Conversion of Measures

  • Lesson 9·Mental Calculation

  • Lesson 10·Practice B

Chapter 10: The Four Operations of Decimals

  • Lesson 1·Adding Decimals to Thousandths

  • Lesson 2·Subtracting Decimals

  • Lesson 3·Multiplying by 0.1 or 0.01

  • Lesson 4·Multiplying by a Decimal

  • Lesson 5·Practice A

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

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

  • Lesson 8·Dividing by a Whole Number by 0.1 and 0.01

  • Lesson 9·Dividing a Whole Number by a Decimal

  • Lesson 10·Practice B

Chapter 11: Geometry

  • Lesson 1·Measuring Angles

  • Lesson 2·Angles and Lines

  • Lesson 3·Classifying Triangles

  • Lesson 4·The Sum of the Angles in a Triangle

  • Lesson 5·The Exterior Angle of a Triangle

  • Lesson 6·Classifying Quadrilaterals

  • Lesson 7·Angles of Quadrilaterals — Part 1

  • Lesson 8·Angles of Quadrilaterals — Part 2

  • Lesson 9·Drawing Triangles and Quadrilaterals

  • Lesson 10·Practice

Chapter 12: Data Analysis and Graphs

  • Lesson 1·Average — Part 1

  • Lesson 2·Average — Part 2

  • Lesson 3·Line Plots

  • Lesson 4·Coordinate Graphs

  • Lesson 5·Straight Line Graphs

  • Lesson 6·Practice

  • Review 3

Chapter 13: Ratio

  • Lesson 1·Finding the Ratio

  • Lesson 2·Equivalent Ratios

  • Lesson 3·Finding a Quantity

  • Lesson 4·Comparing Three Quantities

  • Lesson 5·Word Problems

  • Lesson 6·Practice

Chapter 14: Rate

  • Lesson 1·Finding the Rate

  • Lesson 2·Rate Problems — Part 1

  • Lesson 3·Rate Problems — Part 2

  • Lesson 4·Word Problems

  • Lesson 5·Practice

Chapter 15: Percentage

  • Lesson 1·Meaning of Percentage

  • Lesson 2·Expressing Percentages as Fractions

  • Lesson 3·Percentages and Decimals

  • Lesson 4·Expressing Fractions as Percentages

  • Lesson 5·Practice A

  • Lesson 6·Percentage of a Quantity

  • Lesson 7·Word Problems

  • Lesson 8·Practice B

  • Review 4

  • Review 5

Textbooks You'll Need for Grade 5

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 5 materials and where to buy them.

Dimensions Math Grade 5 Set with Teacher's Guides cover

Dimensions Math Grade 5 Set with Teacher's Guides

Dimensions Math Grade 5 Set with Home Instructor's Guides cover

Dimensions Math Grade 5 Set with Home Instructor's Guides

Dimensions Math Textbook 5A cover

Dimensions Math Textbook 5A

Dimensions Math Workbook 5A cover

Dimensions Math Workbook 5A

Dimensions Math Home Instructor's Guide 5A cover

Dimensions Math Home Instructor's Guide 5A

Dimensions Math Home Instructor's Printouts 5A cover

Dimensions Math Home Instructor's Printouts 5A

Dimensions Math Teacher's Guide 5A cover

Dimensions Math Teacher's Guide 5A

Dimensions Math Tests 5A cover

Dimensions Math Tests 5A

Dimensions Math Textbook 5B cover

Dimensions Math Textbook 5B

Dimensions Math Workbook 5B cover

Dimensions Math Workbook 5B

Dimensions Math Home Instructor's Guide 5B cover

Dimensions Math Home Instructor's Guide 5B

Dimensions Math Home Instructor's Printouts 5B cover

Dimensions Math Home Instructor's Printouts 5B

Dimensions Math Teacher's Guide 5B cover

Dimensions Math Teacher's Guide 5B

Dimensions Math Tests 5B cover

Dimensions Math Tests 5B

Singapore Math® Sprints 5 cover

Singapore Math® Sprints 5

Singapore Math-Dimensions by Grade

Singapore Math-Dimensions Grade 5 — Common Questions

Dimensions Math Grade 5 covers whole numbers, writing and evaluating expressions, all four operations with fractions and decimals, volume of solid figures, geometry, ratio, rate, percentage, measurement, and data analysis — preparing students for pre-algebra.
Singapore Math-Dimensions Grade 5 is designed for students working at roughly a 5th 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 5 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 5 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 5 student workbook can be checked in our online grading system, included with the Math Pass.

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