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.


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

Dimensions Math Grade 5 Set with Home Instructor's Guides

Dimensions Math Textbook 5A

Dimensions Math Workbook 5A

Dimensions Math Home Instructor's Guide 5A

Dimensions Math Home Instructor's Printouts 5A

Dimensions Math Teacher's Guide 5A

Dimensions Math Tests 5A

Dimensions Math Textbook 5B

Dimensions Math Workbook 5B

Dimensions Math Home Instructor's Guide 5B

Dimensions Math Home Instructor's Printouts 5B

Dimensions Math Teacher's Guide 5B

Dimensions Math Tests 5B
