### Singapore Math

# Dimensions Math Teacher's Guide 4A

**Dimensions Math ^{®} Teacher's Guide 4A**

Chapter 1: Numbers to One Million

Teaching Notes

Chapter Opener

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

Workbook Solutions

Chapter 2: Addition and Subtraction

Teaching Notes

Chapter Opener

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

Workbook Solutions

Chapter 3: Multiples and Factors

Teaching Notes

Chapter Opener

Lesson 1: Multiples

Lesson 2: Common Multiples

Lesson 3: Factors

Lesson 4: Prime Numbers and Composite Numbers

Lesson 5: Common Factors

Lesson 6: Practice

Workbook Solutions

Chapter 4: Multiplication

Teaching Notes

Chapter Opener

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

Workbook Solutions

Chapter 5: Division

Teaching Notes

Chapter Opener

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

Workbook Solutions

Chapter 6: Fractions

Teaching Notes

Chapter Opener

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

Workbook Solutions

Chapter 7: Adding and Subtracting Fractions

Teaching Notes

Chapter Opener

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

Workbook Solutions

Chapter 8: Multiplying a Fraction and a Whole Number

Teaching Notes

Chapter Opener

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: PracticeWorkbook Solutions

Chapter 9: Line Graphs and Line Plots

Teaching Notes

Chapter Opener

Lesson 1: Line Graphs

Lesson 2: Drawing Line Graphs

Lesson 3: Line Plots

Lesson 4: Practice

Review 2

Workbook Solutions

Click here to view samples of Dimensions Math^{®} Teacher's Guide 4A.

**Dimensions Math ^{®}**

**PreK-5 series**features the progression, rigor, and pacing that define Singapore math. Throughout the series, five characters offer students suggestions on how to think about problems. They remind students of strategies they’ve learned and point out important information that encourages them to come up with their own solutions.

Teacher’s Guides include lesson plans, mathematical background, games, helpful suggestions, and comprehensive resources for daily lessons. Lessons are laid out clearly and activities are designed for the whole class, small groups, and extension.

**Textbooks and Workbooks do not include answer keys. Answers are in Teacher's Guides.**

**ISBN**9781947226388