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.

Textbook lessons begin with a task that allows students to apply their previous knowledge and learn through discussion. Once students have mastered a concept with the use of concrete and pictorial aids, they are ready to take on more abstract mathematical problem sets. They reach fluency by collecting various strategies along the way and applying them to new problems. Word problems give students a sense of math in real-world contexts.

Workbooks offer independent practice that follows a careful progression of exercise variation. Each textbook lesson includes a corresponding workbook exercise that starts with pictorial representation and progresses to more challenging abstract problems. Workbooks for PreK-2 are perforated.

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