Dimensions Math Textbook 4A

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Textbooks introduce concepts through logical sequencing. Lessons encourage discussion and help students reach fluency through engaging activities and strategies. Corresponding exercises in workbooks help students consolidate and practice new knowledge.

 

Features & Components:

  • Chapter Opener: Each chapter begins with an engaging scenario that stimulates student curiosity in new concepts. This scenario also provides teachers an opportunity to review skills.
  • Think: With guidance from teachers, students solve a problem using a variety of methods.
  • Learn: One or more solutions to the problem in Think are presented, along with definitions and other information to consolidate the concepts introduced in Think.
  • Do: A variety of practice problems allow teachers to lead discussion or encourage independent mastery. These activities solidify and deepen student understanding of the concepts.
  • Exercise: A pencil icon at the end of the lesson links to additional practice problems in the corresponding workbook.
  • Practice: Periodic practice provides teachers with opportunities for consolidation, remediation, and assessment.
  • Review: Two cumulative reviews provide ongoing practice of concepts and skills.


Note: Two textbooks (A and B) for each grade correspond to the two halves of the school year. Answer key not included. Soft cover.

Table of Contents

Chapter 1: Numbers to One MillionLesson 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 FactorsLesson 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: MultiplicationLesson 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: DivisionLesson 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: FractionsLesson 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 FractionsLesson 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 NumberLesson 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 PlotsLesson 1: Line Graphs
Lesson 2: Drawing Line Graphs
Lesson 3: Line Plots
Lesson 4: Practice
Review 2

Sample: Table of Contents

Chapter 1: Numbers to One MillionLesson 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 FactorsLesson 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: MultiplicationLesson 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: DivisionLesson 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: FractionsLesson 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 FractionsLesson 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 NumberLesson 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 PlotsLesson 1: Line Graphs
Lesson 2: Drawing Line Graphs
Lesson 3: Line Plots
Lesson 4: Practice
Review 2