Learn on PengiEureka Math, Grade 4Chapter 6: Addition and Subtraction Word Problems

Lesson 2: Solve multi-step word problems modeled with tape diagrams, and assess the reasonableness of answers using rounding.

In this Grade 4 Eureka Math lesson from Chapter 6, students learn to solve multi-step word problems involving addition and subtraction by drawing and labeling tape diagrams. Students practice breaking complex problems into sequential steps, such as finding unknown quantities across multiple conditions, then assess the reasonableness of their answers using rounding and estimation. The lesson builds fluency with large numbers and unit conversions while reinforcing strategic problem-solving skills.

Section 1

Modeling Comparative Relationships with Tape Diagrams

Property

To model comparative relationships, use tape diagrams where each quantity is a bar. If quantity AA is xx more than quantity BB, then A=B+xA = B + x. If quantity CC is yy fewer than quantity BB, then C=ByC = B - y. The total is the sum of all quantities: Total=A+B+C+...Total = A + B + C + ...

Examples

Section 2

Assessing Reasonableness with Rounding

Property

To check if an answer is reasonable, compare the exact answer to an estimated answer. The estimated answer is found by rounding the numbers in the problem before calculating.

Exact AnswerEstimated Answer \text{Exact Answer} \approx \text{Estimated Answer}

Book overview

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Chapter 6: Addition and Subtraction Word Problems

  1. Lesson 1

    Lesson 1: Solve additive compare word problems modeled with tape diagrams.

  2. Lesson 2Current

    Lesson 2: Solve multi-step word problems modeled with tape diagrams, and assess the reasonableness of answers using rounding.

  3. Lesson 3

    Lesson 3: Create and solve multi-step word problems from given tape diagrams and equations.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Modeling Comparative Relationships with Tape Diagrams

Property

To model comparative relationships, use tape diagrams where each quantity is a bar. If quantity AA is xx more than quantity BB, then A=B+xA = B + x. If quantity CC is yy fewer than quantity BB, then C=ByC = B - y. The total is the sum of all quantities: Total=A+B+C+...Total = A + B + C + ...

Examples

Section 2

Assessing Reasonableness with Rounding

Property

To check if an answer is reasonable, compare the exact answer to an estimated answer. The estimated answer is found by rounding the numbers in the problem before calculating.

Exact AnswerEstimated Answer \text{Exact Answer} \approx \text{Estimated Answer}

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 6: Addition and Subtraction Word Problems

  1. Lesson 1

    Lesson 1: Solve additive compare word problems modeled with tape diagrams.

  2. Lesson 2Current

    Lesson 2: Solve multi-step word problems modeled with tape diagrams, and assess the reasonableness of answers using rounding.

  3. Lesson 3

    Lesson 3: Create and solve multi-step word problems from given tape diagrams and equations.