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

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

Grade 4 students learn to solve additive compare word problems using tape diagrams in this Eureka Math lesson, focusing on "how much more" and "how many fewer" comparisons with multi-digit numbers. Students practice identifying whether the unknown is a missing part and determining when subtraction is needed, even when the language of a problem suggests addition. The lesson also reinforces checking solutions for reasonableness using estimation and rounding.

Section 1

Adding and Subtracting Large Numbers

Property

The standard algorithm for addition and subtraction requires aligning numbers vertically by place value. Calculations are performed column by column from right to left (ones, to tens, to hundreds, etc.), regrouping ("carrying" in addition or "borrowing" in subtraction) as necessary.

Examples

Section 2

Modeling Additive Comparisons with Tape Diagrams

Property

To find the difference (DD) between a larger quantity (LL) and a smaller quantity (SS) in an additive comparison problem, you subtract the smaller quantity from the larger quantity.

LS=DL - S = D

Examples

Section 3

Solving Two-Step Comparison Problems

Property

To solve a multi-step comparison problem, first combine parts into a total using addition, then find the difference using subtraction. This can be represented as finding the difference DD where one quantity is a sum: D=(A+B)CD = (A + B) - C.

Examples

Book overview

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Chapter 6: Addition and Subtraction Word Problems

  1. Lesson 1Current

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

  2. Lesson 2

    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

Adding and Subtracting Large Numbers

Property

The standard algorithm for addition and subtraction requires aligning numbers vertically by place value. Calculations are performed column by column from right to left (ones, to tens, to hundreds, etc.), regrouping ("carrying" in addition or "borrowing" in subtraction) as necessary.

Examples

Section 2

Modeling Additive Comparisons with Tape Diagrams

Property

To find the difference (DD) between a larger quantity (LL) and a smaller quantity (SS) in an additive comparison problem, you subtract the smaller quantity from the larger quantity.

LS=DL - S = D

Examples

Section 3

Solving Two-Step Comparison Problems

Property

To solve a multi-step comparison problem, first combine parts into a total using addition, then find the difference using subtraction. This can be represented as finding the difference DD where one quantity is a sum: D=(A+B)CD = (A + B) - C.

Examples

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 1Current

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

  2. Lesson 2

    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.