Learn on PengiEureka Math, Grade 5Chapter 26: Interpretation of Numerical Expressions

Lesson 2: Create story contexts for numerical expressions and tape diagrams, and solve word problems.

In this Grade 5 Eureka Math lesson from Chapter 26, students practice creating real-world story contexts for numerical expressions and tape diagrams involving operations with fractions, decimals, and whole numbers. They solve multi-step word problems using division of fractions, decimal division, and multiplicative comparisons, interpreting expressions such as one-third times a difference in dollars. The lesson builds fluency with equivalent expressions and reinforces strategies for drawing labeled diagrams to model and solve problems.

Section 1

Application: Modeling Equations with Tape Diagrams

Property

A tape diagram models a word problem by representing a total quantity as a whole bar and its parts as sections of the bar.
The visual relationship between the parts and the whole helps determine the sequence of operations (addition, subtraction, multiplication, division) needed to find the unknown value, xx.

Examples

Section 2

Creating Story Contexts for Numerical Expressions

Property

To create a story context for a numerical expression, assign a real-world meaning to each number and operation. The order of operations, especially actions inside parentheses, must guide the sequence of events in the story.

Examples

Book overview

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

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Chapter 26: Interpretation of Numerical Expressions

  1. Lesson 1

    Lesson 1: Interpret and evaluate numerical expressions including the language of scaling and fraction division.

  2. Lesson 2Current

    Lesson 2: Create story contexts for numerical expressions and tape diagrams, and solve word problems.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Application: Modeling Equations with Tape Diagrams

Property

A tape diagram models a word problem by representing a total quantity as a whole bar and its parts as sections of the bar.
The visual relationship between the parts and the whole helps determine the sequence of operations (addition, subtraction, multiplication, division) needed to find the unknown value, xx.

Examples

Section 2

Creating Story Contexts for Numerical Expressions

Property

To create a story context for a numerical expression, assign a real-world meaning to each number and operation. The order of operations, especially actions inside parentheses, must guide the sequence of events in the story.

Examples

Book overview

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

Continue this chapter

Chapter 26: Interpretation of Numerical Expressions

  1. Lesson 1

    Lesson 1: Interpret and evaluate numerical expressions including the language of scaling and fraction division.

  2. Lesson 2Current

    Lesson 2: Create story contexts for numerical expressions and tape diagrams, and solve word problems.