Learn on PengiEureka Math, Grade 5Chapter 22: Fraction Expressions and Word Problems

Lesson 2: Solve and create fraction word problems involving addition, subtraction, and multiplication.

Grade 5 students learn to solve and create word problems involving addition, subtraction, and multiplication of fractions, using tape diagrams and expressions to model each situation. This lesson is part of Eureka Math's Chapter 22 on Fraction Expressions and Word Problems and builds on prior skills such as multiplying whole numbers by fractions and converting units of measure. Students also practice writing and interpreting fraction expressions that match visual diagrams.

Section 1

Applying Multiple Strategies to Fraction Word Problems

Property

To solve a multi-step problem, break it down into a sequence of simpler calculations. Different valid strategies, such as calculating parts separately or working with the remaining whole after each step, can be used to arrive at the same correct answer.

Examples

Section 2

Modeling Fraction Word Problems with Tape Diagrams

Property

A tape diagram (or bar model) is a visual tool used to solve fraction word problems. A rectangle represents the 'whole' quantity, and it is partitioned into equal units based on the denominator of the fraction. By determining the value of one unit, we can find the value of any number of fractional parts.

Examples

Section 3

Creating Word Problems from Tape Diagrams

Property

To create a word problem from a tape diagram, identify the key components: the total value (the whole), the number of equal units it is divided into (the denominator), the number of units being considered (the numerator), and the unknown value the diagram is asking to find. Weave these components into a real-world story with a question.

Examples

Book overview

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Chapter 22: Fraction Expressions and Word Problems

  1. Lesson 1

    Lesson 1: Compare and evaluate expressions with parentheses.

  2. Lesson 2Current

    Lesson 2: Solve and create fraction word problems involving addition, subtraction, and multiplication.

  3. Lesson 3

    Lesson 3: Solve and create fraction word problems involving addition, subtraction, and multiplication.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Applying Multiple Strategies to Fraction Word Problems

Property

To solve a multi-step problem, break it down into a sequence of simpler calculations. Different valid strategies, such as calculating parts separately or working with the remaining whole after each step, can be used to arrive at the same correct answer.

Examples

Section 2

Modeling Fraction Word Problems with Tape Diagrams

Property

A tape diagram (or bar model) is a visual tool used to solve fraction word problems. A rectangle represents the 'whole' quantity, and it is partitioned into equal units based on the denominator of the fraction. By determining the value of one unit, we can find the value of any number of fractional parts.

Examples

Section 3

Creating Word Problems from Tape Diagrams

Property

To create a word problem from a tape diagram, identify the key components: the total value (the whole), the number of equal units it is divided into (the denominator), the number of units being considered (the numerator), and the unknown value the diagram is asking to find. Weave these components into a real-world story with a question.

Examples

Book overview

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

Continue this chapter

Chapter 22: Fraction Expressions and Word Problems

  1. Lesson 1

    Lesson 1: Compare and evaluate expressions with parentheses.

  2. Lesson 2Current

    Lesson 2: Solve and create fraction word problems involving addition, subtraction, and multiplication.

  3. Lesson 3

    Lesson 3: Solve and create fraction word problems involving addition, subtraction, and multiplication.