Learn on PengienVision, Mathematics, Grade 5Chapter 10: Represent and Interpret Data

Lesson 3: Solve Word Problems Using Measurement Data

In this Grade 5 lesson from enVision Mathematics Chapter 10, students learn to solve word problems by interpreting measurement data displayed in line plots, including reading fractional values and calculating totals using multiplication and addition of fractions. Students practice writing and solving equations to find totals and differences from real-world data sets such as rainfall amounts and string lengths. The lesson builds skills in organizing line plot data into frequency tables to support accurate multi-step calculations with fractions.

Section 1

Calculating Total Value Using Frequencies

Property

To find the total value of all data on a line plot, multiply each unique data value by its frequency (the number of times it appears), and then add all the products together.

Total=(value1×frequency1)+(value2×frequency2)+ \text{Total} = (\text{value}_1 \times \text{frequency}_1) + (\text{value}_2 \times \text{frequency}_2) + \dots

Examples

Section 2

Solving Multi-Step Problems with Line Plots Using Equations

Property

To solve a word problem using a line plot, represent the unknown value with a variable (such as xx).
Use the data from the line plot and keywords from the problem to write a mathematical equation.

Examples

Book overview

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Chapter 10: Represent and Interpret Data

  1. Lesson 1

    Lesson 1: Analyze Line Plots

  2. Lesson 2

    Lesson 2: Make Line Plots

  3. Lesson 3Current

    Lesson 3: Solve Word Problems Using Measurement Data

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Calculating Total Value Using Frequencies

Property

To find the total value of all data on a line plot, multiply each unique data value by its frequency (the number of times it appears), and then add all the products together.

Total=(value1×frequency1)+(value2×frequency2)+ \text{Total} = (\text{value}_1 \times \text{frequency}_1) + (\text{value}_2 \times \text{frequency}_2) + \dots

Examples

Section 2

Solving Multi-Step Problems with Line Plots Using Equations

Property

To solve a word problem using a line plot, represent the unknown value with a variable (such as xx).
Use the data from the line plot and keywords from the problem to write a mathematical equation.

Examples

Book overview

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

Continue this chapter

Chapter 10: Represent and Interpret Data

  1. Lesson 1

    Lesson 1: Analyze Line Plots

  2. Lesson 2

    Lesson 2: Make Line Plots

  3. Lesson 3Current

    Lesson 3: Solve Word Problems Using Measurement Data