Learn on PengiPengi Math (Grade 5)Chapter 12: Representing and Solving Problems with Dot Plots

Lesson 2: Solve Word Problems Using Dot Plots

In this Grade 5 Pengi Math lesson from Chapter 12, students use dot plot data to solve word problems by calculating total values with multiplication and addition and writing equations with variables to represent unknown quantities. They tackle multi-step comparison problems involving fractional units such as 1/2, 1/4, and 1/8, using the dot plot to support each step of their reasoning. Students also check their answers for reasonableness using estimation and benchmark 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 12: Representing and Solving Problems with Dot Plots

  1. Lesson 1

    Lesson 1: Create and Interpret Dot Plots

  2. Lesson 2Current

    Lesson 2: Solve Word Problems Using Dot Plots

Lesson overview

Expand to review the lesson summary and core properties.

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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 12: Representing and Solving Problems with Dot Plots

  1. Lesson 1

    Lesson 1: Create and Interpret Dot Plots

  2. Lesson 2Current

    Lesson 2: Solve Word Problems Using Dot Plots