Learn on PengienVision, Mathematics, Grade 4Chapter 11: Represent and Interpret Data on Line Plots

Lesson 3: Use Line Plots to Solve Problems

Property.

Section 1

Solving Word Problems Using a Line Plot

Property

To solve a word problem using a line plot, translate keywords from the problem into mathematical operations performed on the data values.

  • "Total", "combined", or "in all" implies addition: Total=value1+value2+...Total = value_1 + value_2 + ...
  • "Difference", "how much more", or "range" implies subtraction: Difference=greater value−lesser valueDifference = \text{greater value} - \text{lesser value}

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

Section 3

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

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Chapter 11: Represent and Interpret Data on Line Plots

  1. Lesson 1

    Lesson 1: Read Line Plots

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  2. Lesson 2

    Lesson 2: Make Line Plots

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  3. Lesson 3Current

    Lesson 3: Use Line Plots to Solve Problems

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Lesson overview

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Section 1

Solving Word Problems Using a Line Plot

Property

To solve a word problem using a line plot, translate keywords from the problem into mathematical operations performed on the data values.

  • "Total", "combined", or "in all" implies addition: Total=value1+value2+...Total = value_1 + value_2 + ...
  • "Difference", "how much more", or "range" implies subtraction: Difference=greater value−lesser valueDifference = \text{greater value} - \text{lesser value}

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

Section 3

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

Book overview

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

Continue this chapter

Chapter 11: Represent and Interpret Data on Line Plots

  1. Lesson 1

    Lesson 1: Read Line Plots

    LearnPractice
  2. Lesson 2

    Lesson 2: Make Line Plots

    LearnPractice
  3. Lesson 3Current

    Lesson 3: Use Line Plots to Solve Problems

    LearnPractice