Learn on PengiIllustrative Mathematics, Grade 5Chapter 6: Place Value Patterns and Decimal Operations

Lesson 10: Problem Solving with Line Plots

Grade 5 students learn to create and interpret line plots displaying fractional measurement data, adding and subtracting fractions with unlike denominators to solve multi-step problems. Using the Info Gap routine with a fruit-picking context, students practice communicating mathematical information to find missing data and answer questions about the line plot. This lesson from Illustrative Mathematics Grade 5, Chapter 6 also connects repeated addition of fractions to multiplication, building on standards 5.MD.B.2, 5.NF.A.2, and 5.NF.B.4.

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 Word Problems with Fractional Line Plot Data

Property

To solve problems using a line plot with fractional data, first interpret the plot to identify the relevant fractional values.
Then, set up an addition or subtraction expression based on the question and solve.

Examples

Section 3

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

Lesson overview

Expand to review the lesson summary and core properties.

Expand

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 Word Problems with Fractional Line Plot Data

Property

To solve problems using a line plot with fractional data, first interpret the plot to identify the relevant fractional values.
Then, set up an addition or subtraction expression based on the question and solve.

Examples

Section 3

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