Learn on PengiEureka Math, Grade 4Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

Lesson 7: Solve word problems with line plots.

In this Grade 4 Eureka Math lesson from the chapter on Extending Fraction Equivalence to Fractions Greater Than 1, students learn to create and interpret line plots using data expressed as fractions and mixed numbers. They practice converting mixed numbers to fractions and comparing fractions on a number line before applying those skills to plot real-world measurement data in eighths of a mile. Students then solve word problems by reading and analyzing the completed line plot.

Section 1

Creating a Line Plot with Fractional Data

Property

To create a line plot from a data set, first draw a horizontal number line that spans the range of the data (from minimum to maximum value).
Determine an appropriate fractional scale (e.g., halves, fourths, eighths) by finding a common denominator for the data points.
Title the plot, label the number line, and then plot each data point by placing an 'X' above its corresponding value on the number line.

Examples

Section 2

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 valuelesser valueDifference = \text{greater value} - \text{lesser value}

Examples

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Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

  1. Lesson 1

    Lesson 1: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.

  2. Lesson 2

    Lesson 2: Add and multiply unit fractions to build fractions greater than 1 using visual models.

  3. Lesson 3

    Lesson 3: Decompose and compose fractions greater than 1 to express them in various forms.

  4. Lesson 4

    Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.

  5. Lesson 5

    Lesson 5: Compare fractions greater than 1 by reasoning using benchmark fractions.

  6. Lesson 6

    Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.

  7. Lesson 7Current

    Lesson 7: Solve word problems with line plots.

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Creating a Line Plot with Fractional Data

Property

To create a line plot from a data set, first draw a horizontal number line that spans the range of the data (from minimum to maximum value).
Determine an appropriate fractional scale (e.g., halves, fourths, eighths) by finding a common denominator for the data points.
Title the plot, label the number line, and then plot each data point by placing an 'X' above its corresponding value on the number line.

Examples

Section 2

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 valuelesser valueDifference = \text{greater value} - \text{lesser value}

Examples

Book overview

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

Continue this chapter

Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

  1. Lesson 1

    Lesson 1: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.

  2. Lesson 2

    Lesson 2: Add and multiply unit fractions to build fractions greater than 1 using visual models.

  3. Lesson 3

    Lesson 3: Decompose and compose fractions greater than 1 to express them in various forms.

  4. Lesson 4

    Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.

  5. Lesson 5

    Lesson 5: Compare fractions greater than 1 by reasoning using benchmark fractions.

  6. Lesson 6

    Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.

  7. Lesson 7Current

    Lesson 7: Solve word problems with line plots.