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First/Data Graphing

Line Plots with Fractional Data

Interpret data displayed on a line plot with fractional intervals.
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Study Guide

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Practice Questions

  1. How many pencils are 3 1/2 inches long?
    Show answer

    (C) 5

  2. What is the most common length?
    Show answer

    (C) 3 1/2 inches

  3. How many pencils are longer than 3 1/2 inches?
    Show answer

    (B) 4

  4. How many pencils were measured in total?
    Show answer

    (C) 15

  5. What is the difference in length between the longest and shortest pencil?
    Show answer

    (A) 1 inch

Quick Tip
A line plot shows data on a number line. Each 'X' represents one item.
Teacher Resources
Teaching Notes

Ensure students understand that each X represents one object, not the value itself.

Vocabulary
Line Plot: Graph showing data with X's above numbers.
Frequency: How often something occurs.
Common Mistakes
  • Adding the values instead of counting the X's
  • Miscounting 'X' marks.
  • Incorrectly reading fractional intervals.
  • Confusing number line scale.
  • Errors with fraction calculations.
Differentiation
SupportCircle the X's as you count them.
ChallengeCalculate the total length of all pencils combined.
Discussion Questions
  • Why do we use line plots?
  • Why is a line plot useful for this data?
  • What does each 'X' represent?
  • How would the plot change with more data?
  • Can you find the average pencil length?
Extension Activities
  • Measure items in the classroom and make a line plot.
Parent Tip

Measure items at home (e.g., toy car lengths) and create a simple line plot.

Learning Path
Skill Cluster

Data Analysis & Fractions

Estimated Time

15 minutes

Skills Practiced
Line plotsFractions on number line