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5th grade · Math · Unit 15 of 15

Line Plots with Fractions

Halves, quarters and eighths

What your child practices

Reading line plots of measurements in halves, quarters and eighths, and using fraction addition, subtraction and multiplication to answer questions about the data.

New York State Learning Standards learning standard: NY-5.MD.2 · making and reading line plots of measurements in fractions of a unit and solving problems with the data

How we explain it

Children can open this short lesson before they practice.

  1. A line plot puts an X above the value of each measurement.
  2. To total the X marks at one value, multiply: 3 marks at 1/4 is 3 × 1/4 = 3/4.
  3. Add the totals for every value to get the total of all the measurements.

Example: A line plot shows 2 X marks at 1/2 inch and 3 X marks at 3/4 inch. What is the total length? 2 × 1/2 = 1. 3 × 3/4 = 9/4 = 2 1/4. 1 + 2 1/4 = 3 1/4. Answer: 3 1/4 inches

Line Plots with Fractions in New York

In the New York State Learning Standards, this is unit 15 of 15 in 5th grade Math, after Volume of Boxes.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: New York State Education Department (NYSED)

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    What is the difference between the greatest and the least measurement?

    Ribbon pieces (inches)
    Measurement (inches)X marks
    1/8X X
    1/4X X X
    3/4X X X X
    7/8X X X X
    1 1/2X X X X
    • 1 1/2 inches
    • 1 5/8 inches
    • 1 3/8 inches
    • 11/16 inch

  2. Question 2

    What is the total weight of the bags at 5/8 pound?

    Bags of trail mix (pounds)
    Measurement (pounds)X marks
    1/4X X X
    5/8X X X X
    3/4X X X X
    1X X
    1 1/4X X
    • 5/16 pound
    • 2 1/2 pounds
    • 1 1/8 pounds
    • 5/8 pound

  3. Question 3

    Three X marks are at 1/2 inch. What length do they make together?

    • 1 1/2 inches
    • 1/6 inch
    • 1/2 inch
    • 3 1/2 inches

  4. Question 4

    Each X is one of the ribbon pieces. How many ribbon pieces are there?

    Ribbon pieces (inches)
    Measurement (inches)X marks
    1/2X X
    5/8X X X X
    7/8X X
    1X
    1 1/4X
    • 5
    • 10
    • 12
    • 11

  5. Question 5

    How many days measured more than 1/2 inch?

    Rain each day (inches)
    Measurement (inches)X marks
    1/8X X X X
    1/4X
    5/8X X
    7/8X X X X
    1X X X X
    • 7
    • 3
    • 10
    • 11

  6. Question 6

    All the measurements are put together. What is the total weight?

    Bags of trail mix (pounds)
    Measurement (pounds)X marks
    1/4X X
    1/2X X X X
    3/4X X X X
    1X X X X
    • 10 1/2 pounds
    • 9 pounds
    • 9 1/2 pounds
    • 2 1/2 pounds

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