Grade 3 · lesson 2 of 4

Read Measurements on a Fraction-Marked Line Plot

Read the supplied fractional measurements and place each above its labeled location.

About 15 minutes, plus any extended practice

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Supplied materials

  • Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
  • Supplied worked-case record: Measurements are 1/2,3/4,3/4,1 inch.
  • All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.

Learn the idea

A line plot can record lengths between whole units. Divide each whole interval into equal halves or fourths according to the scale. Every observation receives one mark at its value. Repeated marks show frequency, not a larger individual length.

Read the supplied fractional measurements and place each above its labeled location. Count repeats at the requested value. Check that the number of marks equals the number of supplied observations.

Make the fractional intervals equally spaced. Frequency marks count observations rather than adding their measured lengths. Divide each whole-unit segment into four equal intervals before plotting.

  1. Divide each whole-unit segment into four equal intervals before plotting.
  2. Follow the worked example. Point to each number or shape feature and say what it tells you.
  3. Read the supplied fractional measurements and place each above its labeled location.
  4. Try the question and then the three practice questions. Check your answers and explain any change you make.
Worked example

See the method in action

Measurements are 1/2,3/4,3/4,1 inch. A quarter-inch scale puts two marks at 3/4, one at 1/2, and one at 1. Four marks represent four observations. The two marks at 3/4 do not change either observed length. Make the fractional intervals equally spaced. Frequency marks count observations rather than adding their measured lengths. Divide each whole-unit segment into four equal intervals before plotting.

Your turn

Check your reasoning

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Helpful tips
  • Make the fractional intervals equally spaced.
  • Frequency marks count observations rather than adding their measured lengths.
Lengths in inches are ['1/2', '1/2', '3/4', '1']. How many measurements equal 1/2?

Feedback appears here after you check. This is practice, not a graded school assessment.

See the answer and explanation

2

Count the occurrences of the requested fractional length. The result is 2.

Take it further

Plot 1/4,1/2,1/2,3/4. Expected: one, two, and one marks at those locations.

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More practice: try new cases

Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.

More practice: try new cases
1. Lengths in inches are ['1/4', '3/4', '3/4', '3/4']. How many measurements equal 3/4?
Need a hint?
  • Make the fractional intervals equally spaced.
  • Frequency marks count observations rather than adding their measured lengths.
2. Lengths in inches are ['1', '1/2', '1/2', '3/4', '1']. How many measurements equal 1?
Need a hint?
  • Make the fractional intervals equally spaced.
  • Frequency marks count observations rather than adding their measured lengths.
3. Lengths in inches are ['3/4', '3/4', '1', '1/4', '3/4']. How many measurements equal 3/4?
Need a hint?
  • Make the fractional intervals equally spaced.
  • Frequency marks count observations rather than adding their measured lengths.

Your choices are temporary. Feedback appears after you check all the answers.

Nothing here is saved to an account or sent to a teacher. Keep your own notes or download them before leaving. The score describes these questions; it does not certify subject mastery.

Check the subject sources

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