Grade 5 Line Plots Worksheet
Read fractional measurements on a line plot and combine their lengths. Choose supported, standard, or challenge practice with a worked example, printable visual, and explained answers.
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Fraction measurement line plots
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Read fractional measurements on a line plot and combine their lengths.
Grade 5 measurement practice with quarter-meter units. Each dot represents one ribbon. Totals use the frequency of each length; distinguish a number of pieces from a length in meters.
Supported practice
Example: The two dots over 1/4 mean two separate ribbons, each 1/4 meter long.
1. How many ribbons are 1/2 meter long?
2. What is the length of the longest ribbon?
3. How many ribbons are shown altogether?
4. What is the combined length of the two 1/4-meter ribbons?
Supported answers
1. 3 ribbons; count the three dots over 1/2.
2. 1 meter.
3. 8 ribbons: 2 + 3 + 1 + 2.
4. 1/2 meter: 1/4 + 1/4 = 2/4.
Standard practice
Example: Three half-meter ribbons have total length 3 × 1/2 = 1 1/2 meters.
1. How many ribbons are at least 3/4 meter long?
2. Find the difference between the longest and shortest lengths.
3. Find the total length of all eight ribbons.
4. How much ribbon do the 3/4-meter ribbon and one 1-meter ribbon make together?
Standard answers
1. 3 ribbons: one at 3/4 and two at 1.
2. 3/4 meter: 1 − 1/4.
3. 4 3/4 meters: 2 × 1/4 + 3 × 1/2 + 1 × 3/4 + 2 × 1 = 19/4.
4. 1 3/4 meters.
Challenge practice
Example: Cutting a ribbon changes the number of pieces, but preserves total length if no material is lost.
1. Cut one of the 1-meter ribbons into two equal pieces. Give the new counts at 1/2 and 1.
2. After that cut, how many pieces are there and what is their total length?
3. Could the original pieces be arranged into a total of exactly 2 meters? Give one selection.
4. A student adds 1/4 + 1/2 + 3/4 + 1 and calls it the total. What was missed?
Challenge answers
1. There are 5 half-meter pieces and 1 one-meter piece.
2. 9 pieces, still 4 3/4 meters. One piece became two; no length was lost.
3. Yes: both 1-meter ribbons. Other valid selections include one 1-meter ribbon and two 1/2-meter ribbons.
4. The student counted each length label once instead of each ribbon. Repeated lengths must be included according to their dot counts.
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