Students correct three line plot errors — mode confused with the largest fraction, data points counted as positions instead of X marks, and fewest X marks misidentified. Part B has four questions reading mode, total count, and frequencies. Part C has two questions comparing counts and identifying mode.
Correcting the three most common line plot reading errors — mode, total count, and frequency comparisons — establishes the accurate X-mark counting skills students need for all fraction line plot work.
Style:
Line Plots with Fractions
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
A line plot shows: 18→2 Xs, 28→4 Xs, 38→1 X, 48→3 Xs. A student says the mode is 48 because it is the largest fraction.
Rewrite: The mode is 28 because it has the most X marks (4 Xs). Mode means the most frequent value, not the largest.
2. Fix the sentence:
A line plot shows: 14→3 Xs, 12→5 Xs, 34→2 Xs. A student says there are 3 data points total.
Rewrite: There are 10 data points total (3 + 5 + 2 = 10). Each X mark represents one data point, not each position on the line.
3. Fix the sentence:
A line plot shows: 14→1 X, 12→3 Xs, 34→2 Xs, 1→4 Xs. A student says 12 has the fewest X marks.
Rewrite: 14 has the fewest X marks with only 1 X. The value 12 has 3 Xs, which is not the fewest.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. A line plot shows ribbon lengths in yards: 14→2 Xs, 12→6 Xs, 34→3 Xs, 1→1 X. The most common ribbon length is 12.
2. A line plot shows ribbon lengths in yards: 14→2 Xs, 12→6 Xs, 34→3 Xs, 1→1 X. The total number of ribbons measured is 12.
3. A line plot shows amounts of water in cups: 18→3 Xs, 38→5 Xs, 58→2 Xs, 78→4 Xs. The number of containers with 78 cup is 4.
4. A line plot shows amounts of water in cups: 18→3 Xs, 38→5 Xs, 58→2 Xs, 78→4 Xs. The value with the fewest X marks is 58.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. A line plot shows caterpillar lengths in inches: 14→4 Xs, 12→2 Xs, 34→5 Xs, 1→1 X. How many more caterpillars measured 34 inch than 12 inch? Explain how you found your answer.
I looked at 34 inch (5 Xs) and 12 inch (2 Xs). Then I subtracted: 5 − 2 = 3. So 3 more caterpillars measured 34 inch than 12 inch.
2. A line plot shows juice amounts in cups: 18→2 Xs, 28→6 Xs, 38→3 Xs, 48→1 X. What is the mode? Explain what the mode tells you.
The mode is 28 cup because it has the most X marks (6 Xs). This tells us that more containers held 28 cup than any other amount.
Line Plots with Fractions
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
A line plot shows: 1/8→2 Xs, 2/8→4 Xs, 3/8→1 X, 4/8→3 Xs. A student says the mode is 4/8 because it is the largest fraction.
Rewrite: The mode is 2/8 because it has the most X marks (4 Xs). Mode means the most frequent value, not the largest.
2) Fix the sentence:
A line plot shows: 1/4→3 Xs, 1/2→5 Xs, 3/4→2 Xs. A student says there are 3 data points total.
Rewrite: There are 10 data points total (3 + 5 + 2 = 10). Each X mark represents one data point, not each position on the line.
3) Fix the sentence:
A line plot shows: 1/4→1 X, 1/2→3 Xs, 3/4→2 Xs, 1→4 Xs. A student says 1/2 has the fewest X marks.
Rewrite: 1/4 has the fewest X marks with only 1 X. The value 1/2 has 3 Xs, which is not the fewest.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) A line plot shows ribbon lengths in yards: 1/4→2 Xs, 1/2→6 Xs, 3/4→3 Xs, 1→1 X. The most common ribbon length is 1/2.
2) A line plot shows ribbon lengths in yards: 1/4→2 Xs, 1/2→6 Xs, 3/4→3 Xs, 1→1 X. The total number of ribbons measured is 12.
3) A line plot shows amounts of water in cups: 1/8→3 Xs, 3/8→5 Xs, 5/8→2 Xs, 7/8→4 Xs. The number of containers with 7/8 cup is 4.
4) A line plot shows amounts of water in cups: 1/8→3 Xs, 3/8→5 Xs, 5/8→2 Xs, 7/8→4 Xs. The value with the fewest X marks is 5/8.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) A line plot shows caterpillar lengths in inches: 1/4→4 Xs, 1/2→2 Xs, 3/4→5 Xs, 1→1 X. How many more caterpillars measured 3/4 inch than 1/2 inch? Explain how you found your answer.
I looked at 3/4 inch (5 Xs) and 1/2 inch (2 Xs). Then I subtracted: 5 − 2 = 3. So 3 more caterpillars measured 3/4 inch than 1/2 inch.
2) A line plot shows juice amounts in cups: 1/8→2 Xs, 2/8→6 Xs, 3/8→3 Xs, 4/8→1 X. What is the mode? Explain what the mode tells you.
The mode is 2/8 cup because it has the most X marks (6 Xs). This tells us that more containers held 2/8 cup than any other amount.
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