Students complete nine fill-in-the-blank problems multiplying each fraction by its X-mark count to find group totals and the combined total for a paint-use line plot. The matching activity pairs four line plots with their total data values.
Calculating totals from line plots by multiplying fractions by frequencies — then adding group totals — is the core computation skill that connects fraction multiplication to data analysis at Grade 5.
Style:
Line Plots with Fractions
Part A: Fill in the Blank
Write the missing word or number on each line.
1. A line plot shows paint used in cups: 14→3 Xs, 12→5 Xs, 34→2 Xs. Total paint for the 14-cup entries: 34 cups.
2. Using the paint data, total paint for the 12-cup entries: 52 cups.
3. Using the paint data, total paint for ALL entries combined (write as a mixed number): 434 cups.
4. A line plot shows hours practiced: 18→2 Xs, 14→4 Xs, 38→3 Xs, 12→1 X. Total hours for the 14-hour entries: 1 hour(s).
5. Using the practice data, combined total hours for the 38 entries and the 12 entry (write as a fraction): 138.
6. A line plot shows package weights in pounds: 14→2 Xs, 12→6 Xs, 34→4 Xs, 1→3 Xs. Difference between total weight of 1-pound packages and 14-pound packages: 52 pounds.
7. Using the package data, total weight of all packages (write as a mixed number): 912 pounds.
8. A line plot shows distances run in miles: 14→3 Xs, 34→5 Xs, 1→2 Xs. Total distance run by students who ran 34 mile (mixed number): 334 miles.
9. Using the running data, if the 3 students who ran 14 mile each ran an extra 12 mile, their new total distance is 214 miles.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Line plot: 14→4 Xs, 12→2 Xs, 34→6 Xs. Total of all data values?
→ 612
312
Line plot: 18→2 Xs, 38→6 Xs, 58→2 Xs. Total of all data values?
→ 334
334
Line plot: 12→3 Xs, 1→5 Xs, 32→2 Xs. Difference between total of 1-unit values and total of 12-unit values?
→ 312
612
Line plot: 14→4 Xs, 34→4 Xs. Total of all data values?
→ 4
4
Line Plots with Fractions
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) A line plot shows paint used in cups: 1/4→3 Xs, 1/2→5 Xs, 3/4→2 Xs. Total paint for the 1/4-cup entries: 3/4 cups.
2) Using the paint data, total paint for the 1/2-cup entries: 5/2 cups.
3) Using the paint data, total paint for ALL entries combined (write as a mixed number): 4 3/4 cups.
4) A line plot shows hours practiced: 1/8→2 Xs, 1/4→4 Xs, 3/8→3 Xs, 1/2→1 X. Total hours for the 1/4-hour entries: 1 hour(s).
5) Using the practice data, combined total hours for the 3/8 entries and the 1/2 entry (write as a fraction): 13/8.
6) A line plot shows package weights in pounds: 1/4→2 Xs, 1/2→6 Xs, 3/4→4 Xs, 1→3 Xs. Difference between total weight of 1-pound packages and 1/4-pound packages: 5/2 pounds.
7) Using the package data, total weight of all packages (write as a mixed number): 9 1/2 pounds.
8) A line plot shows distances run in miles: 1/4→3 Xs, 3/4→5 Xs, 1→2 Xs. Total distance run by students who ran 3/4 mile (mixed number): 3 3/4 miles.
9) Using the running data, if the 3 students who ran 1/4 mile each ran an extra 1/2 mile, their new total distance is 2 1/4 miles.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
Line plot: 1/4→4 Xs, 1/2→2 Xs, 3/4→6 Xs. Total of all data values?
→ 6 1/2
3 1/2
Line plot: 1/8→2 Xs, 3/8→6 Xs, 5/8→2 Xs. Total of all data values?
→ 3 3/4
3 3/4
Line plot: 1/2→3 Xs, 1→5 Xs, 3/2→2 Xs. Difference between total of 1-unit values and total of 1/2-unit values?
→ 3 1/2
6 1/2
Line plot: 1/4→4 Xs, 3/4→4 Xs. Total of all data values?
→ 4
4
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