Combining Data Practice
Combine matching categories while checking units and overlap. Choose supported, standard, or challenge practice with a worked example, printable visual, and explained answers.
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Combining class data
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Combine matching categories while checking units and overlap.
Grade 5 review and application of earlier data skills. Use the stated units and scales. These activities do not claim to cover an entire Grade 5 standard.
Supported practice
Example: Both columns count books donated. Combine story books by adding 8 + 6 = 14.
1. How many science books did A donate?
2. Find the combined science books.
3. Find the combined history books.
4. Which category has 14 books when combined?
Supported answers
1. 5 books.
2. 12 books: 5 + 7.
3. 7 books: 3 + 4.
4. Stories: 8 + 6 = 14.
Standard practice
Example: Combine like categories first, then check the total by adding the class totals.
1. Write the three combined category counts.
2. How many books did each class donate?
3. What is the total donation? Show a check.
4. How many more story than history books were donated?
Standard answers
1. Stories 14, Science 12, History 7.
2. Class A: 16. Class B: 17.
3. 33 books. Categories: 14 + 12 + 7; classes: 16 + 17.
4. 7 more: 14 − 7.
Challenge practice
Example: Adding two totals is safe only when they use the same units and do not count the same objects twice.
1. Two books from A were mistakenly also included in B’s total. What is the corrected overall total?
2. Could we add “5 boxes” to “7 books” and report 12 books? Explain.
3. Class C donates 4 science books. What are the new science and overall totals?
4. Could you work out which category contained the two duplicate books from the overall totals alone?
Challenge answers
1. 31 distinct books: 33 − 2. Each duplicated book was counted one extra time.
2. No. Boxes and books are different units; we need the number of books in each box.
3. Science 16; overall 37. Add 4 to each original total.
4. No. The category or individual-book records are needed.
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