Answer Questions from Three Category Counts
Copy the three supplied category labels and counts.
About 15 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: The supplied votes are apples 6, oranges 4, pears 3.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
A category record gives one count for each labeled group. Add counts to find the whole sample. Subtract counts to compare categories. These operations answer different questions, so identify which count the question requests before calculating.
Copy the three supplied category labels and counts. For a total, add all three once. For a comparison, use only the two named categories and subtract the smaller from the larger.
Keep category labels beside their counts. A total uses all categories; a difference uses the two compared categories. Draw one column of tally marks beneath each category label.
- Draw one column of tally marks beneath each category label.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Copy the three supplied category labels and counts.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
The supplied votes are apples 6, oranges 4, pears 3. There are 13 votes altogether: 6+4+3. Apples have two more votes than oranges: 6−4. The total thirteen does not answer the comparison, and the difference two does not count all votes. Keep category labels beside their counts. A total uses all categories; a difference uses the two compared categories. Draw one column of tally marks beneath each category label.
Check your reasoning
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Helpful tips
- Keep category labels beside their counts.
- A total uses all categories; a difference uses the two compared categories.
See the answer and explanation
10
Add every category once to find the sample total. The result is 10.
Take it further
For counts 7,5,4, find the total and largest-minus-smallest. Expected: 16 and 3.
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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.
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Check the subject sources
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