Divide by Finding the Number of Groups
Make groups containing the stated number of objects.
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: There are 42 cards and each packet holds seven.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
Group-counting division gives the total and the size of each group. The unknown is how many full groups can be made. Circle groups of the stated size until the total is used. The quotient counts groups, unlike equal sharing where it counts objects per share.
Make groups containing the stated number of objects. Count complete groups and check that none of the supplied total is missing. Multiply group count by group size to verify the total.
Write the packet size inside each group-circle. Do not report the supplied group size as the missing group count. Circle complete groups of the supplied size and count the circles.
- Circle complete groups of the supplied size and count the circles.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Make groups containing the stated number of objects.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
There are 42 cards and each packet holds seven. Six full packets can be made because 6×7=42. Here six counts packets, not cards in a packet. Seven was already the supplied packet size. The labels distinguish this interpretation from sharing among seven people. Write the packet size inside each group-circle. Do not report the supplied group size as the missing group count. Circle complete groups of the supplied size and count the circles.
Check your reasoning
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Helpful tips
- Write the packet size inside each group-circle.
- Do not report the supplied group size as the missing group count.
See the answer and explanation
3
The quotient gives the number of groups of the known size. The result is 3.
Take it further
Pack 72 cards in groups of eight. Expected: nine packets.
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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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