Divide and Interpret the Remainder
Use the supplied group size to find the greatest number of complete groups.
About 25 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: Divide 94 cards into packets of seven.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
Whole-number division finds how many complete groups fit and what remains. The identity dividend = divisor × quotient + remainder checks the result. The remainder must be smaller than the divisor. The story determines whether to report leftovers, round up for capacity, or count only full groups.
Use the supplied group size to find the greatest number of complete groups. Record any leftover objects, then check with multiplication and addition. Answer the stated complete-group question without silently adding a partly filled group.
Check that the remainder is smaller than one full group. Round up only when the question requires capacity for every item. Write dividend = divisor × quotient + remainder beside a grouped model.
- Write dividend = divisor × quotient + remainder beside a grouped model.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Use the supplied group size to find the greatest number of complete groups.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
Divide 94 cards into packets of seven. Thirteen full packets use 91 cards, leaving three: 94=7×13+3. There are thirteen complete packets. If the task instead asks for containers for all cards, fourteen are needed. Both answers reflect the same division but different requests. Check that the remainder is smaller than one full group. Round up only when the question requires capacity for every item. Write dividend = divisor × quotient + remainder beside a grouped model.
Check your reasoning
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Helpful tips
- Check that the remainder is smaller than one full group.
- Round up only when the question requires capacity for every item.
See the answer and explanation
16
Use the quotient for full packets; a partial packet is not completely filled. The result is 16.
Take it further
Pack 125 cards in groups of eight. Expected: fifteen full groups and five leftover; sixteen containers for all cards.
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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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