Sharing and grouping: division
Maths · Key Stage 1 · The School
Sharing: one each, round and round
Share 12 sweets between 3 children. Deal one at a time. Go round the group again and again. Stop when none are left. Each child gets 4. This is sharing. You know the number of groups. You find the size of each one.
Grouping: how many groups fit?
Ask a new question about the same 12 sweets. How many bags of 3 can you fill? Count out 3. Then 3 more. Then 3 more. Then 3 more. Four bags. Nothing left. This is grouping. You know the size of each group. You find how many groups fit.
Same numbers, two different questions
Sharing 12 between 3 gives 4 each. Grouping 12 into bags of 3 also gives 4 bags. Both are written 12 ÷ 3 = 4. Both give 4. But they ask different real questions. Knowing which one you are answering is the real skill.
Division undoes multiplication
3 groups of 4 makes 12. That is 3 × 4 = 12. Read it backward and you get division. 12 shared into 3 groups gives 4 back. That is 12 ÷ 3 = 4. Every times-table fact hides a division fact inside it.
One problem, worked both ways
20 crayons need sharing between 4 children. Sharing way: deal one crayon at a time, round and round, until all 20 are gone. 5 each. Grouping way: how many groups of 4 fit into 20? Count 4, 4, 4, 4, 4. Five groups. Same numbers. Same answer. Two different ways to get there.