Primary 2 maths · Operations · About 8 minutes
Recall related multiplication and division facts
Follow the same counters as we group and share them.
Start the interactive lesson →Related practice: Times-table trails
What you will learn
- Recall related multiplication and division facts
Models used: number sentences, stories, diagrams.
Before you start
Give everyone an equal share
Share 12 counters between 4 children. Nobody has any yet.
Each plate is one share. Counters outside the plates have not been shared yet.
Share 12 counters between 4 children. Nobody has any yet.
Equal sharing means every share has the same amount. Check both conditions: the shares match, and all the starting objects are accounted for.
Friend 1: 0Friend 2: 0Friend 3: 0Friend 4: 0Each plate is one share. Counters outside the plates have not been shared yet.
Give each child one counter. Everyone must receive the same amount.
Equal sharing means every share has the same amount. Check both conditions: the shares match, and all the starting objects are accounted for.
Friend 1: 1Friend 2: 1Friend 3: 1Friend 4: 1Each plate is one share. Counters outside the plates have not been shared yet.
Keep going around. After three rounds, the counters are all shared.
Equal sharing means every share has the same amount. Check both conditions: the shares match, and all the starting objects are accounted for.
None leftFriend 1: 3Friend 2: 3Friend 3: 3Friend 4: 3There are 4 groups, with 3 objects in each group. Count a group before counting them all.
Each child receives 3. Four equal shares of 3 make our original 12.
12 ÷ 4 = 3
3 + 3 + 3 + 3 = 4 × 3 = 12
What did the picture help us see?
Each child receives 3. Four equal shares of 3 make our original 12.
Worked example: A new example, together
What is 27 ÷ 3?
Each plate is one share. Counters outside the plates have not been shared yet.
Follow the same counters as we group and share them.
Division finds how many equal-sized units make the total.
None leftFriend 1Friend 2Friend 3Each plate is one share. Counters outside the plates have not been shared yet.
27 ÷ 3 asks how many 3s make 27.
Equal sharing means every share has the same amount. Check both conditions: the shares match, and all the starting objects are accounted for.
None leftFriend 1Friend 2Friend 3What is 27 ÷ 3?
9
Each plate is one share. Counters outside the plates have not been shared yet.
3 × 9 = 27.
Equal sharing means every share has the same amount. Check both conditions: the shares match, and all the starting objects are accounted for.
None leftFriend 1Friend 2Friend 3Each plate is one share. Counters outside the plates have not been shared yet.
So 27 ÷ 3 = 9.
Equal sharing means every share has the same amount. Check both conditions: the shares match, and all the starting objects are accounted for.
None leftFriend 1Friend 2Friend 3Each plate is one share. Counters outside the plates have not been shared yet.
Check the result against the question we started with.
9 × 3 = 27.
We found 9. Division finds how many equal-sized units make the total.
None leftFriend 1Friend 2Friend 3
Common mistakes to discuss
- Learning each fact separately. One array gives four facts. 6 × 7 = 42 also tells us 7 × 6 = 42, 42 ÷ 6 = 7 and 42 ÷ 7 = 6.
Check your understanding
- Recall related multiplication and division facts
- connect multiplication and division
- check the answer against the original quantities and units
Explain your reasoning to an adult, then try a fresh question in the interactive lesson. A result from one attempt is not proof of lasting mastery.
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