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Year 2 · Multiplication and division · 12 min

Sharing/grouping

Tell the difference between sharing among groups and making groups of a chosen size.

01 / LEARN

The idea, step by step

Sharing: find each share

To share 12 crackers fairly among 3 children, give one to each child in turns until none remain. Each child gets 4. The number of children is known; the size of each share is what we find.

Grouping: find how many groups

To pack 12 crackers with 3 in each bag, make a group of 3, then another, until none remain. Four bags are needed. The size of each group is known; the number of groups is what we find.

A common trap

Giving an answer without saying whether it counts groups or objects per group.

Instead: Read what is missing. Write units such as 4 bags or 4 crackers each.

02 / WORKED EXAMPLES

See the thinking

Example 1

Find a fair share

Share 10 counters equally between 2 children.

  1. Give each child one counter in turn.
  2. Each receives 5; check 5 + 5 = 10.
5 counters each.
Example 2

Find the number of bags

Pack 15 apples with 5 apples in each bag. How many bags?

  1. Make groups of 5: 5, 10, 15.
  2. There are three groups.
3 bags.

Check your understanding

Share 8 pencils equally among 4 children. How many pencils each?

Show answer

2 pencils each.

Four groups of 2 use all 8 pencils.

03 / WORKSHEET

Your turn

6 questions · Work at your own pace.

Read the questions online
  1. Share 6 grapes equally between 2 children.
  2. Share 12 counters equally among 3 plates.
  3. Pack 10 buttons in pairs. How many pairs?
  4. Make groups of 4 from 16 blocks. How many groups?
  5. Share 9 strawberries equally among 3 friends.
  6. There are 12 pencils. Story A shares them among 4 children. Story B puts 4 pencils in each cup. Give both answers with units.
Read the worked solutions
  1. Share 6 grapes equally between 2 children.

    3 + 3 = 6.

    3 grapes each.
  2. Share 12 counters equally among 3 plates.

    4 + 4 + 4 = 12.

    4 counters on each plate.
  3. Pack 10 buttons in pairs. How many pairs?

    Count 2, 4, 6, 8, 10.

    5 pairs.
  4. Make groups of 4 from 16 blocks. How many groups?

    4 + 4 + 4 + 4 = 16.

    4 groups.
  5. Share 9 strawberries equally among 3 friends.

    3 + 3 + 3 = 9.

    3 strawberries each.
  6. There are 12 pencils. Story A shares them among 4 children. Story B puts 4 pencils in each cup. Give both answers with units.

    Both use groups of 4 and 3, but the question asks for a different kind of amount.

    A: 3 pencils each. B: 3 cups.
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Multiplication facts for two

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Curriculum reference & lesson scope

Australian Curriculum v9 and SA Curriculum Mathematics

Equal groups; arrays; repeated addition; sharing/grouping; twos facts; doubling and halving.

Official curriculum source ↗
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