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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.

In this lesson

Before you start
  • Count equal groups and arrays.
01 / LEARN

Understand the idea.

Sharing: find each share

Sharing tells you how many people or groups there are, and asks how much each gets. To share twelve crackers among three children, give one to each in turns. Equal shares use all twelve and give each child four.

Grouping: find how many groups

Grouping tells you how many objects go in each group, and asks how many groups you can make. Pack twelve crackers three per bag: four complete bags use them all. Always say whether your answer counts bags or crackers in each bag.

02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

Find a fair share

Share 10 counters equally between 2 children.

Worked solution

  1. 1

    Share one counter to each child in turns.

    10÷2=5

    Each round gives both children one counter, so their shares remain equal.

  2. 2

    Check both shares against the total.

    5+5=10

    Five counters each uses all ten with none left over.

Answer

5 counters each.

EXAMPLE 02

Find the number of bags

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

Worked solution

  1. 1

    Make complete groups of five apples.

    5, 10, 15

    Each count adds one filled bag, and the third count uses all fifteen apples.

  2. 2

    Count the filled bags.

    15÷5=3

    There are three groups of five, so three bags are needed.

Answer

3 bags.

03 / YOUR TURN

Try it yourself.

Check your understanding

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

Show answer & reasoning

2 pencils each.

Give each child two pencils. Four equal shares use 2+2+2+2=8 pencils, so each child receives two.

Keep practising

6 worksheet questions

Open worksheet Worked solutions
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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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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