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Year 1 · Equal groups and sharing · 12 min

Counting grouped collections

Count equal groups efficiently while keeping track of every group.

01 / LEARN

The idea, step by step

Count one whole group at a time

When each group has two objects, you can count in twos. Three groups are counted 2, 4, 6.

Each number is the total so far. Touch one group each time you say the next number.

Choose a way that works

Groups of five can be counted 5, 10, 15. Groups of ten can be counted 10, 20.

For an unfamiliar group size, count every object or add one group at a time. You do not need to guess a times-table fact.

A common trap

Counting the groups but calling that the number of objects.

Instead: Three baskets is not three blocks. Count all the blocks inside the baskets too.

02 / WORKED EXAMPLES

See the thinking

Example 1

Count pairs

There are five trays. Each tray has two counters. How many counters altogether?

  1. Count one tray at a time.
  2. Say 2, 4, 6, 8, 10.
  3. The fifth count gives the total.
10 counters.
Example 2

Groups of four

There are three baskets with four blocks in each. How many blocks?

  1. The first basket has four.
  2. Add four from the second basket to make eight.
  3. Add four from the third to make twelve.
12 blocks.

Check your understanding

There are two packs of ten pencils. How many pencils?

Show answer

20 pencils.

Count ten for the first pack and twenty for both packs.

03 / WORKSHEET

Your turn

6 questions · Work at your own pace.

Read the questions online
  1. Four pairs of shoes contain how many shoes?
  2. Three bags each hold five counters. Find the total.
  3. Two boxes each hold ten crayons. Find the total.
  4. Four plates each have three grapes. How many grapes?
  5. Lily counts four groups of two as 2, 4, 6. What is missing?
  6. Three trays each hold four cups. Draw the groups and label the total.
Read the worked solutions
  1. Four pairs of shoes contain how many shoes?

    Count 2, 4, 6, 8.

    8 shoes.
  2. Three bags each hold five counters. Find the total.

    Count 5, 10, 15.

    15 counters.
  3. Two boxes each hold ten crayons. Find the total.

    Count 10, 20.

    20 crayons.
  4. Four plates each have three grapes. How many grapes?

    Count the grapes in each plate: 3, 6, 9, 12, or count all twelve.

    12 grapes.
  5. Lily counts four groups of two as 2, 4, 6. What is missing?

    She must say one total for each of the four groups.

    The fourth count, 8.
  6. Three trays each hold four cups. Draw the groups and label the total.

    4 and 4 make 8; another 4 makes 12.

    12 cups.
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Curriculum reference & lesson scope

Australian Curriculum v9 and SA Curriculum Mathematics

Practical Year 1 grouping and equal sharing with whole objects.

Official curriculum source ↗
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