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Year 2 · Multiplication and division · 12 min

Repeated addition

Write repeated addition for equal groups and explain what each addend counts.

01 / LEARN

The idea, step by step

Repeat the group size

Repeated addition joins the same-sized group more than once. Four groups of 3 are written 3 + 3 + 3 + 3. Each 3 counts the objects in one group. There are four addends because there are four groups.

Check that groups match

Only equal groups give repeated addition with the same addend. Bags containing 2, 2 and 5 marbles can be added, but they are not three equal groups. Draw a circle around each group to check the matching sizes.

A common trap

Writing 4 + 3 for four groups of three.

Instead: Repeat the 3 four times. The number of groups is not an extra addend.

02 / WORKED EXAMPLES

See the thinking

Example 1

Write a story as addition

There are 3 boxes with 5 toy cars in each. Find the total.

  1. Write one 5 for each box: 5 + 5 + 5.
  2. Add 5 + 5 = 10, then 10 + 5 = 15.
15 toy cars.
Example 2

Read an addition

Make an equal-groups story for 2 + 2 + 2 + 2.

  1. There are four addends, each equal to 2.
  2. One story is 4 pairs of mittens.
4 groups of 2 make 8 mittens.

Check your understanding

Write repeated addition for 3 groups of 2.

Show answer

2 + 2 + 2 = 6

Each group contributes another 2.

03 / WORKSHEET

Your turn

6 questions · Work at your own pace.

Read the questions online
  1. Write repeated addition for 4 groups of 2.
  2. Write repeated addition for 2 groups of 6.
  3. Find 5 + 5 + 5 + 5.
  4. How many equal groups are shown by 3 + 3 + 3?
  5. A caterpillar has 3 body parts with 2 spots on each. Write an addition and total.
  6. Is 4 + 4 + 2 an addition of three equal groups? Explain.
Read the worked solutions
  1. Write repeated addition for 4 groups of 2.

    Write one 2 for each of the four groups.

    2 + 2 + 2 + 2 = 8
  2. Write repeated addition for 2 groups of 6.

    There are two equal addends.

    6 + 6 = 12
  3. Find 5 + 5 + 5 + 5.

    Count 5, 10, 15, 20.

    20
  4. How many equal groups are shown by 3 + 3 + 3?

    There are three addends, each counting one group.

    3 groups.
  5. A caterpillar has 3 body parts with 2 spots on each. Write an addition and total.

    Count one group of two spots per body part.

    2 + 2 + 2 = 6 spots.
  6. Is 4 + 4 + 2 an addition of three equal groups? Explain.

    The addends must be equal to describe equal-sized groups.

    No. The last group has 2 instead of 4.
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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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