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Year 1 · Addition and subtraction · 12 min

Counting-on and make-ten strategies

Count on from a useful number or make a ten to add efficiently.

01 / LEARN

The idea, step by step

Start with a useful part

For 9 + 2, keep nine in your head. Count on two steps: ten, eleven. You do not need to start again at one.

If the larger number comes second, swap the parts: 2 + 9 has the same answer as 9 + 2.

Make ten, then add the rest

Ten is easy to build on. For 8 + 5, split the five into two and three. Put two with eight to make ten.

Add the remaining three to ten. You used all five, so the total is thirteen.

A common trap

Making ten but forgetting the leftover part.

Instead: Split the second part carefully. After making ten, add everything left over.

02 / WORKED EXAMPLES

See the thinking

Example 1

Count on a little

Find 3 + 11.

  1. Keep eleven and count on three.
  2. Say twelve, thirteen, fourteen.
  3. The answer is fourteen.
14
Example 2

Make ten

Find 8 + 5.

  1. Eight needs two to reach ten.
  2. Split five into two and three.
  3. 8 + 5 = 10 + 3 = 13.
13

Check your understanding

Use make ten for 9 + 4. What is the answer?

Show answer

13

Split four into one and three: nine plus one is ten; add three.

03 / WORKSHEET

Your turn

6 questions · Work at your own pace.

Read the questions online
  1. Count on to find 12 + 2.
  2. Find 2 + 9 by counting on from the larger number.
  3. Make ten to find 7 + 5.
  4. Make ten to find 6 + 8.
  5. Ivy says 8 + 4 = 10 because eight needs two to make ten. What did she forget?
  6. Find 9 + 6. Show the split you use to make ten.
Read the worked solutions
  1. Count on to find 12 + 2.

    Start at twelve; count thirteen, fourteen.

    14
  2. Find 2 + 9 by counting on from the larger number.

    Start at nine; count ten, eleven.

    11
  3. Make ten to find 7 + 5.

    Split five into three and two: 7 + 3 + 2 = 12.

    12
  4. Make ten to find 6 + 8.

    Six needs four; split eight into four and four: 10 + 4 = 14.

    14
  5. Ivy says 8 + 4 = 10 because eight needs two to make ten. What did she forget?

    Four was split into two and two; both parts must be used.

    She forgot the other two. The total is 12.
  6. Find 9 + 6. Show the split you use to make ten.

    9 + 1 = 10; 10 + 5 = 15.

    15; split six into one and five.
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Curriculum reference & lesson scope

Australian Curriculum v9 and SA Curriculum Mathematics

Year 1 additive situations and number bonds within twenty.

Official curriculum source ↗
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