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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.

In this lesson

Before you start
  • Count collections to 20 and split a whole into parts.
01 / LEARN

Understand the idea.

Start with a useful part

To count on, keep one number and say only the extra counts. For 9+2, say ten, eleven. Starting with the larger part usually means fewer counts. Swapping the parts of an addition does not change the total.

Make ten, then add the rest

To make ten, split one part so that some of it fills the gap to ten. For 8+5, use two of the five with eight, then add the other three. Keep track of both pieces so none are missed.

02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

Count on a little

Find 3 + 11.

Worked solution

  1. 1

    Start with the larger part.

    3+11=11+3

    Joining three and eleven gives the same total in either order.

  2. 2

    Count on three from eleven.

    12, 13, 14

    These are three new counts; eleven is the starting point.

  3. 3

    Record the total.

    3+11=14

    The three added ones take eleven to fourteen.

Answer

14

EXAMPLE 02

Make ten

Find 8 + 5.

Worked solution

  1. 1

    Find what eight needs to reach ten.

    8+2=10

    Two fills the gap to ten.

  2. 2

    Split five into two and the rest.

    5=2+3

    Using two of the five leaves three still to add.

  3. 3

    Add those three to ten.

    10+3=13

    The two and three together account for all five, so eight plus five is thirteen.

Answer

13

03 / YOUR TURN

Try it yourself.

Check your understanding

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

Show answer & reasoning

13

Split four into one and three. First 9+1=10, then 10+3=13, so 9+4=13.

Keep practising

6 worksheet questions

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.
Checking saved progress…
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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