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YEAR 2 · ADDITION AND SUBTRACTION · 12 MIN

Facts within 20

Use known facts and ten to work out addition and subtraction within 20.

In this lesson

Before you start
  • Count forwards and backwards to 20.
01 / LEARN

Understand the idea.

Use a friendly ten

Use a nearby ten to make adding easier. For 8+5, the 8 needs 2 to reach 10. Split 5 into 2+3, make the ten, then add the remaining 3. Both parts of the 5 are used.

8+5=8+2+3=13

Use what you know

A known fact can unlock another fact. Since 6+6=12, adding 6+7 gives one more: 13. Addition also checks subtraction: if 7+8=15, then removing 7 from 15 leaves 8.

02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

Make ten

Find 9 + 6.

Worked solution

  1. 1

    Split six to complete a ten.

    6=1+5

    Nine needs one more to reach ten, leaving five still to add.

  2. 2

    Make the ten.

    9+1=10

    Using the first part of six reaches a friendly total.

  3. 3

    Add the remaining part.

    10+5=15

    The one and five together account for all six added ones.

Answer

15

EXAMPLE 02

Use an addition fact

Find 14 − 6.

Worked solution

  1. 1

    Turn subtraction into a missing-part question.

    6+□=14

    Removing six from fourteen leaves the amount needed to join six and make fourteen.

  2. 2

    Count on through ten.

    6+4=10,10+4=14

    Four more reaches ten, and another four reaches fourteen.

  3. 3

    Join the two jumps.

    4+4=8

    The missing part is eight, so 14−6=8.

Answer

8

03 / YOUR TURN

Try it yourself.

Check your understanding

Find 7 + 6 using a double.

Show answer & reasoning

13

Double seven is 7+7=14. In 7+6, the second part is one less, so the total is also one less: 14−1=13.

Keep practising

6 worksheet questions

Read the questions online
  1. Find 8+4.
  2. Find 6+6.
  3. Find 9+8.
  4. Find 16−7.
  5. Find 13−5.
  6. Explain a way to find 8+7 without counting by ones.
Read the worked solutions
  1. Find 8+4.

    8+2+2=12.

    12
  2. Find 6+6.

    Double 6 is 12.

    12
  3. Find 9+8.

    9+1+7=17.

    17
  4. Find 16−7.

    7+9=16.

    9
  5. Find 13−5.

    5+8=13.

    8
  6. Explain a way to find 8+7 without counting by ones.

    Split 7 into 2 and 5, then make ten.

    For example, 8+2+5=15.
Checking saved progress…
Curriculum reference & lesson scope

Australian Curriculum v9 and SA Curriculum Mathematics

Facts within 20; one-/two-digit calculations; partitioning; related facts; missing numbers; checking.

Official curriculum source ↗

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