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YEAR 1 · ADDITION AND SUBTRACTION · 12 MIN

Number bonds within 20

Learn pairs of parts that join to make totals up to twenty.

In this lesson

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

Understand the idea.

Parts that belong together

A number bond shows parts that join to make a whole. Six counters and four counters make ten: 6+4=10. Move one counter from the four to the six. The parts change to seven and three, but none disappear.

Use bonds you know

You can name the same parts in either order: 6+4 and 4+6 both make ten. For bigger totals, look for a ten you already have or can make. Two tens together make twenty.

02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

A bond to ten

What goes with seven to make ten?

Worked solution

  1. 1

    Keep seven as the known part.

    7+□=10

    The missing part must fill the gap from seven to ten.

  2. 2

    Count on until you reach ten.

    8, 9, 10

    Three new counts are needed after seven.

  3. 3

    Check the missing part.

    7+3=10

    Seven and three join to make the whole ten.

Answer

3; 7 + 3 = 10.

EXAMPLE 02

A bond to twenty

There are twelve red counters and eight blue counters. How many altogether?

Worked solution

  1. 1

    Split twelve into ten and two.

    12=10+2

    Keep the first ten together and work with the two extra ones.

  2. 2

    Join the two ones to the eight blue counters.

    2+8=10

    Those counters make a second group of ten.

  3. 3

    Join the two tens.

    10+10=20

    Both colour groups are included, giving twenty counters altogether.

Answer

20 counters.

03 / YOUR TURN

Try it yourself.

Check your understanding

What goes with nine to make ten?

Show answer & reasoning

1

Nine needs just one more to reach ten: 9+1=10. The missing part is 1.

Keep practising

6 worksheet questions

Read the questions online
  1. Complete: 6+_⁢_=10.
  2. Complete: 10+_⁢_=16.
  3. Complete: 8+2=_⁢_.
  4. Write the same bond in the other order: 5+7=12.
  5. Complete: 9+_⁢_=20.
  6. Luca says 4+6=10 but 6+4=11. Explain the mistake.
Read the worked solutions
  1. Complete: 6+_⁢_=10.

    Count on from six: seven, eight, nine, ten.

    4
  2. Complete: 10+_⁢_=16.

    Sixteen is ten and six.

    6
  3. Complete: 8+2=_⁢_.

    Eight and two make ten.

    10
  4. Write the same bond in the other order: 5+7=12.

    The same parts still make twelve.

    7+5=12.
  5. Complete: 9+_⁢_=20.

    Nine and one make ten; another ten makes twenty.

    11
  6. Luca says 4+6=10 but 6+4=11. Explain the mistake.

    The parts are the same; only their order changed.

    Both sums are 10.
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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