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Number bonds to ten

Method: Fill a ten-frame

Ten can be split into two parts. When one part is shown, the missing part is the empty spaces in a ten-frame. Knowing the pairs that make ten also answers subtraction: if 7 and 3 make 10, then 10 − 3 = 7 and 10 − 7 = 3.

Explore this idea with maths tools

Maths you can move

Build 8 + 2

Tap two gold counters to fill the ten-frame.

8 in the frame + 2 waiting. The total stays the same.

Words to know

number bond
two parts that join to make a whole
part
one of the amounts that make up the whole

Worked examples

7 + ? = 10

  1. 1.Seven boxes are filled.
  2. 2.Three boxes are empty, so 7 + 3 = 10.

= 3

? + 4 = 10

  1. 1.Think: 4 and how many more make 10?
  2. 2.Four and six make ten, so 6 + 4 = 10.

= 6

10 − ? = 8

  1. 1.Ten take away a number leaves eight.
  2. 2.8 and 2 make 10, so 2 was taken away: 10 − 2 = 8.

= 2

For parents

Method: Fill a ten-frame

What to say: Show me the part you know. How many more make ten?

Common mistakes:

  • Gives the part already shown instead of the missing part.
  • Counts on from the known part but counts that starting number too, so the missing part is one too big.
  • Stops counting on one step before ten, so the missing part is one too small.
  • Adds together the numbers shown in the question, including the total.