Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

Subtracting numbers that bridge through 10

Lesson details

Learning outcome

I can subtract through 10 using bridging.

Key learning points

  1. When the subtrahend is bigger than the ones value of the minuend, we will have to bridge through 10
  2. Composition of numbers to 10 allows us to partition numbers when we are subtracting.
  3. Composition of numbers to 10 allows us to bridge through ten when subtracting.

Keywords

  • Minuend - The minuend is the number being subtracted from.

  • Subtrahend - A subtrahend is a number subtracted from another.

  • Bridge - Bridge means subtracting to make 10 and then subtracting whatever is left.

  • Partition - Partition means splitting a number into smaller parts.

Common misconception

Pupils may incorrectly partition the subtrahend.

Partition the subtrahend to count back to ten or a tens number. Use number pairs that total ten to help subtract whatever is left.

Teacher tip

It would be helpful if pupils have tens frames, counters and/or number lines to help them represent the problems. Pupils may also benefit from having the number cards 1-9.

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

Loading...

Prior knowledge starter quiz

6 Questions

Q1.
What is the missing subtrahend?

An image in a quiz
Correct Answer: 7, seven

Q2.
Which equations have a difference of 10?

Correct answer: 14 − 4 =
16 − 5 =
18 − 7 =
Correct answer: 13 − 2 − 1 =

Q3.
There are 18 slices of pizza. Alex eats some slices. There are 10 slices left. How many slices did Alex eat?

An image in a quiz
Correct Answer: 8, eight

Q4.
Match each equation with the correct difference.

Correct Answer:10 − 5 =,5

5

Correct Answer:10 − 3 − 1 = ,6

6

Correct Answer:10 − 3 − 3 = ,4

4

Correct Answer:10 − 2 − 5 = ,3

3

Q5.
Calculate the missing subtrahend.

An image in a quiz
Correct Answer: 5, five

Q6.
What could the missing subtrahends be? Tick all the possible answers.

An image in a quiz
Correct answer: 3 and 4
5 and 1
Correct answer: 7 and 0
6 and 2

6 Questions

Q1.
What is 12 − 4?

Correct Answer: 8, eight

Q2.
Izzy is trying to find the answer to 13 − 6. What is the best way of partitioning 6 to bridge 10?

Correct answer: 3 and 3
2 and 4
5 and 1

Q3.
Alex has 11 cherries. He eats 7 of them. How many are left?

An image in a quiz
3
Correct answer: 4
5
6

Q4.
Izzy uses a number line to find the answer to an equation. What has Izzy subtracted altogether?

An image in a quiz
Correct Answer: 5, five

Q5.
Match the equations to the correct differences.

Correct Answer:12 − 3 =,9

9

Correct Answer:13 − 5 =,8

8

Correct Answer:11 − 4 =,7

7

Correct Answer:12 − 6 =,6

6

Q6.
What is the missing subtrahend?

An image in a quiz
Correct Answer: 7, seven

To help you plan your 3 maths lesson on: Subtracting numbers that bridge through 10, download all teaching resources for free and adapt to suit your pupils' needs...