New
New
Year 3

Subtracting numbers that bridge through 10

I can subtract through 10 using bridging.

New
New
Year 3

Subtracting numbers that bridge through 10

I can subtract through 10 using bridging.

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Lesson details

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.

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.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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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

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