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Add by bridging a multiple of ten

Lesson details

Learning outcome

I can bridge ten to add single digit numbers to two-digit numbers.

Key learning points

  1. When adding a single digit and a two-digit number, the equation can be solved more efficiently by 'bridging ten.'
  2. When bridging a multiple of ten, the second addend is partitioned so that it reaches the next multiple of ten.
  3. Bridging ten is an efficient strategy because number pairs to ten can be used to calculate more easily.

Keywords

  • Bridge - A mental strategy which uses addition or subtraction to cross a number boundary.

  • Partition - The act of splitting an object or value down into smaller parts.

Common misconception

Children may partition the second addend in a way that does not allow them to make use of the multiple of ten and use their number bonds to calculate efficiently.

Use ten frames and number lines to support children in finding the multiple of ten and partition the addend in different ways to compare the efficiency of different ways of partitioning.

Teacher tip

Encourage children to draw their own number lines to support the development of mental methods and dsiplay and use stem sentences that support with the articualtion of thinking.

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

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Prior knowledge starter quiz

6 Questions

Q1.
Alex represents the equation 32 + 8 = ___ Which known fact could he use to solve it more efficiently?

Correct answer: 2 + 8
3 + 8
3 + 2

Q2.
Use the picture to complete the stem sentence. We know that 7 plus 3 is equal to 10, so we also know that plus 3 is equal to 30

An image in a quiz
Correct Answer: 27

Q3.
Which of the following numbers will complete the equation? 65 + 5 = ___

60
Correct answer: 70
80

Q4.
Which equation would be next in this pattern? 10 − 8 = 2, 20 − 8 = 12, 30 − 8 = 22 ...

38 − 8 = 30
Correct answer: 40 − 8 = 32
48 − 8 = 40

Q5.
What is the missing addend in the next equation? Remember, you can partition the two-digit number to help you see the ones more clearly. 52 + 8 = 60, 53 + 7 = 60, 54 + = 60 ...

Correct Answer: 6, six

Q6.
I know that 10 − 1 = 9, so I also know that 30 − 1 =

Correct Answer: 29

6 Questions

Q1.
Which representation shows that the ‘bridge 10’ strategy has been used to solve 7 + 5 = 12?

Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz

Q2.
How would 6 be partitioned to ‘bridge 10’ in this equation? 8 + 6 = 14

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

Q3.
How can we solve this equation? 16 + 7 = ___

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

Q4.
55 + 7 =

Correct Answer: 62

Q5.
Look at the number line. What is the missing multiple of 10?

An image in a quiz
Correct Answer: 90, ninety

Q6.
What is the missing addend on this number line?

An image in a quiz
Correct Answer: 6, six

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