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      Subtract by bridging a multiple of ten

      Lesson details

      Learning outcome

      I can bridge ten to subtract single digit numbers from two-digit numbers.

      Key learning points

      1. When we subtract a one-digit from a two-digit number, the equation may be solved more efficiently by 'bridging ten'.
      2. When bridging a multiple of ten, the number that is subtracted is partitioned to reach the previous 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 strategy that involves using a multiple of ten as a 'bridge' so numbers can be partitioned to make use of bonds to ten and calculate efficiently.

      • Partition - To split a whole up into parts.

      Common misconception

      Children may think the multiple of ten before 43 is 30, or partition the subtrahend incorrectly when bridging, meaning they do not use the most efficient strategy.

      Display and use the stem sentences to support articulation of how to find the previous multiple of ten. Use ten frames, number lines and one hundred squares to support with appropriate partitioning of numbers.

      Teacher tip

      Encourage children to focus on the numbers involved and to predict when solving equations, articulating their thinking and working towards generalisations based on the digits in the numbers involved.

      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.
      How would 5 be partitioned to ‘bridge 10’ in this equation? 8 + 5 = 13

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

      Q2.
      How can we solve this equation? 18 + 8 = ?

      Partition 8 into 3 and 5
      Correct answer: Partition 8 into 2 and 6
      Partition 8 into 4 and 4

      Q3.
      26 + 6 =

      Correct Answer: 32

      Q4.
      What is the missing multiple of 10 on this number line?

      An image in a quiz
      Correct Answer: 60, sixty

      Q5.
      ‘Bridge 10’ to find the missing sum in this equation. 27 + 6 =

      Correct Answer: 33

      Q6.
      38 + = 43 What is the missing addend?

      Correct Answer: 5

      6 Questions

      Q1.
      Look at the ten frames. Which equation does this image represent by showing ‘bridging 10’ to subtract?

      An image in a quiz
      Correct answer: 15 − 6 = 9
      10 − 1 = 9
      9 − 6 = 3

      Q2.
      Look at the number line. How should 8 be partitioned to ‘bridge 10’ when subtracting here?

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

      Q3.
      How could we solve this equation? 24 − 5 = ___

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

      Q4.
      Which number is missing on this number line representation?

      An image in a quiz
      Correct Answer: 2, two

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

      An image in a quiz
      Correct Answer: 60, sixty

      Q6.
      64 − 7 =

      Correct Answer: 57

      To help you plan your 2 maths lesson on: Subtract by bridging a multiple of ten, download all teaching resources for free and adapt to suit your pupils' needs...