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      Use bridging to solve addition and subtraction problems

      Lesson details

      Learning outcome

      I can use bridging to solve addition and subtraction problems.

      Key learning points

      1. We can use known facts to help us find new facts efficiently.

      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.

      Common misconception

      When solving problems, particularly in new contexts, children may revert to inefficient strategies as they are focusing on the problem rather than the number involved.

      Encourage children to record the numbers involved on bar models, number lines or in equations, then focus on what they notice about the numbers.

      Teacher tip

      Encourage children to draw/make bar models to draw attention to the structure of the problem. When finding the difference, link equations with a missing addend or subtrahend to the 'difference' structure to build understanding that it can mean both how many more and how many less/fewer.

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

      An image in a quiz
      Correct answer: 14 − 6 = 8
      10 − 2 = 8
      8 − 2 = 6

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

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

      Q3.
      How could we solve this equation? 23 − 6 = ?

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

      Q4.
      Which number is missing from this number line?

      An image in a quiz
      Correct Answer: 3, three

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

      An image in a quiz
      Correct Answer: 80, eighty

      Q6.
      54 − 6 =

      Correct Answer: 48

      6 Questions

      Q1.
      Which equation would be used to solve this problem? There were 42 children. 7 were sitting down and the rest were standing up. How many were standing up?

      42 + 7 = 49
      Correct answer: 42 − 7 = 35

      Q2.
      Alex had put 47 cubes into the tray and then he found 6 more. How many cubes are there altogether? cubes.

      Correct Answer: 53

      Q3.
      Sam collected 54 pencils. He kept some to use and put some away in a pot. He put 46 in the pot. How many does he now have to use? pencils.

      An image in a quiz
      Correct Answer: 8, eight

      Q4.
      Which of these equations can be solved by bridging a multiple of 10?

      Correct answer: 25 + 8 =
      35 + 3 =
      66 + 2 =
      Correct answer: 48 + 7 =

      Q5.
      Which of these equations can be solved by bridging a multiple of 10?

      35 − 3 =
      Correct answer: 45 − 7 =
      67 − 6 =
      Correct answer: 81 − 4 =

      Q6.
      Which of these known facts could help you in solving this equation? 46 + 8 = ___

      Correct answer: 6 + 8 = 14
      Correct answer: 8 + 6 = 14
      4 + 8 = 12
      8 + 4 = 12

      To help you plan your 2 maths lesson on: Use bridging to solve addition and subtraction problems, download all teaching resources for free and adapt to suit your pupils' needs...