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      Add and subtract to and from a 3-digit number bridging 100

      Lesson details

      Learning outcome

      I can add and subtract to and from a 3-digit number bridging 100.

      Key learning points

      1. Addition and subtraction calculations can represent counting on and back over the 100s boundary.
      2. When you count on in tens, sometimes the 10s digit only changes and sometimes the 100s digit changes.
      3. When you count back in tens, sometimes the 10s digit only changes and sometimes the 100s digit changes.

      Keywords

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

      • Partition - Splitting an object or value down into smaller parts.

      • 100s boundary - The point at which numbers change into 100s numbers, or from one set of hundreds to another.

      Common misconception

      Pupils may partition numbers incorrectly when adding or subtracting across a 100s boundary.

      Encourage pupils to add or subtract to first the 100s number, using number pairs that total 10 or 100.

      Teacher tip

      Pupils may find base ten blocks or interlocking cubes helpful in representing the calculations and partitioning numbers. Encourage them to use number lines alongside these manipulatives so that they develop confidence in representing their 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.
      40 can be partitioned into 30 and

      Correct answer: 10
      20
      30

      Q2.
      How can 60 be partitioned into two parts?

      Correct answer: 30 and 30
      20 and 30
      Correct answer: 20 and 40
      Correct answer: 10 and 50

      Q3.
      95 + = 100

      Correct Answer: 5, five

      Q4.
      150 + = 200

      Correct Answer: 50, fifty

      Q5.
      300 − 6 =

      Correct Answer: 294

      Q6.
      The total height of Peter and the boxes is 300 cm. Peter is 80 cm tall. How high are the boxes?

      An image in a quiz
      120 cm
      Correct answer: 220 cm
      280 cm
      292 cm

      6 Questions

      Q1.
      How would you partition 6 to calculate 97 + 6 efficiently?

      Correct answer: add 3 then add 3
      add 2 then add 4
      add 1 then add 5

      Q2.
      How would you partition 7 to calculate 105 − 7?

      subtract 2 then subtract 5
      subtract 3 then subtract 4
      subtract 4 then subtract 3
      Correct answer: subtract 5 then subtract 2

      Q3.
      Which calculations cross a 100s boundary?

      Correct answer: 90 + 20
      120 + 30
      190 − 20
      Correct answer: 220 − 30

      Q4.
      220 − 30 =

      Correct Answer: 190

      Q5.
      Use the number line to complete the calculation. 370 + = 420

      An image in a quiz
      Correct Answer: 50, fifty

      Q6.
      Use the number line to complete the calculation. 550 − = 480

      An image in a quiz
      Correct Answer: 70, seventy

      To help you plan your 3 maths lesson on: Add and subtract to and from a 3-digit number bridging 100, download all teaching resources for free and adapt to suit your pupils' needs...