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      Use known facts and mental strategies to calculate with decimal numbers within and across a whole

      Lesson details

      Learning outcome

      I can use known facts and mental strategies to calculate with decimal numbers within and across a whole.

      Key learning points

      1. If you know that 5 + 2 is equal to 7 then 5 tenths + 2 tenths is equal to 7 tenths so 0.5 + 0.2 = 0.7
      2. Use known facts and unitising to add tenths.
      3. Bridging 10 strategies with whole numbers can be applied when the tenths bridge one whole.

      Keywords

      • Number facts - Simple calculations using two numbers are known as number facts. For example 2 + 4 = 6

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

      Common misconception

      Pupils record missing part equations incorrectly.

      Encourage children to match the equation to a representation identifying which number represents the wholes and which represent parts.

      Teacher tip

      Use the language of unitising to support pupils each time. For example: I know 10 ones minus 3 ones is equal to 7 ones so 10 tenths minus 3 tenths is equal to 7 tenths.

      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.
      Tick the number facts that make 10.

      4 + 7
      Correct answer: 2 + 8
      Correct answer: 9 + 1
      Correct answer: 7 + 3
      Correct answer: 6 + 4

      Q2.
      Ten tenths are equal to

      Correct Answer: 1, 1 whole, a whole, one, whole

      Q3.
      I know 7 − 5 = 2 so 700 − 500 =

      Correct Answer: 200, 200, 2 hundred

      Q4.
      Tick all of the equations that can represent this part-part-whole model.

      An image in a quiz
      Correct answer: 6 + 4 = 10
      10 = 6 − 4
      6 = 10 + 4
      Correct answer: 6 = 10 − 4
      Correct answer: 10 − 6 = 4

      Q5.
      I know 12 − 5 = 7 so 120 − 50 =

      7
      Correct answer: 70
      17
      170

      Q6.
      What are the missing numbers that the nine would need to be partitioned into to bridge 10 for this example.

      An image in a quiz
      3 and 6
      2 and 7
      Correct answer: 4 and 5
      1 and 8

      6 Questions

      Q1.
      I know 3 + 6 = 9 so 0.3 + 0.6 =

      Correct Answer: 0.9, zero point nine, nought point nine, nine tenths, 9 tenths

      Q2.
      I know 8 − 5 = 3 so 0.8 − 0.5 =

      Correct Answer: 0.3, zero point three, nought point three, 3 tenths

      Q3.
      Which of these pairs of numbers sum to make 1?

      Correct answer: 0.4 and 0.6
      0.2 and 0.7
      0.9 and 0.2
      Correct answer: 0.3 and 0.7
      Correct answer: 0.5 and 0.5

      Q4.
      Use a known number fact to help you solve: 1 − 0.3 =

      Correct Answer: 0.7, seven tenths, zero point seven, nought point seven

      Q5.
      Fill in the missing number for the equation represented by the number line.

      An image in a quiz
      Correct Answer: 0.9, zero point nine, nine tenths, nought point nine

      Q6.
      Fill in the missing number: ___ − 0.7 = 0.8

      Correct Answer: 1.5

      To help you plan your 5 maths lesson on: Use known facts and mental strategies to calculate with decimal numbers within and across a whole, download all teaching resources for free and adapt to suit your pupils' needs...