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      Solve equations involving the subtraction of two-digit numbers

      Lesson details

      Learning outcome

      I can solve equations involving the subtraction of two-digit numbers.

      Key learning points

      1. The known part can be partitioned into tens and ones before subtracting to help subtract two-digit numbers.
      2. Known facts and the partitioning of numbers can be used to help solve missing number equations.

      Keywords

      • Partition - To split a whole up into parts - a piece or section of a whole.

      • Part - A piece or section of a whole.

      Common misconception

      Children may partition both the whole and the parts when subtracting two 2-digit numbers. They need to know to avoid this because it gives an incorrect answer when subtracting numbers which bridge 10

      You may wish to explore further examples which do and do not reach the correct answer, articulating why this is the case and coming to the generalisation that, when subtracting, only one part needs to be partitioned into tens and ones.

      Teacher tip

      This lesson involves building upon prior knowledge to subtract two 2-digit numbers. Children are encouraged to manipulate individual numbers in equations in order to build confidence and mental flexibility to work efficiently.

      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.
      Izzy wants to solve the equation 87 − 6 = ? Which is the most efficient strategy to use?

      Correct answer: Use a known fact
      Bridge 10
      Count back on your fingers

      Q2.
      Andeep has £78 and he buys a unicorn. Which known fact should he use to calculate how much money he has left?

      An image in a quiz
      78 − 5 = ?
      70 − 5 =?
      Correct answer: 7 − 5 = ?

      Q3.
      Match each equation to say which digit will change when it is solved.

      Correct Answer:47 − 4 = ?,The ones digit will change from 7 to 3

      The ones digit will change from 7 to 3

      Correct Answer:74 − 40 = ?,The tens digit will change from 7 to 3

      The tens digit will change from 7 to 3

      Q4.
      Match the equations which will leave the same part remaining.

      Correct Answer:47 − 2 − 30 = ?,47 − 30 − 2 = ?

      47 − 30 − 2 = ?

      Correct Answer:47 − 20 − 3 = ?,47 − 3 − 20 = ?

      47 − 3 − 20 = ?

      Correct Answer:47 − 30 − 5 = ?,47 − 5 − 30 = ?

      47 − 5 − 30 = ?

      Q5.
      Fill in the missing number to solve the equation 76 − 35 = ?

      An image in a quiz
      Correct Answer: 5

      Q6.
      Choose an equation to represent the number line.

      An image in a quiz
      48 − 5 − 43 = 23
      Correct answer: 48 − 5 − 20 = 23
      Correct answer: 48 − 25 = 23

      6 Questions

      Q1.
      Match the expressions which have the same value.

      Correct Answer:89 − 50 − 1,89 − 51

      89 − 51

      Correct Answer:69 − 7 − 30,69 − 37

      69 − 37

      Correct Answer:75 − 5 − 10,75 − 15

      75 − 15

      Q2.
      Which number is missing in the equation? 74 − 34 = 74 − − 4

      Correct Answer: 30

      Q3.
      Which equation is represented by the number line.

      An image in a quiz
      80 − 43 = 46
      Correct answer: 80 − 34 = 46
      80 − 46 = 43

      Q4.
      Find the missing part in the bar model.

      An image in a quiz
      Correct Answer: 52

      Q5.
      How many tens are in the missing part? 47 − _4 = 23

      Correct answer: 2 tens
      3 tens
      4 tens

      Q6.
      Find the missing part. 75 − = 31

      Correct Answer: 44

      To help you plan your 2 maths lesson on: Solve equations involving the subtraction of two-digit numbers, download all teaching resources for free and adapt to suit your pupils' needs...