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      Choose the most efficient strategy to subtract from a 3-digit number

      Lesson details

      Learning outcome

      I can choose the most efficient strategy to subtract from a 3-digit number.

      Key learning points

      1. By looking carefully at the minuend and subtrahend, we can choose the most efficient subtraction strategy.
      2. When numbers are close together, finding the difference is the most efficient strategy.
      3. Sometimes, we can use known addition facts to make finding the difference even more efficient.

      Keywords

      • Minuend - The minuend is the number being subtracted from.

      • Subtrahend - A subtrahend is a number subtracted from another.

      • Difference - The difference is the result after subtracting one number from another.

      • Partition - Partition is the act of splitting an object or value down into smaller parts.

      Common misconception

      Children will often reverse the minuend and subtrahend because they don't always appear in the order that they would in an expression.

      Ensure that the children spend time understanding the context, either through discussion of the problem or through visual representations such as bar models. It's also worth spending time on vocabulary by playing fun word games or charades.

      Teacher tip

      Pupils will not always agree with the most efficient strategy selected on these slides. Efficiency is about speed and accuracy. Pupil's speed will develop with the strategy they feel most confident about. This is about mental subtraction so wherever possible get the children to do it in their heads.

      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.
      What is the missing whole in this bar model?

      An image in a quiz
      Correct Answer: 100

      Q2.
      Complete the missing word minuend − subtrahend = __________

      Correct answer: difference
      addend
      minuend
      sum

      Q3.
      Use a find the difference strategy to calculate: 72 − 65 =

      Correct Answer: 7, seven, 7 ones, seven ons

      Q4.
      What is the difference between the two values shown?

      An image in a quiz
      Correct Answer: 70, seventy, seven tens, 7 tens

      Q5.
      Use a partitioning strategy to calculate 690 − 270 =

      Correct Answer: 420, four hundred and twenty

      Q6.
      Which of the pairs of numbers have the smallest difference?

      Correct answer: 270 and 290
      230 and 310
      260 and 320
      250 and 280

      6 Questions

      Q1.
      What is the equation being shown here?

      An image in a quiz
      Correct answer: 60 = 780 − 720
      60 = 780 + 720
      60 + 780 = 720
      780 − 720

      Q2.
      Which strategy is being shown in this number line? Partitioning or counting on / back to find difference

      An image in a quiz
      Partitioning
      Counting on to find the difference
      Correct answer: Counting back to find the difference

      Q3.
      Use an efficient strategy to calculate the missing part in the bar model.

      An image in a quiz
      Correct Answer: 16, sixteen

      Q4.
      Use an efficient strategy to solve this problem: There are 330 children in the school. 270 of the children go on a school trip to the zoo. How many children do not go on the trip? children

      Correct Answer: 60, 60 children, sixty children, sixty

      Q5.
      Use an efficient strategy to solve this problem: Lucas has read 168 pages of his book. Alex has read 57 pages. How many more pages has Lucas read? pages

      Correct Answer: 111, 111 pages, one hundred and eleven pages, one hundred and eleven

      Q6.
      Use an efficient strategy to solve this problem: Alex and Jacob each collect football cards. Alex has 135 and Jacob has 82 cards. How many more cards does Alex have? cards

      Correct Answer: 53, 53 cards, fifty three cards, fifty three

      To help you plan your 3 maths lesson on: Choose the most efficient strategy to subtract from a 3-digit number, download all teaching resources for free and adapt to suit your pupils' needs...