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      Understand subtraction as decreasing an amount

      Lesson details

      Learning outcome

      I can describe and interpret subtraction stories which involve decreasing an amount and write equations to represent this.

      Key learning points

      1. Decreasing the first amount in a story is a type of subtraction.
      2. It can be represented as a ‘First, then, now’ story.
      3. It can also be represented as an equation.
      4. The first amount in a ‘First, then, now’ story must be written first in an equation.

      Keywords

      • First - Before anything else.

      • Then - After something in time.

      • Now - At the present time.

      • Decrease - Make something smaller in size or quantity.

      Common misconception

      Children may find the ‘then’ part of the story, where the amount changes, difficult to identify.

      Draw attention to the change, talking about it as a decrease.

      Teacher tip

      Draw attention to how the reduction structure of subtraction is different to partitioning. Use 'take away' interchangeably with 'subtract' here to help highlight that the subtrahend is physically taken away rather than just 'partitioned' from the difference.

      Licence

      This content is © Oak National Academy Limited (2026), 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.
      Write a subtraction equation that could represent the counters.

      An image in a quiz
      Correct Answer: 9 - 4 = 5, 9-5=4, 9-4=5, 9 - 5 = 4

      Q2.
      What subtraction equation could represent this story? There were 5 children altogether in the whole group. 1 had brown hair. How many did not have brown hair?

      Correct Answer: 5 - 1 = 4, 5-1=4

      Q3.
      Alex writes this addition equation to represent the bar model. 2 + 7 = 9 Which subtraction equation could also be represented by the bar model?

      An image in a quiz
      Correct Answer: 9 - 2 = 7, 9-2=7, 9-7=2, 9 - 7 = 2

      Q4.
      Which set of counters could represent this story? There were 6 teddies altogether in the whole group. 4 were small teddies. How many were not small teddies?

      Correct Answer: An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz

      Q5.
      Tick the subtraction equations which could be represented by this bar model.

      An image in a quiz
      Correct answer: 9 - 6 = 3
      3 + 6 = 9
      Correct answer: 9 - 3 = 6

      Q6.
      Which of these is a subtraction story?

      There are 3 birds in the tree and 2 on the fence. How many birds are there?
      Correct answer: There are 5 birds. 2 are on the fence. How many are not on the fence?

      6 Questions

      Q1.
      Alex writes an equation to match his story. 7 - 2 = 5 What does the 5 represent?

      An image in a quiz
      Correct answer: The amount left at the end of the story.
      The amount at the start of the story.
      The amount subtracted.

      Q2.
      Which story could match this picture?

      An image in a quiz
      Correct answer: First, there were 5 pencils. Then, 2 were taken. Now, there are 3 pencils.
      First, there were 3 pencils. Then, 2 were put in. Now, there are 5 pencils.
      First, there were 5 pencils. Then, 3 were taken. Now, there are 2 pencils.

      Q3.
      Which set of counters would represent this story? First, there were 10 pounds in my pocket. Then, I spent 4 pounds. Now, there are 6 pounds in my pocket.

      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz
      An image in a quiz

      Q4.
      Which equation matches the picture?

      An image in a quiz
      5 + 2 = 7
      7 - 5 = 2
      Correct answer: 7 - 2 = 5

      Q5.
      Which equation matches the story?

      An image in a quiz
      5 - 3 = 8
      Correct answer: 8 - 3 = 5
      8 - 5 = 3

      Q6.
      Write an equation to match the picture.

      An image in a quiz
      Correct Answer: 7 - 4 = 3, 7 - 4 = 3

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