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      Explain what each factor represents in a multiplication story

      Lesson details

      Learning outcome

      I can explain what each factor represents in a multiplication story.

      Key learning points

      1. In a multiplication, one factor represents the group size.
      2. In a multiplication, one factor represents the number of groups.
      3. Identify the group size and the number of groups in the multiplication story.

      Keywords

      • Factor - A factor is a number which exactly divides another whole number.

      • Commutative - Multiplication is commutative. This means the order of the factors can be changed without changing the calculation or product.

      Common misconception

      Pupils may find it difficult to identify the factors from the word problems.

      Model clearly how to identify key phrases and words which will identify the operation and equation required for word problems. Pupils may benefit by highlighting which number shows the number of group size and which shows the number of groups.

      Teacher tip

      A range of contexts are used in this lesson to reflect the range of experiences pupils may have. Consider whether you want to adapt contexts or introduce additional contexts to meet the experience of your pupils.

      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.
      Which word completes the sentence? The order of the factors can be changed and the __________ remains the same. This is known as commutativity.

      An image in a quiz
      Correct answer: product
      factors
      fractions

      Q2.
      Match the expressions to the correct product.

      Correct Answer:2 × 5,10

      10

      Correct Answer:4 × 2,8

      8

      Correct Answer:2 × 10,20

      20

      Correct Answer:5 × 4,20

      20

      Q3.
      Look at the tally chart. How many snails did Laura see?

      An image in a quiz
      Correct Answer: 25

      Q4.
      Laura sees 60 worms, how would you record this on this pictogram?

      An image in a quiz
      Draw 60 circles.
      Draw 6 circles.
      Correct answer: Draw 12 circles.
      Draw 10 circles.

      Q5.
      Laura sees 80 worms, how would she record this in the pictogram? Laura would need to draw circles.

      An image in a quiz
      Correct Answer: 8

      Q6.
      Aisha has recorded the amount of minibeasts she saw in her back garden in this pictogram. Aisha saw worms.

      An image in a quiz
      Correct Answer: 65

      6 Questions

      Q1.
      Which word completes the sentence? The order of the factors can be changed and the product remains the same. This is known as __________.

      An image in a quiz
      computer
      communication
      Correct answer: commutativity

      Q2.
      Complete the equation so that it represents the 10 pence and 1 pence coins. 1 × 10 p = × 1 p.

      An image in a quiz
      Correct Answer: 10, ten

      Q3.
      How many fingers are there in each group? Select the expression which matches the images.

      An image in a quiz
      3 × 5
      4 × 4
      Correct answer: 4 × 5
      6 × 6

      Q4.
      Look at the 5 pence and 1 pence coins and complete the expression. × 5 p = 5 × ___ p.

      An image in a quiz
      Correct Answer: 1, one

      Q5.
      Complete the multiplication equation needed to solve this problem. If one packet of sweets costs 10 p, how much do 10 packets of sweets cost? p × 10 packets = 100 p.

      An image in a quiz
      Correct Answer: 10, ten

      Q6.
      If one packet of sweets costs 5 p, how much do 7 packets of sweets cost? p.

      An image in a quiz
      Correct Answer: 35, 35 p

      To help you plan your 2 maths lesson on: Explain what each factor represents in a multiplication story, download all teaching resources for free and adapt to suit your pupils' needs...