Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

      Represent equal groups as repeated addition and multiplication

      Lesson details

      Learning outcome

      I can represent equal groups as repeated addition and multiplication.

      Key learning points

      1. Repeated addition can be written as a multiplication.
      2. The x symbol represents times.
      3. 3 groups of 5 can be represented as 5 + 5 + 5 or as 3 x 5
      4. 3 represents the number of groups and 5 represents the number in each group.

      Keywords

      • Multiplication - The basic idea of multiplication is repeated addition, adding a number to itself multiple times. The result of a multiplication is a product.

      • Groups / grouping - A set of things with an identity.

      Common misconception

      Pupils may not understand how to represent the repeated addition expression and a multiplication expression.

      Encourage pupils to identify exactly how the equation relates to the image: with the questions ‘What does the 3 represent?’ ‘What does the 2 represent?’ ‘What does the 6 represent?’

      Teacher tip

      This lesson is all about addition expression and multiplication expression. At this point, children are just understanding how the expression relates to the image, with no focus on the total number of items, such as eggs. Focus on confidence in the factors.

      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

      Loading...

      Prior knowledge starter quiz

      6 Questions

      Q1.
      Which bar model shows the correct grouping for the groups of pencils?

      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

      Q2.
      Which is the correct expression for the groups of sweets shown here?

      An image in a quiz
      Correct answer: 4 + 4 + 4 + 4
      3 + 3 + 3 + 3
      4 + 4 + 4 + 4 + 4

      Q3.
      Which is the correct expression for the groups of milkshakes shown here?

      An image in a quiz
      6 + 3 + 6
      3 + 3 + 3 + 3 + 3 + 3
      Correct answer: 6 + 6
      3 + 3 + 3 + 3

      Q4.
      Which of these show the expression 3 + 3 + 3

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

      Q5.
      Match the repeated addition expression to the groups.

      Correct Answer: 3 groups of 3, 3 + 3 + 3

      3 + 3 + 3

      Correct Answer: 4 groups of 3 ,3 + 3 + 3 + 3

      3 + 3 + 3 + 3

      Correct Answer: 5 groups of 3 ,3 + 3 + 3 + 3 + 3

      3 + 3 + 3 + 3 + 3

      Correct Answer:6 groups of 3,3 + 3 + 3 + 3 + 3 + 3

      3 + 3 + 3 + 3 + 3 + 3

      Q6.
      Select the repeated addition expressions which could be represented by this collection of sandwiches.

      An image in a quiz
      Correct answer: 4 + 4 + 4 + 4
      4 + 4 + 4
      Correct answer: 8 + 8
      Correct answer: 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2
      3 + 4

      6 Questions

      Q1.
      Look at the image which shows groups of cake pops. What multiplication could this image represent?

      An image in a quiz
      Correct answer: 6 × 3
      2 × 6
      6 × 6
      3 × 3

      Q2.
      Look at the image which shows 3 groups of 5 pencils. Which set of expressions complete the sentence? That is the same as ___ × ___ or ___ + ___

      An image in a quiz
      3 + 3 + 3 or 3 × 3
      Correct answer: 5 + 5 + 5 or 3 × 5
      3 + 3 + 3 + 3 + 3 or 5 × 3

      Q3.
      There are 4 equal groups of 3 lollipops. Select the correct multiplication expression for this story.

      Correct answer: 4 × 3
      3 × 3
      2 × 3
      1 × 3

      Q4.
      Select the correct multiplication and addition expression.

      An image in a quiz
      Correct answer: 4 × 2 = 2 + 2 + 2 + 2
      5 × 2 = 2 + 2 + 2 + 2 + 2
      2 × 5 = 5 + 5
      4 × 3 = 3 + 3 + 3 + 3

      Q5.
      Match the multiplication expression and addition and expression.

      Correct Answer: 2 × 2 , 2 + 2

      2 + 2

      Correct Answer:3 × 2 , 2 + 2 + 2

      2 + 2 + 2

      Correct Answer:4 × 2 , 2 + 2 + 2 + 2

      2 + 2 + 2 + 2

      Correct Answer:5 × 2 ,2 + 2 + 2 + 2 + 2

      2 + 2 + 2 + 2 + 2

      Q6.
      Look at the image which shows some groups. How would you change 2 × 6 to show 2 × 5?

      An image in a quiz
      Remove 6 bundles of sweets.
      Add 6 bundles of sweets.
      Correct answer: Remove 2 bundles of sweets, or 1 bundle from each group.
      Add 2 bundles of 6 sweets.

      To help you plan your 2 maths lesson on: Represent equal groups as repeated addition and multiplication, download all teaching resources for free and adapt to suit your pupils' needs...