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      Describe the relationship between two factors in a ratio context

      Lesson details

      Learning outcome

      You can describe the relationship between two factors in a ratio context.

      Key learning points

      1. The language "For every __ __ there are __ __ " can be used to describe ratio.
      2. Objects and diagrams can be used to represent ratio relationships.

      Keywords

      • Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole

      • For every - For every allows you to talk about the relative sizes of the values e.g. for every 2 squares there is 1 triangle

      Common misconception

      Using addition and subtraction to connect the parts and whole in a ratio context.

      Model all relationships at this stage using the language and notation of multiplication and division.

      Teacher tip

      Have counters or cubes in two different colours or shapes for pupils to use to create patterns. Stress the use of the language "for every" to identify the parts but also make sure that the whole set is identified in each context.

      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 3 x 9 equal to?

      12
      21
      Correct answer: 27

      Q2.
      What is 4 x 6 equal to?

      Correct answer: 24
      10
      46

      Q3.
      How many 8s are there in 40?

      8
      2
      Correct answer: 5

      Q4.
      What is 6 times the size of 3?

      Correct answer: 18
      9
      12

      Q5.
      What number is one third times the size of 21?

      3
      6
      Correct answer: 7

      Q6.
      Which of these numbers are divisible by 6?

      Correct answer: 18
      27
      9
      Correct answer: 36

      6 Questions

      Q1.
      Which of these statements describe this image?

      An image in a quiz
      For every 2 squirrels there is one bird
      Correct answer: For every 2 birds there is one squirrel
      For every 3 birds there is one squirrel
      For every one bird there is one squirrel

      Q2.
      Write a sentence using 'For every' to describe this pattern

      An image in a quiz
      For every 2 circles there are 2 squares
      For every 3 circles there are 3 squares
      Correct answer: For every 3 circles there are 2 squares
      For every 3 circles there is a square
      Correct answer: For every 2 squares there are 3 circles

      Q3.
      What does the number 12 in this equation $$3 \times 4 = 12$$ represent in relation to this image?

      An image in a quiz
      Correct Answer: The total number of shapes, All the triangles and circles, All the shapes

      Q4.
      What does 3 in this equation $$3 \times 4 = 12$$ represent in relation to this image?

      An image in a quiz
      The number of triangles in the image
      Correct answer: The number of shapes in the basic pattern
      The number of circles in the image

      Q5.
      What does 4 in this equation $$3 \times 4 = 12$$ represent in relation to this image?

      An image in a quiz
      The number of triangles in the image
      The number of circles in the image
      Correct answer: The number of times the pattern is repeated

      Q6.
      Look at the pattern and tick all the statements that are true

      An image in a quiz
      For every 1 star there are 3 squares
      Correct answer: For every 1 square there are 3 stars
      Correct answer: You could make this repeating pattern with 44 shapes in total
      If you repeated the pattern 8 times you would use 30 shapes in total

      To help you plan your 6 maths lesson on: Describe the relationship between two factors in a ratio context, download all teaching resources for free and adapt to suit your pupils' needs...