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

      Investigate symmetry and symmetrical patterns

      Lesson details

      Learning outcome

      I can find lines of symmetry in real life contexts and design my own symmetrical patterns.

      Key learning points

      1. There are lots of real life examples where you can find lines of symmetry, for example in flags.
      2. When a pattern is symmetrical, you can fold along its line of symmetry and the two halves will match exactly.

      Keywords

      • Symmetrical - When a shape, pattern or image has two halves that match exactly when folded, it can be described as symmetrical.

      • Line of symmetry - If you were to fold a shape at its line of symmetry, both halves would match exactly.

      • Reflect - When you reflect a shape, you flip it over a mirror line or line of symmetry without turning it or changing the size.

      Common misconception

      Children may think that a rectangular flag has diagonal lines of symmetry.

      Allow children to cut out and fold the flags to help them see that a rectangle does not have any diagonal lines of symmetry.

      Teacher tip

      Part of this lesson involves children planning their own symmetrical design for a t-shirt. Using a search engine, many real-life examples can be found that could be shared with the children. You may be able to link this lesson to the wider curriculum, for example design and technology or art.

      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.
      This line of symmetry is __________.

      An image in a quiz
      horizontal
      Correct answer: diagonal
      vertical

      Q2.
      True or false. This shape has been correctly reflected in a diagonal line of symmetry.

      An image in a quiz
      True
      Correct answer: False

      Q3.
      Which image shows an incorrect reflection?

      An image in a quiz
      a)
      Correct answer: b)
      c)

      Q4.
      Look at these shapes that have been reflected. Both shapes are __________.

      An image in a quiz
      pentagons
      Correct answer: hexagons
      octagons

      Q5.
      Look at these shapes that have been reflected. Both shapes are __________.

      An image in a quiz
      Correct answer: trapeziums
      parallelograms
      pentagons

      Q6.
      This shape has been reflected in a diagonal line of symmetry. The new shape is a __________.

      An image in a quiz
      rhombus
      Correct answer: kite
      trapezium

      6 Questions

      Q1.
      Rectangles have __________ lines of symmetry. Tick all that apply.

      Correct answer: horizontal
      diagonal
      Correct answer: vertical

      Q2.
      Both flags have one line of symmetry. In which direction is the line of symmetry?

      An image in a quiz
      Correct Answer:a),vertical

      vertical

      Correct Answer:b),horizontal

      horizontal

      Q3.
      How many lines of symmetry does this flag have?

      An image in a quiz
      Correct answer: 0
      1
      2
      4

      Q4.
      This flag has lines of symmetry.

      An image in a quiz
      Correct Answer: 2

      Q5.
      True or false. This pattern has two lines of symmetry.

      An image in a quiz
      True
      Correct answer: False

      Q6.
      Which of the patterns has two lines of symmetry?

      An image in a quiz
      a)
      Correct answer: b)
      c)

      To help you plan your 4 maths lesson on: Investigate symmetry and symmetrical patterns, download all teaching resources for free and adapt to suit your pupils' needs...