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      Investigate and draw other polygons with right angles

      Lesson details

      Learning outcome

      I can investigate right angles in shapes with more than four sides.

      Key learning points

      1. Polygons with more than four sides can contain a right angle.
      2. Polygons with more than four sides can contain more than one right angle.
      3. Shapes can be drawn to match a description including angles and numbers of sides.

      Keywords

      • Pentagon - A 2D shape made up of five straight sides and vertices.

      • Hexagon - A 2D shape made up of six straight sides and vertices.

      Common misconception

      Pupils may find it hard to recognise right angles presented in unusual orientations.

      Encourage pupils to continue to check angles with a right angle measurer. Teach them to recognise where vertices are clearly not right angles and differentiate these from ones that could be right angles.

      Teacher tip

      This session can be taught practically. Pupils can use geoboards and elastic bands to explore pentagons and hexagons, identifying right angles, and use card strips and split pins to investigate shapes too. Pupils can be presented with strips of different lengths to add further challenge.

      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 of these shapes has exactly one right angle?

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

      Q2.
      Which of these shapes has exactly two right angles?

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

      Q3.
      Which of these shapes does not have any right angles?

      An image in a quiz
      Correct Answer: a

      Q4.
      How many right angles does this shape have?

      An image in a quiz
      Correct Answer: 4, four

      Q5.
      Which of these shapes are not quadrilaterals?

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

      Q6.
      Which statement is correct?

      Correct answer: All squares are rectangles.
      All rectangles are squares.
      Rectangles and squares are different because rectangles do not have right angles

      6 Questions

      Q1.
      Which shape is a pentagon?

      An image in a quiz
      Correct Answer: b

      Q2.
      Which shape is a hexagon?

      An image in a quiz
      Correct Answer: c

      Q3.
      Look at this pentagon. How many right angles does it have?

      An image in a quiz
      Correct Answer: 2, two

      Q4.
      Look at this hexagon. How many right angles does it have?

      An image in a quiz
      Correct Answer: 0, zero, None

      Q5.
      Aisha uses six sticks of equal length to make the shape below. She says, ‘I’ve made a hexagon with four right angles.’ Is she correct?

      An image in a quiz
      Correct answer: No, the shape is not a hexagon.
      Yes, the shape is a hexagon with four right angles.
      No, the shape is a hexagon, but it doesn’t have four right angles.

      Q6.
      Laura chooses three of these shapes. The shapes have a total of five right angles. Which three shapes did she choose?

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

      To help you plan your 3 maths lesson on: Investigate and draw other polygons with right angles, download all teaching resources for free and adapt to suit your pupils' needs...