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      Make and draw quadrilaterals on circular geoboards

      Lesson details

      Learning outcome

      I can make and draw quadrilaterals on circular geoboards and name quadrilaterals according to their properties.

      Key learning points

      1. Join four dots on the edge of the circle to create a quadrilateral.
      2. Use the properties of the quadrilateral to decide if the quadrilaterals are different or the same.
      3. Work systematically to create all the different possible quadrilaterals.

      Keywords

      • Quadrilateral - A quadrilateral is a polygon with four straight sides and four vertices.

      • Vertex / vertices - A vertex is the point where two lines meet. The plural is vertices.

      • Parallel - Parallel lines are straight lines that are always the same distance apart. They never get closer together or further apart.

      Common misconception

      Pupils find remembering the types and properties of quadrilaterals challenging.

      Take time to repeat and revisit the key properties within the lesson and beyond. Consider providing a scaffold for some pupils so they can create quadrilaterals without having to recall the specific properties each time.

      Teacher tip

      This lesson focuses on different types of quadrilaterals. Take time to ensure that you have a secure understanding of the definitions of each. You may wish to create some unusual examples to share.

      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.
      Tick the shape which is a trapezium.

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

      Q2.
      Match the shape name to the number of vertices it has.

      Correct Answer:Rectangle,4 vertices
      Correct Answer:Hexagon,6 vertices
      Correct Answer:Octagon ,8 vertices

      Q3.
      True or false? These lines are all parallel to one another.

      An image in a quiz
      Correct answer: True
      False

      Q4.
      Complete the sentence. This quadrilateral has pair(s) of perpendicular sides.

      An image in a quiz
      Correct Answer: 0, zero

      Q5.
      Complete the sentence. This polygon has pairs of parallel sides.

      An image in a quiz
      Correct Answer: 0, zero

      Q6.
      Select the correct three shapes the pentagon has been decomposed into.

      An image in a quiz
      Correct answer: Triangle, two trapeziums
      Triangle, two rectangles
      Triangle, two pentagons
      Three triangles

      6 Questions

      Q1.
      Select the quadrilaterals.

      An image in a quiz
      Correct Answer: 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.
      Select the parallelogram.

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

      Q3.
      Select the properties of this polygon drawn on a circular grid.

      An image in a quiz
      Four vertices, one pair of perpendicular sides and no parallel sides.
      Four vertices, one pair of perpendicular sides, one pair of parallel sides.
      Correct answer: Four vertices, no perpendicular sides and no parallel sides.

      Q4.
      What is the name of this polygon?

      An image in a quiz
      Rectangle
      Correct answer: Quadrilateral
      Parallelogram
      Trapezium

      Q5.
      Select the parallelograms which are not rectangles.

      An image in a quiz
      Correct Answer: 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

      Q6.
      What is the difference between a parallelogram and a trapezium?

      The number of sides they have.
      The number of vertices they have.
      The number of pairs of perpendicular sides they have.
      Correct answer: The number of pairs of parallel sides they have.

      To help you plan your 3 maths lesson on: Make and draw quadrilaterals on circular geoboards, download all teaching resources for free and adapt to suit your pupils' needs...