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      Draw shapes with given properties

      Lesson details

      Learning outcome

      I can draw quadrilaterals and other polygons with given properties.

      Key learning points

      1. If you know the properties of a shape you can use a ruler and a grid to create it.
      2. Lines are perpendicular when they are at right angles to each other.
      3. Lines are parallel because they are always the same distance apart.

      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.

      Common misconception

      Children overgeneralise about the appearance of polygons such as rectangles and pentagons and do not recognise them when they are less typical.

      Ensure modelling and examples show a range of shapes. For example, show a range of rectangles and focus on the key properties of parallel and perpendicular sides to identify that they are all rectangles.

      Teacher tip

      Ensure adequate time is given in this lesson for pupils to draw their own examples. Sharing and comparing gives additional opportunities to classify and rehearse properties of polygons.

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

      An image in a quiz
      Correct Answer: 1, one

      Q2.
      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

      Q3.
      Complete the sentence. This polygon has pair(s) of parallel sides.

      An image in a quiz
      Correct Answer: 1, one

      Q4.
      True or false? These lines are all parallel to one another.

      An image in a quiz
      True
      Correct answer: False

      Q5.
      Order the shapes starting with the shape with the highest number of vertices.

      1 - Hexagon
      2 - Pentagon
      3 - Parallelogram
      4 - Triangle

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

      An image in a quiz
      Two triangles and a pentagon.
      Correct answer: Two triangles and a quadrilateral.
      Two triangles and a rectangle.

      6 Questions

      Q1.
      Sofia draws a polygon on isometric paper. What is the name of the polygon?

      An image in a quiz
      Correct Answer: pentagon

      Q2.
      Sofia draws a polygon on isometric paper. What is the name of this polygon?

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

      Q3.
      Sofia draws a polygon on isometric paper. Sofia’s polygon has pair(s) of parallel sides.

      An image in a quiz
      Correct Answer: 1, one

      Q4.
      Sofia draws a polygon on isometric paper. Sofia’s polygon has pair(s) of parallel sides.

      An image in a quiz
      Correct Answer: 0, zero

      Q5.
      Sofia draws a polygon on isometric paper. Sofia’s polygon has pair(s) of perpendicular sides.

      An image in a quiz
      Correct Answer: 1, one

      Q6.
      Sofia draws a polygon on isometric paper. Sofia’s polygon has pair(s) of perpendicular sides.

      An image in a quiz
      Correct Answer: 1, one

      To help you plan your 3 maths lesson on: Draw shapes with given properties, download all teaching resources for free and adapt to suit your pupils' needs...