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      Draw shapes with given properties on a range of geometric grids

      Lesson details

      Learning outcome

      I can draw shapes with given properties on a range of geometric grids.

      Key learning points

      1. If you know the properties of a shape you can use a ruler and a range of grids 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

      • Property / properties - A property is a character or quality something has.

      Common misconception

      Pupils may not recognise that the same type of shape, such as a pentagon, can have different properties such as parallel or perpendicular lines.

      Make use of geoboards if possible to create a pentagon and physically move one vertex. Focus on the fact that the shape still has 5 vertices and discuss what is similar and different.

      Teacher tip

      Ensure adequate time is given in Cycle 1 to pupils drawing their own shapes so they are confident in properties of shapes before completing shapes in Cycle 2.

      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.
      Look at these four shapes. What do they have in common?

      An image in a quiz
      They are all quadrilaterals.
      They are all rectangles.
      Correct answer: They all have at least one pair of parallel sides.
      They all have at least one pair of perpendicular sides.

      Q2.
      Order the shapes starting with the shape with the highest number of vertices.

      1 - Octagon
      2 - Hexagon
      3 - Pentagon
      4 - Rhombus

      Q3.
      True or false? A trapezium must have a pair of perpendicular sides.

      True
      Correct answer: False

      Q4.
      Complete the definition. A parallelogram has four sides, four vertices and …

      … only one pair of parallel sides.
      Correct answer: … two pairs of parallel sides.
      … only one pair of perpendicular sides.
      … two pairs of perpendicular sides.

      Q5.
      Which shape does this describe? A quadrilateral with four equal length sides. It has two pairs of parallel lines.

      Rectangle
      Correct answer: Rhombus
      Trapezium

      Q6.
      The hexagon has been decomposed into three parts. One is a parallelogram. Name one of the other two parts.

      An image in a quiz
      Correct Answer: trapezium, triangle

      6 Questions

      Q1.
      How many pairs of perpendicular sides does this polygon have?

      An image in a quiz
      Correct Answer: 1, one

      Q2.
      Andeep moves one vertex to change shape A to shape B. What has changed?

      An image in a quiz
      Nothing.
      Shape B is no longer a pentagon.
      Correct answer: Shape B no longer has perpendicular sides.
      Correct answer: Shape B now has a pair of parallel sides.

      Q3.
      True or false? This triangle has one right angle and therefore a pair of perpendicular sides.

      An image in a quiz
      Correct answer: True
      False

      Q4.
      Sofia begins to draw a septagon. The points will become vertices. How many more points does she need to have to make a septagon?

      An image in a quiz
      Correct Answer: 3, three

      Q5.
      Sofia says if she connects the vertices shown here she will have a quadrilateral with a pair of perpendicular sides. Do you agree?

      An image in a quiz
      Correct answer: Yes
      No

      Q6.
      Sofia completes a shape to make a pentagon. Tick the correct statements.

      An image in a quiz
      Correct answer: It has 5 sides and 5 vertices.
      Correct answer: It has one pair of perpendicular sides.
      It has two pairs of perpendicular sides.
      It has one pair of parallel sides.
      Correct answer: It has no pairs of parallel sides.

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