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      Make and draw shapes with and without parallel and perpendicular sides

      Lesson details

      Learning outcome

      I can make and draw compound shapes with and without parallel and perpendicular sides.

      Key learning points

      1. The properties must match the shape you have created.
      2. Lines are not perpendicular when they are not at right angles to each other.
      3. Lines are not parallel because they are not always the same distance apart.

      Keywords

      • Compound - A compound shape is one created using two or more basic shapes.

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

      Common misconception

      Pupils may find it challenging to recognise that the properties of composed shapes may be different from the shapes they are composed of.

      Drawing around compound shapes can really support children thinking about this as a 'new' shape with new properties.

      Teacher tip

      In the first cycle of the lesson the focus is on manipulating shapes to make compound shapes before drawing. Ensure pupils have sufficient time to explore practically before they move on to drawing.

      Licence

      This content is © Oak National Academy Limited (2026), 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.
      Select the correct name for this shape.

      An image in a quiz
      diamond
      Correct answer: square
      trapezium

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

      Correct Answer:Square,4 vertices
      Correct Answer:Pentagon,5 vertices
      Correct Answer:Heptagon,7 vertices

      Q3.
      Tick the shapes with at least one pair of perpendicular sides.

      An image in a quiz
      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

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

      An image in a quiz
      Correct Answer: 1, one

      Q5.
      Complete the sentence. This polygon has pair(s) of perpendicular sides.

      An image in a quiz
      Correct Answer: 2, two

      Q6.
      True or false? Triangles cannot have any sides that are perpendicular.

      True
      Correct answer: False

      6 Questions

      Q1.
      This is an example of a compound shape. What is a compound shape?

      An image in a quiz
      Correct answer: A shape composed of two or more other shapes
      Two rectangles joined together
      A polygon with six sides

      Q2.
      Lucas composes a shape from two polygons. Name one of the polygons the new shape is composed of.

      An image in a quiz
      Correct Answer: triangle, rectangle, square

      Q3.
      Lucas composes a shape from two polygons How many pairs of perpendicular sides does his new shape have? pair(s)

      An image in a quiz
      Correct Answer: 2, two

      Q4.
      Lucas composes a shape from two polygons How many pairs of parallel sides does his new shape have?

      An image in a quiz
      None
      Exactly one pair
      Correct answer: More than one pair

      Q5.
      Lucas draws this shape on dotted paper. Name the shape Lucas has drawn.

      An image in a quiz
      Correct Answer: hexagon

      Q6.
      True or false? This shape has no pairs of parallel sides and no pairs of perpendicular sides.

      An image in a quiz
      Correct answer: True
      False

      To help you plan your 3 maths lesson on: Make and draw shapes with and without parallel and perpendicular sides, download all teaching resources for free and adapt to suit your pupils' needs...