Make and draw quadrilaterals on circular geoboards | Maths

Starter quiz

Tick the shape which is a trapezium.
Match the shape name to the number of vertices it has.
- Rectangle
  
  ⇔
  
  4 vertices ✓
- Hexagon
  
  ⇔
  
  6 vertices ✓
- Octagon
  
  ⇔
  
  8 vertices ✓
True or false? These lines are all parallel to one another.
- True ✓
- False
Complete the sentence. This quadrilateral has ______ pair(s) of perpendicular sides.
- '0' ✓
Complete the sentence. This polygon has ______ pairs of parallel sides.
- '0' ✓
Select the correct three shapes the pentagon has been decomposed into.
- Triangle, two trapeziums ✓
- Triangle, two rectangles
- Triangle, two pentagons
- Three triangles

Exit quiz

Select the quadrilaterals.
Select the parallelogram.
Select the properties of this polygon drawn on a circular grid.
- Four vertices, one pair of perpendicular sides and no parallel sides.
- Four vertices, one pair of perpendicular sides, one pair of parallel sides.
- Four vertices, no perpendicular sides and no parallel sides. ✓
What is the name of this polygon?
- Rectangle
- Quadrilateral ✓
- Parallelogram
- Trapezium
Select the parallelograms which are not rectangles.
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.
- The number of pairs of parallel sides they have. ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

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

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.

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.