Draw shapes with given properties on a range of geometric grids | Maths

Starter quiz

Look at these four shapes. What do they have in common?
- They are all quadrilaterals.
- They are all rectangles.
- They all have at least one pair of parallel sides. ✓
- They all have at least one pair of perpendicular sides.
Order the shapes starting with the shape with the highest number of vertices.
- 1
  
  ⇔
  
  Octagon
- 2
  
  ⇔
  
  Hexagon
- 3
  
  ⇔
  
  Pentagon
- 4
  
  ⇔
  
  Rhombus
True or false? A trapezium must have a pair of perpendicular sides.
- True
- False ✓
Complete the definition. A parallelogram has four sides, four vertices and …
- … only one pair of parallel sides.
- … two pairs of parallel sides. ✓
- … only one pair of perpendicular sides.
- … two pairs of perpendicular sides.
Which shape does this describe? A quadrilateral with four equal length sides. It has two pairs of parallel lines.
- Rectangle
- Rhombus ✓
- Trapezium
The hexagon has been decomposed into three parts. One is a parallelogram. Name one of the other two parts.
- 'trapezium' ✓

Exit quiz

How many pairs of perpendicular sides does this polygon have?
- '1' ✓
Andeep moves one vertex to change shape A to shape B. What has changed?
- Nothing.
- Shape B is no longer a pentagon.
- Shape B no longer has perpendicular sides. ✓
- Shape B now has a pair of parallel sides. ✓
True or false? This triangle has one right angle and therefore a pair of perpendicular sides.
- True ✓
- False
Sofia begins to draw a septagon. The points will become vertices. How many more points does she need to have to make a septagon?
- '3' ✓
Sofia says if she connects the vertices shown here she will have a quadrilateral with a pair of perpendicular sides. Do you agree?
- Yes ✓
- No
Sofia completes a shape to make a pentagon. Tick the correct statements.
- It has 5 sides and 5 vertices. ✓
- It has one pair of perpendicular sides. ✓
- It has two pairs of perpendicular sides.
- It has one pair of parallel sides.
- It has no pairs of parallel sides. ✓

Worksheet

Loading worksheet ...

Presentation

Loading presentation ...

Lesson Details

Key learning points

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

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.

Keywords

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