Make shapes by joining two polygons in different ways | Maths

Starter quiz

A __________ is a 2D shape made up of three or more straight lines.
- polygon ✓
- quadrilateral
Which of these statements are true for all quadrilaterals?
- They have 4 straight sides. ✓
- They have a line of symmetry.
- They have two sides the same length.
- They have 4 vertices ✓
Which of these shapes are quadrilaterals?
- a ✓
- b
- c
- d ✓
Which of these describe the properties of all triangles?
- 3 straight sides ✓
- 1 right angle
- 3 vertices ✓
- 2 sides the same length
Which of these shapes are triangles?
- a ✓
- b
- c
- d ✓
Match the description to the type of shape.
- rectangle
  
  ⇔
  
  A four-sided shape with 4 right angles. ✓
- quadrilateral
  
  ⇔
  
  Any four-sided shape. ✓
- square
  
  ⇔
  
  A four-sided shape with 4 right angles and 4 equal sides. ✓

Exit quiz

Two triangles have been joined to make new polygons. Which new shape is not a quadrilateral?
- a
- b ✓
- c
- d
Complete the sentence. Lines are parallel when __________
- they get closer together.
- they get further apart.
- they are always the same distance apart. ✓
A rectangle is a quadrilateral. What are the properties of a rectangle?
- Four equal sides.
- Two pairs of equal sides. ✓
- Four right angles. ✓
- Two pairs of parallel sides. ✓
- Only one pair of parallel sides.
Look carefully at this polygon. Which statements are true?
- It has two pairs of parallel sides. ✓
- It is a quadrilateral. ✓
- It has four right angles.
- It has five sides.
True or false. These shapes are all rectangles.
- True
- False ✓
Which of these quadrilaterals does not have any parallel sides?
- a
- b ✓
- c
- d

Worksheet

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Presentation

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Lesson Details

Key learning points

The same parts can create a different whole.
Lines are parallel because they are always the same distance apart.
A quadrilateral with two pairs of parallel sides is called a parallelogram.

Common misconception

Pupils do not recognise the new shape and only identify the smaller shapes it is composed of.

Using plastic shapes to compose a new shape and drawing around the shape can support pupils to see the properties of the new shape. Drawing around removes the joined sides inside the new polygon.

Keywords

Polygon - A 2D shape made up of three or more straight lines.
Quadrilateral - Polygons with four straight sides and four vertices.