New
New
Year 4

Explore symmetry by joining two identical shapes

I can compose symmetrical shapes from two identical shapes.

New
New
Year 4

Explore symmetry by joining two identical shapes

I can compose symmetrical shapes from two identical shapes.

Lesson details

Key learning points

  1. A shape is symmetrical when one half is a reflection of the other half.
  2. When you fold a shape on a line of symmetry, the two halves will match exactly.
  3. You can join two identical shapes together to create a new shape.
  4. When you join two identical shapes, sometimes the new shape will be symmetrical.
  5. When you join two identical shapes, sometimes the new shape will have no lines of symmetry.

Common misconception

Some children will think that a parallelogram is symmetrical because it can be divided in half.

Demonstrate with folding and by using mirrors why dividing a parallelogram in half does not result in a line of symmetry. Allow children to explore this concept with cut-outs of different parallelograms.

Keywords

  • Symmetrical - When a shape, pattern or image has two halves that match exactly when folded, it can be described as symmetrical.

  • Line of symmetry - If you were to fold a shape at its line of symmetry, both halves would match exactly.

  • Identical - Two shapes that are exactly the same can be described as identical.

There are additional materials provided for this lesson which will allow children to explore the concept of symmetry practically by using cut-outs of different triangles and quadrilaterals.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
When one half of a pattern is a reflection of the other half, the pattern is __________.
symmetry.
a line of symmetry.
Correct answer: symmetrical.
Q2.
True or false. This pattern is symmetrical.
An image in a quiz
True
Correct answer: False
Q3.
How many vertices does a quadrilateral have?
Correct Answer: 4
Q4.
Which of these shapes are quadrilaterals?
Correct answer: parallelogram
Correct answer: trapezium
pentagon
hexagon
Correct answer: rhombus
Q5.
Which of these statements are true for all quadrilaterals?
Correct answer: They have four straight sides.
They have a line of symmetry.
They have one right angle.
They have two sides the same length.
Correct answer: They have four vertices.
Q6.
Match the description to the type of shape.
Correct Answer:Rectangle,A four-sided shape with four right angles.

A four-sided shape with four right angles.

Correct Answer:Quadrilateral,Any four-sided shape.

Any four-sided shape.

Correct Answer:Square,A four-sided shape with four right angles and four equal sides.

A four-sided shape with four right angles and four equal sides.

6 Questions

Q1.
When patterns and shapes are symmetrical, both sides are __________.
Correct answer: identical.
different.
halved.
Q2.
True or false. These triangles are identical.
An image in a quiz
True
Correct answer: False
Q3.
These shapes have been made using two identical triangles. Which shape does not have a line of symmetry?
An image in a quiz
Correct answer: a
b
c
Q4.
Izzy created shapes using trapeziums. Which shape does not have a line of symmetry?
An image in a quiz
a
b
Correct answer: c
d
Q5.
True or false. This shape has more than one line of symmetry.
An image in a quiz
Correct answer: True
False
Q6.
This shape is made from 2 parallelograms. How many lines of symmetry does it have?
An image in a quiz
2
1
Correct answer: 0

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