New
New
Year 3

Make shapes by joining two polygons in different ways

I can make compound shapes by joining two polygons in different ways.

New
New
Year 3

Make shapes by joining two polygons in different ways

I can make compound shapes by joining two polygons in different ways.

Lesson details

Key learning points

  1. The same parts can create a different whole.
  2. Lines are parallel because they are always the same distance apart.
  3. 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.

Allow time for pupils to explore making polygons with two identical triangles. You could use identical plastic shapes to support manipulation.
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.
A __________ is a 2D shape made up of three or more straight lines.
Correct answer: polygon
quadrilateral
Q2.
Which of these statements are true for all quadrilaterals?
Correct answer: They have 4 straight sides.
They have a line of symmetry.
They have two sides the same length.
Correct answer: They have 4 vertices
Q3.
Which of these shapes are quadrilaterals?
An image in a quiz
Correct answer: a
b
c
Correct answer: d
Q4.
Which of these describe the properties of all triangles?
Correct answer: 3 straight sides
1 right angle
Correct answer: 3 vertices
2 sides the same length
Q5.
Which of these shapes are triangles?
An image in a quiz
Correct answer: a
b
c
Correct answer: d
Q6.
Match the description to the type of shape.
Correct Answer:rectangle,A four-sided shape with 4 right angles.

A four-sided shape with 4 right angles.

Correct Answer:quadrilateral,Any four-sided shape.

Any four-sided shape.

Correct Answer:square,A four-sided shape with 4 right angles and 4 equal sides.

A four-sided shape with 4 right angles and 4 equal sides.

6 Questions

Q1.
Two triangles have been joined to make new polygons. Which new shape is not a quadrilateral?
a
Correct answer: b
c
d
Q2.
Complete the sentence. Lines are parallel when __________
they get closer together.
they get further apart.
Correct answer: they are always the same distance apart.
Q3.
A rectangle is a quadrilateral. What are the properties of a rectangle?
Four equal sides.
Correct answer: Two pairs of equal sides.
Correct answer: Four right angles.
Correct answer: Two pairs of parallel sides.
Only one pair of parallel sides.
Q4.
Look carefully at this polygon. Which statements are true?
An image in a quiz
Correct answer: It has two pairs of parallel sides.
Correct answer: It is a quadrilateral.
It has four right angles.
It has five sides.
Q5.
True or false. These shapes are all rectangles.
An image in a quiz
True
Correct answer: False
Q6.
Which of these quadrilaterals does not have any parallel sides?
a
Correct answer: b
c
d

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