New
New
Year 6

Identify and describe the relationship between irregular polygons using scale factors

You can identify and describe the relationship between two irregular polygons using scale factors

New
New
Year 6

Identify and describe the relationship between irregular polygons using scale factors

You can identify and describe the relationship between two irregular polygons using scale factors

Lesson details

Key learning points

  1. Two similar shapes can be described as being 'x' times greater or smaller than each other.
  2. If one similar shape is smaller than another, the scale factor is a fraction.
  3. Shapes related by a scale factor are similar.

Keywords

  • Irregular polygon - An irregular polygon is a polygon where the sides and angles are not all equal

Common misconception

Not comparing the same or corresponding sides of related shapes.

Label the sides of shapes clearly and refer to them with consistent language of height and width.

Make sure that pupils have the opportunity to explain what is happening as the shapes are scaled and that all dimensions are being multiplied by the same scale factor.
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).

Lesson video

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6 Questions

Q1.
There is lots of information given about this shape. Which bits of information tell you about its dimensions?
An image in a quiz
Correct answer: Length of sides 6 cm
Area is 36 squared cm
Opposite sides are parallel
Angles are right angles
Q2.
Which of these pairs of shapes are similar?
An image in a quiz
Correct answer: A
B
A and B
Neither A or B
Q3.
What is the scale factor between hexagons A and B?
An image in a quiz
2
3
4
Correct answer: 5
8
Q4.
What number is one and a half times the size of 6?
3
6
Correct answer: 9
12
Q5.
Which of these shapes is similar to triangle A with a scale factor of 4?
An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q6.
Which of these shapes is similar to square A with a scale factor of one half?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz

6 Questions

Q1.
Which of these shapes are regular polygons?
rectangle
trapezium
Correct answer: equilateral triangle
right angled triange
Correct answer: square
Q2.
Which of these shapes are irregular polygons
Correct answer: rectangle
Correct answer: trapezuim
equilateral triangles
Correct answer: right angled triangle
square
Q3.
Is a hexagon a regular shape?
Yes
No
Correct answer: Yes if all its sides are the same length
Q4.
A and B are similar rectangles. What is the missing dimension in rectangle B?
An image in a quiz
15 cm
40 cm
20 cm
Correct answer: 30 cm
Q5.
This ratio table gives the dimensions of two rectangles. What is the scale factor between the rectangles?
An image in a quiz
2
3
4
5
Correct answer: 6
Q6.
What is the relationship between the height and width of both rectangles?
An image in a quiz
Correct answer: The ratio of height to width in both rectangles is 1 to 2 or 1 : 2
Correct answer: The height of each rectangle is double the width
Correct answer: The width of each rectangle is half the height