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Year 6

Identify and describe the relationship between regular polygons using scale factors

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

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New
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Year 6

Identify and describe the relationship between regular polygons using scale factors

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

Download all resources
Share activities with pupils
Share function coming soon...

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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.

Common misconception

That regular polygons include all familiar shapes even if they don't meet the definition.

Reinforce the definition and apply to the regular shapes which appear in this lesson.

Keywords

  • Dimensions - The dimensions of an object or shape are the lengths of its sides and edges

  • Scale factor - A scale factor is the ratio between the dimensions of the original shape and the new shape. The scale factor can be an integer or a fraction

  • Regular polygon - A regular polygon has all sides the same length and all angles equal

  • Similar shapes - Similar shapes can be transformed into each other by scaling their dimensions by the same scale factor

Make sure that pupils are aware that it is the lengths of the sides of the shapes, the dimensions, that are scaled and that the scale factors apply to those and not to the area which is covered in future learning.
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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Worksheet

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Starter quiz

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6 Questions

Q1.
What number is 11 times greater than 5?
Correct Answer: 55, fifty five, fifty-five
Q2.
What number is one half times the size of 72?
34
35
Correct answer: 36
37
Q3.
Sam makes lemonade and uses 1 part lemon for every 3 parts water. If they use 33 parts water, how many parts of lemon will they need?
An image in a quiz
31
20
Correct answer: 11
3
Q4.
Sam makes lemonade and uses 1 part lemon for every 3 parts water. If they use 8 parts lemon, how many parts of water will they need?
An image in a quiz
Correct Answer: 24, twenty four, twenty-four
Q5.
A quiz team is made up of 3 adults and 4 children. If there are 63 people taking part. Which equation represents the number of teams taking part?
An image in a quiz
$$63 - 7 = 56$$
Correct answer: $$63 \div 7 = 9$$
$$7 \times 7 = 49$$
$$3 + 4 = 7$$
Q6.
A quiz team is made up of 3 adults and 4 children. If there are 63 people taking part, how many of them are children?
An image in a quiz
60
59
49
Correct answer: 36

Exit quiz

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6 Questions

Q1.
Which of these statements describe the dimensions of a 2D shape
The sizes of the angles of a 2D shape
The area of a 2D shape
Correct answer: The length of the sides and edges of a 2D shape
The properties of a 2D shape
Q2.
Write the 2 words which complete this definition of a regular polygon: A regular polygon has all ___ the same length and all ___ equal.
areas
Correct answer: sides
properties
Correct answer: angles
Q3.
Which phrase completes this sentence: A scale factor is ___.
... the sum of the lengths of the sides of a polygon
... the number of sides a polygon has
Correct answer: ... the ratio between the dimensions of the original shape and a new shape
Correct answer: ... number you multiply each dimension by to create a similar polygon
Q4.
What is the scale factor between triangles A and B?
An image in a quiz
8
4
Correct answer: 3
16
Q5.
Sam says that the scale factor between triangles A and B is 12. Are they correct?
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Yes
Correct answer: No
Q6.
Sam says that the scale factor between triangles A and B is 12. Why is Sam not correct?
An image in a quiz
Correct answer: Sam has calculated the difference between the length of a side of each triangle
Correct answer: Sam has not worked out how many times longer the length of a side in B is
Correct answer: Sam has not worked out how many 3s there are in 15
Correct answer: Sam has not thought about multiplication and division