Generalising and comparing generalisations

In this lesson, you will combine everything learnt so far about angles in polygons to compare how specific examples relate to generalised cases.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.The mean interior angle of a quadrilateral is...

1/5

Q2.The mean exterior angle of a pentagon is...

2/5

Q3.If I have a regular polygon with an exterior angle of 5 degrees, how many sides does my polygon have?

3/5

Q4.A square would have both an interior and exterior angle of 90 degrees

4/5

Q5.If I had a shape with 180 sides, what would the mean exterior angle be?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.The mean interior angle of a quadrilateral is...

1/5

Q2.The mean exterior angle of a pentagon is...

2/5

Q3.If I have a regular polygon with an exterior angle of 5 degrees, how many sides does my polygon have?

3/5

Q4.A square would have both an interior and exterior angle of 90 degrees

4/5

Q5.If I had a shape with 180 sides, what would the mean exterior angle be?

5/5

Video

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Worksheet

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Generalising and comparing generalisations

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.The exterior angles of a hexagon sum to 540 degrees.

1/5

Q2.A triangle ALWAYS has each exterior angle as 60 degrees.

2/5

Q3.The general formula for working out the mean exterior angle of an n-sided polygon is...

3/5

Q4.The calculation to work out the sum of the interior angles for an octagon would be...

4/5

Q5.180n - 360 is a generalisation that tells us the...

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Generalising and comparing generalisations

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.The exterior angles of a hexagon sum to 540 degrees.

1/5

Q2.A triangle ALWAYS has each exterior angle as 60 degrees.

2/5

Q3.The general formula for working out the mean exterior angle of an n-sided polygon is...

3/5

Q4.The calculation to work out the sum of the interior angles for an octagon would be...

4/5

Q5.180n - 360 is a generalisation that tells us the...

5/5

Lesson summary: Generalising and comparing generalisations

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