# Generalising and comparing generalisations

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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Walk

On the spot:
Dance