# Further proportionality

In this lesson, we will look at examples of proportion where we have three variables involved.

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!

## Question 4

Q1.1. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, find a formula for y in terms of 𝑥.

1/4

Q2.2. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of y when 𝑥 = 4?

2/4

Q3.3. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of 𝑥 when y = 12?

3/4

Q4.4. y is inversely proportional to 𝑥². Given that y = 9 when 𝑥 = 2, what is the value of y when 𝑥 = 6?

4/4

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!

## Question 4

Q1.1. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, find a formula for y in terms of 𝑥.

1/4

Q2.2. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of y when 𝑥 = 4?

2/4

Q3.3. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of 𝑥 when y = 12?

3/4

Q4.4. y is inversely proportional to 𝑥². Given that y = 9 when 𝑥 = 2, what is the value of y when 𝑥 = 6?

4/4

# 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.

Quiz:

# Further proportionality

Look at an examples of proportion where we have three variables involved.

## Question 3

Q1.1. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find a formula for y in terms of x.

1/3

Q2.2. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find a formula for x in terms of z²

2/3

Q3.3. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find the value of y when z = 4

3/3

Quiz:

# Further proportionality

Look at an examples of proportion where we have three variables involved.

## Question 3

Q1.1. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find a formula for y in terms of x.

1/3

Q2.2. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find a formula for x in terms of z²

2/3

Q3.3. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find the value of y when z = 4

3/3

# Lesson summary: Further proportionality

### 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

### Take part in The Big Ask.

The Children's Commissioner for England wants to know what matters to young people.

This was the final lesson in the unit Direct and Inverse Proportion.