# Direct or inverse proportion?

In this lesson, we will solve a variety of direct and inverse proportion problems. We will learn how to identify when a problem is about direct or inverse proportion.

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.True or False? Inverse proportion can be represented graphically with the line 𝒚 = 𝒂𝒙 passing through the origin.

1/7

Q2.True or False: Inverse proportion can be represented graphically using 𝑦 =𝑎/𝑥. This is a curved line.

2/7

Q3.Direct, inverse or neither?

3/7

Q4.Direct, inverse or neither?

4/7

Q5.Direct, inverse or neither?

5/7

Q6.Direct, inverse or neither?

6/7

Q7.Direct, inverse or neither?

7/7

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.True or False? Inverse proportion can be represented graphically with the line 𝒚 = 𝒂𝒙 passing through the origin.

1/7

Q2.True or False: Inverse proportion can be represented graphically using 𝑦 =𝑎/𝑥. This is a curved line.

2/7

Q3.Direct, inverse or neither?

3/7

Q4.Direct, inverse or neither?

4/7

Q5.Direct, inverse or neither?

5/7

Q6.Direct, inverse or neither?

6/7

Q7.Direct, inverse or neither?

7/7

# 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:

# Direct or inverse proportion

Exit Quiz

Q1.Decide whether the scenarios below represent direct or inverse proportion: The cost of apples and the quantity of apples.

1/7

Q2.Decide whether the scenarios below represent direct or inverse proportion: The speed travelled and the time taken.

2/7

Q3.The time it takes to build a house compared with the number of builders all working at the same rate.

3/7

Q4.Is this a direct or inverse proportion question? It takes 6 hours to fill a pool with water coming from three taps. How long would it take if only two taps are switched on?

4/7

Q5.Is this a direct or inverse proportion question? It costs £6 for a cinema ticket. Given that there are no current offers. How much would it cost to buy 6 tickets?

5/7

Q6.Does this scenario represent direct or inverse proportion or neither? 𝑥 represents the number of units of gas used in a house in a month. 𝑦 represents the cost in pence. There is a charge of £12 each month, even if no gas is used. Each unit of gas costs 25 pence.

6/7

Q7.Is this a direct or inverse proportion question? Michael fills a fish tank. Michael uses a 4 litre jug, he will need to use 15 jugfuls. How many jugfuls are needed if he uses a 6 litre jug?

7/7

Quiz:

# Direct or inverse proportion

Exit Quiz

Q1.Decide whether the scenarios below represent direct or inverse proportion: The cost of apples and the quantity of apples.

1/7

Q2.Decide whether the scenarios below represent direct or inverse proportion: The speed travelled and the time taken.

2/7

Q3.The time it takes to build a house compared with the number of builders all working at the same rate.

3/7

Q4.Is this a direct or inverse proportion question? It takes 6 hours to fill a pool with water coming from three taps. How long would it take if only two taps are switched on?

4/7

Q5.Is this a direct or inverse proportion question? It costs £6 for a cinema ticket. Given that there are no current offers. How much would it cost to buy 6 tickets?

5/7

Q6.Does this scenario represent direct or inverse proportion or neither? 𝑥 represents the number of units of gas used in a house in a month. 𝑦 represents the cost in pence. There is a charge of £12 each month, even if no gas is used. Each unit of gas costs 25 pence.

6/7

Q7.Is this a direct or inverse proportion question? Michael fills a fish tank. Michael uses a 4 litre jug, he will need to use 15 jugfuls. How many jugfuls are needed if he uses a 6 litre jug?

7/7

# Lesson summary: Direct or inverse proportion?

## Time to move!

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

For 5 mins...

Move around:
Climb stairs

On the spot:
Chair yoga