Embedded Files
Lesson overview
Lesson overview
In this lesson you will:
discover the equation for direct proportion
complete an activity to find the constant of proportionality and write equations for a specific problem
solve problems with direct proportion.
Activity 1 - Discovering the equation for direct proportion
Activity 1 - Discovering the equation for direct proportion
Remember that direct proportion is when two quantities change together.
We have discovered that this forms a straight line. So, what might the equation be?
Task 1
Task 1
Watch the video, Variation (2 of 3: Direct example), that explains how to find the equation of two quantities that are directly proportional.
Variation (2 of 3: Direct example)
Duration 4:52
Task 2
Task 2
Complete the Proportional relationships quiz from the Maths Games website to check your understanding of how to find the equation for direct proportion examples.
Click on the image to open the website in a new tab.
Activity 2 - Finding the constant of proportionality
Activity 2 - Finding the constant of proportionality
Task 1
Task 1
Watch the video, Direct Linear Variation (1 of 2: Introduction) to find out what the constant of proportionality is.
Watch the video, Direct Linear Variation (2 of 2: Example questions), that demonstrates how to find the constant of proportionality.
Direct Linear Variation (1 of 2: Introduction)
Duration 7:44
Direct Linear Variation (2 of 2: Example questions)
Duration 5:40
Task 2
Task 2
Look at the image of Mr Short and read the information carefully.
To answer the problem, how many paper clips tall would Mr Tall be, you need to complete the following:
Find the constant of proportionality that links the number of paper clips to the number of matchsticks using the information provided for Mr Short.
Write an equation that links the number of matchsticks to the number of paperclips.
Use equation to answer the question.
Activity 3 - Solving problems with direct proportion
Activity 3 - Solving problems with direct proportion
Complete the Direct and inverse proportion quiz on the Transum.org website.
Click on the image below to open the quiz in a new tab.
Activity 4 - Triathlon and fitness
Activity 4 - Triathlon and fitness
Complete the Triathlon and Fitness activity on the NRICH website.
Click on the image below to open the quiz in a new tab.
Handing in your work
Handing in your work
Don't forget to hand in the work you completed today!
Your teacher will have told you to do one of the following:
Upload any digital documents you created and any photos you took of your written work to your Learning Management system (MS Teams, Google Classroom for example).
Email any digital documents you created and any photos you took of your written work to your teacher.
Make sure you keep any hand written work you did in your exercise book or folder as your teacher may need to see these when you are back in class.
Student reflection
Student reflection
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