New
New
Year 10
Higher
Checking and securing understanding of direct proportion in context
I can recognise direct proportion in a range of contexts, including compound measures.
New
New
Year 10
Higher
Checking and securing understanding of direct proportion in context
I can recognise direct proportion in a range of contexts, including compound measures.
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Lesson details
Key learning points
- Direct proportion can be used in a number of contexts.
- One context is converting compound measure.
- Another is currency conversion.
- Regardless of the context, if one quantity is zero, the other must be as well.
- It is useful to be able to recognise which contexts involve direct proportion.
Keywords
Direct proportion - Two variables are in direct proportion if they have a constant multiplicative relationship.
Common misconception
All straight line graphs show direct proportion.
Only straight line graphs that pass through the origin (0, 0) show direct proportion.
A non-linear relationship between two variables means they are not directly proportional to each other. For example, there is a non-linear relationship between the radius and area of a sector. However, there does exist direct proportionality between the radius² and the area of that sector.
Teacher tip
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
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6 Questions
Q1.
Two variables are in proportion if they have a constant multiplicative relationship.
Q2.
Four friends went to the cinema. The cost of their tickets was £38. How much did each ticket cost? £
Q3.
In a supermarket, 3 tins of soup cost £4.80. 8 tins of the same soup should cost £
Q4.
Match each measurement to its equivalent measurement.
33 mm
3.03 m
0.33 cm
3300 mm
3300 cm
Q5.
Calculate the volume of this cuboid.
0.9 m³
9 m³
1.47 m³
132.15 m³
Q6.
Calculate the surface area of this cuboid.
0.09 m²
0.735 m²
2.94 m²
Exit quiz
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6 Questions
Q1.
Two variables are in direct proportion if they have a __________ relationship.
additive
constant multiplicative
multiplicative
Q2.
Which of these graphs shows direct proportion between the two variables?
Q3.
The ratio table shows the conversion €7 (Euros) = £6 (Pounds Sterling). €630 = £
Q4.
The perimeter of a triangle is 33 300 cm. Which calculation shows its perimeter in metres?
33 300 cm ÷ 10
33 300 cm ÷ (3 × 100)
33 300 cm ÷ 100 ÷ 100 ÷ 100
Q5.
A circular sector with an angle of 60° has a radius of 6 cm, an arc length of 2π cm and an area of 6π cm². Select the correct statements.
The area is directly proportional to the radius.
If the radius is doubled, the area will be 12π cm².
Q6.
The area of a triangle is 600 cm². The area of the triangle in metres squared is m².