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Lesson 14 of 16
Direct proportion in context
I can recognise direct proportion in a range of contexts, including compound measures.
Lesson 14 of 16
New
New
Direct proportion in context
I can recognise direct proportion in a range of contexts, including compound measures.
Lesson details
Key learning points
- Direct proportion can be used in a number of contexts.
- One context is converting compound measure.
- Another context is currency conversion.
- It is useful to be able to recognise which contexts involve direct proportion.
Keywords
Proportion - Two variables are in direct proportion if they have a constant multiplicative relationship.
Common misconception
Assuming that to convert 1 metre squared to cm squared you multiply by 100 and not 10 000
Encourage any pupil who initially finds this challenging to ensure that the values are in the required unit for the answer before doing the calculation.
Pupils can be provided with or research recipes they are interested in and scale the recipes to have the amounts needed to feed the class.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), 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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Prior knowledge starter quiz
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6 Questions
Q1.Graphs showing direct proportion have a gradient with an intercept of 0.
Graphs showing direct proportion have a gradient with an intercept of 0.
Q2.Which of the following graphs does NOT show direct proportion?
Which of the following graphs does NOT show direct proportion?
Q3.Which tables show that A and B are in direct proportion?
Which tables show that A and B are in direct proportion?
Q4.The constant of proportionality represented by this graph is .
The constant of proportionality represented by this graph is .
Q5.Which of the following is NOT true of this graph?
Which of the following is NOT true of this graph?
The constant of proportionality is 0.5
The graph does show a directly proportional relationship.
Q6.What are the missing words in this statement? A graph representing direct __________ has a __________ __________ gradient and an __________ of __________.
What are the missing words in this statement? A graph representing direct __________ has a __________ __________ gradient and an __________ of __________.
relationship, constant positive, intercept, one
proportion, changing positive, intercept, zero
proportion, constant negative, intercept, zero
relationship, constant negative, intercept, one
Assessment exit quiz
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6 Questions
Q1.Two variables are in proportion if they have a constant multiplicative relationship.
Two variables are in proportion if they have a constant multiplicative relationship.
Q2.5 miles = 8 kilometres. So 7 miles is kilometres.
5 miles = 8 kilometres. So 7 miles is kilometres.
Q3.Convert 1 m² into cm².
Convert 1 m² into cm².
100 cm²
1000 cm²
100 000 cm²
1 000 000 cm²
Q4.The cost of a box of pens is £4.50. Five boxes of pens cost £ .
The cost of a box of pens is £4.50. Five boxes of pens cost £ .
Q5.If $20 = £15.80, which of the following are true?
If $20 = £15.80, which of the following are true?
$50 = £45.80
$8 = £3.80
Q6.A recipe needs 180 ml of milk to make 15 scones. You can make scones using 6 litres of milk.
A recipe needs 180 ml of milk to make 15 scones. You can make scones using 6 litres of milk.