Direct proportion in context
Lesson details
Learning outcome
I can recognise direct proportion in a range of contexts, including compound measures.
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.
Teacher tip
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.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Graphs showing direct proportion have a gradient with an intercept of 0.
Q2.Which of the following graphs does NOT show direct proportion?
Q3.Which tables show that A and B are in direct proportion?
Q4.The constant of proportionality represented by this graph is .
Q5.Which of the following is NOT true of this graph?
Q6.What are the missing words in this statement? A graph representing direct __________ has a __________ __________ gradient and an __________ of __________.
Assessment exit quiz
6 Questions
Q1.Two variables are in proportion if they have a constant multiplicative relationship.
Q2.5 miles = 8 kilometres. So 7 miles is kilometres.
Q3.Convert 1 m² into cm².
Q4.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?
Q6.A recipe needs 180 ml of milk to make 15 scones. You can make scones using 6 litres of milk.
To help you plan your 8 maths lesson on: Direct proportion in context, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 8 maths lesson on: Direct proportion in context, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Understanding multiplicative relationships: percentages and proportionality unit, dive into the full secondary maths curriculum, or learn more about lesson planning.