Multiplicative relationships and direct proportion
I can appreciate the connection between multiplicative relationships and direct proportion.
Multiplicative relationships and direct proportion
I can appreciate the connection between multiplicative relationships and direct proportion.
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Lesson details
Key learning points
- Direct proportion can be represented on a graph.
- Direct proportion can be represented on a double number line.
- Direct proportion can be represented with a ratio table.
- Direct proportion is a multiplicative relationship.
Keywords
Direct proportion - Two variables are in direct proportion if they have a constant multiplicative relationship.
Common misconception
Incorrectly drawing or interpreting the scales on axes.
Use the approach where pupils count the number of intervals of the scale and divide the difference between the intervals. For example, if there are 5 intervals and the difference is between 20 and 30, they divide 10 by 2, so each interval is 2
To help you plan your year 8 maths lesson on: Multiplicative relationships and direct proportion, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Multiplicative relationships and direct proportion, 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.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.When you use a ratio table, you are using __________ relationship.
Q2.100% = 40 and 70% = 28. The percentage change is %.
Q3.The cost of a laptop increases from £540 to £702. What is the percentage change?
Q4.Jun thinks of a number and increases it by a percentage. The number Jun thought of was 80 and his new number is 100. Jun has increased his original number by %.
Q5.Jacob’s score on a game increases from 2450 to 2744. The percentage that Jacob's original score has changed by is %.
Q6.A reduced fat bag of crisps contains 3 g of fat. The normal bag of crisps contains 2 g more of fat. The percentage that the fat has been reduced by is %.
Assessment exit quiz
6 Questions
Q1.Two variables are in direct proportion if they have a multiplicative relationship.
Q2.Which of the following show a directly proportional relationship between A and B?
Q3.A and B are directly proportional. The missing value of B is .
Q4.A and B are directly proportional. The missing value of B is .
Q5.The graph shows the relationship between cost and number of boxes bought. Can you spend exactly £5 on boxes?
Q6.This graph shows that A and B are in direct proportion. The proportional relationship between A and B is B = A × .
