Myths about teaching can hold you back
- Year 8
Multiplicative relationships presented graphically
I can use a graph to represent a multiplicative relationship and connect to other known representations.
- Year 8
Multiplicative relationships presented graphically
I can use a graph to represent a multiplicative relationship and connect to other known representations.
Lesson details
Key learning points
- A multiplicative relationship given algebraically can be represented on a graph.
- From the graph you it is possible to find one value given another.
- From a graph it is possible to describe the multiplicative relationship.
Keywords
Proportionality - Proportionality means when variables are in proportion if they have a constant multiplicative relationship.
Ratio - A ratio shows the relative sizes of two or more values and allows you to compare a part with another part in a whole.
Equivalent fractions - Two fractions are equivalent if they have the same value
Common misconception
Incorrectly drawing a scaled axis is common.
Use the approach where pupils count the number of intervals of the scale and divide the difference bewteen 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 presented graphically, 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 presented graphically, 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.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.$$\frac{3}{4}$$ and $$\frac{9}{12}$$ are examples of fractions as they have the same value.
Q2.Select all the fractions that are equivalent to the fraction of this grid that is shaded.

Q3.Select the fractions that are equivalent to $$\frac{7}{20}$$.
Q4.Match each percentage calculation to its answer.
20% of 500 -
100
30% of 870 -
261
10% of 750 -
75
30% of 650 -
195
60% of 940 -
564
5% of 60 -
3
Q5.35% of 980 is .
Q6.99% of 780 is .
Assessment exit quiz
6 Questions
Q1.Which of the following are equivalent to 20%?
Q2.Use the ratio table to help you work out 31% of 860.

Q3.Use the double number line to work out 55% of 700.

Q4.The amount that represents 100% on this graph is .

Q5.The graph shows the grades achieved by pupils in a maths test. Aisha earned 61 marks in the test. What grade did Aisha achieve?

Q6.Match each mark or percentage with the correct information from the graph.

34 marks -
Grade C
34% -
Grade D
45 marks -
Grade B
45% -
Approximately 29 marks
60 marks -
Grade A
60% -
Approximately 40 marks