Scaling diagrams for multiplicative relationships
I can use a scaling diagram to represent a multiplicative relationship and connect to other known representations.
Scaling diagrams for multiplicative relationships
I can use a scaling diagram to represent a multiplicative relationship and connect to other known representations.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A double number line can be used to represent a multiplicative relations.
- Double number lines and graphs of multiplicative relationships can be compared.
- A ratio table can be used to represent multiplicative relationships.
- The representations can be compared to see what is the same and what is different.
Keywords
Proportionality - If two things are proportional then the ratio of part to whole is maintained and the multiplicative relationship between parts is also maintained.
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: Scaling diagrams for multiplicative relationships, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Scaling diagrams for multiplicative relationships, 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
Loading...
Starter quiz
6 Questions
118
192
420
90
80
good visual representations but must be scaled.
concise and neat way to show proportion.
good visual representation, but it takes time to draw the bars.
start from 0 on the axes.
have a constant multiplier between columns or rows.
Exit quiz
6 Questions
100
200
80
40
180
60
30
0
120
15
80
40
16
24
32
100%
90%
60%
£64
£57.60
£38.40
