Myths about teaching can hold you back
- Year 8
Scaling diagrams for multiplicative relationships
I can use a scaling diagram to represent a multiplicative relationship and connect to other known representations.
- Year 8
Scaling diagrams for multiplicative relationships
I can use a scaling diagram to represent a multiplicative relationship and connect to other known representations.
These resources were made for remote use during the pandemic, not classroom teaching.
Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.
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...
Prior knowledge starter quiz
6 Questions
Q1.Proportion is a part to whole comparison. If two things are proportional then the ratio of part to whole is maintained and the ___________ relationship between parts is also maintained.
Q2.Which of these diagram types give a good representation of a proportional relationship?
Q3.85% of 40 is .
Q4.Match each percentage of a number with its answer.
118
192
420
90
80
Q5.Using this ratio table, work out 99% of 860.
Q6.Match the start of each statement to its correct conclusion.
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.
Assessment exit quiz
6 Questions
Q1.A scaling diagram allows you to see ___________ as a scaling as it shows how one number maps to another.
Q2.Using the scaling diagram, match each percentage to the corresponding amount.
100
200
80
40
180
Q3.Using the scaling diagram, match each percentage to the corresponding amount.
60
30
0
120
15
Q4.Using the scaling diagram, match each percentage to the corresponding amount.
80
40
16
24
32
Q5.Using the scaling diagram to find the multiplier, match each amount or percentage with the corresponding value.
100%
90%
60%
£64
£57.60
£38.40
Q6.Use the scaling diagram to work out 60%.
