Expressing multiplicative relationships as ratios and fractions
I can express a multiplicative relationship as a ratio or as a fraction.
Expressing multiplicative relationships as ratios and fractions
I can express a multiplicative relationship as a ratio or as a fraction.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- By expressing the multiplicative relationship as a ratio, it can be easier to scale further.
- The relationship can be represented using a bar model.
- A bar model shows both parts of the ratio as well as the whole.
- A multiplicative relationship can be expressed as a fraction.
- There are many different ways to express the relationship.
Keywords
Proportionality - means when variables are in proportion if they have a constant multiplicative relationship.
Ratio - shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.
Fraction - shows us how many equal parts in a whole.
Common misconception
Pupils see the bar model and/or fraction as the whole as opposed to the proportion of the whole.
Emphasise equivalent fractions and equivalent bar models which show different parts to whole, but are the same proportion. e.g 3/5 = 60/100
To help you plan your year 7 maths lesson on: Expressing multiplicative relationships as ratios and fractions, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Expressing multiplicative relationships as ratios and fractions, 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: fractions and ratio unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
Loading...
Starter quiz
6 Questions
Exit quiz
6 Questions
For every 2 As, there are 3 Bs -
Fraction of A is $$\frac{2}{5}$$
For every 2 As, there are 5 Bs -
Fraction of A is $$\frac{2}{7}$$
For every 2 As, there are 2 Bs -
Fraction of A is $$\frac{1}{2}$$
For every 1 As, there are 2 Bs -
Fraction of A is $$\frac{1}{3}$$
For every 2 As, there are 3 Bs. -
A $$\times\frac{3}{2} $$ = B
For every 2 As, there are 5 Bs. -
A $$\times\frac{5}{2}$$ = B
For every 2 As, there are 2 Bs. -
A $$\times1 $$ = B
For every 1 As, there are 2 Bs. -
A $$\times2$$ = B
A is $$\frac{2}{3}$$ -
A $$\times\frac{1}{2} $$ = B
A is $$\frac{3}{5}$$ -
A $$\times\frac{2}{3} $$ = B
A is $$\frac{4}{7}$$ -
A $$\times\frac{3}{4} $$ = B
A is $$\frac{1}{3}$$ -
A $$\times 2 $$ = B