Proportionality means when variables are in proportion if they have a constant multiplicative relationship.

A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.

Representing a multiplicative relationship

Maths

The multiplicative relationship is extended in the future unit by considering percentages and the connections between multiplicative relationships and direct proportion. By building on a secure understanding of fractions and ratio, pupils can see their understanding of multiplicative relationships being extended.

In the prior unit, pupils generalised and developed their fluency of multiplying with fractions. In this unit, this understanding is extended to ratio and connections between ratios and fractions are explored.

Understanding multiplicative relationships: fractions and ratio

Which shows the ratio "For every 2 rabbits (R), there is 1 carrot(C)" ?

Chosen interval should be equally spaced.

Each number on each interval increases by 1.

Numbers can be placed anywhere on the line.

Select the correct statement for drawing double number lines.

Using the double number line, identify the correct ratio. 

Here is a double number line. Which of the following are equivalent to this double number line?

Match the graph with the proportion it represents.

Which of the double number lines are equivalent to the graph?

Which of the following show this ratio or an equivalent ratio?

A __________ shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.

The table shows the proportion of red to green. Which of these also correctly describe this proportion?

For every 2 As there are 5 Bs. If there are 35 letters in total, how many Bs are there?

For every 12 As there are 4 Bs. If there are 4 letters in total, how many Bs are there?

This lesson will be removed by end of Summer Term 2025.

Representing a multiplicative relationship

Lesson outcome

This lesson will be removed by end of Summer Term 2025.