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

Checking understanding of multiplicative relationships

Securing understanding of ratio as a multiplicative relationship

Multiplicative relationships in context

Expressing multiplicative relationships as ratios and fractions

Multiplicative relationships

Equivalent multiplicative relationships

Ratio language and notation

Checking and securing finding a fraction of a given amount

Deepening understanding with fractions of a given amount

Expressing one number as a fraction of another

Dividing a quantity into a given ratio

Determining the whole

Determining the part

Describing exchange rates with ratio

Describing more conversions with ratio

Problem solving with fractions and ratios

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.

This unit introduces the concept of multiplicative relationsihps, and connects fractions to the idea of ratios. Ratios are then explored in depth and used to solve contextual problems such as those involving exchange rates and general conversions.

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?

Representing a multiplicative relationship

Lesson outcome