Variables are in proportion if they have a constant multiplicative relationship.

Checking understanding of multiplicative relationships

Maths

Securing understanding of ratio as a multiplicative relationship

Multiplicative relationships in context

Expressing multiplicative relationships as ratios and fractions

Multiplicative relationships

Equivalent multiplicative relationships

Representing a multiplicative relationship

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

Select the different ways in which proportions can be represented.

In test A, Laura gest 14 out of 20 correct

In Test B, Sofia gets 35 out of 70 correct.

In Test D, Lucas got 104 out of 200 correct.

Match each proportion with the correct statement.

No, the part time Oak teacher receives a higher pay rise.

No, the Oak teacher receives a higher pay rise than the part time teacher.

There is not enough information to determine if they receive the same pay rise. 

An Oak teacher is paid £4000 per month and gets a 15% pay rise. A part time Oak teacher gets £800 per month and receives a £96 pay rise. Are the pay rises the same? Select the correct statement.

A receives 10% of £80 and B receives 50% of £14

A receives 35% of £90 and B receives 30% of £120

A receives 15% of £400 and B receives 80% of £75

Match each description to the correct statement.

A 10% reduction of a 20% reduction of £200 is £{{}}.

{{}} is a part to whole (sometimes part to part) comparison.

Starting with largest, put these percentage calculations in descending order.

Starting with the largest, put these percentage calculations in descending order.

Checking understanding of multiplicative relationships

Lesson outcome