Reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1

Multiplicative relationships

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

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

Only using one step, what is the additive relationship for the connection of these numbers?

What two steps can be applied here for the connection of these numbers?

There is none as it is division not multiplication

Using the function machine, what is the multiplicative relationship between the numbers?

What is the single additive step that connects these numbers?

Using the values in the table, match the following.

A ____________ is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its __________ is equal to 1

What is the additive relationship between the numbers shown?

Match the numbers with their reciprocal. 

Which of these operations could connect these two numbers?

Which of these would fit the multiplicative relationship?

Multiplicative relationships

Lesson outcome