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

Checking understanding of multiplicative relationships

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.

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

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

Securing understanding of ratio as a multiplicative relationship

Multiplicative relationships in context

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

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

shows us how many equal parts in a whole.

Expressing multiplicative relationships as ratios and fractions

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

Multiplicative relationships

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

Equivalent multiplicative relationships

Representing a multiplicative relationship

Ratio language and notation

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

Checking and securing finding a fraction of a given amount

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

Deepening understanding with fractions of a given amount

A terminating decimal is one that has a finite number of digits after the decimal point..  E.g. 92.2, 193.3894, non-example:  $$1.\\dot9$$.

Understanding multiplicative relationships: fractions and ratio

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These lessons will be removed by end of Summer Term 2025.