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

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

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.

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

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

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

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

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

An exchange rate is the rate at which one currency is exchanged for another.

Understanding multiplicative relationships: fractions and ratio

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