If two things are proportional then the ratio of part to whole is maintained and the multiplicative relationship between parts is also maintained.

Scaling diagrams for multiplicative relationships

Maths

In this unit, pupils develop the skills to calculate a given percentage of an amount. In the percentages unit, this is extended to performing simple and compound interest calculations. 

The multiplicative relationship is extended in this 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.

Understanding multiplicative relationships: percentages and proportionality

A scaling diagram allows you to see ___________ as a scaling as it shows how one number maps to another.

Using the scaling diagram, match each percentage to the corresponding amount.

Using the scaling diagram to find the multiplier, match each amount or percentage with the corresponding value.

Proportion is a part to whole comparison. If two things are proportional then the ratio of part to whole is maintained and the ___________ relationship between parts is also maintained.

Which of these diagram types give a good representation of a proportional relationship?

Match each percentage of a number with its answer. 

Using this ratio table, work out 99% of 860.

good visual representations but must be scaled.

good visual representation, but it takes time to draw the bars.

have a constant multiplier between columns or rows.

Match the start of each statement to its correct conclusion.

Starter Quiz