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

Checking understanding of percentages

Securing understanding of percentages

Multiplicative relationships presented graphically

Expressing one number as a percentage of another

Finding a percentage with a multiplier

Increase by a percentage

Decrease by a percentage

Finding the original amount after an increase

Finding the original amount after a decrease

Finding the percentage change

Multiplicative relationships and direct proportion

Graphing direct proportion

Direct proportion in context

Inverse proportion in context

Problem solving with percentages and proportionality

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.

In this unit pupils explore multiplicative relationships with percentages, direct and inverse proportion.

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.

Scaling diagrams for multiplicative relationships

Lesson outcome