Two fractions are equivalent if they have the same value.

Checking understanding of percentages

Maths

Securing understanding of percentages

Multiplicative relationships presented graphically

Scaling diagrams for multiplicative relationships

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

Percent comes from the Latin phrase “per centum” meaning “by the __________ .”

The percentage of this grid that is shaded is {{ }}%.

What fraction of this grid is shaded? Select your answer in its simplified form.

Match each percentage question with the calculation needed to work it out. 

Which of the following are valid calculations to work out 55% of 400?

Two fractions are __________ if they have the same value.

Match each percentage calculation to its answer.

Checking understanding of percentages

Lesson outcome