Two fractions are equivalent if they have the same value.

Expressing one number as a percentage of another

Maths

Checking understanding of percentages

Securing understanding of percentages

Multiplicative relationships presented graphically

Scaling diagrams for multiplicative relationships

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

$$\frac{7}{20}$$ as a percentage is {{ }}%.

$$\frac{6}{25}$$ as a percentage is {{}}%.

Match each percentage to its decimal equivalent.

Using short division or otherwise, write $$\frac{7}{9}$$ as a percentage.

Two fractions are ____________ if they have the same value.

Using short division or otherwise, work out the decimal answer to 25 ÷ 4. 

Using short division or otherwise, work out the decimal answer to 1 ÷ 6.

Expressing one number as a percentage of another

Lesson outcome