The associative law states that a repeated application of the operation produces the same result regardless of how pairs of values are grouped. We can group using brackets.

Finding a percentage with a multiplier

Maths

Checking understanding of percentages

Securing understanding of percentages

Multiplicative relationships presented graphically

Scaling diagrams for multiplicative relationships

Expressing one number as a percentage of another

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

What percentage is equivalent to the decimal 0.01?

Match each percentage question with the correct calculation.

The UK government distributed approximately £720 billion to the a number of sectors. How much money does "Transport" receive?

Fractions, proper fractions, improper fractions and mixed numbers

Fractions, decimals, percentages and ratio

Positive numbers, negative numbers, squares and cubes

__________, __________, __________ and __________ all represent proportion and you can interchange between them; this means there are lots of different ways to work out a percentage of an amount. 


$$\frac{3}{50}$$ as a percentage is {{ }}%.

Match each percentage to its decimal equivalent.

What percentage of 98 is represented by this calculation: 98 − 9.8?

Finding a percentage with a multiplier

Lesson outcome