Use knowledge of calculating any percentage of a number to solve problems in a range of contexts

Maths

In this unit pupils will explain what percent means and how to represent a percentage in different ways. They will learn how to convert percentages to decimals and fractions and solve conversion problems. In the future unit pupils will interpret and construct pie charts and line graphs. They will read scales  linked to fractions angles percentages and understanding proportional relationships.

In the prior unit pupils learned how to multiply 2 unit fractions and 2 non-unit fractions. They learned how to divide a unit fraction and a non-unit fraction by a whole number. In this unit pupils will explain what percent means and how to represent a percentage in different ways. They will learn how to convert percentages to decimals and fractions and solve conversion problems.

Understanding percentages

How can you find the percentages of different numbers?

If 100% is £400, find these percentages.

Lucas needs to find the number of children who cycled to school. Look at the pie chart and complete each step of the table to calculate 21% of 300 children {{ }} 

Aisha’s battery has 69% of 600 minutes left.  Complete each step of the table to calculate 69% of 600 minutes. {{ }} minutes

Look at the table and find the missing percentage.  10 = {{ }}% of 50

Use the table to calculate the missing percentage.     125 = {{ }}% of 500

Use this fact to calculate other percentages. 100% is 160 km

If 100% is 450 km, use an efficient method to find 60% of 450 km {{ }} km

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