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

Maths

Explain what percent means and represent a percentage in different ways

Explain how to convert percentages to decimals and fractions with a denominator of 100

Explain how to convert a percentage to a fraction without a denominator of 100

Use knowledge of fraction-decimal-percentage conversions to solve problems in a range of contexts

Use knowledge of calculating 50%, 10% and 1% of a number to solve problems in a range of contexts

Use knowledge of calculating common percentages of a number to solve problems in a range of contexts

Explain how to solve problems where the percentage part and size is known but the whole is unknown

Solve problems where the known percentage part and size represents a change to the whole

Solve problems involving percentages in a range of contexts

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.

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

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

Lesson outcome