Solve problems involving percentages 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

Use knowledge of calculating any percentage 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

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

If 100% = 1,100 match these percentages to the answers.

Work out the new price of the toy robot. £{{ }}

Work out the new price of the toy panda. £{{ }}

Lucas thinks of a number and says that 4% of his number is 160     What is his number?

Sofia has read 70% of her book which is 210 pages. How long is her book in total? {{ }} pages

Laura has cycled for 72 km which is 75% of her race. The total length of the race is {{ }} km

Match each percentage amount to the value of 100% e.g. If 10% = 1.8 then 100% = ___

What is the new price of the sunglasses? £{{ }}

What is the new price of the hat? £{{ }}

What was the original price of this T-shirt? £{{ }}

Solve problems involving percentages in a range of contexts

Lesson outcome