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

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 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

When items cost less in a sale, match the ways that you can calculate a new price.

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? £{{ }}

Lucas has read 25% of his book. He has read 73 pages. His book is {{ }} pages long.

Aisha thinks of a number. 20% of her number is 95     What is her number?

Lucas has read 75% of his book. This is 99 pages. How many pages are in his book?{{ }} pages

Aisha thinks of a number. 60% of her number is 78     What number is Aisha thinking of?

Lucas takes part in a race. He has run 70% of the race which is 840 m     What is the distance of the whole race? {{ }} m

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

Lesson outcome