Efficient means working in an organised way without wasting time or effort.

Use knowledge of calculating common percentages 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 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

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

75% is three one-quarters or $$ {3} \over {4} $$ so what is 75% of 240 km? {{ }} km

Use this fact to calculate other percentages. 100% is 120 km

If 100% is 250 km, use an efficient method to find 20% of 250 km {{ }} km

Match the percentages and fractions that are equivalent.

100% of a number is 240    Use this to match the percentages to the value.

One of the stages of the Tour de France race is 205 km long. Match the percentage of the race to the number of km.

A rider has completed 50% of a different stage of the race. If they have ridden 88 km, what is the length of the whole race? {{ }} km

If 100% of a number is 110, what is 1% of the number? {{ }}

If 10% of a number is 46.5, what is 100% of the number? {{ }}

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

Lesson outcome