Use knowledge of calculating 50%, 10% and 1% 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 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

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 do we calculate the percentages shown here?

One of the stages of the Tour de France race is 170 km long. Match the percentage of the race to the number of km.

A different stage of the Tour de France is 208 km long. If a rider has completed 1% of the race, how far have they ridden?

If 100% of a number is 1,500, what is 1% of the number? {{ }}

If 10% of a number is 23.5, what is 100% of the number? {{ }}

50% of a number is 56    Use this fact to find the other percentages.

Percent means the number of parts in each {{ }}.

Look at the image. What is the missing numerator?

$$ {5} \over {20} $$ of the beads in the bracelet are purple. What percentage of the beads is this?

Look at the sets of fractions, decimals and percentages. Which set is correct?

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

Lesson outcome