Use knowledge of fraction-decimal-percentage conversions 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 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

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

If a whole or 1 is represented then this is equal to {{ }}%

Look at the image. True or false. $$ {5} \over {20} $$ = 25%

Jun has a bag of beads. $$ {8} \over {20} $$ of the beads are yellow. What percentage of the beads is this?

Match the percentages to an equivalent fraction.

Match the decimals and percentages that are equivalent.

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

Match the fraction to the correct percentage.

Look at the image. What fractions does it show?

What is the missing denominator in this fraction?

60% of the one-hundred square is shaded. Tick the fractions that are equivalent to 60%

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

Lesson outcome