Explain how to convert a percentage to a fraction without a denominator of 100

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

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

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

Match the fraction to the correct percentage.

Look at the image. What fractions are equivalent to the ones shown?

What is the missing denominator in this fraction? {{ }}

40% of the one-hundred squares is shaded. Tick the fractions that are equivalent to 40%

Look at the number of squares that are shaded in this one-hundred square representation. Which statements are correct?

Complete the missing percentage. $$ {19} \over {100} $$ = {{ }}%

Match the percentage to the correct decimal number.

Match the decimal number to the correct fraction or percentage.

Explain how to convert a percentage to a fraction without a denominator of 100

Lesson outcome