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Understanding percentages

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Why this why now

This unit introduces pupils to percentages. They explain what percent means and represent percentages in different ways, linking them to parts of a whole and converting between common fractions and percentages. They also consider equivalence with decimals. They use knowledge of calculating parts of a whole to calculate 50, 10 and 1% of values before combining these to calculate other percentages. Pupils also explain how to calculate the whole when a percentage is known and solve problems in a range of contexts. This prepares pupils for work on statistics.

Prior knowledge requirements

  • Understand fractions as parts of a whole
  • Relate simple fractions to decimals
  • Recognise percentages as number of parts per hundred

Threads

Why this why now

This unit introduces pupils to percentages. They explain what percent means and represent percentages in different ways, linking them to parts of a whole and converting between common fractions and percentages. They also consider equivalence with decimals. They use knowledge of calculating parts of a whole to calculate 50, 10 and 1% of values before combining these to calculate other percentages. Pupils also explain how to calculate the whole when a percentage is known and solve problems in a range of contexts. This prepares pupils for work on statistics.

Prior knowledge requirements

  • Understand fractions as parts of a whole
  • Relate simple fractions to decimals
  • Recognise percentages as number of parts per hundred

Understanding percentages

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.

10 lessons in unit