Commutative Percentages

Content Name

Commutative Percentages

Content Type

Partner Content

Description

Commutative Percentages is seemingly another mathematical ‘trick’, but one which can be simply explained by exploring commutativity (and also by using cross multiplying for further examples) It explores the principle that all percentages can be calculated ‘either way round’. E.g. 44% of 25 is equivalent to 25% of 44 or 56% of 20 is equivalent to 20% of 56.

Curriculum

• Country

  England

  Key Stage:

  Key Stage 2

  Years:

  Year 5, Year 6

  Subjects:

  • Mathematics

  Topics:

  • Number - fractions (including decimals and percentages)
  • Number - Fractions (including decimals and percentages)

  Programmes of Study:

  • recall and use equivalences between simple fractions, decimals and percentages, including in different contexts
  • recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per 100’, and write percentages as a fraction with denominator 100, and as a decimal fraction

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