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Mathematics·Ratio & Proportion·conceptual

Percentages as Fractions

Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages greater than 100%

Suggested ages 11–13

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Evidence of understanding

  • Convert fluently between percentages, fractions, and decimals
  • Express one quantity as a percentage of another
  • Calculate percentage increases and decreases and interpret percentages greater than 100%

Assessment prompt

If a shop says a TV is 130% of its original price, does Percentages as Fractions understand what that means — and can they work out the new price from the original?

Standards alignment

6.RP.3cUS · ccss-math

Find a Percent of a Quantity

Common Core State Standards for Mathematics · 6

KS3.Maths.Num.10GB · uk-nc-2013

Percentages

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3