Fractions, Decimals, Percentages

Students learn how to use place value and equivalent fractions to convert between fractions, decimals and percentage using calculator and non-calculator methods.

This unit takes place in  Year 7 Term 5, and follows on from place value.


Fractions, Decimals, Percentages Lessons

Prerequisite Knowledge

  • Compare and order fractions, including fractions > 1
  • Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places
  • associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8]
Key Concepts
  • To convert a fraction to a percentage students need to use equivalent fractions to give the fraction a denominator of 100.
  • The place value can be used to convert a decimal to a fraction.  The column in which the decimal terminates is the denominator.
  • To write a decimal as a percentage it can be multiplied by 100 using the place value table.
  • A percentage is a fraction with a denominator of 100.
Working mathematically

Develop fluency

  • Consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals and fractions.

Reason mathematically

  • Extend their understanding of the number system; make connections between number relationships, and their algebraic and graphical representations

Solve problems

  • Begin to model situations mathematically and express the results using a range of formal mathematical representations
Subject Content

Number

  • Work interchangeably with terminating decimals and their corresponding fractions.
  • Define percentage as ‘number of parts per hundred’, interpret percentages and percentage changes as a fraction or a decimal
  • Interpret fractions and percentages as operators

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