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


  • 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

Leave a Reply

Your email address will not be published. Required fields are marked *

You may use these HTML tags and attributes:

<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Mr Mathematics Blog

Indices and Surds AS Mathematics

AS Mathematics Scheme of work for indices and surds

Pi Day Activities for Secondary Schools

Fun activities to celebrate Pi Day with your mathematics class.

Grade 5 Maths Problems

Problem solving lesson for students aiming for a Grade 5.