• Change an improper fraction to a mixed number; recognise when two simple fractions are equivalent, including relating hundredths to tenths.
  • Use decimal notation for tenths and hundredths.
  • Find a difference by counting up through the next multiple of 10, 100 or 1000.
  • Add and subtract mentally pairs of two-digit numbers.


  • Use fraction notation to describe parts of shapes and to express a smaller whole number as a fraction of a larger one; simplify fractions by cancelling all common factors and identify equivalent fractions; convert terminating decimals to fractions e.g. 0.23 = 23/100; use a diagram to compare two or more simple fractions.
  • Begin to add and subtract simple fractions and those with common denominators; calculate simple fractions of quantities and measurements (whole-number answers); multiply a fraction by an integer.
  • Understand percentage as the ‘number of parts per 100’; recognise the equivalence of percentages, fractions and decimals; calculate simple percentages.
  • Consolidate and extend mental methods of calculation to include decimals, fractions and percentages, accompanied where appropriate by suitable jottings; solve simple word problems mentally.
  • Check a result by considering whether it is of the right order of magnitude and by working the problem backwards.
  • Break a complex calculation into simpler steps, choosing and using appropriate and efficient operations, methods and resources, including ICT.
  • Present and interpret solutions in the context of the original problem; explain and justify methods and conclusions, orally and in writing.


  • Know that a recurring decimal is a fraction; use division to convert a fraction to a decimal; order fractions by converting them to decimals.
  • Calculate fractions of quantities and measurements (fraction answers); multiply and divide an integer by a fraction.
  • Find the outcome of a given percentage increase or decrease.
  • Recall fraction to decimal conversions.

Key Vocabulary:

  • numerator, denominator, mihxed number, proper fraction, improper fraction, decimal fraction, percentage, equivalent, convert, simplest form

Suggested Lesson Outcomes:



Teaching & Learning Resources:

Fractions Resources
Decimals Resources
Mental Methods Resources
Equivalent Fractions Resources
Fraction Arithmetic Resources
Percentages Resources
FDP Resources
Recurring Decimal Resources
Fraction of Amount Resources
Percentage Change Resources