Fractions, Decimals, Percentages, Ratio and Proportion

  1. Step 1
    Recognise unit fractions such as One half, One third, One quarter, One fifth, One tenth ... and use them to find fractions of shapes and numbers. View step.

  2. Step 2
    Recognise simple fractions that are several parts of a whole, such as Two thirds or Five eighths, and mixed numbers, such as Fifty three over four; recognise the equivalence of simple fractions (e.g. fractions equivalent to One half, One quarter or Three quarters). View step.

  3. Step 3
    Relate fractions to division and to their decimal representations. View step.

     
    Order a set of fractions such as 2, 2Three quarters, 1Three quarters, 2One half, 1One half and position them on a number line. View step.

     
    Use decimal notation for tenths and hundredths. View step.

  4. Step 4
    Reduce a fraction to its simplest form by cancelling common factors. View step.

     
    Use a fraction as an 'operator' to find fractions of numbers or quantities (e.g. Five eighths of 32, Seven tenths of 40, Nine hundredth of 400 cm). View step.

     
    Understand percentage as the number of parts in every 100 and find simple percentages of small whole-number quantities. View step.

  5. Step 5
    Solve simple problems involving ratio and proportion. View step.

     
    Begin to add and subtract simple fractions and those with common denominators. View step.

     
    Simplify fractions by cancelling all common factors and identify equivalent fractions. View step.

Steps 6 to 10