Recall decimal fraction equivalents for 1/2, 1/4, 1/5 and , 1/10 and for multiples of these proper fractions (1)

Pupils know that both proper fractions and decimals fractions can be used to represent values between whole numbers. They now need to learn that the same value can be represented by both a decimal fraction and a proper fraction, and be able to recall common equivalents, beginning with unit fractions. Pupils should then extend their understanding and automatic recall to multiples of these unit fractions/decimal fractions, up to 1. Pupils must be able to use these common equivalents with little effort, applying them to solve comparison and measures problems such as those shown in the example assessment questions. For a given problem, posed using a mixture of decimal fractions and proper fractions, pupils should be able to make a sensible decision about whether to carry out the calculation using decimal fractions or proper fractions. Finally, pupils need to extend this knowledge beyond the 0 to 1 interval. They should know for example that 3.2km and 3 1/5 km are 2 different ways of writing the same distance.