# Year 3: Fractions

New Maths Curriculum (2014): Year 3 objectives.

Pupils should connect tenths to place value and decimal measures, not restricted to decimals between 0 and 1 inclusive and to division by 10.

They should begin to understand unit and non-unit fractions as numbers on the number line, and deduce relations between them, such as size and equivalence. They should go beyond the [0, 1] interval, and 1/4 + 3/4 = 1 for example, relating this to measure.

Pupils should understand the relation between unit fractions as operators and division by integers.

They should continue to recognise fractions in the context of parts of a whole, numbers, measurements, a shape, or unit fractions as a division of a quantity.

Pupils should practise adding and subtracting fractions with the same denominator through a variety of increasingly complex problems to improve fluency.

 Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10 Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators Recognise and show, using diagrams, equivalent fractions with small denominators Add and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7) Compare and order unit fractions, and fractions with the same denominators Solve problems that involve all of the above