Fractions are equal parts of a whole, equal amounts (areas) not shape.

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Presentation transcript:

What are the key aspects of fractions that children need to understand? Fractions are equal parts of a whole, equal amounts (areas) not shape. There are different ways to find half, quarter etc. They link closely with sharing, so bring in the vocabulary of fractions They ‘look’ different depending on the context The bigger the denominator the smaller the fraction The ‘whole’ can be: a single unit a number more or less than one an interval on a number line. Children need to have extensive experience building on their early understanding: In the hall making half a turn In the water tray/sand pit filling half a container Sharing chocolates/counters/anything so have half each Moving minute hand of a clock half way round the clock face.

How can we regularly use and apply fractions in maths? Year 1 Blocks A, B, D, E Solve problems involving counting, adding, subtracting, doubling or halving in the context of numbers, measures or money, for example to 'pay' and 'give change' Year 2 Blocks B, D, E Solve problems involving addition, subtraction, multiplication or division in contexts of numbers, measures or pounds and pence Year 3 Blocks A, B, D, E Solve one–step and two–step problems involving numbers, money or measures, including time, choosing and carrying out appropriate calculations Year 4 Blocks A, B, E Solve one-step and two-step problems involving numbers, money or measures, including time; choose and carry out appropriate calculations, using calculator methods where appropriate Year 5 Blocks A, D, E Solve one-step and two-step problems involving whole numbers and decimals and all four operations, choosing and using appropriate calculation strategies, including calculator use Year 6 Blocks A, D, E Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage, including calculator use

Here is a picnic that Chris and Michael are going to share equally. Can you tell us what each of them will have?

Here is a bowl of fruit. Half of the pieces of fruit in the bowl are apples. There are also three oranges, two pears and a banana. How many apples are there in the bowl? If, instead, one quarter were apples and one quarter were oranges and there were four bananas, three pears and three plums how many would be apples?