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National Curriculum: Fractions (including decimals and percentages) - Year 3 - Exemplification

Created on 15 October 2013 by ncetm_administrator
Updated on 10 March 2014 by ncetm_administrator


Examples of what children should be able to do, in relation to each (boxed) Programme of Study statement

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

Children should be able to:

  • Use decimal notation for tenths
  • Divide single digits or whole numbers by 10
  • Explain how finding 1/10 is the same as dividing by 10

Here is part of a number line. Write in the numbers missing from the two empty boxes.

recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators

Children should be able to:

  • Recognise and write unit and non-unit fractions of shapes.

Unit Fractions. Unit means one. Here are some examples of unit fractions.

Can you spot the pattern? A unit fraction is one part of a whole that is divided into equal parts.

Non-unit fractions. Unit means one, so non-unit is any number apart from one. Here are some examples of non-unit fractions.

Many (or, rather, more than one of the) parts, of an equally divided whole, is a non-unit fraction.

Taken from: BBC skillswise different types of fraction

  • Understand that the number on the bottom of a fraction tells me how many pieces the whole is divided into

What fraction of this shape is shaded? How do you know? Is there another way that you can describe the fraction?

  • Find fractions of amounts

Here are 21 apples. Put a ring around one third of them.

recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators

Children should be able to:

  • Position fractions on a number line; eg. mark fractions such as ½, 3 ½ and 2 3/10 on a number line marked from zero to 5.

A fraction of each shape is shaded. Match each fraction to the correct place on the number line. One has been done for you.

recognise and show, using diagrams, equivalent fractions with small denominators

Children should be able to:

  • Identify pairs of fractions that total 1.
  • Circle two fractions that have the same value.
add and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7)

This could also be done by using drawings and in the array form:

For addition:

and for subtraction:

compare and order unit fractions, and fractions with the same denominators

Children should be able to:

  • Would you rather have 1/3 of 30 sweets or 1/5 of 40 sweets? Why?
solve problems that involve all of the above

Children should be able to answer questions like:

  • 15 grapes are shared equally onto five plates. What fraction of the grapes is on each plate?

  • Meg has 20 pet stickers to go on this page:

1/4 of them are dog stickers
1/2 of them are cat stickers
The rest are rabbit stickers

How many rabbit stickers does she have?


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16 February 2017 10:52
Hi there,

in your very useful exemplification, why have you included an example of adding and subtractuing fractions with different denominators? The objective seems to state very clearly that at Y3, children are only expected to add and subtract fractions with the same denominator. I am not criticising, i just want to be very clear about what I need to teach my children.

many thanks,

Ciara Molloy
By ciaramoll
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