Sharing - Maths -Learning with ��˿�� Bitesize

How sharing equally relates to division

The idea of sharing is used to help explain division.

When a quantity is shared equally between people, what you're calculating is how much each person gets (how big each share is).

Sharing equally

When we share equally everybody gets the same amount but when we don’t share equally people get different amounts.

In this slideshow you will learn how to share out amounts in 10s, 2s and 5s equally.

Practice sharing equally by copying the examples in the slideshow. Ask a grown-up to help you find 20 small items such as blocks or buttons and draw 10 circles on a blank piece of paper.

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We're going to look at sharing equally in 10s, 2s, and 5s.
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If we share 20 number blocks equally between the 10 circles, there will be 2 number blocks in each circle.
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If we share 10 number blocks equally between the 10 circles, there will be 1 number block in each circle.
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Here you can see 10 and 20 shared equally between 10. What does sharing 30 and 40 between 10 look like?
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If you share 30 equally between 10, you have 3 number blocks in each circle and if you share 40 equally between 10, you have 4 number blocks in each circle.
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Let's share between 2. If you share 4 between 2, you have 2 number blocks in each circle. 8 shared between 2 is 4. 12 shared between 2 is 6, and 16 shared between 2 is 8.
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Now let's share between 5. If you share 5 between 5, you have 1 number block in each circle. 10 shared between 5 is 2, 15 shared between 5 is 3 and 20 shared between 5 is 4.

Division symbol

In this slideshow you will look at the connection between 'shared between' and the ÷ symbol.

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Here are 20 slices of cake and 5 children. If they share out the cake equally, how many slices does each person get?
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Each person gets 4 cupcakes because 20 shared between 5 is 4. Shared between means divided by. Writing this mathematically we would write 20 ÷ 5 = 4

What does the ÷ symbol mean?

The divide symbol (÷) means 'shared between'.

So 20 ÷ 5 = 4 is the same as 20 'shared between' 5 is 4.

Here are two division questions that look very similar:

20 ÷ 10 and 20 ÷ 2

20 ÷ 10 = 2 and 20 ÷ 2 = 10

Both division questions contain the same numbers so when you know the answer to one you can easily work out the answer to the other.

Activity

Quiz

Have a go at this quiz and practise sharing things equally.

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