# What is 'shared between'?

## What is 'shared between'?

**word problems that involve division**. An example of such a Key Stage 1 problem might be:

*Nathan has 20 sweets. He shares them equally between his four friends. How many sweets does each friend get?*

## 'Sharing' division word problems in primary school

**Year 1**, children need to

**share into groups of 2, 5 or 10**(this coincides with their learning of the 2, 5 and 10 times tables in Key Stage 1).

In

**Year 2**, children would be

**introduced to various symbols including ÷ and would need to know that this symbol means 'divide' or 'share'**.

In

**Year 3**, children may still come across the word 'share' and will be

**moving onto dividing larger numbers by one-digit numbers**, such as 50 ÷ 4.

**20 ÷ 4 =**

They would then use their knowledge of times tables and the inverse to remember that 4 x 5 = 20, therefore the answer must be 5.

*I have 1.2 litres of orange juice. I need to share this equally between six people. How much orange juice will each child get?*

- One way of doing this is to convert the 1.2 litres into 1200ml and then recall that there are 5 lots of 200 in 1000, so there must be six lots of 200 in 1200, therefore each child will get 200ml.
- Another way of doing this is to think of the question as a number sentence:
*1.2 ÷ 6 =* - Since a child would know that 12 ÷ 6 is 2, they could then work out that 1.2 ÷ 6 = 0.2, so give their answer as 0.2 litres or 200ml.

*John has 362 marbles in a jar. He shares them between 7 people. How many marbles does each friend get? How many marbles are left over?*

Here a child could use the bus stop method:

Or they might choose to think about what they would multiply 7 by to make a number close to 362. They might work out that 5 x 7 = 35, therefore 5 x 71 = 351 with 5 left over, therefore each child would get 51 marbles with 5 left over.

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