Discussion in 'Mathematics' started by v3884, Mar 4, 2012.

1. ### v3884

I am planning a
Maths lesson for Year 4 and really like the investigation below (have
been searching for hours for something suitable!)- do you think it is
OK? -

I have have abilities from P8 to 4a and want to make sure all children are suitably challenged etc.

Does anyone have any ideas as to how I can extend it, challenge my HA and G&T and also ideas for suppoting my LA?

Thank you so much in advance!

v3884 xx

Pocket
Money Investigation

Auntie Jane has offered four different ways in
which her nieces could earn their pocket money in the future.

She will give &pound;100 in Year 1, then every year after
that it will go down &pound;10 a year.

She will give &pound;10 in Year 1, then every year after
that it will go up &pound;20 a year.

She will give &pound;10 in Year 1, then every year after
that it will double.

Option 4: She will give &pound;10 in Year 1, then every year after
that it will go up by 1.5 times.

Create a chart to find the totals for 5 years and 8
years time.

Did you choose the best option?

2. ### NazardNew commenter

I like this one lots ... but have only ever used it at secondary schools.

I don't know, for example, whether you ought to simplify massively for your P8 pupils. Eg: "Option 1 will give £100 in year 1, £90 in year 2, £80 in year 3 - how much is that?"

There are some interesting things that crop up here. For example, with Option 1, what will happen in Year 11? Do you have to give money back to Auntie Jane?

The version I know has an elderly Aunt Jane, which means that you need to factor in how long she might live. There is then the moral issue of whether you hope your Aunt will live for a long time or suspect she might pop her clogs fairly soon, not to mention whether you want to take the old dear for as much as you can. In terms of real-life maths there is also the issue of whether in ten years time she will be forced to pay for her own long-term care and won't be able to stump up the ten grand that option 3 will warrant. (!)

Whatever you decide you will want to check the numbers and wording for Options 2, 3 and 4.

Option 2: Do you mean go up £10 a year, or up £20 per year. Not really a problem, but good to check.

Option 3: I think that starting at a tenner and doubling gives rather a lot rather quickly - it still works if you start at £1 and double ...

Option 4: I don't like the wording "go up by 1.5 times" - I think that "you multiply the amount by 1.5" is clearer. There are also decimals to consider here - and the pupils will need to decide how to deal with them. There is plenty in this to extend the L4 pupils.

HTH. Have fun with it!

3. ### v3884

Thank you for your response! Was desperately trying to think of ideas
to challenge my G&T, but think I may have been slightly ambitious!
Will keep that idea for another day though!
Have now changed my LO to using written methods for adding decimals.
Therefore LA = adding whole numbers/amounts of money - buying items to fill a party bag upto the cost &pound;1
MA
- finding out totals of different foods for the party menu eg. pizza +
chips = &pound;3.45 + &pound;0.99 - do am thinking I might use easier amounts maybe
1dp? giving them different options and finding out which is the cheapest