Monday 13 August 2012

Lesson Sketch: mathematics of a cake sale

Intro:

There is a cake sale coming up and you plan to sell these flapjacks:
http://allrecipes.co.uk/recipe/3846/apricot-oat-flapjacks.aspx
How much should you charge for one? Why? Will that make me a profit? How do you know? How much profit would I make? How could I work it out?

Main:

Give pupils the recipe: http://allrecipes.co.uk/recipe/3846/apricot-oat-flapjacks.aspx and either a table of prices or access to a supermarket website, such as http://www.tesco.com/
Pupils work out how much it costs to make a batch of 8 flapjacks and the profit they could make on each one sold.

Extension:

What are the most expensive parts of these flapjacks? Try to replace some things in the recipe with something similar in order to make the total cost lower. How much profit would you make now? How cheap could you make them?
Can you find a different cake recipe that would be cheaper to make?

Further Discussions:

This cake is slightly cheaper to make than the flapjacks:
http://allrecipes.co.uk/recipe/23758/rich-tea-biscuit-cake.aspx
Should I make these instead of the flapjacks? Why? Why not? What other considerations should I be making apart from price? (Time, effort, equipment needed, etc.)

You may discuss how some people factor time as money using a basic wage.

2 comments:

  1. Nice idea.
    I quite like the relatively open nature of it with natural extension ideas.

    Would be interesting to consider bulk buying of the products needed and also to see what value the Ss put on the time needed. Is time to cook equivalent to time to prepare for example?

    Dave

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  2. Glad you like it.

    Ye I love those sorts of discussions because no matter what mathematical knowledge you have you can bring something to the table, which the students who are more comfortable with maths can then formalise and abstract.

    At some point I'd really like to extend this in to a 'setting up your own restaurant' project which would end with students pitching their business plan as if they were requesting a loan. That is for another day though.

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