This is an investigation (including teacher notes and worksheets) which is suitable for GCSE maths students, though higher ability KS3 students should be able to complete it.
The problem students have to answer is ‘Can you find a formula to find out the total possible number of half-time scores if you know the full-time score of a football match?’ Probability is the main topic covered (listing outcomes, formula for total number of outcomes) as well as algebra topics such as expanding brackets, sequences, factorising and generalising formulae.
Pupils can probably work on this independently with some teacher input in setting up the investigation and prompting pupils.
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