This is an interesting investigation which mainly covers the topics of rearranging formulae, expanding brackets and simplifying expressions. However, there are some links to ICT as the words input and output are introduced to students.
The pupils are asked to think of a domino and using all the possible digits on the domino as input (if the numbers on the domino were 1 and 6: A=1 and B=6) into a given algorithm find an output. The pupils are then asked to find a formula which connects the input and output.
This investigation is very logical and gets students to see patterns, but there is also a very logical, satisfying solution to the problem which is sequential and hopefully gets students to appreciate the rigor of mathematics.
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