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The Language of Mathematics and Proof

This RISP activity is ideal for introducing, consolidating or revising the idea of proof using a mathematical argument and appropriate use of logiocal deduction.

Students are asked to choose two triangular numbers and find when the difference is a prime number. Students should then be encouraged to attempt to prove their conjecture. The teacher notes suggest a pictorial proof and an algebraic proof.

Suggested extensions are to investigate when the difference of two squares is prime and when the difference of two cubes is prime.

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