NSW Y12 Maths - Extension 2 Proof Methods of Proof

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Methods of Proof - Video - Four Basic Proof Techniques Used in Mathematics

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Methods of Proof - Video - Proof: Contradiction - Proving e is irrational

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NSW Syllabus Reference: MEX-P1 The Nature of Proof

This NSW syllabus reference for Methods of Proof focuses on

use the formal language of proof, including the terms statement, implication, converse, negation and contrapositive (ACMSM024)
prove simple results involving numbers (ACMSM061)
use proof by contradiction including proving the irrationality for numbers such as and (ACMSM025, ACMSM063)
use examples and counter-examples (ACMSM028)
prove results involving inequalities.
prove further results involving inequalities by logical use of previously obtained inequalities