Proof by Deduction [IB Math AA SL/HL]

The speaker provides an overview of "Proof by Deduction" in mathematics, a concept included in both Analysis and Approaches SL and HL courses. They define a mathematical proof as a series of logical steps to show that one side of a mathematical statement is equal or equivalent to the other. The speaker demonstrates this concept through three examples, starting with a basic arithmetic proof, then an algebraic proof involving variables, and finally a word problem requiring the proof that the sum of squares of any two consecutive odd integers is even. The explanation emphasizes transforming one side of the equation to match the other without moving terms across the equal sign, concluding with the use of "QED" or "LHS is equivalent to RHS" as a concluding statement.