Advanced Algebraic Structures · Algebraic Thinking

Proof and Mathematical Logic

Developing formal techniques of proof, including induction, contradiction, and direct derivation.

Key Questions

  1. 1What constitutes a mathematically rigorous argument versus a simple observation?
  2. 2How does the principle of mathematical induction resemble a falling row of dominoes?
  3. 3Why is proof by contradiction a powerful tool for showing that certain numbers are irrational?

ACARA Content Descriptions

AC9MSM10
Year: Year 12
Subject: Mathematics
Unit: Advanced Algebraic Structures
Period: Algebraic Thinking

Suggested Methodologies

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