BC Foundations of Math 11 British Columbia Foundations of Math 11 Unit 1 — Mathematical reasoning, logic, and proof1.1 Types of reasoning: inductive vs deductive thinking 1.2 Conjectures: making, testing, refining 1.3 Logic structures (if–then statements, converse/inverse/contrapositive in context) 1.4 Counterexamples (how one example disproves a statement) 1.5 Introduction to proof (explaining why a claim must be true) 1.6 Puzzle/game analysis as a reasoning task (strategy, justification,