Algebraic Structures and Proof · Algebraic Thinking

Proof by Induction

Mastering the logic of mathematical induction to prove statements for all natural numbers.

Key Questions

  1. 1Why is the base case essential for the validity of an inductive step?
  2. 2How does the structure of induction mirror the concept of infinity?
  3. 3When is induction more powerful than a direct algebraic proof?

National Curriculum Attainment Targets

A-Level: Mathematics - ProofA-Level: Mathematics - Algebra and Functions
Year: Year 13
Subject: Mathematics
Unit: Algebraic Structures and Proof
Period: Algebraic Thinking

Suggested Methodologies

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