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What a proof actually is: statements, conditions, the logic symbols ⇒, ⇐ and ⇔, and the standard number sets.
Proving a result for all cases with a chain of algebra that starts from definitions. This is the method most A-Level proof questions expect.
Splitting a statement into every possible case and checking each one, and knowing when that approach is valid.
Why a single well-chosen example can destroy a claim, and how to hunt for one efficiently.
Assuming the opposite and showing it leads to something impossible, including the proofs that √2 is irrational and that there are infinitely many primes.
Work through each topic to complete the section.