GCSE Transition Masterclass Block 1: (Ages 13-14)

When: Weekly Wednesday: 6-7pm

Commencing: Wednesday 11th November

Year 9 and High-achieving Year 8 GCSE Transition Program

Block 1: Rigorous Algebraic Proof & Manipulation (Lessons 1–6)

• Week 1: 11th November: Algebraic Identities vs. Equations

  • Focus: Formal notation, expanding binomials, and proving algebraic identities by deduction.

• Week 2: 18th November: Number Structure Proofs

  • Focus: Representing algebraic number structures to prove properties of consecutive squares and odd numbers.

• Week 3: 25th November: Proof by Counter-Example & Disproof

  • Focus: Testing boundary conditions, disproving universal conjectures, and establishing domain validity.

• Week 4: 2nd December: Advanced Algebraic Fraction Manipulation

  • Focus: Simplifying multi-deck algebraic fractions, completing the square, and linear systems.

• Week 5: 9th December: Proof by Contradiction Intro

  • Focus: Structuring formal proofs by contradiction, culminating in the proof that the square root of 2 is irrational.

• Week 6: 16th December: UKMT Intermediate Challenge Problem Solving

  • Focus: Deconstructing multi-step non-standard algebraic word problems and sequence logic questions.