Yr7/Yr8 Masterclass Block 1: (Ages 11-13)

When: Weekly Thursdays, 4:30pm-5:30pm

Commencing Thursday 12th November

Block 1 : Networks, Proof & Mathematical Logic (Lessons 1–6)

• Week 1: 12th November: Graph Theory & Eulerian Paths

  • Focus: Networks, vertex degrees, planarity, and solving the Seven Bridges of Königsberg problem.

• Week 2: 19th November: The Art of Logic & Deduction

  • Focus: Truth tables, Knights & Knaves logical paradoxes, counter-examples, and formal logical implication.

• Week 3: 26th November: Map Colouring & Planar Embeddings

  • Focus: Planar graphs, region boundaries, and exploring the visual proof of the Four-Colour Theorem.

• Week 4: 3rd December: Visual Geometry & Invariants

  • Focus: Area-preserving dissections, geometric visual proofs, and angle-chasing invariants in regular polygons.

• Week 5: 10th December: Set Theory & Infinite Sets

  • Focus: Set notation, Venn diagram logic, and exploring infinite sets via Hilbert’s Grand Hotel Paradox.

• Week 6: 17th December: UKMT Junior Challenge Tactics & Logic

  • Focus: Rapid pattern-spotting, logical elimination strategies, and solving non-standard UKMT Junior Mathematical Challenge questions.