Math Competition Prep

4/23 - 10th Session

* Week 1 — Number Sense & Integer Strategies: Prime factorization, GCD/LCM, parity,
integer tricks, mental math techniques

* Week 2 — Problem‑Solving Heuristics: Work backward, draw diagrams, make tables,
invariants

* Week 3 — Algebraic Thinking: Patterns, sequences, expressions, functional reasoning,
Olympiad‑style algebra puzzles

* Week 4 — Ratios, Rates & Proportional Reasoning: Mixtures, work problems, motion
puzzles, complex ratio chains

* Week 5 — Counting & Combinatorics Basics: Permutations, combinations (conceptual),
casework, complementary counting

* Week 6 — Geometry Foundations: Angle chasing, triangle properties, polygons, geometric
constructions, area reasoning

* Week 7 — Advanced Geometry: Similarity, special points, circle geometry, coordinate
geometry techniques

* Week 8 — Number Theory: Modular arithmetic, divisibility, residues, Diophantine
reasoning, classic Olympiad problems

* Week 9 — Full-Length Olympiad Problem Practice: Multi-step reasoning, mixed-topic
problems, solution writing

* Week 10 — Mock Olympiad & Review: Timed contest, structured solutions, reflection,