AMC12 & Euclid & CSMC Contest Prep Class

Course Description

AMC12, Euclid, and CSMC are the most influential high-school math competitions in North America. Strong results in these contests significantly enhance university applications—especially for competitive majors like Computer Science, Engineering, Mathematics, and Business at universities such as Waterloo, UofT, McMaster, UBC, and McGill. This course builds the mathematical maturity, rigorous problem-solving skills, and competition strategies students need to excel. Course Goals • Build advanced problem-solving foundations • Master high-frequency AMC12, Euclid, and CSMC question types • Strengthen algebra, combinatorics, number theory, probability, and geometry • Develop multi-step reasoning and proof-based thinking • Significantly improve contest performance before official exam dates • Prepare students for higher-level competitions and university admissions Modules Module 1 — Algebra & Functions Inequalities · Functional equations · Polynomials · Rational functions · Transformations Module 2 — Number Theory Divisibility · Modular arithmetic · Diophantine equations · Prime factorization · Orders & residues Module 3 — Combinatorics & Counting Casework · Pigeonhole · Recurrence · Combinatorial identities · Counting strategies Module 4 — Geometry Similarity · Cyclic quadrilaterals · Coordinate geometry · Transformations · Trigonometric geometry Module 5 — Probability & Logic Expected value · Probability models · Conditional reasoning · Logic patterns Module 6 — Mock Exams & Contest Strategy Timed practice · Step-by-step solutions · Error analysis · Score-maximizing strategy Competition Pathway (G8 → University Application) Foundation → AMC10/CIMC → AMC12 → Euclid/CSMC → University Admission Boost • AMC12: Enhances mathematical maturity; recognized by U.S./Canadian universities • Euclid: Directly used by University of Waterloo for admission decisions • CSMC: Canada’s signature senior contest; excellent for STEM portfolios • Students aiming for CS/Engineering are strongly encouraged to complete this pathway Who Is This Course For? This class is ideal for: • High-achieving students in Grades 10–12 • Students targeting CS, Engineering, Mathematics, or competitive STEM majors • Students who have completed MCR3U/MHF4U or are strong in advanced algebra • AMC10/CIMC graduates ready for the next challenge • Students aiming for Waterloo, UofT, McGill, UBC, McMaster, Alberta, etc. • Students seeking to enhance university applications with competition achievements