✏️ Euclid · AMC 12

Euclid / AMC 12 — Level 1

Foundation-level problem solving for students preparing for the University of Waterloo Grade 11–12 contests and the AMC 12.

Course Purpose

Students completing this level will be equipped to solve Parts A and B problems in the University of Waterloo contests for Grades 11 and 12, and problems 1–15 in the AMC 12 competition.

🏫 UW Contests Gr. 11–12 — Parts A & B 🏆 AMC 12 — Problems 1–15

Curriculum

🔢

Combinatorics

  • Combinatorial Identities
  • Stars and Bars
  • Geometric Counting
  • Geometric Probability
  • Expected Value
  • Recursion
📊

Algebra

  • Polynomial Roots
  • Vieta's Formulas
  • The Rational Root Theorem
  • Complex numbers
  • Systems of Equations
  • Speed, Distance, Time
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Number Theory

  • Algebraic Number Theory
  • Diophantine Equations
  • Fermat's Little Theorem, Wilson's Theorem
  • Chinese Remainder Theorem
  • Bases of Numeration
📐

Geometry

  • Concurrence theorems
  • Important lines in triangles
  • Circles, Power of a point, Radical axes, Cyclic quadrilaterals
  • Trigonometry and its use in geometry
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