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IdahoAMC

AMC 10 lessons

Algebra & Number Theory

  1. Systems, Rates, and Work Problems
  2. Quadratics, the Discriminant, and Vieta's Formulas
  3. Algebraic Manipulation and Factoring Identities
  4. Sequences and Series
  5. Exponents, Radicals, and Logarithms
  6. Functions, Graphs, and Inequalities
  7. Modular Arithmetic and Remainders
  8. Divisors, Bases, and Diophantine Equations

Geometry

  1. Angle Chasing and Polygons
  2. Triangle Centers, Medians, and Cevians
  3. Similar Triangles and Area Ratios
  4. Right Triangles and Basic Trigonometry
  5. Circles: Chords, Tangents, and Inscribed Angles
  6. Area Techniques: Heron, Shoelace, and Decomposition
  7. Analytic Geometry: Lines and Circles
  8. Three-Dimensional Geometry

Combinatorics

  1. Counting Principles and Permutations
  2. Combinations and the Binomial Theorem
  3. Complementary Counting and Inclusion-Exclusion
  4. Stars and Bars and Distributions
  5. Probability, Conditioning, and Expected Value
  6. Recursion and States
  7. Geometric Probability and Symmetry
  8. Pigeonhole, Invariants, and Extremal Arguments