🗺️ AMC Scope Map

✅ Core: Essential topic, frequently tested
⚠️ Light: Appears occasionally, basic level
❌ None: Not tested at this level
✅ Stretch: Advanced topic, appears in harder problems

This matrix shows which precalculus topics are tested on AMC 10 vs AMC 12, along with testing frequency and difficulty levels.

📊 Topic Coverage Matrix

Topic	AMC 10	AMC 12	Frequency	Notes
Functions & Transformations	✅ Core	✅ Core	Often	Domain/range, inverses, shifts
Absolute Value Equations	✅ Core	✅ Core	Often	Case splitting, graphing
Polynomial Basics	✅ Core	✅ Core	Often	Factoring, Vieta’s formulas
Rational Functions	⚠️ Light	✅ Core	Moderate	Asymptotes, holes
Exponents & Logarithms	✅ Core	✅ Core	Often	Laws, change-of-base
Trigonometry Basics	✅ Core	✅ Core	Often	Unit circle, special angles
Trig Identities	⚠️ Light	✅ Core	Moderate	Addition, double, half-angle
Laws of Sines/Cosines	✅ Core	✅ Core	Often	Triangle solving, area
Complex Numbers	❌ None	✅ Core	Moderate	Algebra, polar form
Complex Geometry	❌ None	✅ Stretch	Light	Rotations, loci, roots of unity
Sequences & Series	⚠️ Light	✅ Core	Moderate	Arithmetic, geometric, telescoping
Binomial Theorem	⚠️ Light	✅ Core	Light	Expansions, coefficients
Coordinate Geometry	✅ Core	✅ Core	Often	Lines, circles, distance
Conic Sections	❌ None	⚠️ Light	Light	Parabolas, ellipses (basic)
Vectors	❌ None	⚠️ Light	Light	2D vectors, dot product
Functional Equations	❌ None	⚠️ Light	Light	Substitutions, invariants
Inequalities (AM-GM)	⚠️ Light	✅ Core	Moderate	Arithmetic-geometric mean
Inequalities (Cauchy-Schwarz)	❌ None	⚠️ Light	Light	Advanced inequality technique

Must Master:

Nice to Have:

Must Master:

Advanced Topics:

Next: Check the Notation Cheatsheet for essential symbols and conventions.