Foundations (AMC 8)
Build your core toolbox first: algebra, geometry, counting, and number theory fundamentals that show up across AMC and early AIME problems.
Focus on understanding patterns and writing clean solutions before moving on.
Modules Progress
Problems Progress
Number Theory Basics
Fluency with arithmetic and foundational number theory.
Arithmetic and Number Theory Basics
Updated: 8 minutes ago
Linear Diophantine Equations
Updated: 8 minutes ago
Chicken McNugget Theorem
Updated: 8 minutes ago
Algebra Basics
Linear equations, factoring patterns, and core manipulation skills.
Algebra Basics
Updated: 8 minutes ago
Exponent Rules
Updated: 8 minutes ago
Quadratic Identities
Updated: 8 minutes ago
Quadratic Formula and Discriminant
Updated: 8 minutes ago
Systems of Equations
Updated: 8 minutes ago
Substitution Techniques
Updated: 8 minutes ago
Simon's Favorite Factoring Trick
Updated: 8 minutes ago
Cubic Factorizations
Updated: 8 minutes ago
Algebra Tools
Vieta's formulas and polynomial root transformations.
Averages and Sequences
Means, arithmetic and geometric sequences, and telescoping sums.
Mean, Median, Mode, and Harmonic Mean
Updated: 8 minutes ago
Arithmetic Sequences
Updated: 8 minutes ago
Geometric Sequences
Updated: 8 minutes ago
Telescoping Sums and Products
Updated: 8 minutes ago
Intro Inequalities
AM-GM, Cauchy-Schwarz, and foundational bounding techniques.
AM-GM Inequality
Updated: 8 minutes ago
Cauchy-Schwarz Inequality
Updated: 8 minutes ago
Inequalities Foundations
Updated: 8 minutes ago
Counting Fundamentals
Permutations, combinations, inclusion-exclusion, and pigeonhole.
Counting Fundamentals
Updated: 8 minutes ago
Pascal's Triangle & Binomial Theorem
Updated: 3 minutes ago
Inclusion-Exclusion
Updated: 8 minutes ago
Pigeonhole Principle
Updated: 8 minutes ago
Stars and Bars
Updated: 8 minutes ago
Geometry Basics
Triangles, similarity, circles, and core area formulas.
Geometry Basics
Updated: 8 minutes ago
Triangle Angle Sum
Updated: 8 minutes ago
Triangle Area Formulas
Updated: 8 minutes ago
Special Triangles
Updated: 8 minutes ago
Right Triangles and Pythagorean Triples
Updated: 8 minutes ago
Special Right Triangles
Updated: 8 minutes ago
Medians and the Centroid
Updated: 8 minutes ago
Angle Bisectors
Updated: 8 minutes ago
Altitudes and the Orthocenter
Updated: 8 minutes ago
Triangle Similarity
Updated: 8 minutes ago
Basic Proportionality (Thales)
Updated: 8 minutes ago
Law of Sines
Updated: 8 minutes ago
Law of Cosines
Updated: 8 minutes ago
Inscribed and Central Angles
Updated: 8 minutes ago
Special Quadrilaterals
Updated: 8 minutes ago
Coordinate Geometry Basics
Distance, midpoint, slope, and line equations.
Word Problems
Translating stories into equations using rates, mixtures, and ratios.
Intro to Probability
Sample spaces, complements, conditional probability, and expected value.
Uncategorized
Auto-discovered modules not yet placed in a syllabus chapter.