Curriculum
The ascent, mapped.
Seven learning paths from arithmetic to olympiad thought. Your track sets the destination; the engine recommends the next step.
Your competition track
Predicted AMC 10: 43.2 / 150
readiness
PATH·01
Foundations
Number sense before notation.
Arithmetic fluency, proportional reasoning, and estimation — rebuilt as thinking tools rather than procedures. The bedrock of every contest.
PATH·02
Pre-Algebra
The language of the unknown.
Variables, equations, inequalities, and the coordinate plane — symbolic reasoning as a precise, powerful language.
PATH·03
Algebra
Structure is the shortcut.
Functions, polynomials, quadratics, systems, and sequences — where recognizing structure replaces brute force.
PATH·04
Geometry
See the invisible line.
From angle chasing to power of a point — training the eye to see the auxiliary line, the hidden similar triangle, the circle nobody drew.
PATH·05
Counting & Probability
Count what you cannot list.
From the product rule to expected value — combinatorial reasoning, the most learnable superpower in competition math.
PATH·06
Number Theory
The integers keep secrets.
Divisibility, congruences, and Diophantine equations — the oldest playground in mathematics and the sharpest section of every contest.
PATH·07
Olympiad Topics
Where technique ends, thought begins.
Invariants, extremal arguments, functional equations, graph theory — the proof-based ideas that separate qualifiers from medalists.