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Mathematics · 140–209 · 31 concepts

High School Mathematics

Reasoning-first High School mathematics: 31 concepts, each with a clear explanation, a fully worked example, and self-check questions.

Practice at this level — free

Number & quantity

Quantities & units The real & complex number systems Vectors (intro)Matrices (intro)

Algebra

Polynomial arithmetic Factoring & polynomial identities Quadratic functions & equations Rational expressions & equations Radical expressions & equations Systems of equations & inequalities

Functions

Exponential functions Logarithms & logarithmic functions Sequences & series Function notation & transformations Inverse functions

Trigonometry

Right-triangle trigonometry The unit circle & trigonometric functions Trigonometric identities & equations Graphs of trigonometric functions

Geometry

Congruence & geometric proof Similarity & transformations Circles & their properties Conic sections Coordinate (analytic) geometry Three-dimensional geometry & measurement

Statistics & probability

Probability rules & combinatorics Conditional probability Sampling & experimental design Descriptive statistics & distributions Inference & regression (intro)

Calculus readiness

Limits (intro to calculus)