por volta do pré-escolar (parte A) → Avançado · Nível 4
Escolhe um curso organizado em torno de temas habitualmente ensinados numa idade ou num nível de aprendizagem aproximados. Não é uma colocação escolar nem uma equivalência; começa onde te sentires confortável e escolhe outro curso a qualquer momento.
Cada nível assenta no anterior. Começa onde te sentires confortável.
Temas habitualmente ensinados por volta do 8.º ano · Ages 13–14 · about 18.5 hours
Irrational numbers, exponent rules and scientific notation, slope and linear equations and systems, functions, transformations and similarity, angle facts, the Pythagorean theorem, volumes of curved solids, and bivariate data.
Take first: Mathematics level 7
Algebra I · Ages 14–18 · about 6 hours
Quantities and structure, exponent rules and polynomials, linear equations with justification, formulas, systems and inequalities, functions and their features, sequences and transformations, linear and exponential models, quadratics and parabolas, and statistics with lines of fit and correlation.
Take first: Mathematics level 8
Geometry · Ages 14–18 · about 5.5 hours
Rigid motions and congruence, proofs about triangles, similarity and right-triangle trigonometry, circle theorems and arcs, coordinate geometry with circles and parabolas, volume and modelling, constructions, and conditional probability.
Take first: Algebra I
Algebra II · Ages 14–18 · about 6.5 hours
Polynomials and the remainder theorem, rational and radical equations, complex numbers, exponential models and logarithms, trigonometric functions on the unit circle, inverse and composite and piecewise functions, geometric series, the normal distribution and inference.
Take first: Geometry
Precalculus · Ages 14–18 · about 5 hours
Rational functions and transformations, logarithms and exponential models, trigonometric identities and inverse functions, the laws of sines and cosines, polar and parametric forms, vectors and matrices, conic sections, sequences and the binomial theorem, induction, limits, and the complex plane.
Take first: Algebra II
Statistics · Ages 14–18 · about 4 hours
Describing distributions, study design, probability rules and random variables, binomial and geometric models, sampling distributions, confidence intervals, hypothesis tests, chi-square, and regression inference.
Take first: Algebra II
Calculus AB · Ages 14–18 · about 3.5 hours
Limits and continuity, the derivative and its rules, the chain rule and implicit differentiation, applications to rates and extrema, Riemann sums and the fundamental theorem, antiderivatives and substitution, area and volume, separable differential equations, and motion on a line.
Take first: Precalculus
Calculus BC · Ages 14–18 · about 9.5 hours
Integration by parts and partial fractions; improper integrals at an infinite limit and at a singular endpoint; parametric and polar curves with their slopes, lengths and areas; the convergence tests and the hypotheses each one needs; power and Taylor series with the radius and the interval they converge on; the alternating and Lagrange error bounds; and Euler's method with the logistic model.
Take first: Calculus AB