Mathematics

Students explore the many faces of chance: fate, destiny, randomness, risk. Introduction to the fundamentals of probability theory: definitions, the Law of Large Numbers, expected value, applications. Students work with frequency distributions and box-plots, and utilize different measures of central tendency: the mean, median, and mode.

Block begins with determining when two polygons are similar. Once introduced, the sine, cosine, and tangent functions are used in calculations involving right triangles and eventually in deriving the Law of Sines and the Law of Cosines for (not necessarily right) triangles.

Block formalizes one of the central principles of perspective art: parallel lines meet at infinity. This block includes elements at infinity, the principle of duality, perspectivities and projectivities, projective generation of point and line conics, cross‐ratio and invariance, and, more specifically, study of the theorems of Desargues, Pascal, Brianchon, and Pappus.

Block introduces the historical and mathematical development of calculus and includes elementary aspects of both differential and integral calculus.

Linear equations and inequalities of two variables; systems of linear equations; exponents and polynomials; factoring polynomials; rational expressions; roots and radicals; and quadratic equations and functions.

Plane and solid Euclidian geometry from both inductive and deductive approach. Geometrical problem solving: classical theorems on lines, angels, polygons, and circles are proved.

Accelerated course that is more proof-based than standard geometry. Plane and solid geometry to coordinate plane and analytic geometry. Understanding of geometric proofs; study of conic sections.

Concepts and techniques of advanced algebra: linear equations; graphing and functions; polynomial and rational equations; exponents, radicals; complex numbers; conic sections.

Concepts and techniques of advanced algebra with emphasis on problem solving and mathematical modelings. Topics includes: matrices and determinants; complex numbers; the investigation of functions (linear, quadratic, and polynomial); transformations of functions; polynomials and rational functions and their graphs; real zeros of polynomials; complex zeros and the Fundamental Theorem of Algebra; exponential and logarithmic functions; and sequences and series.

Investigations encompass circular motions and the functions that describe it; vectors; dot products; matrices; and geometry on the surface of the Earth. Geometry and in two and three dimensions is integrated across topics and includes coordinate and transformational approaches. Counting, data analysis are included through the curriculum.

Practical and analytic trigonometry, later applied to the polar coordinate system, complex numbers, and vectors. studies of matrices, inverse functions, and sequences and series.

Prepares students for the SAT Subject Test in Mathematics - Level II.

Basics topics of differential and integral calculus, including functions, limits, and the derivative and applications of differentiation, curve sketching, the integral, and applications such as rectilinear motion and volumes. Prepares students to sit for the AP exam.