Algebra 1 Honors

Topics covered include

exponents, order of operations, single-variable equations, system of equations, inequalities, absolute value equations and inequalities, graphing linear equations, factoring and multiplying binomial expressions, introductory combinatorics, binomial theorem, quadratic equations, complex numbers, and polynomial operations.

Geometry Honors

Topics covered include

the language of geometry (points, lines, planes and angles), reasoning and proofs (paragraph, two column, flow, indirect, and coordinate), parallel and perpendicular lines, congruent triangles, applications of congruent triangles, quadrilaterals, similarity, right triangles and trigonometry, circles, polygons and area, surface area and volume, coordinate geometry, and transformations.

Algebra 2 Honors

Topics covered include

polynomial functions, remainder and factor theorems, rational zero theorem, fundamental theorem of algebra, composite and inverse functions, rational functions, matrices, exponential and logarithmic functions, right triangle trigonometry, unit circle trigonometry, and trigonometric identities.

Precalculus Honors

Topics covered include

polynomial functions, trigonometry, DeMoivre’s Theorem, polar coordinates, parametric equations, conic sections, applications of conic sections, sequences and series, partial fraction decomposition, vectors, matrices, row operations, Gaussian elimination, Gauss-Jordan elimination, proofs by mathematical induction, limits and continuity, definition of derivative, secant lines, and tangent lines.

Advanced Calculus AB

Topics covered include

limits and continuity, definition of derivative, implicit differentiation, related rates, L’Hopital’s rule, concavity, maxima, minima, Rolle’s Theorem, mean value theorem, integration, fundamental theorem of calculus, area and volume between curves, and applications of calculus to physics. Successful completion of this course with a grade of an A- or higher will allow students to receive a score of 4 or 5 on the AP Calculus AB exam.

Advanced Calculus BC

Topics covered include

limits and continuity, definition of derivative, implicit differentiation, related rates, L’Hopital’s rule, concavity, maxima, minima, Rolle’s Theorem, mean value theorem, integration, fundamental theorem of calculus, area and volume between curves, applications of calculus to physics, advanced integration techniques, differential equations, slope fields, infinite series, convergence tests, comparison tests, Maclaurin and Taylor series, parametric curves, and polar curves. Successful completion of this course with a grade of an A- or higher will allow students to receive a score of 4 or 5 on the AP Calculus BC exam.