The Epiphany School

Upper School

Mathematics Course of Study

Algebra I

This course covers the full scope of an introductory Algebra I curriculum. The terminology of algebra, solving equations and inequalities, solving systems of equations and inequalities, polynomial operations, factoring, applications of factoring, an introduction to functions, graphing in the coordinate plane, an introduction to irrational numbers, solving quadratic equations, and work with rational expressions will be covered during the year. Calculators will become tools in problem situations where basic computations can be better facilitated by their use and when their use serves to supplement and enhance concepts being studied.

Geometry (Honors)

Geometry moves from inductive to deductive reasoning to produce logical proofs. A basic understanding of undefined terms, properties, postulates, and theorems is developed and applied to two and three dimensional figures. Algebraic skills involving lines, graphs, equations, formulas, radicals, and trigonometry are reinforced. Hands-on explorations, constructions, and activities enhance the visual and spatial nature of the course while connecting the intrinsic concepts of Euclidean Geometry. Technology is employed when applicable. Prerequisite: Algebra I

Algebra 2 (Honors)

This course emphasizes facility with algebraic expressions and forms, especially linear and quadratic forms, powers, roots, and functions based on these concepts. Students study logarithmic, trigonometric, polynomial, and other special functions as tools for modeling real-world situations. The course applies geometrical ideas learned in the previous years, including transformations and measurement formulas. A TI-89 calculator will be an important tool for this course. Pre-requisite: Geometry




Pre-Calculus

This course blends the concepts and skills that must be mastered before enrollment in a college-level calculus course. The course includes the study of relations and functions, exponential functions, logarithmic functions, trigonometric functions, trigonometric identities, and the introduction to limits and derivatives. Pre-requisite: Algebra II

Trigonometry & Probability

Trigonometry and Probability introduces, covers, and teaches students both trigonometry and probability. The trigonometry portion will cover the unit circle, trigonometric functions, trigonometry of right triangles, law of sines, law of cosines, trigonometric identities, polar coordinates and graphs and vectors. The statistics portion will cover exploring and understanding data, variables, collecting data and probability.

Advanced Placement Calculus AB

Calculus AB is an Advanced Placement Calculus course, which follows the syllabus and guidelines of the Advanced Placement program. The course is the equivalent of first semester college calculus. Emphasis is on the basic concepts of differential and integral calculus, as well as problem-solving techniques. The second semester final exam in the course is the AP exam. Those students with high scores on the AP Calculus AB exam can earn credit for one semester of college calculus. Students are expected to do work at a college level. Pre-requisite: Pre-Calculus