Algebra I requires facility with signed numbers, fractions decimals and percentages. Topics in Algebra I include properties of the real number system, solving one-variable linear equations and inequalities, solving one-variable quadratic equations, applying properties of exponents, solving one-variable absolute value equations, graphing linear equations in two variables and simplifying radical expressions. The successful student in this course is willing to practice each concept thoroughly and understands that the concepts in this course are the foundation of high school and college mathematics.
Geometry covers the investigation of two-dimensional geometric figures (triangles, polygons circles, etc.) leading the student to study mathematical properties of three-dimensional objects such as cones, cylinders and prisms. This course includes a thorough study of plane geometry, including its formation, language and applications. Coordinate geometry and triangle trigonometry will also be covered. The logical development of the mathematical thought process will be studied and applied through reading and writing mathematical proofs. Since facility with signed numbers, fractions, decimals and percents is fundamental to success in high school mathematics classes, students are regularly assessed on these skills as well as on the course material.
Algebra II covers the introduction and in-depth study of functions and relations; graphing linear, quadratic, exponential and logarithmic functions; and solving systems of equations using matrices. Proficiency in solving word problems is also stressed. Since facility with signed numbers, fractions, decimals and percents is fundamental to success in high school mathematics classes, students are regularly assessed on these skills as well as on the course material.
College Algebra and Trigonometry
College Algebra and Trigonometry is an intensive course designed for students who completed Geometry (Honors) with a B average or better and intend to take Calculus while in high school. College Algebra and Trig is a combined Algebra II and precalculus course. Topics include algebraic and graphical analysis of complex numbers, quadratic, polynomial, rational and radical functions; analytic geometry and conic sections; exponential and logarithmic functions; trigonometry; and sequences and series.
AP Calculus AB
AP Calculus AB is a course in single variable calculus that includes techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to at least a semester of calculus at most colleges and universities, and to perhaps a year of calculus at some. Algebraic, numerical and graphical representations are emphasized throughout the course. It is assumed that students will have access to graphing calculators in class and for homework. Graphing calculators are required on portions of the year-end exam. Students must have a willingness to collaborate with classmates to foster mutual understanding and a sincere desire to do well on the AP examination. Students may take this course without the AP option.
AP Calculus BC
The material covered in AP Calculus BC is equivalent to that of Calculus I and Calculus II at a university. In addition to all of the material covered in the AP Calculus AB course, this course includes differentiation of polar, parametric and vector-valued functions as well as some advanced integration techniques including integration by parts and partial fractions. Beyond these add-ons to AB topics, a great deal of time is spent on sequences and series, a major component of BC Calculus. Because of the accelerated pace and rigor of this class, students who enroll in this course must be willing to spend extra time in study, participate in study groups and/or to schedule meeting times with the instructor in order to meet the challenges this course affords.