Mathematics
The goal of the mathematics program is to provide students with the background and appropriate skills to enable them to expand upon and apply their mathematical knowledge in the future. Emphases are placed upon knowing basic facts, principles, and methods of mathematics; mastering computation skills; making conjectures through logical reasoning; communicating mathematical ideas; and developing a collection of problem-solving methods. The use of a graphing calculator (TI-83 or TI-84 preferred) in Algebra I and beyond is an important part of the curriculum; students learn to make decisions about when a calculator is an appropriate problem-solving aid.
6th Grade Math (Grade 6)
This course includes a thorough study of the following topics: problem-solving, number theory, fractions and their operations, one and two-step algebraic equations, operations with integers, data analysis and statistics, proportions, percent / decimal / fraction relationships, planar and spatial geometry, probability, and an introduction to functions. There is much emphasis on the use of precise language and notation, problem-solving techniques, communication skills, and application to real-world situations. Calculator usage is kept to a minimum to ensure that students maintain their basic arithmetic facts. A student must have a combined two-semester average of 80% or above in order to advance beyond Pre-Algebra.
Algebra I (prerequisite: an 80% or above in Pre-Algebra)
Algebra I is the foundation for all later work in mathematics; mastery of concepts and skills is imperative. The course includes elements of statistics, linear and quadratic equations, systems of linear equations and inequalities, exponential functions and scientific notation. Charts, diagrams, graphs, and TI-83 calculators are used extensively to enhance the level of understanding as well as to provide alternative approaches in problem solving. Rapid generalization and the ability to think in abstract terms are expected. A student must have a combined two-semester average of 80% or above in order to advance beyond Algebra I.
Geometry (prerequisite: an 80% or above in Algebra I)
An understanding of geometry is built through presentation of definitions, postulates, and theorems. Topics covered include basic parts of geometry, congruent and similar polygons (with an emphasis on triangles), a study of triangles and quadrilaterals, parallel lines, measurement (linear, area, and volume), right triangle trigonometry, circles, transformations, and coordinate geometry. Students also learn the fundamentals of formal logic and the techniques of formal proof.
Algebra II (prerequisite: Geometry)
This course continues the development of algebraic skills started in Algebra I. The concept of a function is further explored as students study linear, quadratic, exponential, logarithmic, radical, polynomial, and rational functions. Functions are modeled both algebraically and graphically. Other major topics studied include systems of equations, number systems, sequences and series, conic sections, statistics, and probability. Mastery of algebraic skills is an expectation of students completing Algebra II.
Pre-Calculus (prerequisite: Algebra II)
A rigorous presentation of the advanced mathematics needed for Calculus is offered in this course. A strong emphasis is placed upon the ability to graph different classes of functions. In addition to graphing, properties and applications of each type of function are studied. An in-depth study of trigonometry is an integral part of this course.
AP Calculus AB (prerequisite: Pre-Calculus)
This is a college-level course in calculus, which is both rigorous and intuitive. Analytical, numerical, and graphical problem-solving methods are modeled and mastered throughout the course. Calculus begins with a study of limits, which leads to the definition of the derivative. The concepts of differentiation and integration are the two major topics for the remainder of the class. Theorems and methods of differentiation and integration are formulated and/or proved when possible. Students learn numerous applications related to differentiation and integration. Students are expected to take the Advanced Placement Calculus AB examination. Many colleges grant placement or credit based on the examination results.
Advanced Math Topics (prerequisite: AP Calculus AB)
This upper-level course will provide students with an opportunity to prepare for an additional Advanced Placement exam beyond Calculus AB. The course is designed to prepare students for either the AP Calculus BC exam or the AP Statistics exam.
