The mathematics curriculum aims to meet a wide range of student needs. Each successive course builds on the previous one. Students meet challenges at levels appropriate to their age and ability to learn. The training received through mathematics courses provides for growth in independent thinking, logical reasoning and decision making for success in problem solving.
Algebra I—Grade 9
Algebra I reviews the concept of variables and emphasizes operations on variables. Students devote a major portion of the course to the solution of various types of linear equations and to the translation of verbal sentences into mathematical equations. Students learn graphing, quadratic equations, probability, linear systems, factoring, exponents, radicals and rational expressions. The emphasis is on a problem-solving approach. Students must purchase a TI-83 Plus graphing calculator.
Geometry—Grades 9 and 10
Euclidean geometry is the basis for this course. The course begins with points, lines, planes, and space, the building blocks of geometry. Students analyze congruency of triangles, polygons, the Pythagorean Theorem, similar polygons, circles, areas, parallel lines, volumes, and coordinate geometry. Formal proofs are an emphasis throughout the year. Computer software complements selected topics.
Geometry Honors—Grade 9
Geometry Honors is a comprehensive geometry course with a more rigorous and in-depth approach to topics covered in Geometry (see Geometry 9 & 10) with stress on formal proof. The course also includes coordinate geometry. Computer software complements selected topics.
Algebra II—Grades 10 and 11
Algebra II is a natural extension of Algebra I and builds on the algebraic foundation developed there. This course includes a more in-depth study of quadratics and operations of radicals. The emphasis is on learning skills that enable students to solve word problems. Students learn about graphing, complex numbers, conics, exponential and logarithmic functions, matrices, sequences and series and rational expressions.
Algebra II and Trigonometry Honors—Grade 10
Algebra II and Trigonometry Honors is a comprehensive second-year Algebra course with a more rigorous approach to topics covered in Algebra II (see above). Additionally, course work includes trigonometry and discrete math topics. Students must have graphing calculators.
Pre-Calculus—Grades 11 and 12
This course begins with an extensive study of functions. Students explore the transformation of the graphs of functions and examine in detail polynomial functions of higher degree with their graphs. An intensive study of trigonometry follows, which includes such topics as equations, law of sines, law of cosines, solutions of oblique triangles, double and half-angle formula, identities, sequences, and series.
Pre-Calculus Honors—Grade 11
This course prepares students who will continue on to AP Calculus or Calculus Honors. Upon completion of this course, students may take the SAT II. Key topics covered are functions (including their properties, graphs, inverses, and applications), inequalities, analytical geometry, trigonometry and its applications, and graphs of rational functions, sequences, and series. An introduction to limits completes this course. A graphing calculator is required.
Calculus Honors—Grade 12
This course covers the basic concepts of differential and integral calculus, together with some applications. The course begins with a brief review of analytic geometry, functions and their properties and trigonometry. It continues with the concepts of limits and continuity leading into derivatives and integrals. Students can expect to spend an average of 30-45 minutes daily preparing for class through homework and review. Students must have a graphing calculator.
AP Calculus AB—Grade 12
This course is equivalent to a one-semester college calculus course. Students who enter this course must possess a solid understanding of all Algebra I, geometry, Algebra II, and trigonometry topics. The course begins with a summer packet which reviews various concepts from theses prior courses. The study of limits and continuity from both a graphic and algebraic vantage point follows. An in-depth analysis of differential and integral calculus techniques with an emphasis on interpretation and applications completes this course. Students must take the Advanced Placement Exam in early May and should expect to spend an average of one hour daily preparing for class through homework and review. Students must have graphing calculators.
AP Calculus BC—Grade 12
This course is equivalent to one full year of college calculus. Students who enter this course must possess a strong background and understanding of all of the concepts covered in Algebra I, Geometry Honors, Algebra II and Trigonometry Honors, and Honors Pre-Calculus as well as good mathematical insight. The course begins with a summer packet which not only reviews many of the topics from these prior courses, but will also require the student to read new material and answer appropriate questions. The school year starts with an in-depth study of limits and continuity and then proceeds directly to differential calculus. Topics are analyzed in both an algebraic and graphical approach. Concepts in integral calculus, including those dealing with polar coordinates, parametric equations and series and sequences, will round out the year. In all areas of study, the emphasis is on interpretation and applications of the concepts. Students must take the Advanced Placement Exam in early May and should expect to spend an average of at least one hour daily preparing for each class through homework and review. Students must have and know how to use graphing calculators.
Math Electives—Grades 11 and 12
Probability and Statistics
A practical introduction to statistical methods and the examination of data sets. Topics include descriptive statistics, elements of probability theory, commonly occurring distributions (binomial, normal, etc.), hypothesis tests, confidence intervals, correlation, regression, and analysis of variance. Computer software will play a central role in analyzing a variety of real data sets collected during the course.
Engineering Science Honors
The Engineering Science course combines math, science (mostly physics), and technology into a hands-on lab-based curriculum. The goal of this digital engineering course is to “fuel a love for engineering and technology.” It emphasizes problem solving and independent exploration through topics such as: music, the Internet, encryption, compression, digital imaging, and video. All labs are implemented with LabVIEW software from National Instruments. Examples of some of the labs are: a motion detector, a voice recognition system, “blue screen” video, and a digital imaging morphing system. This course would suit students who are interested in pursuing science or math, and is an alternative to biological-based science courses.