Mathematics

The department stresses college-preparatory mathematics with emphasis on problem-solving skills using current technology as well as the theory underlying these skills.

Algebra I
In this course, emphasis is placed on problem-solving through the use of variables. Topics include polynomials, rational functions, solving equations and inequalities, factoring and graphing linear functions.

Geometry
Prerequisite: Algebra I
This course is designed to encourage students to think logically using deductive reasoning. Topics included are: formal proofs, congruence relationships, perpendicularity, parallelism, similarity, Pythagorean Theorem, circles, area, volumes and polygons. The advanced level of this course covers topics in more depth with student discovery emphasized, using Geometric Sketchpad.

Algebra II
Prerequisite: Algebra I
In this course students will obtain a more sophisticated understanding of the real and complex number systems. Topics covered in Algebra I will be reviewed and expanded. New topics introduced include matrices, quadratic functions and their graphs, complex numbers, exponential and logarithmic functions and analytic geometry. The advanced level of this course covers topics in more depth, with student discovery emphasized.

Introduction to College Math
Prerequisite: Algebra II
Introduction to College Math is intended primarily for the student who does not intend to pursue a math-related field of study in college, but will need to fulfill various college requirements in mathematics. Topics include: concepts from advanced algebra and geometry, business math, and personal finance.

Statistics
Prerequisite: Algebra II
The material covered in this course is comparable to an introductory college statistics course. Students will analyze data by means of statistical methods. This course will also include a brief treatment of probability.

A.P. Statistics
The A.P. Statistics course studies the collection and description of data, including experimental design. The collection and description of data is followed by the methods of statistical inference. Next, a study of probability provides a theoretical base for statistical inference. At the end of the course, students will have the opportunity to take the national A.P. Statistics exam. By receiving a satisfactory score on the A.P. exam, students may receive college credit for the course.

Trigonometry/Pre-Calculus
Prerequisite: Algebra II & Geometry
Trigonometry/Pre-Calculus is intended for those students who may take calculus at either the high school or college level. One semester is an in-depth study of trigonometry, dealing with sine, cosine and tangent as both circular and trigonometric functions. The second semester is a more detailed study of relations and functions as well as other related topics. The advanced level of this course covers topics in more depth with student discovery emphasized.

Calculus
Prerequisite: Algebra II/Trig/Pre-Calc.
This course will review and expand various topics from Pre-Calculus, as well as introduce differential and integral calculus. The emphasis will be on applications of the Calculus and basic problem solving techniques involving differentiation and integration.

A.P. Calculus
Prerequisite: Algebra II/Trig/Pre-Calc.
A.P. Calculus is a challenging college-
level mathematics course. The concepts of limits and continuity will be reviewed and expanded. Differential and integral calculus will be introduced and thoroughly covered. Applications of the derivative and integral in the physical world, as well as business and economic applications, will be studied. The student has the opportunity to receive college credit for this course by taking the A.P. test administered at the close of the school year.