Mathematics

Chairperson:  Mr. John Tomaszewski

The mathematics department offers courses designed to meet the needs of students with varying abilities and diverse career goals in a society that is becoming increasingly dependent on technology.

All students are required to have a TI 83 or a TI 84 graphing calculator.

Honors courses are designed for the student who has strong mathematical ability and is motivated to maintain high grades while working at an accelerated pace.  High level thinking skills and problem solving are emphasized.  Students may choose an honors level math class if they meet either of the following conditions:

  • Student has earned a grade of 85% or higher in his/her present honors math class.

  • Student has earned a grade of 93% or higher in his/her present non-honors math class, AND the student’s present math teacher recommends the move to the honors program.

Algebra I

Algebra I is the foundation for all future math classes.  The course includes work with variables, signed numbers, solving equations, study of functions, systems of linear equations, ratio and proportion, probability, radicals and exponents, inequalities, data analysis, and factoring. Students will also learn the basic functions of their TI calculator and will analyze problems from both a graphical viewpoint and an algebraic viewpoint.  Homework is an important step in learning to work math problems independently, and it is assigned daily.

Honors Algebra I

Honors Algebra I will cover all topics listed above.  A strong emphasis will be placed on problem solving.  Students will take a more in-depth look at mathematical functions, including exponential, quadratic, and rational functions.  Students enrolled in Honors Algebra I are expected to have the ability to work independently, to have strong mathematical skills, and to have strong interest in mathematics and technology as used in the world around us.

Algebra II

Algebra II continues the study of algebra begun in Algebra I.  More emphasis is placed on working with functions.  Students study linear, quadratic, exponential, logarithmic, and trigonometric functions from graphical and algebraic viewpoints. Data analysis, matrices, systems of equations and complex numbers are also included.  Problem solving continues to be emphasized, and practical applications are presented.

Honors Algebra II

Honors Algebra II will cover all topics listed in the Algebra II course with a stronger emphasis on problem solving and analysis of graphs.  Additional topics include conic sections, probability, and statistics.

Geometry

Students will study Euclidian geometry.  An emphasis is placed on developing geometric concepts and providing logical arguments to prove these concepts.  Students will learn to work with the traditional tools of geometry (compass and straightedge) as well as with the Geometer’s Sketchpad program in the computer lab.  Algebra is integrated into the study of geometry.  Topics of study include parallel and perpendicular lines, triangle relationships, quadrilaterals, area, surface areas and volume, similarity, right triangle trigonometry, circles, and transformations.  Three dimensional figures will be studied informally.

Honors Geometry

Honors Geometry will cover all topics listed in the geometry course, with a strong emphasis on proof and construction.  Students are challenged daily to solve problems involving both algebra and geometry ideas.  Students enrolled in this course will be expected to enjoy problem solving and to have strong mathematical and problem solving skills.

Statistics

This is an elective course for sophomores, juniors, and seniors and the senior course for non AP Calculus students.  It will focus on gathering, describing, and classifying data, graphing, measures of central tendency, standard deviation, probability, probability distribution, hypotheses testing, correlation, and regression.  A graphing calculator is required.

Precalculus

Precalculus continues the study of functions that students began studying in their algebra classes. Trigonometric, exponential, logarithmic, rational, and polynomial functions are studied in depth. Students analyze the graphs of each function, both with and without technology.  Emphasis is placed on domain, range, and intercepts of the functions.  Applications are considered in more depth than in previous courses.  In addition, students study systems of equations and inequalities, matrices, sequences, series, and probability.

Honors Precalculus

Honors Precalculus will cover all topics listed in the precalculus course with a much stronger emphasis on graphing parameters and on problem solving.  Students in Honors Precalculus are preparing to take calculus in the following year.  Additional topics of study for honors students include analytic geometry and limits.

Honors Calculus

This course is designed for math students who have completed Precalculus and would like preparation for college calculus.   It will include a review of functions, an introduction to limits, and a study of continuity, differentiation, derivatives, and integration.  The course will feature mathematical modeling applications in business, economics, and science.

AP Calculus

AP Calculus is the grand finale of the honor student’s study of mathematics in high school.  The AP Calculus student has followed the honors mathematics track for at least two years.  Students will study both Differential and Integral Calculus. 

Any student planning to major in mathematics, science, or business in college should choose AP Calculus. All students enrolled in AP Calculus will take the AP Calculus AB exam in May.  There is an additional fee involved for this exam.  Colleges often give credit to students who are successful on the AP exam.

ACCOUNTING

Accounting is an elective open to sophomores, juniors, and seniors.  Students will learn how to collect business facts and classify and report them in accordance with accounting priciples and procedures.  The accounting course material is divided into three forms of business enterprise: sole proprietorship, partnership, and corporation.

Students will learn the entire accounting cycle from generating source documents to preparing financial documents at the end of each fiscal period.  Throughout the course, students gain valuable experience with automated accounting procedures using various forms of technology.  Students alsso become adept in the preparation of taxes and gain hands on experience if they choose to file their personal income taxes.