  ### COURSE DESCRIPTIONS

#### 141 ALGEBRA I HONORS     1.0 credit

The study of equations and graphs is a focal point of this course for students with a strong mathematics background and high ability. Ideally, a student will understand and be able to solve problems in factoring, equation solving, the quadratic formula and graphing of equations and inequalities, systems of equations, exponents, quadratic equations, factoring, radicals and functions. Students will be able to solve problems in linear and quadratic equations as well as systems of equations in two and three variables. The study of applications and problem solving will also be stressed.

#### 142 ALGEBRA IA     1.0 credit

This course, along with course 243 Algebra IB (taken in sophomore year) is designed for students with more individualized needs in math. It will take the standard Algebra I curriculum and cover it in two years instead of one. Ideally, a student will understand and use variables and variable expressions, and solving, graphing and writing linear equations.

#### 144 ALGEBRA I      1.0 credit

This course gives a good background for students who intend to take a standard three or four-year mathematics program. Standard algebraic skills and concepts are taught. Ideally, a student will understand and be able to solve problems in factoring, equation solving, the quadratic formula and graphing of equations and inequalities, systems of equations, exponents, quadratic equations, factoring, radicals and functions.

#### 145 ALGEBRA II HONORS     1.0 credit

Prerequisites: 80% in Algebra I Honors (or 90% in Algebra I)

In this course, students with a strong Algebra I background will continue the study of algebraic structure. Functions and relations will be covered. Ideally, the student will understand and be able to do equation solving: linear – one and two variable, quadratic, exponential and logarithmic; sequences; series; matrices; determinants and probability and basic statistics. Taken as a freshman, this course will lead to the study of Calculus as a senior.

#### 243 ALGEBRA IB      1.0 credit

Prerequisite: Successful completion of Algebra IA

This course, along with course 142 Algebra IA (taken during freshman year) is designed for students with more individualized needs in math. It will take the standard Algebra I curriculum and cover it in two years instead of one. Ideally, the student will understand and be able to solve systems of equations, exponents, quadratic equations, factoring, radicals and functions.

#### 244 ALGEBRA II      1.0 credit

Prerequisite: Successful completion of Algebra I

In this course, algebraic structure is stressed. Ideally, the student will understand and be able to solve problems dealing with functions and relations including linear (one and two variable), quadratic, exponential and logarithmic. The student will also be exposed to the following topics: sequences, series, matrices, determinants and probability.

#### 245 GEOMETRY with TRIGONOMETRY HONORS     1.0 credit

Prerequisites: 80% in Algebra II Honors (or 90% in Algebra II)

This course introduces the student to geometric terms, theorems, logic, formal and informal proofs. Ideally, a student will understand and be able to work with congruent triangles, parallelograms, circles and polygons. He will receive periodic reviews of algebra during this course of study. The student will receive an introduction to trigonometric and circular functions including the Law of Sines, Law of Cosines, trigonometric identities, trigonometric graphs, trigonometric inverses  solutions of triangles, and the unit circle. This course is designed for the student who has a strong mathematics background.

#### 340 AP STATISTICS     1.0 credit

Prerequisites: 80% in Algebra II Honors

This course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course:  exploring data, sampling and experimentation, anticipating patterns, and statistical inference.

A fee is charged for the AP exam.

#### 341 PRE-CALCULUS HONORS     1.0 credit

Prerequisites: 80% in Algebra II Honors (or 90% in Algebra II) AND 80% Geometry with Trigonometry Honors (or 90% Geometry with Trigonometry)

This course is intended to prepare students with strong math skills for Calculus in their senior year of high school or first year of college. The major areas of study will be polynomial, rational, exponential, logarithmic, and trigonometric functions, sequences and series, analytic trigonometry, parametric and polar equations, limits, the concept of a derivative, and calculation of basic derivatives. Students will understand and solve problems from multiple perspectives using  algebraic representations, graphs, and numerical methods. They will also develop their ability to exploit the utility of a graphing calculator in the solution of problems.

#### 342 ALGEBRA 2     1.0 credit

Prerequisites: Successful completion of Geometry

This course is designed for students with more individualized needs in mathematics. It will take the standard Algebra II curriculum and present the major topics. In this course, algebraic structure is stressed. Ideally, the student will understand and be able to solve problems dealing with functions and relations including linear (one and two variable), quadratic, exponential and logarithmic.

#### 343 GEOMETRY      1.0 credit

Prerequisites: Successful completion of Algebra IB

This course introduces the student to geometric terms, theorems, logic, formal and informal proofs. Ideally, a student will understand and be able to work with congruent triangles, parallelograms, circles and polygons and complete periodic reviews of Algebra. Students will receive an exposure to right triangle trigonometry. This course is designed for the student who has more individualized needs.

#### 344 GEOMETRY with TRIGONOMETRY     1.0 credit

Prerequisite: Successful completion of Algebra II

This course introduces the student to geometric terms, theorems, logic, formal and informal proofs. Ideally, a student will understand and be able to work with congruent triangles, parallelograms, circles and polygons and complete periodic reviews of Algebra. The student will receive an introduction to trigonometric and circular functions including the Law of Sines, the Law of Cosines, trigonometric identities, graphs, inverses, solutions of triangles, and the unit circle.

#### 441 AP CALCULUS  — AB      1.0 credit

Prerequisite: 80% in Pre-Calculus Honors

This course covers all of the topics set forth by the College Board Advanced Placement Program in Calculus AB. Ideally, the student will understand and be able to work with the concepts of functions, graphs, and limits, along with their derivatives and applications of the derivative. Integral calculus and its applications will also be studied. This course is fast paced and designed for highly motivated and talented students.

A fee is charged for the AP exam.

#### 442 Calculus     1.0  Credit

Prerequisites:  Pre-Calculus

This course is designed to give students an overview of Calculus topics such as limits and continuity, derivatives, anti-derivatives, integrals and differential equations. While this course covers many of the same concepts found in Advanced Placement Calculus, it is not bound by the pace and rigor necessary for success on the AP Calculus exam.  Course Topics will include: Functions, Limits, Continuity, Derivatives, Applications of Derivatives, Integration, Applications of Definite Integrals, and Integration Techniques.

#### 444 PRE-CALCULUS     1.0 credit

Prerequisite: Successful completion of Algebra II and Geometry with Trigonometry

This course is designed to be a strong fourth year math course with emphasis on applications and analysis of a variety of mathematical concepts. Ideally, a student will understand and be able to solve problems in major areas of study. These areas are: functions, vectors and trigonometry, inequalities, exponents and logarithms, analytic geometry. The student will also have knowledge of polar coordinates, parametric equations, and matrices. Admission to this course is ordinarily limited to seniors.

#### 445 Probability/Statistics & College Algebra with Trigonometry     1.0 credit

Prerequisite: Successful completion of Algebra 2

This course is designed for students who plan to enter fields such as economics, business, education, biology, medicine, and many others.  Ideally, a student will understand and be able to work with the concepts of random variables, probability functions, and binomial and normal distributions. College Algebra with Trigonometry is an effective mathematical tool to prepare a student for college algebra or precalculus. Ideally, a student will understand and be able to work with the concepts of linear, quadratic, exponential, logarithmic, and systems of functions, as well as their graphs, solutions and applications. The student will receive an introduction to trigonometric and circular functions including the Laws of Sines and Cosines, trigonometric identities, graphs, inverses, and the Unit Circle.

449 AP CALCULUS — BC     1.0 credit

Prerequisites: 90% in Pre-Calculus Honors with recommendation

This course is a first and second course of study in elementary calculus. Students will prepare for the Advanced Placement Calculus BC exam which could lead to an additional semester of college math credit beyond the Advanced Placement Calculus AB credit. In addition to the AB topics, students will study vector and parametric functions, their derivatives and applications, polar curves, additional methods of integration, sequence and series and convergence.

A fee is charged for the AP exam.

### FLOWCHART ### MATHEMATICS DEPARTMENT DIRECTORY

Steve Naumann, Chair- Ex. 2249
Kyle Galli ’10 – Ex. 2247
Joe Kalczynski ’96 – Ex. 2292
Christina Deeb – Ex. 2244
Tom Huber – Ex. 2242
Carolyn Popp – Ex. 2245
Kevin Krysiak – Ex. 2246 