Mathematics

The ability to use and understand mathematics in our world is critical. Whether you are interested in finance, science, computers or even the arts, math is a necessary and invaluable tool. Prep requires all students to complete four years of mathematics during their time on campus. Our classes are offered at varying ability levels, allowing you to explore, discuss, learn and retain concepts at a pace that is appropriate for you. Our four year math curriculum provides a thorough background in Algebra, Geometry and Trigonometry, and prepares you to continue your study of mathematics beyond the high school level. Our classes in Calculus and Statistics provide you to study advanced and applicable concepts at an advanced level. Our teachers stress the importance of exploring topics graphically and using critical thinking and analysis to provide confirmation of new concepts or theorems. We use iPad apps and the TI-84 graphing calculator to provide a variety of ways to learn and practice concepts. We value solutions that are detailed and well organized as this will provide you with an approach that will provide future success in math. We structure our classes so that you are engaged in asking or answering questions; completing problems individually or in small groups.

Our teachers expect you to come to class ready to work each day and to alert them to any difficulties that you may be experiencing trying to learn and do your best. We are always willing to answer questions and to provide you with extra help so that you can reach, and eventualy exceed your expectations.

The Math Department sponsors three extra-curricular activities - Stock Market Club, Trig Star Club and Math Team. The Stock Market Club takes an annual trip to the floor of the New York Stock Exchange. Our Math Team has advanced to regional and state competitions as a result of their success in the Fairfield County Math League. Our Trig Star Club has won the State Championship for the last six years and compete on a national level each year.

The Math Department at Prep gives students a strong foundation to succeed in the math classroom, but also develops critical thinking and reasoning skills that students will use in their lives. Come check us out.

- Ms. Maureen Bohan
Department Chair, Mathematics

Four years of math is required for each student.

Mathematics Courses

Algebra I Level 3

Students learn how to solve problems using variables, work with exponents, factor polynomials and simplify rational and irrational expressions. Students solve linear equations and inequalities as well as radical and quadratic equations. Students learn to graph various types of functions and how to solve word problems using algebra. The Level 3 course provides students with the opportunity to spend more time studying fundamental concepts to ensure success in future math courses.

Algebra I Level 2

Students learn how to solve problems using variables, work with exponents, factor polynomials and simplify rational and irrational expressions. Students solve linear equations and inequalities as well as radical and quadratic equations. Students learn to graph various types of functions and how to solve word problems using algebra.

Honors Algebra I

Students learn how to solve problems using variables, work with exponents, factor polynomials and simplify rational and irrational expressions. Students solve linear equations and inequalities as well as radical and quadratic equations. Students learn to graph various types of functions and how to solve word problems using algebra. The Honors level course will challenge students with its accelerated pace, in depth study of important concepts, and application to real world situations.

Geometry Level 3

Students study spatial relationships in two and three dimensions and inductive and deductive reasoning. They study theorems involving parallel lines, congruent triangles, similar triangles, and circles. Students learn right triangle trigonometry and area and volume formulas. The Level 3 course provides students with the opportunity to spend more time studying fundamental concepts to ensure success in future math courses.

Geometry Level 2

Students study spatial relationships in two and three dimensions and inductive and deductive reasoning. They study theorems involving parallel lines, congruent triangles, similar triangles, and circles. Students learn right triangle trigonometry and area and volume formulas.

Honors Geometry

Students study spatial relationships in two and three dimensions and inductive and deductive reasoning. They study theorems involving parallel lines, congruent triangles, similar triangles, and circles. Students learn right triangle trigonometry and area and volume formulas. The Honors level course will challenge students with its accelerated pace, in depth study of important concepts, and application to real world situations.

Algebra II Level 3

Students develop the skills to work in the real and complex number systems. Students study rational and irrational numbers and problem solving with them. Students review linear functions and begin a study of quadratic, exponential and logarithms functions. Students also study conic sections as well as permutations and combinations. The Level 3 course provides students with the opportunity to spend more time studying fundamental concepts to ensure success in future math courses.

Algebra II Level 2

Students develop the skills to work in the real and complex number systems. Students study rational and irrational numbers and problem solving with them. Students review linear functions and begin a study of quadratic, exponential and logarithms functions. Students also study conic sections as well as permutations and combinations.

Honors Algebra II

Students develop the skills to work in the real and complex number systems. Students study rational and irrational numbers and problem solving with them. Students review linear functions and begin a study of quadratic, exponential and logarithms functions. Students also study conic sections as well as permutations and combinations as well as beginning a study of trigonometric functions. The Honors level course will challenge students with its accelerated pace, in depth study of important concepts, and application to real world situations.

Introductory Pre-Calculus With Trigonometry

This course includes the study of many topics found in Pre-Calculus and also addresses topics commonly found in required college courses for non-math majors. The pace of this course will allow for review of key algebra and geometry concepts that are needed for success in this course and beyond. Topics will include linear, polynomial, exponential and logarithmic functions as well as major areas of trigonometry including the unit circle, Law of Sines, Law of Cosines and basic identities. Applications to these topics will also be included.

Pre-Calculus

Pre-Calculus is designed to prepare students for a course in Calculus. One third of the course is spent studying trigonometry. In addition students continue their study of polynomial, rational, exponential, and logarithmic functions. Students also study basic sequences and series, probability and introductory topics in calculus.

Honors Pre-Calculus

Pre-Calculus is designed to prepare students for a course in Calculus. One third of the course is spent studying trigonometry. In addition students continue their study of polynomial, rational, exponential, and logarithmic functions. Students also study basic sequences and series, probability and introductory topics in calculus. The Honors level course will challenge students with its accelerated pace, in depth study of important concepts, and application to real world situations.

Honors Pre-Calculus with Introductory Calculus

Students will cover all topics covered in the Pre-Calculus curriculum, including polynomial, rational, exponential and logarithmic functions, and an extensive study of trigonometry. In addition students will study limits, rates of change, and derivative rules. Students who successfully complete this course can enroll in AP Calculus AB or BC in their senior year. Students will be expected to complete independent assignments throughout the year.

(Open to students who have completed Algebra II Honors and with the approval of Mathematics Department Chairperson)

Calculus

Calculus is open to students who have completed Pre-Calculus. It begins with a brief review of trigonometric functions, natural logs and exponential functions. The course includes a study of limits, rates of change, derivatives and introduction to integrals and selected applications. All topics will be investigated numerically, algebraically and graphically.

AP Calculus AB

AP Calculus AB is open to students who have completed Pre-Calculus or Pre-Calculus Honors. AP Calculus AB covers all topics outlined in the syllabus written by College Board. Students study limits, rate of change, derivatives and their applications, and integrals and their applications. These topics are investigated numerically, algebraically and graphically. Any junior enrolled in AP Calculus AB must take the AP exam to receive the AP designation on his transcript and to have his grade weighted on the honors scale. Students will be prepared to take the AP Calculus AB exam in May.

AP Calculus BC

This course is offered at the AP level and is open to students who have completed AP Calculus AB. AP Calculus BC covers all topics outlined in the syllabus written by the College Board. Students will study all topics from AP Calculus AB. Additionally, students will study parametric, polar and vector function; L’Hop’s Rule; Euler’s method; applications of integrals; antiderivatives by substitution and parts; improper integrals; Polynomial approximations and series. These topics are investigated numerically, algebraically and graphically. Any junior enrolled in AP Calculus BC must take the AP exam to receive the AP designation on his transcript and to have his grade weighted on the honors scale. Students will be prepared to take the AP Calculus BC exam in May.

(Prerequisite: Calculus or AP Calculus AB)

Statistics

In this elective course, students will study the major concepts and tools relating to collecting, analyzing, and drawing conclusions from data. Students will be exposed to themes including exploring data, sampling and experimentation, anticipating patterns and statistical inference. The use of a TI-83/84 calculator is integral for this course.

(Open to seniors with the approval of Mathematics Department Chairperson)

AP Statistics

AP Statistics covers all topics outlined in the syllabus written by the College Board. Students will study the major concepts and tools relating to collecting, analyzing, and drawing conclusions from data. Students will be exposed to themes including exploring data, sampling and experimentation, anticipating patterns and statistical inference. The use of a TI-83/84 calculator is integral for this course. Students will be prepared to take the AP Statistics exam in May.

(Open to seniors with the approval of Mathematics Department Chairperson)

Our Math Faculty

Mrs. Amy Ardito

Mrs. Amy Ardito

Titles: Teacher
Departments: Mathematics
Ms. Maureen Bohan

Ms. Maureen Bohan

Titles: Department Chair, Teacher
Departments: Mathematics
Mrs. Katherine Brennan

Mrs. Katherine Brennan

Titles: Teacher
Departments: Mathematics
Mr. Brian Chap

Mr. Brian Chap

Titles: Teacher
Departments: Mathematics
Mr. John Meyers

Mr. John Meyers

Titles: Teacher
Departments: Mathematics
Mrs. Maura O'Connor

Mrs. Maura O'Connor

Titles: Teacher
Departments: Mathematics
Ms. Tracey Owens

Ms. Tracey Owens

Titles: Teacher
Departments: Mathematics
Mr. Jamie Whiteman

Mr. Jamie Whiteman

Titles: Teacher
Departments: Mathematics