Pomperaug Regional
School District 15
286 Whittemore Road,
P.O. Box 395
Middlebury, CT 06762-0395
203-758-8258

Grades 9 - 12 Course Offerings:  Mathematics

Accounting
Students must have earned 1 credit in algebra and 1 credit in geometry in order to receive math credit for accounting.

Algebra I Sequence I
Prerequisite: A good proficiency with arithmetic or passing grade in General Math.
This course is designed to aid students transition from middle school math to algebra. It provides an in-depth presentation of skills, concepts, and problem-solving processes needed to help students become successful in algebra. Topics covered in this course will be the same as the first semester of Algebra I.

Algebra I Sequence II
Prerequisite: Grade of C or better in Algebra I Seq. 1.
Topics covered in this course will be the same as the second semester of Algebra I. Units of study will include analyzing linear functions, systems of equations, inequalities, polynomials, number lines.

Algebra I
Prerequisite: Teacher recommendation and minimum grade of C in 8th grade Pre-Algebra.
The field of real numbers is developed with emphasis on the set of rational numbers. Other topics include linear equations, data analysis, functional analysis and operations on polynomials and rational expressions as well as applications of these topics to problem-solving.

Introduction to Algebra II
Prerequisite: A passing grade in Algebra I and a passing grade in geometry class or passing Algebra I Seq 1, Algebra 1 Seq 2, and a Geometry class.
This course reviews and expands on the concepts taught in Algebra I. Topics are presented from a "hands-on" perspective with use of graphing calculators and an emphasis on real-world problems. Certain topics are covered in less detail than in the conventional Algebra II course.

Algebra II
Prerequisite: A minimum grade of C in Algebra I and Academic Geometry.
Algebra II expands on skills introduced in Algebra I with a serious study of functions and graphs. The course reviews topics and presents new topics by applying them in mathematical modeling problems and performance activities.

Algebra II - Honors
Prerequisite: A minimum grade of C in Honors Geometry.
This course involves an intense study of important algebraic topics and techniques with special emphasis on functions, graphs and their properties. Linear, quadratic, higher degree polynomial, rational, algebraic, exponential and logarithmic functions receive serious study as do matrices and determinants.

Applied Geometry
Prerequisite:  Passing grade in Algebra I Sequence I, or Algebra I.
This course covers basic topics such as measure, angles, triangles and parallel lines. These and other topics are examined from an informal perspective which is based on application of concepts rather than formal proofs.

Calculus - Honors
Prerequisite:  A minimum grade of C in Academic Precalculus or a passing grade in Honors Precalculus. A good working knowledge of the graphing calculator is required.
The focus of the course is the study of functions, limits derivatives and antiderivatives. There is an emphasis on applications to business, physics and medicine.

Calculus - AP
Prerequisite: A minimum grade of B in Honors Precalculus or teacher recommendation. A good working knowledge of the following background areas is expected: algebra, geometry, functional analysis, trigonometry and use of the graphing calculators.
The course subject matter includes work in analytic geometry, limits and functions, and is designed to prepare students for the AB level AP Calculus exam.

CAPT Math - Core
(1/2 year, 1/2 credit)
Prerequisites: Students must have taken the math portion of the CAPT test and scored at the "Basic: level-2" or "Below basic: level-1"

The goal of this course is to increase students' ability to develop math problem-solving strategies, communicate ideas mathematically and estimate or compute an answer to a problem.

Consumer Mathematics
Prerequisite: A course in Algebra or Algebra I, Sequence I and Applied Geometry or Geometry.
Students learn to become proficient, confident problem-solvers and informed consumers. This course covers topics as: informed money management, consumer decisions, estimation, personal bank accounts, loans, credit, taxes, insurance.

General Mathematics
This 9th Grade course is for those not enrolled in a college preparatory program. The course focuses on basic arithmetic content.

Geometry
Prerequisite: A minimum grade of C in Algebra I.
The subject matter includes the study of angles, line segments, parallel lines, polygons, circles, prisms, and other common solids. The structure of plane geometry is emphasized and developed using reasoning patterns and proof.

Geometry - Honors
Prerequisite: A final grade of A or A+ in Algebra I.
The course develops logical reasoning and spacial/visual skills using inquiry-based teaching methods for the self-directed learner. The subject matter includes concepts of proof and applications of Euclidean Geometry.

Computer Programming (C++)
(1/2 year, 1/2 credit)
Prerequisite: Grade of C or better in Algebra I.
This course introduces the C++ programming language. Basic program structures, syntax, data types and data storage will be examined. No prior programming experience is required but the student should have good basic computer skills.

Precalculus
Prerequisite: A minimum grade of C in Algebra II. A good working knowledge of a graphing calculator is required. Introduction to Algebra is NOT a prerequisite for this course.
Trigonometry and analytic geometry are covered in this course. Elementary functions such as polynomial, exponential, logarithmic and circular are emphasized in Academic Precalculus.

Precalculus - Honors
Prerequisite: A minimum grade of C in Algebra II-Honors. A good working knowledge of a graphing calculator is required.
This course studies trigonometry and its applications, sequences and series, and the conic sections. Other topics include vectors, limits and polar coordinates.

Probability and Statistics
Prerequisite or Corequisite: Algebra II. A good working knowledge of a graphing calculator is recommended.
The student will study means of analyzing and presenting data. Topics include rules of probability, binomial functions, the normal distribution, linear correlation and linear regression.

Statistics - AP
Prerequisite: Algebra II and a good working knowledge of a graphing calculator.
The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will be exposed to 4 broad conceptual themes: exploring data, planning a study, anticipating patterns, and statistical inference. Students who enroll in this course will be expected to take the AP Exam in statistics.

Visual Basic
(1/2 year, 1/2 credit)
Prerequisite: Grade of C or better in Algebra I.
This course provides students with a fundamental introduction to visual basic programming. Some of the topics include: properties of objects, controls, event-driven programming, creating label controls, Boolean logic, data types and variables, flow charts, graphics, and case study applications. No prior programming experience is required.