Mathematics Department

Algebra 1

Length:                Year
Credits:                1.00

Algebra 1 covers the concept of variables, variable operations in conjunction with numerical operations, solving one- and two-variable equations, and problem solving.  Topics include the study of sets, number properties and operations, solving equations and inequalities, coordinate graphing of equations and inequalities, polynomials, factoring, rational expressions, and quadratic equations.  As the student’s mastery of algebraic concepts and processes increases, the course includes problems that emphasize the many real-life applications of algebra, such as distance-rate-and-time and area and perimeter problems.  Each student must bring a personally owned TI-84 Plus graphing calculator to class every day.  

Geometry  

Length:                Year
Credits:                1.00

Prerequisites:            Completion of Algebra 1

Geometry builds logic and reasoning skills through visual thinking, inductive reasoning, and analysis of geometric figures.  Topics include angle relationships, parallel lines and planes, congruency and similarity, circles, arcs, constructions, coordinate geometry, areas of polygons and circles, and areas and volumes of solids.  Additional emphasis is placed on the analytical geometry of linear and absolute value functions, slope, writing equations of lines, scatter plots, linear regressions, direct variation, transformational graphing of absolute value functions, half-planes, and solving linear systems.  Throughout, the course reviews algebraic concepts and processes and applies them in problem solving.  Each student must bring a personally owned TI-84 Plus graphing calculator to class every day.

Algebra 2

Length:                Year
Credits:                1.00

Prerequisites:            Successful completion of Algebra 1 and Geometry

Algebra 2 builds on the foundation established in Algebra 1 and Geometry, and examines linear, quadratic, and polynomial functions; solutions of linear, absolute-value, and quadratic equations and inequalities; higher-degree polynomial functions; and graphs and solutions of systems of linear, quadratic, and polynomial equations.  Each student must bring a personally owned TI-84 Plus graphing calculator to class every day.

Algebra 2 Honors

Length:                Year
Credits:                1.00

Prerequisites:            Completion of Algebra 1, Geometry, and Departmental Approval

Algebra 2 (Honors) builds on the foundation established in Algebra 1 and Geometry and  examines solutions and graphing of linear and quadratic equations and inequalities; linear functions; systems of linear and quadratic equations; matrices and determinants; polynomials and polynomial functions; rational expressions; and solutions of rational equations. In addition, the course includes conic sections, exponential and logarithmic functions, triangle trigonometry, circular trigonometry with special angles, equations, and identities. This course prepares the student for Precalculus or Precalculus (Honors).  Each student must bring a personally owned TI-84 Plus graphing calculator to class every day.

Precalculus  

Length:                Year
Credits:                1.00

Prerequisites:            Successful completion of Algebra 2 or Algebra 2 Honors

Precalculus solidifies proficiency and conceptual understanding of the algebra of real numbers and introduces students to the fundamentals of mathematical modeling through in-depth study of polynomial, radical, rational, exponential, logarithmic, and trigonometric functions; sequences, and series; conic sections; parametric equations; and polar coordinates.  The course prepares students for more advanced concepts found in Calculus or AP Calculus AB.  Each student must bring a personally owned TI-84 Plus graphing calculator to class every day.  

Precalculus Honors

Length:            Year
Credits:            1.00

Prerequisites:         Minimum grade average of 85 in Algebra 2 or Algebra 2 (Honors) and Departmental Approval

Precalculus (Honors) solidifies proficiency and conceptual understanding of the algebra of real numbers and introduces students to the fundamentals of mathematical modeling through in-depth study of polynomial, radical, rational, exponential, logarithmic, and trigonometric functions; sequences and series; conic sections; parametric equations; and polar coordinates and graphs, as well as vectors.  The course then begins differential calculus and prepares students for more advanced concepts found in AP/College Calculus AB or BC.  Each student must bring a personally owned TI-84 Plus graphing

 

 

TRANSCENDENTAL FUNCTIONS

LENGTH:            YEAR
CREDITS:            1.00

Prerequisites:        Completion of Algebra 2

Transcendental Functions is designed for those who would like to strengthen their Algebra and Trigonometry skills before moving onto logarithms and exponentials, the transcendental functions.  This class is designed more to the applications of the mathematical concepts to the real world as opposed to the developmental and theoretical concepts used in PreCalculus and its successor classes.

ADVANCED PLACEMENT CALCULUS AB

LENGTH:                YEAR
CREDITS:                1.00

Exam requirement: The AP Calculus AB exam is required in addition to the course semester and final examinations.
Prerequisites: Successful completion of Precalculus or Precalculus (Honors) and Departmental Approval

Course Fees: Prepayment of the College Board’s AP exam fee

AP Calculus AB is a college-level course for the highly motivated and dependable student of mathematics.  It follows the standard Advanced Placement curriculum, focused on an in-depth study of the concepts and applications of limits and derivatives.  Major topics include limits, continuity, derivatives, differentiation and integration of functions in one variable, and applications of the derivative and definite integral.  Each student must bring a personally owned TI-84 Plus graphing calculator to class every day.

ADVANCED PLACEMENT CALCULUS BC

LENGTH:                YEAR
CREDITS:                1.00

Exam Requirement: The AP Calculus BC examination is required in addition to the course semester and final examinations.
Prerequisites: Successful completion of Precalculus Honors and Departmental Approval

Course Fees: For AP:  Prepayment of the College Board’s AP exam fee.  

AP Calculus BC is a very challenging college-level course for highly motivated students who have thoroughly mastered the foundations for advanced calculus.  The course follows the standard AP curriculum for an in-depth study of integral calculus.  Major topics include anti-derivatives, differential equations, the definite integral and its applications, and a variety of integrating techniques.  Each student must bring a personally owned TI-84 Plus graphing calculator to class every day.

MACROECONOMICS

GRADE LEVEL:   11 OR 12
LENGTH:            SEMESTER
CREDIT:            .5
PREREQUISITE:  PRECALCULUS

Students will be introduced to the classic macroeconomic issues such as growth, inflation, unemployment, interest rates, exchange rates, technological progress, and budget deficits. The course will provide a framework to address these issues and to study the impact of different policies, such as monetary and fiscal policies, on the aggregate behavior of individuals. These analytical tools will be used to understand the recent events around the world and to see how current policy initiatives affect their macroeconomic performance.

MICROECONOMICS

GRADE LEVEL:    11 OR 12
LENGTH:            SEMESTER
CREDIT:            .5
PREREQUISITE:  PRECALCULUS

Microeconomics focuses on the basic elements of microeconomics.  These concepts include supply and demand analysis, corporate behavior, individual behavior, competition, monopoly, and welfare economics. Students will apply these microeconomic applications to current economic policy issues as they develop.

PROBABILITY

LENGTH:            SEMESTER (FALL)
CREDIT:            .5
PREREQUISITE:         PRECALCULUS

Probability is an introduction to one of the basic applications of mathematics.  Subjects range from the theoretical chances of events occurring, the classic considerations of counting, permutations, combinations, and conditional probabilities, to the actual applications of games of chance.  Students will take an active participation through reports and presentations showcasing what they have learned.

STATISTICS

LENGTH:            SEMESTER (SPRING)
CREDIT:            .5
PREREQUISITE:  PROBABILITY

Statistics will cover the basic concepts behind the tantalizing numbers bombarding us in the information age.  After a short review of probability, topics will cover the exploration of normal distributions, poisson distributions, sample errors, and the art of taking surveys.  Students will have tests, reports, and presentations dealing with current topics and political events.   

ADVANCED TOPICS IN MATH

LENGTH:            SEMESTER
CREDIT:            .5
PREREQUISITE:  AP CALCULUS AB OR BC

This advanced class will cover a variety of topics in mathematics that are outside of the standard math curriculum.  Among the topics that will be covered are logic, combinatorics, graph theory, game theory, topology, and group theory.  Grades will be based upon quizzes, tests, and individual and group projects.