Advanced Mathematics Courses and Electives

When reviewing the course work below, please note that math teachers will make recommendations for the appropriate levels for students.   They will base their recommendations on grades, homework, class work, tests, quizzes, motivation, and aptitude.   Students who desire a course or level not recommended by their teacher will need to complete a math course waiver pending they have met the prerequisite course work. 

Advanced Courses

PRE-CALCULUS  

Grades: 11-12

Credits: 5

Prerequisite: Successful completion of Algebra 2

This is a course that deals with an in-depth analysis of circular and trigonometric functions as well as probability and statistics. It is expected that a student who successfully completes this course will have developed mastery and proficiency in the following areas: analysis of circular and inverse circular functions, solution of problems using the laws of sines and cosines, knowledge of trigonometric addition formulas, organizing numerical data, theoretical and experimental probabilities, knowledge of conditional probabilities, solution of binomial distribution problems, fundamental operations on random variables and probability functions, using continuous distributions, and knowledge of sampling and estimation problems.  Summer work is required for this course.

AP PRE-CALCULUS

Grades: 11-12

Credits: 5

Prerequisite: Successful completion of Algebra II and teacher recommendation

This is a course that bridges the gap between Algebra II and Calculus. The content includes elementary analysis, trigonometry, analytic geometry, limits, sequences and series, and an introduction to calculus. It is expected that a student who successfully completes this course will have developed mastery and proficiency in the following areas: operating on relations and functions, knowledge of circular functions, solution of applications of trigonometry problems, sequences, series, and limits, knowledge of functions and limits, solution of algebraic functions, maxima and minima applications, knowledge of vectors, lines, and planes, derivatives of functions. Summer work is required for this course.  Students enrolled in this course are expected to be prepared to take the AP Pre-Calculus Exam in May. 

CALCULUS  

Grade:  12

Credits:  5

Prerequisite: Successful completion of Precalculus and teacher recommendation

This course is intended for those students who are going to be taking a Calculus course in college but want to get an understanding of the fundamental operations of Calculus.  It is expected that a student who successfully completes this course will have developed mastery and proficiency in the following areas: the concept of limits, the slope of the tangent to the curve, applications of differentiation, the concept of integration and the definite integral, and applications of the definite integral.  Summer work may be required for this course.

AP CALCULUS 

Grade: 12

Credits: 5

Prerequisite: Successful completion of Pre-Calculus Honors and teacher recommendation

This calculus course is the final step in the sequence of higher-level courses in mathematics. Topics such as limits, differentiation, integrals, trigonometric and exponential functions as well as applications will be stressed. The course is designed for students having a strong mathematical background. It is expected that a student who successfully completes this course will have developed mastery and proficiency in the following areas: knowledge of calculus limits, solution of problems dealing with differentiation, applications of differentiation, solution of definite integral problems, applications of integration, knowledge of formulas and methods on integration, and fundamental operations on trigonometric and exponential functions. Summer work is required for this course.  All students enrolled in this class are expected to prepare for and take the Advanced Placement Calculus exam in May.

AP STATISTICS 

Grade: 11, 12

Credits: 5

Prerequisite: Department recommendation 

The course will deal with many facets of data analysis. Topics will include descriptive statistics, probability, probability distributions, and inferential statistics. Examples will be taken from various fields. All students enrolled in this class are expected to prepare for and take the Advanced Placement Statistics exam in May.

Electives

STATISTICS

Grades: 11, 12

Credits: 5

Prerequisite: Department recommendation and successful completion of Algebra II

Statistics is the science of designing studies, gathering, data, and the classifying, summarizing, interpreting and presenting the data to explain and support decisions that are reached. Students will be exposed to four broad conceptual themes: Exploring Data by describing patterns and departures from patterns; Sampling and Experimentation by planning and conducting studies; Anticipating Patterns by exploring random phenomena using probabilities and simulations; Using Statistical Inference by estimating population parameters and testing hypotheses. Summer work is required for this course.

MATH ESSENTIALS

Grade: 9-12

Credits: 2.5 or 5

Prerequisite: Department recommendation

This course is designed to supplement a high school Mathematics curriculum.  It has been created to assist students who have been identified as struggling with the core/basic and necessary skills to succeed in their general academic coursework.  This course will equip students with strategies that will help them complete their regular education coursework with a greater level of confidence and independence.