Math Core Courses

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. 

ALGEBRA I 

Grade: 9

Credits: 5

Prerequisite: None

In this course students will use symbolic reasoning to represent mathematical situations, express generalizations, and study relationships among quantities that can be represented with linear equations, linear inequalities, and linear functions. Students will also be introduced to nonlinear functions such as exponentials and quadratics.

GEOMETRY 

Grades: 9, 10

Credits: 5

Prerequisite: Successful completion of Algebra 1

This course is designed to give students an understanding of the nature of a mathematical system and an appreciation of the basic structure of geometry. Emphasis is placed on the role of the inductive and deductive reasoning in mathematical situations. It is expected that a student who successfully completes this course will have developed mastery and proficiency in the following areas: postulates and theorems of geometry, deductive reasoning of a proof, angle relationships and parallelism, proof of congruence in triangles, proof of similarity in polygons, computation of areas of polygons and circles, solution of numerical exercises relevant to circles, arcs, angles and segments, basic constructions, knowledge of coordinate geometry by determining equations of lines, simple probability, right triangle trigonometry, and volumes of solids. Summer work is required for this course.

GEOMETRY HONORS 

Grades: 9, 10

Credits: 5

Prerequisite: Successful completion of Algebra I and teacher recommendation

This is a course in plane and solid geometry designed for students who will take Pre-Calculus and Calculus. Emphasis is placed on proof and discovery. The student is encouraged to investigate and/or develop new proofs. It is expected that a student who successfully completes this course will have developed mastery and proficiencies in the following areas: postulates and theorems of geometry, proof by deductive reasoning, knowledge on angle relationships and parallelism, proof of congruence in triangles and similarity in polygons, computation of areas and volumes, solution of numerical exercises and proofs, basic constructions, knowledge of coordinates, solution of involved proofs, solution of problems in analytic geometry, simple probability, and right triangle trigonometry. Summer work is required for this course.

ALGEBRA II 

Grade: 10, 11, 12

Credit: 5

Prerequisites: Successful completion of Geometry

This is a course in Algebra that continues exposing students to algebraic concepts.  It is expected that a student who successfully completes this course will have developed mastery and proficiency in the following areas:  polynomials and rational expressions, solutions of linear equations and inequalities, knowledge of coordinate geometry, solution of relation and function problems, solutions of quadratic and logarithmic function problems, solutions of systems of equations and inequalities, operations on expressions involving real exponents, and simple probability.  This curriculum will incorporate real world modeling, application, and problem based solving.

ALGEBRA II HONORS 

Grades: 10, 11, & 12

Credits: 5

Prerequisite: Successful completion of Geometry and teacher recommendation

Algebra II Honors builds upon the numerical skills of arithmetic, bringing the student into the realm of generalized higher mathematics.  This includes, but is not limited to general tools of Algebra, functions, equations, graphs, linear systems, matrices, quadratic equations and functions, polynomials and polynomial functions, radical functions and rational exponents, exponential and logarithmic functions, rational functions, quadratic relations, periodic functions and trigonometry, trigonometric identities and equations.  In addition to these topics, Algebra II Honors also covers sequences and series, and probability and statistics.  Students will utilize current technologies throughout the course and will experience a variety of activities and methodologies including reading, writing, and speaking mathematics, independent study, cooperative learning techniques, exploration and discovery, and incorporation of real-world examples.

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.

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.

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.