ALGEBRA 1 HONORS
(Ninth Grade, 2 terms, 1 credit, Elective)
Prerequisite:  Recommendation of Mathematics Department based on placement test scores
This course is designed for those students with a high aptitude in math with a strong background in Pre-algebra.  The focus is less on the drill of computation and more on a deeper understanding of the theory and its application to problems.  The pace is deliberately quicker.  In addition to topics taught in Algebra 1, students will be expected to use real number properties and axioms in rigorous proofs of various properties and equations, use quadratic equations to find maximum and minimum conditions, solve linear systems of equations and related problems in three variables, and solve radical equations with two and three radicals.

GEOMETRY
(2 terms, 1 credit, Required)
This college-prep course includes the topics of classical geometry:  relationships in triangles, right triangles, classification of polygons, congruence and similarity of polygons, angles associated with circles, symmetry, constructions with compass and straightedge, rotations, translations, reflections, dilations, areas of plane figures, and volumes of solid figures.  The material will be used to solve a variety of problems, including algebraic.  The emphasis will be on developing an axiomatic system of mathematics in order to further develop the student's logical thinking skills.  To this end, proofs of theorems will be an important component of this class.
GEOMETRY HONORS
(2 terms, 1 credit, Elective)
Prerequisite:  Recommendation of the Mathematics Department
This course will include all of the topics covered in Geometry but will move at a more rapid pace.  The student will also be expected to complete more difficult problems and proofs.  The Geometer's Sketchpad program will be used extensively in order for students to make inductive discoveries in geometry.  Additional topics apart from Geometry would be: combinations of rotations, translations, reflections, and dilations, and, also, tessellations.  A variety of projects will also be used to apply geometry to non-traditional topics.

 
ALGEBRA 2
(2 terms, 1 credit, required)
Prerequisite: Recommendation of Mathematics Department based on math placement test scores
This course reviews and extends the concepts of Algebra I.  Linear and quadratic functions are emphasized even more, and polynomial, exponential, and logarithmic functions, along with the conic sections, are also introduced.  There is also greater emphasis placed on the relationship between equations and their graphs so that the graph may be used to interpret what is happening in a problem.  If time permits, sequences and series will be introduced.

ALGEBRA 2 HONORS
(2 terms, 1 credit, Elective)
Prerequisite:  Recommendation of Mathematics Department
This course continues the advanced preparation of students with high math aptitude and interest.  It reviews and extends the concepts of Algebra I Honors.  The focus is on a deeper understanding of the theories and their applications, but will also stress the relationship of equation to graph.  One of the goals of the course is to help select and prepare students for the Calculus AP course.  Successful students should not only have aptitude, but interest and commitment.  Objectives beyond the college prep curriculum include working with determinants to solve linear equations in two and three variables.  A graphing calculator is required.

PRE-CALCULUS
(2 terms, 1 credit, Elective)
 
This college-prep course prepares the student for a transition to college-level mathematics courses.  The course will cover two main topics—Analytic Geometry & Trigonometry.  In the analytic geometry portion, the students will learn about the characteristics of the graphs of several basic function types including polynomial, rational, exponential, and logarithmic.  The student will also learn about the applications of these functions.  In the trigonometry portion, the student will learn about the six trig functions, including characteristics of the graph of these functions, right triangle definitions, unit circle definitions, and applications of both right and non-right triangles.  A graphing calculator is required.

PRE-CALCULUS HONORS
(2 terms, 1 credit, Elective)
Prerequisite:  Recommendation of the Mathematics Department
This is a very demanding course both in content and amount of work involved.  Students who successfully complete this course will be able to rise to the demands of the Advanced Placement Calculus class.  This course will take all of the concepts in the college prep Precalculus class and examine them in more detail. Special emphasis will be given to the trigonometric functions and their applications.   In addition, there will be more emphasis on applying functions to actual situations through the use of written projects.  Additional topics include polar coordinates and regression analysis. A graphing calculator is required.

PROBABILITY AND STATISTICS
(Eleventh or Twelfth Grade, 1 term, ½ credit)
This course covers the various aspects of descriptive statistics including histograms, mean, median and mode, stem-and-leaf diagrams, variance, mean deviation, standard deviation, T-scores, and z-scores. In addition, elementary probability and probability distributions are covered.

ADVANCED TOPICS IN MATH
(Eleventh or Twelfth Grade, 1 term OR 2 terms, ½ credit, Elective)
Prerequisites:  Pre-Calculus or Honors Pre-Calculus.  (This course can be taken con-currently with Probability and Statistics or either Calculus class.)
This course is designed for students who want more mathematics, but not necessarily a calculus course.  The topics are many and varied:  conic sections not centered at origin; rotation of conic sections; parametric equations; matrices/determinants and applications of these; sequences/series/probability/; vectors; proof by mathematical induction; polar coordinates and graphs; introduction to limits; finite geometry.

CALCULUS
Twelfth Grade, 2 terms, 1 credit, Elective)
Prerequisite:  Recommendation of Mathematics Department
This course is intended to provide an introduction to the concepts of Calculus that would be found in a college course.  The student will learn the various techniques of differentiation and applications of the derivative.  In addition, some of the techniques of integration will be explored, along with applications to area and volume of non-regular figures.  This course will provide a background in calculus so that students will have some exposure to the basic ideas before they take a college level course. A graphing calculator is required.

CALCULUS --ADVANCED PLACEMENT
(Twelfth Grade, 3 terms, 1.5 credits, Elective)
Prerequisite:  Recommendation of Mathematics Department
 
This course is designed for those students who have completed the honors program and have demonstrated aptitude, interest, and commitment.  The course follows the AP Calculus AB syllabus, as published and revised by the College Board.  Differential calculus is introduced with the concept of the instantaneous limit of the function.  It is used to define the derivative.  Derivative rules are developed for various functions and combinations of functions.  The concepts of differentiability and continuity are developed.  Wide ranges of applications of the derivative are explored. Integral calculus seeks to reverse the differentiation process.  Integration techniques are developed and applied to the definite integral to find lengths of curves, areas, volumes, and average values.  A graphing calculator is required.

One of the goals of the course is to have each student take the AP Calculus Exam in May and score 3, 4, or 5.  Most universities accept these results as a completed course. There is an additional arrangement with Xavier University where the students take tests all year and receive credit directly upon satisfactory completion.