ALGEBRA I
This course develops the properties of the number system and then establishes theorems about the number system in such a way that Algebra I is developed as a systematic study rather than a list of unrelated rules. It includes studies of equations, inequalities, and their applications. Algebra I provides the fundamentals necessary for further study of mathematics. This honor course is taught at an accelerated pace and is a more in-depth study than regular Algebra I.

ADVANCED ALGEBRA I
This course is for entering ninth graders who meet the following criteria:
1. Algebra I taken prior to the 9th grade with no credit given.
2. Algebra I taken prior to the 9th grade with less than an 85 for the final grade and the credit test.
3. Determined poor background in Algebra I.

GEOMETRY, HONORS
This course develops the concepts of plane, solid, and coordinate geometry. Proofs, both deductive and inductive, are used to develop these concepts and to develop logical thought and reasoning processes. This honors course is taught at an accelerated pace and is a more in-depth study than regular Geometry. (Algebra I, Honors is a prerequisite to this course.)

ALGEBRA II
This course extends the concepts of Algebra I, and is designed to develop skills in more complex inequalities and equations. Algebra II is basically a study of functions. The course introduces elementary concepts of Analytic Geometry. The course is taught at an accelerated pace and is a more in-depth study than regular Algebra II. (Successful completion in Algebra I and Geometry is required.)

PRE-CALCULUS WITH TRIGONOMETRY
This course is required of all Hume-Fogg students. This is a transition course from Algebra to Calculus. The nature of functions is explored and modeled numerically, analytically, and graphically. Embedded in this course is nine weeks of trigonometry. The course also explores sequences, series, and a developmental approach to limits. Pre-requisites to this course include successful completion of Algebra I, Geometry, and Algebra II or their equivalent.

ADVANCED PLACEMENT CALCULUS
To seek entry into either levels of Calculus (AB or BC), students must meet the following requirements:
1. Complete Pre-Calculus with an 85 or better average.
2. Complete an AP contract form.
3. Have teacher approval.

CALCULUS AB AND CALCULUS BC follow published curricula from the College Board. The topical index may be located on the College Board website.

DISCRETE MATHEMATICS WITH STATISTICS
Discrete Mathematics involves the study of objects and ideas that can be divided into separate or discontinuous parts. Problems to be studied can be classified into three broad categories. The first category, existence problems, deals with whether a given problem has a solution or not. The second category, counting problems, investigates how many solutions may exist for problems with known solutions. A third category, optimization problems, focuses on finding the best solution to a particular problem. Also, this course will acquaint the student with the theory of probability?the mathematics of uncertainty. It will also illustrate some applications of probability to statistical theory and how this is applied to practical and scientific problems. This course is for seniors who elect to take a non-AP level of mathematics. Students must have successfully completed Pre-Calculus or concurrently enrolled in Pre-Calculus.

*NOTE: This course cannot be taken in place of Pre-Calculus or along with AP Statistics.

ADVANCED PLACEMENT STATISTICS
To seek entry into this class a student must meet the following requirements:
1. Complete Algebra II with an 85 or better average.
2. Complete an AP contract form.
3. Have teacher approval.
Prerequisites to this course include successful completion of Algebra I, Geometry, and Algebra II.

*NOTE: This course can be taken along with Pre-Calculus by seniors. Enrollment consideration is given to seniors first.