## Course Descriptions for Mathematics [1]

**Algebra I**

Algebra I is the first course in the college-preparatory mathematics program. Students learn basic algebraic concepts. They develop skills in simplifying expressions and solving equations and practice graphing linear and quadratic equations. They learn to manipulate variables as they develop a facility with signed numbers, simple factoring, and multiple formulas. They practice graphing linear and quadratic equations. This course provides the foundation for high school mathematics.* Prerequisite: Pre-algebra.*

**Honors Algebra I**

Students are challenged in Honors Algebra I to learn and apply the curriculum described above in order to solve complex problems in algebra. A strong background in pre-algebra is a must for students to qualify for this course. Students must be recommended for this course. *Prerequisite: Completion of Pre-Algebra or equivalent with a grade of A or a grade of B with teacher approval.*

**Geometry**

This course covers a systematic study of the nature of deductive and analytical proofs. Students learn to establish congruence and similarity for triangles and other polygons. Special properties of isosceles, equilateral, and right triangles are explored in depth. Students study perimeters, areas, and volumes of a variety of geometric figures. They explore the concepts of perpendicular and parallel lines and planes. This course provides a traditional foundation in Euclidean geometry. *Prerequisite: Algebra I.*

**Honors Geometry**

Students are challenged in Honors Geometry to learn to use the material studied in the Geometry curriculum in order to write sophisticated proofs of complex theorems. Additional topics include coordinate geometry and trigonometry. Students must be recommended for this course. *Prerequisite: Completion of Algebra I or equivalent with a grade of A or a grade of B with teacher approval.*

**Algebra II/Trigonometry**

Algebra II reviews and expands basic algebraic concepts and skills covered in Algebra I and Geometry. Students learn a higher level of mathematical thinking and greater skill in working with numbers and algebraic expressions, equations, and inequalities. Among other topics, they study complex numbers, functions, linear systems, quadratic functions, radical equations, and trigonometry. This course provides the background for pre-calculus. *Prerequisite: Algebra I.*

**Honors Algebra II/Trigonometry**

Students are challenged in Honors Algebra II/Trigonometry to cover the regular Algebra II curriculum in depth with less attention to a review of Algebra I concepts. In addition to the topics covered by the regular Algebra II/Trigonometry class, the Honors class covers probability and linear programming. *Prerequisite: Completion of Geometry or equivalent with a grade of A or a grade of B with teacher approval.*

**Pre-Calculus**

This advanced course prepares students for calculus and higher-level mathematics. Students are exposed to higher level functions, including circular functions (trigonometry), analytical geometry, sequence and series, polar coordinates, and conic sections. Prerequisites: Algebra II/Trigonometry and Geometry.

**Pre-Calculus Honors/Pre-Calculus I & Pre-Calculus II (Dual-enrolled as Math 101 & Math 102 with Shenandoah University)**

This challenging course prepares our most serious students for theoretical college calculus by challenging them to solve rigorous and complex problems with an in-depth knowledge of higher level functions as described in Pre-Calculus. The students will earn six hours of college credit upon successful completion of the course. *Prerequisites: Algebra II/Trigonometry and Geometry, as well as teacher approval.*

**Advanced Placement Calculus AB/Calculus I (Dual-enrolled as Math 201 with Shenandoah University)**

Calculus is the mathematical tool used to analyze changes in physical quantities. This course deals with differentiation and integration of algebraic and transcendental functions with applications. Upon successful completion of this course, the student will receive four hours of college credit as well as complete the Advanced Placement AB exam. *Prerequisites: Pre-Calculus and teacher approval.*

**Advanced Placement Calculus BC/Calculus II (Dual-enrolled as Math 202 with Shenandoah University)**

The beginning of the course reviews Calculus AB and Calculus I. It then continues with differential equations, applications of integration, advanced integration techniques, infinite series, parametric equations, and polar coordinates. Upon successful completion of this course, the student will receive four hours of college credit as well as complete the Advanced Placement BC exam. *Prerequisites: Successful completion of AP Calculus AB with a grade of B and a score of 3 on the AP Calculus AB exam. Students must be recommended for this course.*

**Advanced Mathematics: Transition to College Mathematics and Statistics**

This problem-based, inquiry-oriented, fourth-year high school mathematics course is intended for students who do not plan to major in the mathematical, physical, or biological sciences or engineering. This TCMS course consists of Interpreting Categorical Data, Functions Modeling Change, Counting Methods, Mathematics of Financial Decision-Making, Binomial Distributions and Statistical Inference, Informatics, Spatial Visualization and Representations, and Mathematics of Democratic Decision-Making.

**Mathematics for Business & Finance**

This course teaches students mathematics in the context of business and personal finance. Topics include budgeting and money management, banking and credit, and saving and investing. This course provides valuable information for how to use math in everyday business and personal finance situations, and to fully understand how to manage one's financial resources effectively for lifetime financial security.

**Advanced Placement Statistics**

Statistics is the mathematical science used in collecting, analyzing and developing conclusions from data. It is a two-semester course that concentrates four major conceptual themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Upon successfully completing the course, the student will take the Advanced Placement exam and may earn advanced placement or credit for a one-semester introductory college statistics course. Students must be recommended for this course.* Prerequisite: Completion of Algebra II or equivalent with a grade of A or a grade of B with teacher approval.*