Mathematics

Course offerings engage students in problem solving and thinking mathematically. The learning of mathematics is an active process through which students are exposed to a broad content that reveals the usefulness of mathematics. Mathematics course offerings engage students in exploring, conjecturing, problem solving, communicating, reasoning and proof using a variety of technologies, including the graphing calculator.

Mathematics Notes: The following notes will assist in the selection of appropriate math courses:
  1. Criteria for placement in Honors or AP level classes: recommended score of 500 on SOL tests, an “A” or “B” in previous math classes; for AP level courses, completion of Honors level mathematics courses.
  2. Only one high school credit can be earned for any high school mathematics course. Recommendations to repeat a course when a grade of “D” is earned are intended to encourage improvement of mathematical skills as a foundation for success in future mathematics courses. 
  3. Completion of Algebra II is required for an Advanced Studies diploma. 

Algebra I

3130 (ALGEBRA I)
1 Credit
Grades: 9–12

Algebra I is the beginning of the academic sequence of mathematics courses. It emphasizes the basic structure of the real number system, the techniques of algebra as reflections of this structure, and the acquired facility in applying algebraic concepts and skill. While the main focus of this course promotes algebraic skills, geometric and statistical concepts are integrated into the course to develop skills for practical applications. At the end of this course students may be tested on the Algebra I Standards of Learning.

Geometry

3143 (GEOMETRY)
1 Credit
Grades: 9–12
Prerequisite: Algebra I or Department Head Screening

This course includes an emphasis on developing reasoning skills through the exploration of geometric relationships including properties of geometric figures, trigonometric relationships, and mathematical proofs. The course includes emphasis on two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. At the end of this course, students may be tested on the Geometry Standards of Learning.

Algebra, Functions and Data Analysis

3134 (ALGFUNGDATA)
1 Credit
Grades: 10–12
Prerequisite: Geometry or department head screening

This course offers relevant, real-world experiences taught through hands-on investigations techniques using technological tools. Students will work with real-life data, conduct labs, complete projects and prepare presentations of findings. This course will prepare students to take Algebra II.

Algebra II

3135 (ALG II)
1 Credit
Grades: 10–12
Prerequisite: Geometry


Algebra II follows Geometry in the sequence of academic mathematics courses. Problem-solving skills are developed through algebraic, geometric, trigonometric and statistical applications. At the end of this course students may be tested on the Algebra II Standards of Learning.

Trigonometry

3150 (TRIG)
½ Credit
Grades: 11–12
Prerequisite: Algebra II


Trigonometry will be investigated through the study of trigonometric definitions, applications, graphing, and solving trigonometric equations and inequalities. Emphasis is placed on connections between right triangle ratios, trigonometric functions and circular functions. In addition, modeling and realistic applications are used throughout the course. Students will learn to communicate using the language of mathematics, logic of procedure and interpretation of results. Graphing calculators, computers and other technologies will be used as tools to assist in teaching and learning.

Advanced Algebra/Trigonometry

31601 (Ad.AlgTrig.)
1 Credit
Grades: 10–12
Prerequisite: Algebra II


This year-long course combines study of Advanced Algebra and Trigonometry. Students will investigate multiple representations of functions through mathematical modeling of real-world situations. Trigonometry will be investigated through the study of trigonometric definitions, applications, graphing and solving trigonometric equations and inequalities. Students will be working collaboratively to communicate using the language of mathematics, logic of procedure and interpretation of results.

Advanced Algebra

31605 (ADV ALG)
½ Credit
Grades: 10–12
Prerequisite: Algebra II


Advanced Algebra extends concepts from Algebra II with an emphasis on investigating multiple representations of functions. Topics include linear algebra, logarithmic and exponential functions, and analytic geometry, including conic sections. Students will investigate mathematical modeling through real-world data collection using graphing calculators and CBRs.

Probability and Statistics

31901 (PROB/STAT)
1 Credit
Grades: 11–12
Prerequisite: Algebra II


31905 (PROB/STAT)
½ Credit
Grades: 11–12

Prerequisite: Algebra II

Students will find means and variances of random variables, simulate binomial and geometric probability distributions, interpret sampling distributions and understand the Central Limit Theorem. Students will plan and conduct an experiment, apply hypothesis-testing and conduct both large sample significance tests and Chi-square tests. This includes applying t-distributions to single and two-sample t-procedures, using tables or graphing. All students will display and analyze data using a graphing calculator and a statistical software package. Students in the year-long class will use statistical inference to draw conclusions about a population based on sample data and use probability to determine the reliability of the conclusions.

Honors Geometry

3143X (H GEOM)
1 Credit
Grades: 9–10
Prerequisite: Algebra I


Honors Geometry is for the accelerated mathematics student. The problems of this course are more challenging than those of the academic Geometry course. Congruent triangles, parallel lines, circles, areas and volumes, similarity, and techniques for writing proofs will be studied in depth. At the end of this course students will be tested on the Geometry Standards of Learning. See Guidelines for Placement of Students in Honors/AP/Dual Enrolled Classes.

Honors Algebra II

3135X (H ALG II)
1 Credit
Grades: 9–12
Prerequisite: Honors Geometry


Honors Algebra II is a course for the accelerated mathematics student. An in-depth study of the structure and concepts of algebra is stressed. Challenging problems which help develop problem-solving skills are emphasized. At the end of this course students will be tested on the Algebra II Standards of Learning. See Guidelines for Placement of Students in Honors/AP/Dual Enrolled Classes.

Honors Math Analysis

3162X (H MTH ANALYSIS)
1 Credit
Grades: 10–12
Prerequisite: Honors Algebra II


This course is designed for the accelerated mathematics student. It encompasses and extends topics and concepts of intermediate algebra with an emphasis on functions. Topics include circular, trigonometric, logarithmic and exponential functions, linear algebra, analytic geometry and topics from discrete math and calculus. Note: A grade of at least “B” in Honors Algebra II is recommended before enrolling in this course. See Guidelines for Placement of Students in Honors/AP/Dual Enrolled Classes.

Honors Calculus

3178X (HON CALCULUS)
1 Credit
Grades: 11–12
Prerequisite: Honors Math Analysis or Advanced Algebra and Trigonometry


Calculus is the fifth year of the academic mathematics sequence which begins with Algebra I in the eighth grade. Topics include limits, derivatives, integrals and their applications.

AP Calculus AB

3177X0 (AP CALC AB)
1 Credit
Grades: 11–12
Prerequisite: Honors Math Analysis and Department Head Advisement


This course is for the student who has been very successful in the honors mathematics program. The pace is faster than the Honors Calculus course and will be more challenging. Students in this course may take the Advanced Placement Exam in Calculus AB to earn college credit. With an acceptable score on this exam, students may receive college credit or advanced placement in their college mathematics course. Note: A grade of at least “B” in Honors Precalculus is recommended before enrolling in this course. See Guidelines for Placement of Students in Honors/AP/Dual Enrolled Classes.

AP Calculus BC

3177X1 (AP CALC BC)
1 Credit
Grades: 11–12
Prerequisite: Honors Math Analysis and department head advisement


The pace of this course allows for topics from AP Calculus AB to be taught along with the Calculus BC topics of polar coordinates integration by partial fractions, Hooke’s Law, and sequences and series. Students in this course may take the Advanced Placement Exam in Calculus BC to earn college credit. See Guidelines for Placement of Students in Honors/AP/Dual Enrolled Classes.

AP Calculus BC-2

3177X2 (AP CAL BC-2)
1 Credit
Grade: 12
Prerequisite: AP Calculus BC or equivalent

Multivariable Calculus presents vector-valued functions, partial derivatives, multiple integrals, matrices, vector spaces, determinants, solutions of systems of linear equations, basis and dimension eigenvalues and eigenvectors. This course is designed for students preparing for mathematical, physical science and engineering programs. 

AP Computer Science A

3185X (AP COMP SCI A)
1 Credit
Grades: 9-12
Prerequisite: Algebra I

This course is taught according to the syllabus for Computer Science A available through the College Entrance Examination Board. Major topics in the course include programming methodology, algorithms, and data structures. Topics are extended to include constructs, data types, functions, testing, debugging, algorithms, and data structures. The Java programming language is used to implement computer-based solutions to meaningful problems. Treatments of computer systems and the social implications of computing are integrated into the course. Students have the opportunity to take the AP Computer Science A Exam with the possibility of earning college credit. AP Computer Science A can be classified as a math or as a science graduation requirement.

AP Computer Science Principles

3184X (AP PRIN CS)
1 Credit
Grades: 9-12


This course is designed to be the equivalent of a first semester introductory college course. This course introduces students to the foundational concepts of computer science and explores the impact computing and technology have on our society.

AP Statistics

3192X (AP STATS)
1 Credit
Grade: 12

Prerequisite: Algebra II

This college-level course in introductory statistics includes (1) exploring data: observing patterns and departures from patterns; (2) planning a study: deciding what or how to measure; (3) anticipating patterns in advance: introducing probability and simulation; (4) statistical inference: confirming models. There are several special problems/investigations culminating in a written report. Students should own or have access to a graphing calculator and a computer. Students may earn college credit through the AP Statistics exam. See Guidelines for Placement of Students in Honors/AP/Dual Enrolled Classes. 

Senior Capstone Mathematics

31361 (CAPSTONE MTH)
1 Credit
Grade: 12
Prerequisite: AFDA or Algebra II with Department Approval

31365 (CAPSTONE MTH)
½ Credit
Grade: 12
Prerequisite: AFDA or Algebra II with Department Approval+

Students in the Capstone Mathematics course set personal goals for college and career plans by researching prerequisite mathematics courses required to place into career cluster courses. Students use pretest data from a college placement test of the Virginia College & Career Mathematics Proficiencies to identify and work on individual gaps in skills and concepts. Students are post-tested in order for students, parents, and teachers to know potential college course placement and to target next skills. College and Career Navigation, including field experiences, is included.