__Algebra I
__Grade: 9 – 12

Prerequisites: Student must pass the eight-grade math with a B or better average.

**Course Description for Algebra 1
Students in Algebra 1 are expected to achieve the objectives of the SOL’s of Virginia. In the course, students make connections among arithmetic, geometry, and probability and statistics. Connections are also made to the other subject areas through practical applications. Students come to attach meaning to the abstract concepts of Algebra. Students are required to use Algebra as a tool for representing and solving a variety of practical problems. Tables and graphs are used to interpret algebraic expressions, equations, and inequalities and to analyze functions. Students use calculators to assist in problem solving. In the course, students are encouraged to discuss mathematics, use the language and symbols of mathematics to communicate, discuss problems and problem solving, and develop confidence in mathematics.
The topics covered in Algebra 1 are:**

**Expressions and Operations****Relations and Functions****Solving Equations and Inequalities in One Variable****Linear Equations and Slope****Graphing Linear Inequalities****Solving Systems of Equations and Inequalities****Laws of Exponents****Adding, Subtracting, and Multiplying Polynomials****Factoring Polynomials****Graphing and Solving Quadratic Equations****Simplifying Square Roots and Cube Roots****Z-scores**

__Geometry
__Grade: 9 – 12

Prerequisite: Pass Algebra I Part II/ Algebra I.

This course is a study in basic geometry covering such topics as reasoning and
proof, parallel lines and triangles, congruent and similar triangles, polygons
and quadrilaterals, coordinate geometry, area, circles, surface area and volume,
and transformational geometry.

__Geometry Honors
__Grade: 9-12

Prerequisite: Pass Algebra I with a B or better average or pass the Algebra I SOL test.

This
course stresses the basic structures of geometry and the development of formal
proofs. Theorems and postulates deal with relationships among the basic elements
of space: the point, the line, and the plane. There is an equal emphasis on
concept understanding and concept applications in formal proofs. Course also
deals with trigonometry, area and volume, constructions, coordinate geometry and
transformations.

Algebra, Functions and Data Analysis - Grade: 11-12

Course Description for Algebra, Functions and Data Analysis (AFDA)

This course is designed for students who have successfully completed Algebra 1 and Geometry. Within the context of mathematical modeling and data analysis, students will study functions and their behaviors, systems of inequalities, probability, experimental design and implementation, and analysis of data. Data will be generated by practical applications arising from science, business, and finance. Through the investigation of mathematical models and interpretation and analysis of data from real life situations, students will strengthen conceptual understandings in mathematics and further develop connections between algebra and statistics.

__Algebra II
__Grade: 10 – 12

Prerequisite: Students must have had at least a B in Algebra 1 and Geometry and they must have passed the SOL tests for both Algebra 1 and Geometry.

Students study advanced algebraic concepts through functions, polynomials, rational expressions, complex numbers, matrices, and sequences and series. Emphasis is placed on practical application and modeling. Oral and written communication concerning the language of algebra, logic of procedures, and interpretation of results are studied. Students study graphing functions using a transformational approach, including translation, reflections, dilation, and rotation to generalize a family of graphs from a given graph. They study the close relationship between algebraic concepts and graphic representations of functions. They also vary the coefficients and constants and an equation, observe the changes in the graph of an equation, and formulate generalizations that can be applied to many graphs. The graphics calculator, computer, textbook, and appropriate videos are the major resources. Evaluations of student's knowledge will be conducted on a regular basis by means of tests, quizzes, homework, class work and projects.

__Algebra II Honors
__Grade: 10 – 12

Prerequisite: Students must have had at least a B in Algebra 1 and Geometry and they must have passed the SOL tests for both Algebra 1 and Geometry.

Students study advanced algebraic concepts through functions, polynomials, rational expressions, complex numbers, matrices, and sequences and series. Emphasis is placed on practical application and modeling. Oral and written communication concerning the language of algebra, logic of procedures, and interpretation of results are studied. Students study graphing functions using a transformational approach, including translation, reflections, dilation, and rotation to generalize a family of graphs from a given graph. They study the close relationship between algebraic concepts and graphic representations of functions. They also vary the coefficients and constants and an equation, observe the changes in the graph of an equation, and formulate generalizations that can be applied to many graphs. The graphics calculator, computer, textbook, and appropriate videos are the major resources. Evaluations of student's knowledge will be conducted on a regular basis by means of tests, quizzes, homework, class work and projects.

__Trigonometry/Analysis__

Prerequisite: Pass Algebra II with a C or better average and pass the Algebra II SOL test.

This
course is divided into two semesters of study. The first semester includes the
introduction of trigonometry with emphasis of the following topics: basic
circular functions, graphs of circular functions, inverses of circular functions
and their graphs, and trigonometric functions. The second semester includes the
study of the following topics: vectors, analytic geometry of points and lines,
coordinate geometry of conic sections, exponential and logarithmic functions, and complex numbers.

Statistics - Grade: 11-12

Prerequisite: Upon entering this course, students are expected to have quantitative reasoning ability and complete working knowledge of the graphical and algebraic concepts through Algebra 2, including linear, quadratic, exponential, and logarithmic functions.

*Students enrolled in this class *are assumed to have mastered the concepts identified in the Standards of Learning for Algebra II. The purpose of the course is to present basic concepts and techniques for collecting and analyzing data, drawing conclusions, and making predictions.

**Calculus (In-house) **- **Grade: 11-12 **

**Prerequisite: Pre-Calculus or Trigonometry with a B or better and pass Algebra 2 SOL test**

**This course is divided into 2 parts. The first part presents limits, continuity, differentiation of algebraic and transcendental functions with applications. The second part covers techniques of integration, multivariable calculus and an introduction to differential equations.**

Pre-Calculus (In-house) - **Grade: 11-12 **

Presents college algebra, matrices, and algebraic, exponential, and logarithmic functions.

Mathematics Capstone - Grade: 12

Prerequisites for the 12th-grade (senior level) course include earning at least two verified credits in mathematics, and satisfactory completion of either Algebra, Functions, and Data Analysis or Algebra II. Students seeking the Advanced Studies Diploma, whose course sequences include the Mathematics Capstone course, must also take Algebra II.

Utilizing a qualifying placement score from the Virginia Placement Test, VPT, students will complete Math Essentials credentials as defined by the Virginia Community College system. Successful completion of the Math Essentials courses will prepare students for entry level mathematics courses available in the Virginia Community College system.

Taught Virtually Through Fiber Optics:

__Pre-Calculus
__

Prerequisite: Pass Algebra II with a B or better average and pass the Algebra II SOL test. Also, be enrolled in or have completed Trigonometry with a C or better average.

This course includes the study of
linear functions and relations, theory of equations, matrices and vectors,
sequences and series, polar coordinates and complex numbers, limits,
derivatives, integrals, and probability.

AP Calculus

Prerequisite: Completed through Trigonometry with
an A or B average. Pass the entrance test administrated
through

This course is designed to meet the
requirements of the Advanced Placement program. A student needs a strong
background in algebra, geometry, and analysis before attempting this course.
Some of the topics studied are functions, conics, trigonometry, derivatives of
polynomial and trigonometric functions, polar coordinates, partial functions,
parametric equations, and various application problems. Also studies are
integrations of polynomial and trigonometric equations.

VHCC Engineering
Calculus (Dual Enrollment)

Prerequisite: Presents analytic geometry and the calculus of
algebraic and transcendental functions including the study if limits,

VHCC Basic Applied Calculus (Dual Enrollment)

Prerequisite: Present limits, continuity, differentiation of
algebraic and transcendental function functions with applications, and an
introduction to integration.