Algebra 1A

Facilitated by the use of technology, the basic structure of real numbers and functions is covered in this course. Properties of functions and relations are studied. Algebraic skills developed include techniques for the solution of linear sentences and representing distances using absolute value. Mathematical modeling of real-life problems is introduced. Problem solving by construction appropriate linear models and the determination of linear functions to fit data sets are studied.

Algebra 1B

The skills developed in Algebra 1A are expanded to include quadratic functions and their graphs. Additional skills developed include the solution of systems of equations and inequalities, simplification of irrational expressions and complex algebraic fractions, and factoring. Quadratic functions and systems, technology, and statistical techniques are used to construct models for problem solving.

Calculus with Applications A

The introductory topics of this course includes limits and continuity of functions, derivations of functions, and their applications to problems. Students find derivations numerically, represent derivations graphically, and interpret the meaning of a derivations in real world applications. Models of previously studied functions will be analyzed using calculus concepts. This is designated an advanced level course in the honors program.

Calculus with Applications B

The topics developed include the relationship between the derivative and the definite integral. The understanding, properties, and applications of the definite integral are included as students learn to explain solutions to problems. Students will model real-world situations involving rates of change using difference of differential equations. This is designated an advanced level course in the honors program.

Advanced Placement Calculus AB A and B

The topics studied in AP Calculus A and B are those traditionally offered in the first year of calculus in college. Calculus A is the first semester of this preparation for advanced placement in mathematics in college. The topics developed in Calculus A include limits and continuity of functions; derivatives of algebraic functions and their applications in problems involving area, volume, work; differentiation and integration of trigonometric functions; Elementary differential equations. All advanced placement courses are in the honors program.

Advanced Placement Calculus BC A and B

The BC course includes all topics in the AB course, along with the additional topics of series, vectors, polar and parametric functions. Students in BC Calculus generally receive two semesters of Advanced Placement in mathematics.

Consumer Math A & B

Consumer education is combined with the mathematics necessary for making wise consumer decisions. Topics include income, budgeting, purchasing, banking, credit, and investment. Spreadsheets are studied and used in consumer and business applications. Emphasis is placed on the mathematics involved in various careers. The mathematical aspects of taxation, transportation and travel, housing insurance, and the operation of a small business are investigated in this course. Probability and statistics are studies to illustrate business applications. Much of the material is presented in the context of problem-solving situations, and the use of technology is integrated. Materials from daily newspapers, consumer magazines, web sites, and federal publications supplement standard text keep the content relevant and current.

Geometry A

Geometry is studied through the deductive development of relationships in the plane and in space, developed intuitively in previous years. In Geometry A, the indicators include the recognition of geometry's existence in nature and influence in art; developing geometry as a mathematical system; identifying congruent segments and angles in various relationships; using rules about circles chords, secants, and tangent segments; classifying triangles according to side and angle measure; applying rules for parallel and perpendicular lines and for angle measure in triangles; constructing proofs of triangle congruence: identifying solids of revolution and logic. Students can take the course at the honors level.

Geometry B

The indicators of Geometry B extend the formal study of deductive thinking of Geometry A to the use of logic to develop properties of implications, disjunctions, and conjunctions and to applying rules of ratio and proportion to similar triangles; applying the Pythagorean Theorem to right triangles; performing basic geometric constructions; constructing direct and indirect proofs; solving problems involving circle areas and lines; and determining surface area and volume of solids. Students can take the course at the honors level.

Mathematical Approach to Problem Solving 2A

The continued development of essential pre-algebra skills is emphasized in this course. Schools will select from a framework of approved pre-algebra objectives those that will best serve the need of their students. The topics and modules may include Maryland Functional Mathematics Test domains, technology, algebra, geometry, measurement, and statistics units. In identifying categories and objectives to be addressed, students' individual mathematical needs, as well as learning strategies and communication skills, are considered.

Mathematical Approach to Problem Solving 2B

The second semester continues the development of essential pre-algebra skills. Schools will select from a framework of approved pre-algebra objectives those that wilt best serve the needs of their students. The modules continue to include technology, algebra, geometry, measurement, and statistics units. In identifying categories and objectives to be addressed, students' individual mathematical needs, as well as learning strategies and communication skills, are considered.

Precalculus A

Precalculus completes the formal study of the elementary functions taught in Algebra 1 and 2. Students use the mathematical and modeling skills previously developed to study and apply the trigonometric functions. The use of technology and problem solving are emphasized in units covering data analysis, circular functions, and trigonometric inverses and identities. Students will conduct research and write extensively as they prepare for higher levels of mathematics.

Precalculus B

The skills and topics from the first semester study of trigonometry are extended to polar coordinates and complex numbers. Conies and quadratic relations are introduced through a locus definition using polar representation. Discrete functions include the Principal of Mathematical Induction, the Binomial Theorem, and sequences and series, where sequences are represented both explicitly and recursively. An oral and written modeling presentation by students provides culminating synthesis to the concept of function.

Precalculus with Analysis A

The formal study of elementary functions is continued with the introduction of the trigonometric functions, Students apply technology, modeling, and problem solving skills to the study of these functions in units on circular functions, trigonometric identities and inverses, and applications of trigonometric functions. Vectors in two and three dimensions are studied. Problem simulations are explored in multiple representations: algebraic, graphical, and numeric. This is designated an advanced level course in the honors program.

Precalculus with Analysis B

The topics from the first semester study of trigonometry are applied to the study of polar coordinates and complex numbers. Conic sections and quadratic relations are introduced in polar representation and studies in rectangular representations. The concept of limit is applied to discrete functions such as infinite sequences and series and to rational functions. The formal definition of limit is applied to proofs of the continuity of functions and provides a bridge to calculus. An oral and written modeling presentation by students provides culminating synthesis to the concept of function. This is designated an advanced level course in the honors program.

Principles of Geometry and Algebra A

Topics of study integrating the basic concepts of algebra and geometry include using the four fundamental operations with polynomials; factoring polynomials: solving linear equations in one variable; applying angle relationships to geometric figures; classifying various polygons, given their characteristics; and construction geometric figures.

Principles of Geometry and Algebra B

This course continues to integrate algebraic and geometric skills. The topics of study include finding solutions of simple quadratic equations; solving algebraic equations; applying the rules of central and inscribed angles to parts of a circle; determining area and volume relationships of three-dimensional figures; applying the rules of coordinate geometry to determine points, distance between points, and midpoints of segments: solving systems of two linear equations in two variables; and finding solutions to real-life problems involving these topics.

Related Mathematics A & B

These courses reinforces the essential pre-algebra concepts and skills necessary to function in authentic problem solving situations. Emphasis is on skills and applications related to success in algebra. Support of attainment of algebra I objectives is provided.

Statistics & Mathematical Modeling A

Topics of this course include data analysis, probability, simulations, inferential statistics, normal and binomial distributions, techniques of sampling, confidence intervals, and hypothesis testing. Students use exploratory methods to identify patterns and make decisions. By using a hands-on approach and simulations, students gain a strong understanding of statistical concepts. Emphasis is placed on applications and the use of statistics to solve real-life problems. The TI-83 or TI-83 Plus calculator is required for students taking this course.

Statistics & Mathematical Modeling B

Modules presented in this course are chosen from a selections of discrete mathematics topics including cryptography and coding, game theory, graph theory, mathematics and architecture, applications of trigonometry, fairness and apportionment, mathematics and careers, investment and finance, and college placement test review. The course provides an application-based approach to the study of mathematical modeling and provides a bridge from high school mathematics to the mathematical applications commonly encountered in a variety of college disciplines. The TI-83 or TI-83 Plus calculator is required for students taking this course.