Algebra 1 is designed to analyze and model real-world phenomena. Exploration of linear, exponential, and quadratic functions forms the foundation of the course. Key characteristics and representations of functions--graphic, numeric, symbolic, and verbal--are analyzed and compared. Students develop fluency in solving equations and inequalities. One- and two-variable data sets are interpreted using mathematical models.

Geometry formalizes and extends students geometric experiences from the elementary and middle school grades. Students explore more complex geometric situations and deepen their understanding of geometric relationships, progressing toward formal mathematical arguments. Instruction at this level will focus on the understanding and application of congruence as a basis for developing formal proofs; the relationships among similarity, trigonometry and triangles; the relationships between two- and three-dimensional objects and their measurements; exploration of geometric descriptions and equations for conic sections; and application of geometric concepts in modeling situations. 

In Algebra 2, students build on their Algebra 1 knowledge of linear, quadratic, and exponential functions and extend their repertoire to include polynomial, rational, radical, exponential, and logarithmic functions. Students continue to use mathematical models to solve real-world problems. They use the coordinate plane to apply trigonometry in modeling periodic phenomena. Students synthesize and generalize what they have learned about a variety of function families and explore the effect of transformations on the graphs of diverse functions. Students will also study topics in probability and statistics. 

Students in Two-year Algebra 2 study the same content with the same rigor as for the one-year Algebra 2 course, with more time allocated for concept development, procedural fluency, and student support. Students build on their Algebra 1 knowledge of linear, quadratic, and exponential functions and extend their understanding to include polynomial, rational, radical, exponential, and logarithmic functions. Students synthesize and generalize what they have learned about a variety of function families and explore the effect of transformations on the graphs of diverse functions. Students use mathematical models to solve real-world problems and use the coordinate plane to apply trigonometry in modeling periodic phenomena. In addition, students study topics in probability and statistics. 

PreCalculus courses combine the study of Trigonometry Elementary Functions Analytic Geometry and Math Analysis topics as preparation for calculus Topics typically include the study of complex numbers polynomial logarithmic exponential rational right trigonometric and circular functions and their relations inverses and graphs trigonometric identities and equations solutions of right and oblique triangles vectors the polar coordinate system conic sections Boolean algebra and symbolic logic mathematical induction matrix algebra sequences and series and limits and continuity 

Precalculus completes the formal study of the elementary functions begun in Algebra 1 and Algebra 2. Students focus on the use of technology, modeling, and problem solving. Functions studied include polynomial, exponential, logarithmic, rational, radical, piece-wise, and trigonometric and circular functions and their inverses. Parametric equations, vectors, and infinite sequences and series are also studied. 

Honors Statistics A/B is a two-semester course that provides preparation to maximize the potential for success in an AP Statistics or a college statistics course. Topics include data analysis, probability, simulations, inferential statistics, normal and binomial distribution, techniques of sampling, confidence intervals, and hypothesis testing. Students use exploratory methods to identify patterns and make decisions. Emphasis is placed on applications and the use of statistics to solve real-life problems. 

AP Statistics students engage in the exploratory analysis of data, using graphical and numerical techniques. Data sets are collected using statistical design methods. Students produce appropriate models using probability, simulation, and statistical inference. Models are used to draw conclusions from data and analyzed by inferential methods to determine whether the data support or discredit the model. This course is equivalent to a non-calculus-based introductory college statistics course. 

Calculus with Applications topics include limits, continuity, and derivatives of functions, the definite integral, and their real-world applications. Students find and apply derivatives numerically, graphically, and symbolically. Previously studied functions will be analyzed using calculus concepts. The relationship between the derivative and the definite integral is developed. Students will model real-world situations involving rates of change using difference or differential equations. 

Calculus AB topics are those traditionally offered in the first year of calculus in college, and are designed for students who wish to obtain a semester of AP in college. The topics studied include limits, continuity, derivatives and integrals of algebraic and transcendental functions and their applications, and elementary differential equations. Calculus BC includes all of the topics in Calculus AB, as well as convergence tests for series, Taylor or Maclaurin series, vector, polar, and parametric functions. Students in BC Calculus may receive two semesters of AP in mathematics. 

This course is designed to enhance students' abilities in mathematical decision-making and financial literacy. Topics in mathematical decision-making include issues in health and social sciences, fair division, apportionment, and the mathematics of chance. Financial literacy topics include individual budgeting, investing, credit, and loans. Also including are business topics including starting and maintaining a business. Emphasis is on the mathematical aspects of the topics. 

Statistics and Mathematical Modeling (SAMM) semester A topics are chosen from cryptography and coding, game and graph theory, architecture, trigonometry, fairness and apportionment, careers, investment and finance, and college placement test review. topics include data analysis, probability, simulations, inferential statistics, normal and binomial distributions, techniques of sampling, confidence intervals, and hypotheses testing. Semester B topics include data analysis, probability, simulations, inferential statistics, normal and binomial distributions, techniques of sampling, confidence intervals, and hypotheses testing. 

Mathematical Approach to Problem Solving (MAPS) is designed for students who need additional instruction prior to taking Algebra 1. It is primarily for students who have had an interrupted education (e.g., coming to MCPS from out of state or country). Calculators and computers are used in problem-solving situations and in the development of number, algebra, geometry, measurement, probability, and statistics concepts and skills.