Math Department Courses

Geometry with Statistics (GS) offers students the opportunity to build their reasoning and sensemaking skills, see the applicability of mathematics, and prepare more effectively for further studies in algebra. The course also focuses on statistics in analyzing data, which provides students with tools to describe, show, and summarize data in the world around them.  GS builds on and deepens prior understanding of transformations, congruence, similarity, and coordinate geometry concepts. Informal explorations of transformations provide a foundation for more formal considerations of congruence and similarity, including development of criteria for triangle congruence and similarity. This course also further develops students' knowledge of algebraic calculations with specific application to geometry that build on foundations of algebra from seventh and eighth grades. 

This honors-level course is for motivated mathematics students who are candidates for AP Calculus. It includes all topics taught in Geometry w/Statistics at a fast pace and in-depth perspective. Students will be required to work with intensity, at a deep level, and produce a wide range of complex and difficult material.

The study of algebra is inextricably linked to the study of functions, which are fundamental objects in mathematics that model many life situations involving change. Algebra 1 (A1) provides experiences for students to see how mathematics can be used systematically to represent patterns and relationships among numbers and other objects, analyze change, and model everyday events and problems of life and society.  A1 emphasizes functions, including linear, absolute value, quadratic, and exponential; and functions as explicit and recursive. Properties of algebra are applied to convert between forms of expressions and to solve equations (factoring, completing the square, rules of powers, and radicals).  A1 serves as a study of linear, quadratic, exponential, and absolute value functions. Equations and expressions with linear and quadratic terms are also studied to learn how algebraic expressions model real-world situations. Statistical reasoning is studied to learn how data are represented and interpreted and how models, particularly linear, can be used to make predictions.

This honors-level course is for motivated mathematics students who are candidates for AP Calculus. It includes all topics taught in Algebra 1 at a fast pace and in-depth perspective. Students will be required to work with intensity, at a deep level, and produce a wide range of complex and difficult material.

Applications and Modeling is designed to engage students in doing, thinking about, and discussing mathematics, statistics, and modeling in everyday life. It allows students to experience mathematics and its applications in a variety of ways that promote financial literacy and career-based decision making.  In this course, students explore decision making for financial planning and management, design in three dimensions, interpret statistical studies, and create functions that model problems faced by society. Measurements are taken from the real world, and technology is used extensively for computation, with an emphasis on students’ interpretation and explanation of results in context.

Reasoning in Mathematics (RM) engages students in relevant problems that focus on how mathematics and statistics inform decision making. It prepares students for post-secondary options with instruction that focuses on modeling real-world situations. RM emphasizes statistics, quantitative reasoning, modeling, and financial applications and features a variety of mathematical and statistical tools useful for decision making. Students will make sense of authentic problems and persevere in solving them. They will reason abstractly and quantitatively while communicating mathematics to others. Students will use appropriate tools, including technology, to model mathematics. Students will use structure and regularity of reasoning to describe mathematical situations and solve problems.

Algebra 2 with Probability (A2P) serves to deepen understanding and intuition about a wide variety of functions such as polynomial, rational, radical, exponential, and piecewise. Building on principles learned from Geometry and Algebra 1, the purpose of this course is to graphically investigate and compare functions, analyze rates of change, and determine solutions of “real-world” problems at a higher conceptual level than can be achieved algebraically.  In addition to increasing student knowledge of “parent functions,” A2P also includes the study of complex numbers, matrices, and probability. The study of complex numbers introduces students to the complex number system and its impact on solutions of equations. Matrices provide a method for students to organize, store, and mathematically work with large amounts of data. A2P will concentrate on using small data sets. Finally, the study of probability will continue the study of data, probability, and statistical reasoning units that began in Geometry.

This honors-level course is for motivated mathematics students who are candidates for AP Calculus. It includes all topics taught in Algebra 2 w/Probability at a fast pace and in-depth perspective. Students will be required to work with intensity, at a deep level, and produce a wide range of complex and difficult material.

Pre-Calculus (PC) serves as a study of piecewise, rational, radical, exponential, logarithmic, and trigonometric functions. Furthermore, the course addresses the study of polar coordinates, conic sections, vectors, and matrices. Mathematical modeling for solving real-world situations and the use of technological tools such as computer algebra systems and spreadsheets are standard instructional practices for addressing the standards.

This honors-level course is for motivated mathematics students who are candidates for AP Calculus. It includes all topics taught in Pre-Calculus at a fast pace and in-depth perspective. Students will be required to work with intensity, at a deep level, and produce a wide range of complex and difficult material.

Statistical Modeling (SM) is a newly designed course that extends students’ understanding of statistics. The SM course offers students opportunities to strengthen their understanding of the statistical method of inquiry and statistical simulations. Students will formulate statistical investigative questions to be answered using data, design and implement a plan to collect the appropriate data, select appropriate graphical and numerical methods for data analysis, and interpret their results to make connections with the initial question. The process standards, through a statistical lens, will provide the foundation for instruction and assessment. Topics will be introduced and assessed using simulations and appropriate supporting technology.

Discrete Mathematics (DM) is a collection of methods for studying big data analytics. It includes the study of the principles of number theory, classification and comparison of objects, use of matrices to model and solve problems, use of a recursion model, analysis of numbers with different bases, data probability and statistical reasoning in real-world situations, use of graph theory, and the principles of logic theory. DM stresses the connections between contemporary mathematics and their applications to our daily lives.

DM provides tools for understanding and using inference systems for drawing reasonable conclusions and algorithms for scaling computations and for managing large-scale data.

Topics addressed in DM are applicable to real-world career fields such as the field of computer science and situations that include management sciences, statistics, voting and social choice, fairness and game theory, size and growth, and money and resources. Environmental and economic decisions dominate modern life, and behind these decisions are fundamental principles of science, technology, and mathematics.

This course (C) offers a  multi-representational approach to calculus with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. These representations facilitate an understanding of the connections among limits, derivatives, and integrals.

The Calculus Honors course is designed to introduce high school students to the foundational concepts of calculus, preparing them for college-level mathematics. Topics covered include limits, derivatives, definite and indefinite integrals, and the Fundamental Theorem of Calculus. Through this course, students will explore key ideas of change, accumulation, and area under curves, providing a strong mathematical foundation that bridges the gap from high school math to college calculus. Emphasis will be placed on both conceptual understanding and problem-solving skills

AP Calculus AB is a rigorous, college-level course that covers topics in both differential and integral calculus. Equivalent to a first-semester college calculus course, it focuses on limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. Students will develop a deep understanding of these concepts and learn to approach problems from multiple perspectives—graphically, numerically, analytically, and verbally. The course emphasizes the use of technology to solve problems, explore concepts, interpret results, and support conclusions. By making connections among different representations of calculus, students will be well-prepared for the AP exam and future studies in mathematics.