Prealgebra

This course has four main themes: sets of numbers and applied arithmetic, basic algebra skills, geometry and measurement, and basic statistics. These themes are interwoven with a common emphasis on how mathematics is used in the real world.

Prealgebra Enriched*

This course covers the same topics as Prealgebra, though students are asked to consider the concepts with a more sophisticated perspective. The course includes additional topics that emphasize a wider variety of mathematical ideas and problem-solving experiences. (Prerequisite: proficiency test and departmental approval)

Algebra 1

This course starts with a review of elementary algebraic manipulations and operations with rational numbers. The students then explore equations, inequalities, and modeling with linear, absolute value, quadratic, and exponential functions. Throughout the course there is an emphasis on relating graphs to algebraic statements. (Prerequisite: Prealgebra or Prealgebra Enriched)

Algebra 1 Enriched*

This course offers a more intensive look into the topics of Algebra 1 and moves at a faster pace. The course also considers more challenging problems and explores additional topics. (Prerequisite: Prealgebra or Prealgebra Enriched and departmental approval)

Geometry

In this course, students study the structure of a logical system, develop deductive reasoning skills, and learn to write formal proofs. There is a strong focus on visualization and problem-solving methods in the application of geometric ideas. Instruction integrates coordinate approaches to geometry and reinforces and applies knowledge of algebra. (Prerequisite: Algebra 1 or Algebra 1 Enriched)

Geometry Enriched*

This course includes the same topics as Geometry as well as additional concepts. Considerable attention is given to the integration of algebra and geometry. Students also undertake independent problem solving and exploration as they discover new ideas and engage in enrichment activities. (Prerequisite: Algebra 1 or Algebra 1 Enriched and departmental approval)

Algebra 2

In this course, students build on skills acquired in Algebra 1, revisiting and expanding on their understanding of linear, absolute value, quadratic, and exponential functions. In addition, rational and radical functions are introduced, and the students study irrational and complex numbers. There is a continued emphasis on applying skills and concepts to real-world situations. A graphing calculator is required. (Prerequisite: Geometry or Geometry Enriched. Algebra 2 may be taken concurrently with Geometry, subject to departmental approval.)

Algebra 2 Enriched*

The idea of the function is central to this course, and students develop their facility with algebraic techniques as they expand their repertoire of functions to include polynomial, rational, radical, exponential, logarithmic, and trigonometric functions. Students acquire more advanced  techniques for problem solving and develop a conceptual understanding of the behavior of all of the elementary functions through their equations, their graphs, and their applications. A graphing calculator is required. (Prerequisite: Geometry or Geometry Enriched and departmental approval)

Algebra 2 Accelerated*

This course covers the same topics as Algebra 2 Enriched but looks deeper into them and requires more independent work, helping students develop a foundation for exploring mathematical problems and ideas in a more sophisticated way. A graphing calculator is required. (Prerequisite: Geometry or Geometry Enriched and departmental approval)

Precalculus

This course continues the study of linear, absolute value, quadratic, exponential, radical, and rational functions and introduces logarithmic functions and trigonometry. Additionally, it includes topics from probability, combinatorics, sequences and series, and introductory statistics. The modeling of real world phenomena is emphasized throughout the course. A graphing calculator is required. (Prerequisite: Algebra 2 or Algebra 2 Enriched)

Precalculus Enriched*

This course continues to expand on the concept of a function and revisits all of the fundamental families of functions and their applications using both algebraic and graphical approaches. Students also undertake a more advanced study of trigonometry and cover topics such as analytical geometry, polar coordinates, and sequences and series. A graphing calculator is required. (Prerequisite: Algebra 2 Enriched or Precalculus and departmental approval)

Precalculus Accelerated*

Precalculus Accelerated is an accelerated version of Precalculus Enriched. During the first three quarters of the year, students explore familiar topics more deeply, extend them, and use them as a starting point for new topics. The course then spends the final quarter studying differential calculus in preparation for the following year’s course in AP® Calculus BC, beginning with limits and continuing with derivatives and applications of differentiation. A graphing calculator is required. (Prerequisite: Algebra 2 Accelerated and departmental approval)

AP® Statistics*

This course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students learn to describe patterns and recognize anomalies, plan and conduct studies and experiments, explore random phenomena using probability and simulation, estimate population parameters, and test hypotheses. This course prepares students for the AP® Statistics examination. A graphing calculator is required. (Prerequisite: Precalculus, Precalculus Enriched, or Precalculus Accelerated and departmental approval)

Linear Algebra Honors*

Term I, ½ credit

This term elective is an introduction to a major field in mathematics that investigates systems of equations, matrix algebra, and matrix transformations of vector spaces. When appropriate, applications are brought in to highlight the power and usefulness of these ideas. (Prerequisite: AP® Calculus BC or Topics in Intermediate Calculus Honors; concurrent enrollment with departmental approval)

Multivariable Calculus Honors*

Term II, ½ credit

This term elective extends the ideas of calculus from the real line into two- and three-dimensional domains. After extending the notions of derivatives and integrals, the course focuses on the rudiments of vector calculus necessary to understand the central theorems regarding the divergence, the curl and the gradient of a function. (Prerequisite: AP® Calculus BC or Topics in Intermediate Calculus Honors; concurrent enrollment with departmental approval)

Mathematics Honors Seminar*

Term I & Term II, ½ credit

This course is designed for those students who have successfully completed Linear Algebra Honors and Multivariable Calculus Honors. The college-level topics are chosen according to the interests of the students and the instructor and may include subjects such as Differential Equations, Dynamical Systems and Chaos, Number Theory, Complex Analysis, Topology, Combinatorics, or the History of Mathematics. Faithful to the idea of a seminar, the course requires students to be responsible for much of the mathematical inquiry. They may be expected to write papers, give presentations, create class investigations, solve problem sets, and lead class discussions. Students may not enroll for Term II without enrolling in Term I. (Prerequisites: Linear Algebra Honors and Multivariable Calculus Honors; concurrent enrollment with departmental approval)

Calculus 1 & 2 Accelerated (renaming AP Calculus BC)

Full Year, 1 credit

The course includes a thorough treatment of differential and integral calculus, as well as topics in differential equations, analytic geometry and power series representations of functions. A graphing calculator is required. With some independent study, students can be prepared to take the  AP® Calculus BC exam in May. (Prerequisite: Precalculus Accelerated and departmental approval)

**we anticipate that AB and BC calculus exams will continue to be offered on campus until May 2027

Calculus 1 Enriched 

 Full Year, 1 credit

Calculus 2 Enriched (renaming Honors Intermediate Calculus)

Full Year, 1 credit

Introduction to Calculus

This course is a follow-up to Precalculus. It provides a continued emphasis on the development of functions as well as an enhanced study of polynomials, an introduction to matrices, and an in-depth exploration of trigonometry. Students also begin a study of differential calculus with an introduction to limits and derivatives. A graphing calculator is required. Students who complete Introduction to Calculus may sign up for Topics in Statistics, AP® Statistics, or AP® Calculus AB, with departmental approval. (Prerequisite: Precalculus and departmental approval. Students who have completed Precalculus Enriched may sign up for Introduction to Calculus only with departmental approval)  

Linear Algebra Honors*

Term I, ½ credit

This term elective is an introduction to a major field in mathematics that investigates systems of equations, matrix algebra, and matrix transformations of vector spaces. When appropriate, applications are brought in to highlight the power and usefulness of these ideas. (Prerequisite: AP® Calculus BC or Topics in Intermediate Calculus Honors; concurrent enrollment with departmental approval)

Multivariable Calculus Honors*

Term II, ½ credit

This term elective extends the ideas of calculus from the real line into two- and three-dimensional domains. After extending the notions of derivatives and integrals, the course focuses on the rudiments of vector calculus necessary to understand the central theorems regarding the divergence, the curl and the gradient of a function. (Prerequisite: AP® Calculus BC or Topics in Intermediate Calculus Honors; concurrent enrollment with departmental approval)

Topics in Statistics 

This course offers students an opportunity to explore statistical topics and reasoning. Topics vary but include data collection strategies and techniques, visual summaries of data, interpretation of numerical summaries, survey design, simulation and decision making based on data. A graphing calculator is required. (Corequisite: PreCalculus or departmental approval)