This course provides an introduction to algebraic properties and expressions. Topics include the study of equations and inequalities in one variable, work with polynomials and exponents, and graphing of linear equations. Students also begin solving and graphing systems of linear equations. A brief introduction to quadratic forms is included.

This is a second-year high-school algebra course designed to develop proficiency in mathematical skills, to solidify an understanding of mathematical concepts, and to encourage logical yet creative thinking. Class sizes are kept small so that students have every opportunity to achieve success and gain confidence in their ability to do mathematics.

This course is offered to advanced students who thoroughly enjoy the application of complex mathematical concepts. The primary function is to demonstrate the enjoyment that is present in higher-level mathematics.

As with most calculus courses, the first term concentrates on differential calculus and the second on integral calculus. Although there is some emphasis on application, a secure grasp of the fundamental concepts is also stressed.

This course is designed to introduce students to the wide world of analyzing data mathematically. We will study probability and its implications, data entry and analysis, and statistical methods. We will be analyzing real data from studies found across the media to verify and more carefully dissect their claims. This will likely be a full year class with significant hands on material, and will be sufficient for any student needing further math credits in high school. There will be numerous projects and assignments, but no tests or textbook.

Geometrical relationships and the structures of logic are the two main themes of this course. The topics are explored in such a way that students discover and define the fundamental relationships as a class throughout the year. The basics of plane geometry and symmetry are covered, along with an introduction to the geometry of the solids and beginning trigonometry. Deductive and inductive reasoning are woven in throughout the topics, thus developing a system of logical thought that is intended to contribute, not only to other math and science courses, but to all areas of study.

Designed to prepare students for college-level calculus, this is a fast-paced course. Questions are continually asked that go beyond the immediate problem being examined. Topics covered include graphing techniques, trigonometry, vectors, conic sections, transcendental functions, polar coordinates, and sequences and series.

There is an introduction to the concepts of calculus at the end of the year.

This class will explore linear, quadratic, exponential and logarithmic functions. Students will learn right triangle trigonometry and the unit circle. The purpose of this class is to establish thorough knowledge of trigonometric functions and their applications.

This class explores the idea that learning can be understood simply as the process of finding the solutions to a series of puzzles. We will look specifically as to how this idea applies in the area of mathematics by solving, talking about, and creating a variety of puzzles. Using logic, number, and word puzzles, platform puzzlers, puzzle video games, Escape the Room, Rubik’s cubes, geocaching, and more, we will seek an understanding of what drives individuals to want to solve puzzles and how that relates to learning mathematical concepts.

Open to all students who have completed Algebra I and Geometry.

This is an intense course designed to supplement and augment the introductory calculus course at Buxton, and then to push beyond into the world of multivariable functions and spaces. It is fast paced and rigorous, and will expect a lot (and teach a lot) to students. We will study partial differentiation, multiple integration, line and surface integrals, gradient, divergence, and curl and their corresponding theorems. It is an exciting take on a very serious university level course, and once completed will allow students to go significantly farther in math, science, and engineering if they so choose.