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Mathematics courses at Buxton are designed to encourage students to develop their capacities for logical thinking. Our aim is not only to prepare those students whose career plans require high-level mathematical knowledge, but also to help every student acquire analytical reasoning skills that will assist them in all areas of life. By requiring students to complete math classes through Algebra II, they are prepared for future opportunities such as taking chemistry or physics; choosing further study in pre-calculus, calculus and advanced calculus; and tackling whatever mathematical needs they may face in other disciplines. In our math classes, students increase their sense of excitement while building aptitude. All students are required to take three years of math.
Students entering Buxton enroll in math courses based on their experience, not on age or grade level. As the semester progresses, there is flexibility to alter the course they have chosen if it proves to be too demanding or not challenging enough for a student’s skill level.
(full 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.
(full year)
Some of the major theorems of calculus will be examined in this yearlong course, along with their proofs and their significance, including Green’s Theorem, Stokes’ Theorem, and Gauss’s Theorem. Time will be spent developing some of the tools needed for these proofs and moving deeper into mathematical topics, such as differentiation and integration with polar, spherical, and cylindrical coordinates. Other topics to be covered include Taylor’s formula and its derivation, vector functions, and proofs of fundamental concepts (continuity, convergence). A year of calculus is required for this class.
(full year)
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.
(full year)
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.
(full year)
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.
(full year)
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. Students have the opportunity to pursue a number of independent projects throughout the year.
(full year)
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.
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