The math department strives to provide opportunities for students to explore and apply mathematical concepts. Graduates from Vermont Academy should be comfortable with the accepted, established notation, vocabulary, mechanics, and processes that define high school mathematics. They will also have had opportunities to express themselves creatively and to explore topics of interest using the tools they’ve developed. We assess mastery of mathematics in a variety of ways, from standardized assessments that focus on mathematical accuracy to individualized evaluations of application, problem-solving, and creative thinking.
Prerequisites: Permission of the department. Students must be prepared to complete independent college-level work. This course is occasionally offered as an independent exploration into further topics within Mathematics. It is currently incorporated under the umbrella of “Senior Seminar,” which is a student-initiated and guided research format that requires department approval.
Prerequisites: This course is open to all entering 9th graders and others by recommendation of the department.
The focus of Algebra 1 is linear relationships. After solidifying pre-algebra concepts, students will explore linear relationships by visualizing and describing data; interpreting graphs and charts; creating scatterplots; interpreting, identifying, manipulating, and solving linear equations; developing the concept of a function; interpreting and solving linear systems; defining linear inequalities; investigating arithmetic sequences, and performing linear regressions. The concept of rate of change will be emphasized throughout.
Students hoping to take Algebra 2 and Geometry simultaneously must have earned at least a B+ in Algebra 1. Prerequisites: successful completion of Algebra 1.
Algebra 2 strengthens understanding of linear relationships by incorporating technology and developing more advanced algebraic techniques. Linear functions are understood as a process of repeated addition in order to introduce exponential growth (and decay) as a process of repeated multiplication. Logarithms are introduced as the inverse of exponential expressions. The mechanics of exponents are emphasized. The common function families are explored with an emphasis on quadratics.
Prerequisites: Successful completion of AP Calculus (AB) or Honors Pre-Calculus with permission of the department. All students in the course are required to take the AP exam at the end of the year and pay the corresponding test fee.
This course follows the Advanced Placement Calculus (BC) curriculum. It covers and builds upon the same material as AP Calculus (AB). Advanced derivative and integration techniques are developed. Students extend the derivative and integral concepts to parametric equations and the polar coordinate system. Infinite polynomial functions are introduced as a tool for efficiently approximating and evaluating other functions.
Prerequisites: Successful completion of Pre-Calculus with permission of the department.
This year-long class develops and explores the concepts and applications of derivatives and second derivatives. Students will build on techniques and concepts acquired in algebra, geometry, and pre-calculus, and will investigate connections between calculus and other disciplines like physics and economics.
Prerequisites: Successful completion of Algebra 1 or by recommendation of the department. Students hoping to take Algebra 2 and Geometry simultaneously must have earned at least a B+ in Algebra 1.
Students build their critical thinking and problem-solving skills through the lens of Geometry. They learn to recognize and work with geometric concepts in various contexts. They develop an understanding of the Euclidean coordinate plane and solid geometry through inductive and deductive reasoning and logic. Students use visualizations, spatial reasoning, and geometric modeling to develop formulas and solve problems. Topics of study include points, lines, angles, the properties of triangles, quadrilaterals, other polygons, circles, geometric constructions, proportions, and an introduction to trigonometry. Throughout the course, students will consistently make use of skills previously mastered in Algebra 1.
Prerequisites: Students applying for the Honors section must have earned at least a B+ in Geometry and obtain the permission of the department.
This course has all of the content of Algebra 2 and more. The course aims to develop problem-solving skills by exploring the connections between concepts and by emphasizing the communication of mathematical ideas. The nature and application of a variety of functions will be explored. Students should expect homework assignments to include reading and learning new material independently prior to attending class.
Prerequisites: successful completion of Algebra 1 or by recommendation of the department.
This course follows the description of the traditional course at a more rapid pace, in more depth, and with more connections made to algebra topics. A greater emphasis will be placed on developing ideas collaboratively through the problem-solving process, often before any formal postulates or theorems are presented. Students will devise, present, and defend rigorous geometric proofs.
Prerequisites: Successful completion of Geometry and Honors Algebra 2.
This accelerated course is designed for students interested in pursuing a math-related curriculum in college. Topics include functions, series, sequences, matrices, complex numbers, conic sections, polar and parametric equations, linear regression, vectors, applications of trigonometry, and an introduction to calculus. Successful completion of this class will prepare students to take AP Calculus (BC).
Prerequisites: Successful completion of Honors Algebra 2 or Pre-Calculus. No previous experience with computer coding is required.
This course extends beyond introductory probability and statistics to introduce confidence intervals and hypothesis testing for categorical and quantitative data. The statistical programming language R will be introduced and integrated throughout the year, especially to facilitate the process of running statistical simulations.
Prerequisites: This course is available to seniors and postgraduates only. Students must have successfully completed Geometry and Algebra 2. This year-long course introduces and reinforces the concepts and methodologies of probability and statistics with experience- and project-based approaches. Students will learn to recognize how and where these branches of mathematics manifest in the modern world and how they are misused and misunderstood.
Prerequisites: Successful completion of Geometry and Algebra 2.
This course is designed for the mathematics/science student preparing for AP or college-level mathematics. Students will explore algebraic and transcendental functions (with an emphasis on trigonometric functions) in terms of tables, formulas, graphs, and their application. Students will strengthen their ability to communicate mathematical ideas clearly and effectively and employ various technologies to develop and demonstrate their ideas. Successful completion of this class will prepare students to take AP Calculus (AB).
Department Faculty
RussellMayhew
Math Department Chair
(802) 869 1481
Indiana University - BA Northwestern University - MSEd