Mathematics

The mathematics curriculum has two essential objectives. First, each student is given a thorough grounding in the techniques and structure of the subject so that he will be well prepared for future work at the secondary or college level. Second, because mathematics is growing in importance in both academic and business applications, an effort is made to give each student a sense of the utility and power of the subject and of his own ability and potential for greater future competence.

The first three years of the curriculum include the study of two years of algebra and one of geometry. After Algebra 2, a student has several options. He may continue with Advanced Mathematics, Probability and Statistics, or Precalculus. After successfully completing Precalculus, students may elect to take Honors Calculus or Advanced Placement Calculus.

Students in all grades are required to purchase graphing calculators.  They have unlimited access to Avon's computers.

Algebra 1

Algebra 1 introduces the student to fundamental operations using signed numbers and their elementary applications. Topics covered in the course include grouping techniques, exponents, algebraic fractions, linear and quadratic equations, radicals, graphing, inequalities, and the solution of verbal problems.

Algebra 2 and Trigonometry

This course is a more intensive and extensive study of topics introduced in Algebra 1. The number system is explored in greater detail and extended to the complex numbers. Extensive work is included with equalities, inequalities, absolute value, fractional and negative exponents, radicals, systems of quadratics, and logarithms. Analytic geometry is studied in some detail, and formal work in trigonometry is included.

Geometry

This course has as its objective the study of Euclidean geometry as a formal, logical system. Where possible, excursions are made into three-dimensional figures and elementary analytic geometry. Some review of algebraic materials may be included.

Advanced Mathematics

This course consists of a more thorough treatment of trigonometry and other selected topics in advanced algebra to prepare students for further study in mathematics. Algebra 2 is a prerequisite.

Precalculus

As a prerequisite to Calculus, Precalculus includes a thorough study of the elementary functions: polynomial, rational, trigonometric, exponential, and logarithmic. Sequences, series, and limits are also introduced in order to begin work with differential and integral calculus.

Probability and Statistics

Less rigorous than Pre-Calculus, this course offers the student an opportunity to continue his mathematical studies in new areas. The course begins with an investigation of the fundamental laws of probability and includes such topics as distributions, sampling, regression, estimation, and hypothesis testing.

Departmental Honors

Algebra 1 Honors

This course is designed for students who have demonstrated a strong ability in previous mathematics courses and who wish to pursue upper-level mathematics courses throughout their academic career.  In addition to the topics covered in the regular Algebra 1 course, the honors section studies functions, mathematical modeling, trigonometry, and calculator programming.

Geometry Honors

The honors geometry course begins with a strong development of visualization and drawing skills.  Both algebraic and geometric models are introduced and are used throughout the course.  Proof is developed slowly in the first half of the year.  Various proof formats, including paragraph, flow chart, and two column proofs, are presented.  Students are expected to be actively involved in their own learning.  Manipulatives, constructions, and the computer program Geometer's Sketchpad are also integrated into this course.

Algerbra 2 and Trigonometry Honors

This course is an extensive, fast-moving study of the fundamental principles of algebra, trigonometry, probability, and statistics.  Topics covered include linear equations, functions, polynomials, complex numbers, quadratic equations, and functions.  The honors class will also complete chapters on analytic geometry, exponential functions, trigonometry, sequences, series, and probability.  Students completing this class in good standing are prepared to study pre-calculus.

Precalculus Honors

Designed to prepare the more advanced student for Advanced Placement Calculus, this course focuses on the properties and applications of functions, including an extensive study of the elementary functions covered in the regular section.  A thorough study of limits and continuity is included.  Students also begin their study of calculus with a complete introduction to the derivative.

Calculus Honors

This advanced course is an introduction to the fundamental topics comprising calculus. Algebraic, trigonometric, and transcendental functions are studied in the context of differentiation and integration. A particular emphasis of the course is the use of calculus methods in a variety of applications and problem-solving situations.

Advanced Placement Calculus AB

This calculus course follows the syllabus of the Advanced Placement Examination of the College Board. Topics covered include the theory of limits and the differentiation and integration of algebraic, trigonometric, and transcendental functions. Applications of differential and integral calculus are also discussed.

Advanced Placement Calculus BC

This is a rigorous course that prepares students to take the College Board's Advanced Placement Calculus BC examination in the spring. The course seeks to develop advanced problem solving skills by stressing the application of the concepts covered in the problem solving process. The class requires some vacation assignments. The class moves quickly and covers all the material outlined by the College Board. This course is intended for motivated students who have had success in Precalculus or lower levels of Calculus.

Advanced Placement Statistics

Divided into four major themes, the course begins with an exploration of univariate and bivariate data through the observation of patterns and departures from patterns.  This is followed by a look at the criteria for planning a study, deciding what needs to be measured and how to measure it. The third theme looks at anticipating patterns, producing models using probability theory and simulation.  The course concludes with a study of statistical inference, confirming models using confidence intervals and tests of significance.  Second-year algebra is the minimum prerequisite course for AP Statistics, which is open to qualified juniors and seniors.