Math

Algebra I

Emphasizing problem solving and application of basic concepts and skills to real-life situations, Algebra I helps students develop skills in working with linear and quadratic equation, polynomials, problem solving, factoring and graphing.

Geometry

In Geometry students learn about the axiomatic system and how to use inductive and deductive reasoning in proofs to demonstrate problem solving skills. Students learn the properties of various shapes and how to describe these shapes through vocabulary, classifications and measurements. With the help of Geometer’s Sketchpad, students use visualization to help with problem solving

Algebra II

Algebra II focuses on concepts and skills needed to master linear equations and inequalities, matrices, functions, quadratics and polynomials, exponential and logarithmic functions, rational functions, complex numbers, right angle trigonometry and sequences and series. The course emphasizes application of concepts and skills to real-life situations.

Algebra III

In Algebra III students gain an understanding of functions and graphs, especially logarithms and exponential functions. They learn to use the graphing calculator, systems of equations, and logarithms and exponents to solve problems. They also learn the basic trigonometric ratios to solve for side lengths and angle measures.

Financial Mathematics

The primary goal of this course is to learn about the mathematical tools that are used to evaluate financial decisions, especially as they apply to alternatives for saving, investing, and borrowing money. To this end students will study bookkeeping practices, common models of interest accumulation, auto and home loans, the stock market, property insurance, and other topics. A second goal of the course is for each student to be able to articulate a philosophy of personal money management.

Math Analysis

Students prepare for continued math study by studying functions, exponents and logarithms, analytical geometry, and an introduction to limits and calculus.

Trigonometry

Students in Trigonometry learn radian measure and how to think in both radians and degrees for the purpose of problem solving. Students learn to solve practical problems using trigonometric properties and identities and to understand their derivations.

Statistics

This is a course in quantitative decision-making. Students analyze how statistics are produced and used (and sometimes misused) in business, government, psychology, law, sports, medicine and other fields, with an emphasis on how statistical information can be communicated in everyday language. The main topics will be descriptive measures, data displays, basic probability, and hypothesis testing. The instructor will provide study support to any students interested in taking the AP Statistics examination.

Calculus

Students will study the derivative (rate of change) and integral (sum) as the limiting results of infinite processes. They will learn the standard computational techniques, the proofs of the major theorems, and methods for applying the theory to applications in the sciences. The course will offer formal preparation for the AP exam to those students interested in taking it.

Graph Theory

The goals of the course are for students to develop a clear understanding of the difference between axioms, definitions and theorems; to gain some facility with the proof techniques used repeatedly in the textbook; to study the historical development of Graph Theory and its most famous problems; and to become familiar with a few modern applications of the subject. Like geometry, Graph Theory is visual and need not require much arithmetic. The proposed course will closely follow the development in An Introduction to Graph Theory, a short and charming textbook by Richard Trudeau. In addition to introducing the subject, the book explores several classic problems—for example, the three classifications of Platonic solids (solved over two thousand years ago by other methods, but made much easier by the use of graphs) and the Four-Color Problem (solved in 1964, shortly after the book was originally published).