Mathematics

Philosophy

The philosophy of the mathematics program in the Upper School is reflected in its goals, which are to provide the student with the information and skills necessary for advanced work in mathematics and the sciences, real world problem solving, critical thinking, and making sensible, responsible decisions in a highly technological society.

Course offerings include Geometry in Form III, Algebra II in Form IV, Precalculus in Form V, and AP Calculus AB and Applied Calculus in Form VI, although some students may take a different sequence of courses because of acceleration. A course in statistics and Mathematics & Money may be offered some years. Courses are generally offered at two levels: a standard (B) level and an accelerated (A) level. 

Geometry
This is a standard course in Euclidean geometry covering the following topics:. parallelism and perpendicularity, triangle properties and congruence, similarity, right triangles (including right-triangle trigonometry), circles, and surface areas and volumes (plane figures and solids). Two-column proofs are introduced and used extensively. Geometer’s Sketchpad (computer software program) is utilized on a regular basis. Coordinate geometry is integrated into all of the aforementioned topics of study. Text (ebook): “Geometry”, McGraw Hill Education.

Algebra II
The skills and concepts learned in Algebra I are re ned and expanded in Algebra II. Linear and Quadratic functions, complex numbers, relations and functions, variation, radicals, polynomial functions, rational functions, and exponential and logarithmic functions are a few of the topics studied. Word problems receive considerable attention. Graphing calculators (Ti-84 Plus), the use of which is integral to the course-work, are required of all students. Text (ebook): Sullivan: Intermediate Algebra 3/e. 

Precalculus
This course is a rigorous study of algebraic and transcendental functions, including polynomial, trigonometric, and logarithmic functions with applications. The limit concept is studied, and the operations of differentiation and integration may be introduced if time permits. Graphing calculators, the use of which is essential to the course-work, are required of all students. Text (ebook) “Sullivan: Precalculus: Enhanced with Graphing Utilities”; Pearson. 

Applied Calculus
This course offers a brief review of exponential, logarithmic, polynomial, rational, and trigonometric functions followed by a detailed study of the concepts of calculus: limits, derivatives and integrals. Real-world applications, including a special focus on rectilinear motion, are emphasized throughout. Graphing calculators (TI-84 Plus), the use of which is essential to the course-work, are required of all students. Text (ebook) Lial, Calculus with Applications, 10th Edition, Pearson.

AP Calculus AB
This is a standard first-term college course in differential and integral calculus that follows the AP curriculum. Limits are investigated, leading to a study of differentiation and integration.
Application problems from physics, engineering, business, and economics are an essential part of the course. Graphing calculators, the use of which is essential to the course work, are required of all students. Text (ebook): Calculus: Graphical, Algebraic, Numerical; Pearson.

Statistics
Topics in this course include collecting data, constructing and interpreting graphical displays, counting techniques, probability, the normal distribution, confidence intervals, measures of spread, correlation and regression, and the mathematics of voting. This course may not be offered every year. Text: Elementary Statistics; Pearson Prentice Hall.

Math and Money
Topics in this course will address interest rates, bonds, savings accounts, loans, and mortgages by using real life applications. Students will tackle projects such as developing a budget for a college, purchasing a car, and saving for a home. To do this they will examine fixed, variable, and periodic expenses. They will learn how these expenses relate to cash ow and economics. By using graphing calculators and Microsoft Excel, students will develop an awareness and appreciation of the efficiency of using technology in math applications. This course may not be offered every year. Text: TBD