Mathematics
Mathematics Algebra I This course builds the mathematical foundation to all other Upper School math courses. Students work with monomial and polynomial expressions, solve linear equations and inequalities, solve systems of linear equations and inequalities, and are introduced to quadratics. Applications of linear relationships are a core part of the course. The concept of a mathematical function and its applications to the real world is introduced.
Geometry Geometry is a course of logic and problem-solving in both two and three dimensions. Topics include points, lines, planes, angles, congruence, similarity, the Pythagorean Theorem, special right triangles, right-triangle trigonometry, circles and other polygons. Logical reasoning is emphasized through justification of processes. Students work with geometric concepts in the coordinate plane, compute area and volume, and explore the ratios of similarity. Additionally, throughout the year, students will reinforce skills learned in Algebra I.
Algebra II Algebra II formalizes the concept of a mathematical function through an in-depth study of linear, quadratic, radical, polynomial, and exponential functions. Students are also introduced to a library of other parent functions and learn how to transform them in the coordinate plane. The focus is on developing algebraic fluency and problem-solving skills in a variety of contexts. Properties of functions and functional vocabulary are used throughout the course.
Math Analysis This course is offered as an option after Algebra II. Students enrolling in Math Analysis review and build on skills from Algebra I, Geometry, and Algebra II. Following a less theoretical and more practical approach, this course allows students time to work on gaps in algebraic skills, build confidence with mathematical facility, and practice using these concepts as they commonly appear on a standardized test. Topics include linear and quadratic functions, polynomial functions, and exponential and logarithmic functions.
Precalculus This course is for students who desire a theoretical, conceptual, and rigorous mathematics course after completing Algebra II. Precalculus continues the in-depth study of functions started in Algebra II with an emphasis on preparation for Calculus. Rational, exponential, logarithmic, and trigonometric functions are presented along with their applications. Students learn to move fluently between verbal, numeric, graphic, and formulaic representations. Real-world phenomena are modeled by each function.
Calculus This first-year Calculus course focuses on the mathematics of motion and change. Students are introduced to limits, derivatives, and integrals and their connection through The Fundamental Theorem of Calculus. Students learn to calculate limits, derivatives, and integrals, and apply these skills to real-world applications.
Statistics This course is available to seniors as a primary math course or an elective taken in addition to another math course. We live in a data-driven society; therefore, interpreting data accurately is vital. Students learn to interpret, process, and visualize the data we confront in our daily lives. Students read, discuss, and write about the use and misuse of statistics in media and politics. Students design and conduct observational studies and experiments. Applications in this course include a wide variety of disciplines: psychology, sociology, biology, criminology, political science, business, economics, and law. 17
