L
UPPER SCHOOL
Mathematics Courses
ALGEBRA I Algebra I is an introduction to functions and the study of linear equations and inequalities, systems of equations, problem-solving using equations, operations with polynomials, quadratic equations and factoring, and properties of exponents and radicals. Additional topics may include rational algebraic expressions and probability. Problem solving and critical thinking are embedded throughout the course.
G E O M E T RY This course in Euclidean geometry challenges students to think logically. Topics include congruent triangles, parallel and perpendicular lines, polygons, similarity, the Pythagorean Theorem, right triangle trigonometry, circles and arcs, area, and volume, and probability and basic statistics. Additional topics may include transformational and coordinate geometry. Geometric proofs are an integral part of this course. Ample opportunity is provided for students to apply and maintain algebraic skills.
ALGEBRA II As both a review and a continuation of Algebra I, this course focuses on simplifying, solving, and applying the concepts of linear functions, quadratic functions, polynomial
functions, rational functions, root functions, exponential functions, logarithmic functions, and rational functions. Each unit includes relevant graphing components. Further topics include complex numbers, systems of equations and inequalities, rational exponents, and transformations of parent functions. Additional topics may include an introduction to matrices and sequences and series.
P R E - CA L C U L U S A B Intended as a preparation for Advanced Placement Calculus AB, this course is an introduction to analysis and the study of functions. Topics include a review of parent functions and transformations, the theory of polynomials, the Fundamental Theorem of Algebra, rational and root functions, limits and asymptotic behavior, exponential and logarithmic functions, circular functions and trigonometry, complex numbers, conics, and sequences and series. Graphing calculators are used regularly to aid the study of the behavior of functions. Students wishing to take Pre-Calculus AB must have a strong algebra background, a demonstrated interest in mathematics, and a desire to enroll in AP Calculus for their senior year. Additional topics might include polar and parametric equations and vectors. Departmental recommendation required
A DVA N C E D P L AC E M E N T S TAT I S T I C S Following the guidelines established by the College Board, this course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploratory analysis, sampling and experimentation, anticipating patterns with probability, and statistical inference. Students learn to describe patterns, plan and conduct studies, estimate population parameters, and test hypotheses. This course prepares students to take the AP Statistics exam in May. Departmental recommendation required
A DVA N C E D P L AC E M E N T CA L C U L U S A B Following the guidelines established by the College Board, this course covers the theory of limits, continuity, derivatives and their applications, including curve sketching, maximum/minimum problems, and related rates. Students then turn to integration and the Fundamental Theorem of Calculus with applications to area, volume, arc length, and average value. Students learn to work with functions represented in a variety of
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