Upper School Curriculum :: Math

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A student must complete math through Algebra II, with most going beyond. Course selection depends on placement, and many courses are available in both regular and honors section. Honors classes cover the same topics but in greater breadth and depth.

 

Algebra I includes study of numbers and sets, properties of operations, real numbers, equations and inequalities, verbal problems, factoring, operations with rational expressions, systems of linear equations and inequalities, irrational numbers, and quadratic equations.

 

Geometry integrates the concepts of plane and solid geometry with an effective use of algebra. Topics include points, lines, planes, angles and angle relationships, constructions, parallel lines and planes, triangles, parallelograms and other quadrilaterals, similar polygons, area of polygons and circles, surface area and volume of solids, induction as a method of discovery, deduction and formal proof with emphasis on logical thinking.

 

Algebra II aims for complete mastery of basic algebraic concepts and manipulations by stressing the “how” and the “why” of mathematics.  Topics include equations and inequalities, verbal problems, factoring, fractions, graphs, complex numbers, systems of equations, conics, exponents, and logarithms.

 

Functions & Graphs covers general concepts including absolute values, piecewise-defined functions, symmetry, inverses, transformations, and slope functions; reinforced through examples from families of graphs including polynomial functions, rational functions, exponential and logarithmic functions, and conics.

 

Trigonometry reviews triangle trigonometry and circular function definitions of sine and cosine, then proceeds to treatment of all six trig functions, their graphs, inverses, and applications.  Solving techniques for trig equations and verification of trig identities are studied.

 

Advanced Topics in Precalculus presents limits, sequences and series, vectors, polar curves, complex numbers, and beginning calculus concepts.

 

AB Calculus AP  is an intensive first-semester college course in the calculus of functions of a single variable.  An introduction to the methods of calculus is followed by several problem-solving applications.

 

BC Calculus AP is an intensive first-year college course in the calculus of functions of a single variable.  An introduction to the methods of calculus is followed by several problem-solving applications.

 

AP Statistics introduces major concepts and tools for collecting, analyzing, and drawing conclusions about data.  The course is built around four main topics: exploring data, planning a study, understanding probability theory, and acquiring critical inferential reasoning skills.

 

Other upper level Math electives include Statistics, Problem Solving, Math of Finance, Math of Economics, and Vector Calculus and Differential Equations.

 

 
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