131 Intermediate Algebra
required major (if recommended by Department Head)
prerequisite: Algebra I
Grade: 9 (or Grade 10 for 2012-2013 school year)
This course reinforces and builds on algebraic skills and concepts introduced in Algebra I, including work with linear equations, linear systems and quadratic equations. Students will also explore polynomials, rational expressions, laws of exponents, simplifying radicals, factoring, graphing and applications. An emphasis is placed on skill development,problem solving and analytical thinking. The graphing calculator is used to explore and understand concepts.
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142 Geometry
required major
prerequisite: Algebra I or Intermediate Algebra
Grade: 9 (or 10)
This course in Euclidean geometry includes the study of geometric figures, shapes, angles, parallel lines, similarity and congruence, area and volume, coordinate geometry, some analytic geometry, and some trigonometry. The deductive thought process is emphasized throughout this course and algebraic skills are reviewed and reinforced.
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143 Geometry Accelerated
required major
prerequisite: Accelerated Algebra I or Algebra I /Intermediate Algebra and approval of Department Head
Grade: 9
This course takes a strongly analytical approach to the study of Euclidean geometry. Proofs are emphasized throughout the year to develop strong deductive reasoning. Algebra will be used extensively in the development and solving of problems. Students will begin the study of trigonometry.
152 Algebra II
required major
prerequisite: Geometry
Grade: 10 or 11
This course develops clear, logical thinking as students investigate applications of mathematical concepts and develop their problem solving abilities. Topics include linear and quadratic equations and inequalities, higher degree equations and functions, irrational and complex numbers, exponential and logarithmic functions. The graphing calculator is used for graph exploration.
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153 Algebra II/Trigonometry-Accelerated
required major
prerequisite: Geometry-Accelerated and approval of the Department Head
Grade: 10
This course moves at a brisk pace while covering topics in depth. The graphing calculator is used for modeling and analyzing functions. Conventional Algebra II and Precalculus topics are integrated to prepare students for Calculus. Topics include solving algebraic equations and inequalities, function operations, polynomial and rational function analysis, exponential and logarithmic functions and trigonometric functions and trigonometric applications. Upon completion of this course and in consultation with the teacher, students in strong standing may take the appropriate SAT subject area test.
161 Functions and Trigonometry
required major
prerequisite: Algebra II
Grade: 11 or 12
Functions and Trigonometry can be an alternative to Precalculus. This course expands on topics from Algebra II and focuses on enhancing students’ skills in problem solving. Topics include exponential and logarithmic functions, polynomial and rational functions, trigonometric functions; and probability, sequences and series. This course is for students who have completed Algebra II and wish to strengthen and broaden their mathematical background before taking Statistics. Students planning to take Calculus must take Precalculus.
162 Precalculus
required major
prerequisite: Algebra II and approval of Department Head
Grade: 11 or 12
This course consolidates Algebra and Geometry skills and emphasizes application and synthesis of those topics to prepare students for Calculus. Topics include solving algebraic equations and inequalities, function operations, polynomial, rational, exponential and logarithmic functions, trigonometric functions and applications, function analysis, and polar graphing. Upon completion of this course and in consultation with the teacher, students in strong standing may take Calculus.
163 Differential Calculus
required major
prerequisite: Algebra II-Accelerated and approval of the Department Head
Grade: 11
This is the first year course of a two-year sequence. Students taking this course are required to take Integral Calculus and Series in their senior year. This course will cover topics including mathematical induction, polar coordinates, the complex plane, and data analysis using the graphing calculator. The students will be taking a rigorous approach to the mathematics and proofs will be emphasized.
171 Statistics
major elective
prerequisite: Algebra II, Functions and Trigonometry or Precalculus
Grade: 12
This course uses exploratory analysis of data to make use of graphical and numerical techniques to study patterns and departure from patterns. Students learn to collect data according to a well-developed plan in order to obtain a valid conjecture about the information. Probability is used to anticipate what the distribution of data should look like under a given model. Statistical inference guides the selection of appropriate models. In general, the AP Statistics curriculum is followed.
172 Calculus
major elective
prerequisite: Precalculus or Algebra II/Trigonometry-Accelerated and approval of Department Head
Grades: 11, 12
This course covers the fundamental concepts of Differential and Integral Calculus. First semester topics include limits, average and instantaneous rate of change, the definition of derivative and techniques of differentiation. The product, power, quotient and chain rules are applied to polynomial, rational, trigonometric, exponential and logarithmic functions. Second semester topics are Riemann sums, integration techniques, area between two curves and volumes of revolution. The topics covered are those included in a college level curriculum.
173 Integral Calculus and Series
major elective
prerequisite: Differential Calculus- Advanced
Grade: 12
This is the second year of a two-year sequence. Upon entering the course, students will have a working knowledge of Differential Calculus, thus we will start with Integral Calculus. The topics covered include those studied in many advanced college-level Calculus curricula.