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Mathematics

Our mathematics faculty encourage each student to achieve a working knowledge of and competency in mathematical concepts and related problem-solving strategies. We think this is best suited in an environment where students are encouraged to value and appreciate the wonderful habits of a mathematical mind.

We strongly believe that students should engage the curriculum at a pace that best suits their level of mathematical development.  Students are engaged in such a way as to become responsible and diligent caretakers of their own learning. Students utilize technology in investigation, analysis, discovery, conjecturing, and prediction. There is ample use of graphing calculators and computer technologies throughout the curriculum to enhance the learning process. In all that we do, we hope to promote a lifelong love of mathematics.

9th and 10th Grade Courses

ALGEBRA I
Grade 9

Prerequisite: Algebraic Connections.

A study of elementary algebra making frequent use of authentic data in real-life applications, this course includes traditional topics such as linear, exponential, quadratic and rational functions as well as the more contemporary topics of probability and statistics. Rigorous and challenging, it demands daily preparation. The graphing calculator is used regularly in a controlled fashion for efficiency and exploration.


GEOMETRY
Grades 9, 10

Prerequisite: Algebra I


This course content connects the physical and visual world with the algebra the student knows. Emphasis is placed on activities designed to strengthen spatial skills and logical reasoning ability. These activities cover a wide range of topics from points, lines, angles, planes, circles and polygons to similarity, transformations, and area and volume where formulas are developed and applied in real-world situations. Proofs are interspersed throughout the textbook and trigonometry is introduced to give students a foundation for future study.


HONORS GEOMETRY
Grades 9, 10

Prerequisite: Teacher recommendation based on Algebra I achievement and an acceptable geometry aptitude test score.


This is an accelerated geometry course that requires motivated work at a fast pace. Course content includes all topics in the Geometry course with the addition of solid geometry, transformations and exploration of nontraditional topics. It also includes an extended study of trigonometry to better prepare students for Honors Algebra II/Trig. Greater attention is given to writing proofs and using algebraic techniques to develop geometric concepts.

10th and 11th Grade Courses

ALGEBRA II
Grades 10, 11

Prerequisite: Algebra I and Geometry or Honors Geometry.

In this course, students have the opportunity to develop a greater understanding of topics covered in Algebra I through a thorough review of algebra skills. From then on, familiar topics are expanded and new topics presented. Included among new topics are matrix algebra, probability, transformations of functions and logarithmic functions. Throughout the course, emphasis is placed on problem solving with appropriate use of the graphing calculator.


ALGEBRA II / TRIGONOMETRY
Grades 10, 11

Prerequisite: Teacher recommendation based on Geometry achievement and Algebra I performance.

In this course, students will study in greater depth basic algebra topics and also learn the fundamentals of new material such as higher order polynomials, probability, transformations, imaginary numbers, logarithms, sequences and series, and trigonometry. These expanded and new topics will be applied to model and solve real-life situations through algebraic techniques and appropriate use of graphing calculators. Rigorous and challenging, this course demands consistent and focused daily preparation.

HONORS ALGEBRA II / TRIGONOMETRY
Grades 10, 11

Prerequisite: Teacher recommendation based on Geometry achievement and Algebra I performance.


This is a challenging and rapid-paced course that expands the depth and difficulty of standard Algebra II/Trig to include additional topics of conics. Intended to stretch beyond the introduction of fundamental advanced algebra, this course will challenge students to apply that which is taught to discover further and more complex applications. Students are expected to have a solid mastery of Algebra I concepts, recall of geometry rules and formulas, and graphing calculator facility.

11th and 12th Grade Courses

TRIGONOMETRY/ALGEBRA III
Grades 11, 12

Prerequisite: Algebra II or Algebra II/Trig with teacher recommendation.

This course expands upon previous algebra material and includes a broad range of intermediate level topics. The curriculum focus is on the development of mathematical models tailored to real-world situations that demonstrate an application of the material learned. The graphing calculator is used to evaluate complex computations and assist in the graphical analysis of functions. After a review of algebra skills, basic trigonometry is introduced with the focus expanded to periodic functions and angle/distance measurements. Algebra topics include linear functions, systems and probability, as well as exponential, logarithmic, quadratic, rational and higher degree functions, as well as probability and statistics.

PRECALCULUS
Grades 11, 12

Prerequisite: Algebra II/Trig or Trig/Algebra III, with teacher recommendation.


This course is designed to prepare students for a college-level calculus course. A thorough study of the functions needed for calculus is provided: specifically trigonometric, logarithmic, exponential and polynomial functions. Although the graphing calculator is used extensively, the focus of the course is on algebraic problem-solving techniques and modeling real-world situations with math functions.


HONORS PRECALCULUS
Grades 11, 12

Prerequisite: Algebra II/Trig or Honors Algebra II/Trig, with teacher recommendation.

This is a challenging and rapid-paced course that builds on the topics presented in Honors Algebra II/Trig. It also extends the depth and difficulty of the standard Precalculus course to include a six-week introduction to the calculus topics of limit and differentiation. To develop the requisite analytical facility for AP Calculus BC, relationships among topics are emphasized throughout the course.

HONORS CALCULUS
Grade 12

Prerequisite: Precalculus or Honors Precalculus, with teacher recommendation.

While not intended to adhere to the Advanced Placement Calculus AB syllabus, this course is equivalent to a one-semester college course. Topics include analysis of functions, limits, differentiation and integration of algebraic and transcendental functions with particular attention given to the use of calculus in problem solving.

ADVANCED PLACEMENT CALCULUS AB
Grade 12

Prerequisite: Teacher recommendation based on Precalculcus or Honors Precalculus achievement and a suggested SAT/PSAT Math score of 550 or higher.

This college-level course in calculus and analytic geometry prepares students for the Calculus AB Advanced Placement Examination. Calculus students study functions of real variables, limits, continuity, differentiation and integration of algebraic and transcendental functions. Applications of these topics are emphasized.

ADVANCED PLACEMENT CALCULUS BC
Grade 12

Prerequisite: Teacher recommendation based on Honors Precalculus achievement and a suggested SAT/PSAT Math score of 600 or higher.

In addition to the topics covered in the AB level course, students study parametric, polar and vector functions, and improper integrals. Polynomial approximations and series are studied including tests for convergence or divergence and the use of technology to explore these concepts. Taylor series and Maclaurin series are formally manipulated. Differential equations are introduced in the AB level but studied more thoroughly in the BC course including logistic models. Students will take the BC level exam, which includes an AB subscore.

ADVANCED PLACEMENT STATISTICS
Grades 11, 12

Prerequisite: Math teacher recommendation based on analytical skills and work habits and suggested scores of 500 or higher on both SAT/PSAT Math and Critical Reading.
Corequisite: Algebra II/Trig, Honors Algebra II/Trig or higher math.


Advanced Placement Statistics is equivalent to a one-semester, introductory college statistics course. Its purpose is to introduce students to the major concepts and tools for collecting, organizing, analyzing and drawing conclusions from data. Topics include design of observational studies and experiments, random variables, distributions, hypothesis testing and regression analysis. To investigate statistical concepts, students use the TI-83/84 Plus graphing calculator, Fathom statistical software and Web-based java applets. Although they are not required to memorize formulas, they are expected to use them proficiently. This course should be of particular interest to students planning a career in biological science, business, medicine, political science, education or the social sciences. While preference will be given to juniors and seniors, sophomores taking Honors Algebra II/Trig will be considered on a case-by-case basis.


MATH SYMPOSIUM
Grade 12

Prerequisite: Algebra II, Algebra II/Trig or Honors Algebra II/Trig.

Course content of Math Symposium, unlike other math courses, will be distributed among interested faculty. Topics will vary according to interests and background. Possibilities include but are not limited to probability, statistics, set theory, number theory, logic, consumer math, fractals, chaos, non-decimal systems and graph theory. Designed to give students exposure to a wide range of topics given little attention in the traditional calculus–preparatory curriculum, this course will also include group discussions based on short readings, and will not be homework intensive.