Four credits in math are required for graduation. Knowledge and competence in the basic ideas of algebra, geometry, and trigonometry are considered necessary for success in undergraduate study and for full participation in society. Thus we require each student to complete Advanced Algebra & Trigonometry.
Beyond that, there are course options to suit each student. Probability and Statistics is valuable for almost any future educational path. Economic Choices and Decisions develops concepts seen in the news and provides practical knowledge for personal finances. Math Analysis is recommended for filling out a strong preparation for college and is essential for someone interested in science. For one wishing to advance further, there are Introduction to Calculus and AP Calculus. Independent Study is available to any student ready for more advanced mathematics.
Algebra I
This course lays the foundation for all of higher mathematics. Topics include linear equations, quadratic equations, exponential expressions, and systems of equations. Graphing calculators (TI-84 Plus or Silver) are an integral part of class.
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Geometry
Prerequisite: Algebra I
This course provides an overview of Euclidean geometry. Units of study include lines, angles, triangles, polygons, circles, the Pythagorean Theorem, area, volume, and similarity. The calculator (TI-84 Plus or Silver) and dynamic geometry software (Geometer’s Sketchpad) will be used. Principles and skills of algebra are applied in this course.
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Advanced Algebra & Trigonometry (2 credits; full block each semester)
Prerequisite: Geometry
This required course explores topics essential for basic mathematics in college. These include linear, quadratic, and exponential functions; rational exponents; logarithms; curve fitting; inequalities; systems of equations; polynomials; and plane trigonometry. Calculators (TI-84 Plus or Silver) are used extensively. Upon completion of this course, students are qualified to enroll in Probability and Statistics, Economic Choices, or Math Analysis. Students must enroll for both semesters of Advanced Algebra.
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Honors Advanced Algebra & Trigonometry
Prerequisite: B+ or better in Geometry and recommendation of SMA Geometry teacher
This course covers the material of Advanced Algebra & Trigonometry, but at a much faster pace. It is designed for students who are adept at mathematics and want to advance quickly.
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Introduction to Probability and Statistics
Prerequisite: Advanced Algebra & Trigonometry
Statistics is the branch of mathematics dealing with the collection, organization, analysis, and interpretation of information. It can help answer questions in a variety of fields: Is there really a difference or is it just due to chance? How much risk are we willing to take that we make the wrong decision based on a sample? Is there bias in the process? All students who wish to be informed citizens and prepare for a college-level course are welcome in this class.
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Economic Choices and Decisions
Prerequisite: Advanced Algebra & Trigonometry
This course will cover aspects of economic choices that young adults will encounter. Making sound economic choices is an integral part of college life and after; these choices will be enhanced with knowledge and practice through the Stock Market Game, the Budget Game, and many hands-on exercises and activities. Emphasis is on investing, saving, and credit. In addition, general economic principles and current issues are examined including from a global perspective. Recommended for Seniors.
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Math Analysis
Prerequisite: B or better in Advanced Algebra & Trigonometry and recommendation of teacher
This course pursues a deeper study of elementary functions—linear, power, quadratic, exponential, logarithmic, and trigonometric functions. This includes characterizations describing how they change, applications showing how they are used, and general aspects of functions (e.g., rates of change and inverses). The course also aims to promote fluency in algebra, problem-solving, and communicating mathematics. It can serve as a “capstone” high school mathematics course and is strongly recommended for students interested in science. It is a necessary, but generally not sufficient, step in preparation for calculus.
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Introduction to Calculus
Prerequisite: Math Analysis
This course is an intensive integration of topics from algebra, trigonometry, and analytic geometry. It covers the analytical knowledge and skills needed for calculus, and includes an introduction to topics of calculus.
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AP Calculus AB (1.5 credits; full block fall, half block spring)
Prerequisite: Introduction to Calculus
After a short review of preparatory topics, this course develops calculus through applications of integration and elementary differential equations—somewhat further than a first semester university course. It is sufficient for meeting all the types of problems on the AP Calculus AB exam. The half block spring portion of the course is titled AP Calculus AB II.
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AP Calculus BC (0.5 credit; half block, 1 semester)
Prerequisite: AP Calculus AB
This course extends the development of calculus through power series. It includes the calculus of polar and parametrized curves.
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