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Advanced Math 2005 - 2006
Course Goals: Students will solve problems that require processing several pieces of information simultaneously, increase in abstraction, extend to diverse settings, and/or require the appropriate use of qualitative and/or quantitative data based on the problem. (2.3) Students will understand and use the complex number system. (7.6) Students will understand and use opposite, reciprocal, absolute value, raising to a power, taking a root, and taking a logarithm.(7.6) Students will use functions to represent patterns. (7.8) Students will represent functional relationships in formulas, tables, and graphs, and translate among these; model given situations with functions, and interpret given functions in terms of situations; understand functions as relationships in which one quantity determines another; use basic types of functions (linear, exponential, periodic, power, rational, square, and square roots, and cubes and cube roots); work with properties and mechanics of functions. (7.8) Students will define and use variables, parameters, constants, and unknowns in work with both functions and equations; solve equations both symbolically and graphically, especially linear, quadratic, and exponential equations to represent curves such as lines, ellipses, parabolas, and hyperbolas. (7.8) Students will use technology, as appropriate with all the above skills to represent information (1.18), to organize systems (1.19), to communicate data accurately (1.20), and to develop models (1.22). (Number refers to the VT Framework Standard.) Prerequisite: Successful completion of Algebra I, Algebra II, and Geometry or permission of the instructor. Evaluation:
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