Description This sequence is our version of Algebra II/ Trigonometry/ Pre-Calculus, and is for those students who have completed geometry. Algebra and Geometry combine into an amazing mathematical dance that these courses beautifully demonstrate. Despite the high level of mathematics that these courses represent, students continue to work in within the QED™ framework that is focused on context, concept, discovery, and application. Through the study of:
Students have the opportunity to not just memorize the "formula" but to actually understand its very existence through the activities they do in class. | Sequence The Conics™ Through an exploration of the methods of conic section construction, students will learn polynomial theory and advanced function theory. This will help students gain full mastery of these crucial Algebra II standards. topics include: conic sections, circles, ellipses, parabolas, hyperbolas, transformations, graphing techniques, ruler and compass construction methods The Polynomials™ This course completes a student's study of advanced algebra by having them analyze and understand the mathematics of polynomials, an important part of the Algebra II standards. topics include: quadratics, cubics, quartics, roots, completing the square, factors, product and sum of roots, degree n polynomials, synthetic division, remainder theorem, asymptotes The Transcendentals™ This is our version of trigonometry. This course, however, covers a wider range of functions that are collectively referred to as the transcendental functions, which include the trigonometric and exponential functions and are unified by theory of complex numbers. topics include: periodicity, radians, arc length, universality, inverse trig functions, pythagorean identities, sum and difference formulae, double and half angle formulae, Law of Sines and Cosines, logarithms, exponentials, compound interest, natural logarithm, imaginary numbers, Euler's formula, polar representation, complex functions | Information The Advanced Mathematics sequence consists of three 30-hour workshops for a total of 90 hours of in-class material. Academic year sequences are held in 10 week classes each 3 hours long. Classes consist of hands-on activities, practice problems, and concept synthesis. Academic year students are required to complete a minimal amount of practice problems. |
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QC Mathematics >
Advanced Mathematics |