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Students will engage in lab-based activities designed to stengthen and expand knowledge
of the topics in secondary mathematics, focusing especially on topics from precalculus
and the transition to calculus. Students will explore a variety of contexts that can be
modeled using families of functions, including linear, exponential, polynomial and
trigonometric functions. Topics involving conic sections, parametric equations and polar
equations will be included. Explorations will involve the use of multiple representations,
transformations, data analysis techniques(such as curve fitting) and interconnections
among geometry, probability and algebra. Most labs will include signifcant use of various
technologies, including computers, calculators and multimedia materials. The use of
quantitative approaches (for example to rate of change, limits and accumulation) and
building relationships between discrete and continuous reasoning will be recurrent
themes.
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