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# Getting a Little "Lift"out of Calculus A FoilSim Activity - Part I

 Subject Area: Pre-calculus and Calculus Grade Level: 11-12 National Mathematics Standards:         National Technology Standards: Apply integrated mathematical problem-solving strategies to solve problems from within and outside mathematics. Read written presentations of mathematics with understanding. Judge the validity of arguments. Recognize the equivalent representation of the same concept. Use tables and graphs as tools to interpret expressions, equations, and inequalities. Model real-world phenomena with a variety of functions. Understand the conceptual foundations of limit, the area under a curve, the rate of change, and the slope of a tangent line, and their applications in other disciplines.   Technology research tools: Use content-specific tools, software and simulations (e.g., environmental probes, graphing calculators, exploratory environments, Web tools) to support learning and research; select and use appropriate tools and technology resources to accomplish a variety of tasks and solve problems. Problem-Solving and Decision-Making Tools - Routinely and efficiently use on-line information resources to meet needs for collaboration, research, publications, communications, and productivity. Objectives: After entering the given conditions into FoilSim, apply calculus techniques to verify predictions. Accurately apply scaling to a problem-solving situation. Assessment: You, or you and your partner(s), will be evaluated on the accuracy or feasibility of your answers. Evaluation: Using basic integration techniques, verify the total lift of an airfoil as calculated by FoilSim for a given set of conditions. Submitted by: Jim Zaborowski, Physics and Mathematics, Urbana High School, Urbana, Ohio Note: If printing from a Macintosh system, it is suggested that you access the page setup menu and adjust print size to 75%.

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