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## Getting a Little "Lift"out of Calculus

### A FoilSim Activity - Part II

 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. 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. Explore periodic real-world phenomena using the sine and cosine 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. Objective: Apply calculus techniques as developed in the FoilSim Getting a Little "Lift" out of Calculus Part I: Activity 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: Determine the total lift of an airfoil given the pressure vs. area curves using basic integration techniques. Submitted by: Jim Zaborowski, Physics and Mathematics, Urbana High School, Urbana, Ohio Note: If you plan to print on a Macintosh system, it is suggested that you access the page setup menu and adjust print size to 75%.

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