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Getting a Little
"Lift"out of Calculus
A FoilSim Activity - Part
I
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Subject Area:
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Pre-calculus and Calculus
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Grade Level:
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11-12
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National Mathematics
Standards:
National Technology Standards:
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- 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.
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Objectives:
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After entering the given conditions into FoilSim, apply
calculus techniques to verify predictions.
Accurately apply scaling to a problem-solving
situation.
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Assessment:
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You, or you and your partner(s),
will be evaluated on the accuracy or feasibility of your
answers.
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Evaluation:
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Using basic integration techniques,
verify the total lift of an airfoil as calculated by FoilSim
for a given set of conditions.
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Submitted by:
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Jim
Zaborowski, Physics and
Mathematics, Urbana High School, Urbana, Ohio
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Note:
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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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TO Calculus Intro Page and Other
Links
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