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


Subject Area:

Precalculus and Calculus

Grade Level:

1112

National Mathematics
Standards:
National Technology Standards:

 Apply integrated mathematical
problemsolving 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 realworld 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
contentspecific 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.
 ProblemSolving and DecisionMaking Tools 
Routinely and efficiently use online 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 problemsolving
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%.

TO Calculus Intro Page and Other
Links
