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


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.
 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.
 Explore periodic realworld
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
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.

Objective:

Apply calculus techniques as developed in the FoilSim
Getting a Little "Lift" out
of Calculus Part I: Activity to a problemsolving
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%.

TO Calculus Intro Page and Other
Links
