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A guide to precalculus and calculus lessons
on mathematical modeling.
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by Lou Berlin
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- Teach your students to interpret and model data like
engineers and scientists.
- Incorporate a variety of techniques including manual
scatter plots, graphing calculator technology, computer spreadsheet
and data analysis programs, and the Internet.
- Use logarithms and logarithmic graph paper in meaningul,
real problems.
- Focus on concepts and balance "paper and pencil" techniques
with graphing technology.
- Emphasize a spiraling curriculum to teach precalculus and
calculus skills.
- Meet NCTM standards in problem solving, reasoning,
communication, connections, representation, and data analysis.
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Activities
Include:
- Applications
of Linear Curve Fitting
- The
Chicago Bulls!
- The Miss
America Winners! - Body Mass Index
- "Algebra
- What are we ever going to use it for?" or "Determining the
Expansion Rate and Age of the Universe."
- Compound
Interest and Continuous Compounding
- Simple
and Compound Interest
- Where
does e come from?
- The Law
of Natural Growth or Decay
- Applications
of Exponential Curve Fitting
- Crime
Scene Investigation (CSI)
- Oil
Well Production
- Population
Growth of India
- Wind
Power
- "OPEC,
keep those wells flowing, please!" - Oil
Well Production and Reserves
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- Applications
of Logistic Growth
- The Grey Wolf - Yellowstone National Park
- New York City Population
- McDonald's Hamburgers
- "25,000 Stores!" - Starbucks Corporation
- "Over the Peak!" - The SARS Epidemic
- "Fight the Bite!" - West Nile Virus
- Other
Curve Fitting Applications
- "Eight
minutes of arc!" - Kepler's
Third Law
- "Fireworks
on the Sun" - Solar Flare Activity and the Sunspot Cycle
- "You're
Rich!" - Oil Well
Production Decline Analysis
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- 2008 Student Workbook
Edition:
$15.00 + S & H
151 pages
Includes:
- Graph paper for
specific problems:
Cartesian, semi-log, and log-log
We also sell Curve Fitting Drafting Triangles.
ISBN 978-0-9762178-0-0
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$31.95 + S & H
275 pages
Free with 25 or more student editions.
Includes:
- Answer Key
- Overhead Blackline Masters
- "Mathematics in the News!" Data and
Test/Quiz CD
ISBN 978-0-9762178-1-7
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mathpower@comcast.net
www.mathpowerpublishing.com
Please contact us at MathPower Publishing Company if you have any
questions.
Copyright©
2004 Lou Berlin. All rights reserved.
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