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Calculus with GeoGebra - Step-by-Step Students Learn Calculus with GeoGebra
== You do NOT need to install GeoGebra to use these files === but it's free and great so here's the link: Get GeoGebra
GeoGebra-Math247 (Links to all GeoGebra resources on this site.)
New: September 2009 - 4. Related Rates: Ships in the Night
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1. Boat-Landing Problem
This cool problem can be explored in 8-10th grade (see Learn and Use GeoGebra) and then solved mathematically in calculus!
Problem setting: A man with a boat at point S at sea wants to get to point Q inland. Point S is distance d1 from the closest point P on the shore, point Q is distance d2 from the closest point T on the shore and point P and T are at a distance of d.
Question: If the man rows with a speed of vr and walks with a speed of vw at what point R should he beach the boat in order to get from point S to point Q in the least possible time?
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2. Function, Derivatives and Tangent Lines
Learning: Dynamically change the point on the function where the tangent line is drawn. Then change the function and the interval.
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3. Visualizing the Derivative Formula
Learning: Use GeoGebra and Algebra to Visualize and Apply the Derivative forumla
Mathcast by Prof. Dani Novak, Ph.D., Ithaca College |
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4. Related Rates - Build your own simulator
Problem: At noon, ship A is 90 km west of ship B. Ship A is sailing south at 40 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 2:00 PM?
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GeoGebra Menus
- Lists of open menus wiith tool-icon and commands positions
in a handy two-page handout - pdf format.
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Math247 GeoGebra (links to all GeoGebra resources on this site) Got something special you want to see or show? Contact me.
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