Modern Math I - II

.During the Fall 1999 semester we will conduct studies regarding classes of functions, their graphs, and their applications in modeling situations.  Experiments to collect data for mathematical analysis and modeling will be conducted using the TI-83 graphing calculator, Calculator Based Laborator (CBL), and Calculator Based Ranger (CBR) technology platform.  These experiments will connect real world science concepts to mathematical contexts. 

Using the TI-83 graphing calculator and CBR, the Ranger, students test their understanding of graphs.  A distance-time graph of a “walk” appears on the calculator screen and students attempt to walk a match to the graph.  In other experiments, a velocity-time graph appears on the calculator screen and students attempt to walk a velocity match to the graph.  Data is collected through the CBR and transmitted to the calculator. A connection of the slope of a line to the rate of change is established graphically.  The data, lists of ordered pairs from the graph, are stored in the calculator so that the numbers may be analyzed.

Students gather data in groups...

"CHAIR" ROVER

The stage is set by considering the position of the Rover on Mars during the Mars Pathfinder Mission in Summer 1997.  When the Rover landed on Mars during the Pathfinder Mission scientists had to have the ability to know where the Rover was located with respect to the lander.  The Rover acted like a remote control toy car. In the activity depicted below, students utilize the TI-CBR to simulate the path of the Rover as it journeyed across the surface of Mars.  This data collection and transmission technique is similar to the Rover transmitting its location on Mars back to Earth.  Further consideration and experimentation was given to simulating the velocity of the Rover on Mars.  The stage could have been the positioning of students walking down a hallway or the position of a car which has a Global Positioning System, GPS.  A GPS along with the stationary satellites can give you your position on the earth!w


 

Two

Note:  For capabilities of Rover, see the web page at http://quest.arc.nasa.gov/mars/ask/about-rover/  The lines walked in this activity are for the person moving with the CBR.  Any “graphs” from Rover are constructed for this activity.
 


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