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7.2 Using Graphs, Equations, and Tables to Investigate the Elimination of Medicine from the Body

This three-part example illustrates the use of iteration, recursion, and algebra to model and analyze the changing amount of medicine in an athlete's body. This example is adapted from High School Mathematics at Work, a publication from the National Research Council (1998, p. 80). These activities allow high school students to study modeling in greater depth, as described in the Algebra Standard.

Through multiple representations of a common concept, better insight into, and a deeper understanding of, the problem situation can be achieved.


The following links to an updated version of the e-example

7-2-50x50.jpg  Using Graphs, Equations, and Tables to investigate Iteration and Recursion  (applet)

In this e-example, students are able to iterate up to 100 times after defining their own initial value and recursive function.  


The e-example below contains the original applet which conforms more closely to the pointers in the book.


7-2_ModelingSituation  Modeling the Situation  (7.2.1)

An interactive environment is used to become familiar with the parameters involved and the range of results that can be obtained.
7-2_LongTermEffect.  Long-Term Effect  (7.2.2)

The interactive environment is used to investigate how changing parameter values affects the stabilization level of medicine in the body.
7-2_GraphingSituation  Graphing the Situation  (7.2.3)

An interactive graphical analysis provides a visual interpretation of the results.


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