Activity Overview
In this Computer Algebra System (CAS) activity, students investigate differential equations analytically, graphically and numerically and see relationships between the three approaches.
Before the Activity
Install TI Connect™ using the TI connectivity cableSee the attached PDF file for detailed instructions for this activity Print pages 1 - 2 from the attached PDF file for the class
During the Activity
Distribute the pages to the class.
Follow the Activity procedures:
Use the random number generator to generate logistic data to simulate the spread of disease
Use the data analyzing features of the calculator to create a scatter plot
Find a logistic regression curve to fit the data
Use analytic methods to find the solution to the differential equation for logistic growth
Graph the solution along with the original scatter plot
Use the differential equation graphing mode to see numerical and visual solutions without finding the analytical solution
Note that the visual solution includes a slope field and the numerical solution includes tables
After the Activity
Students' answer questions on the Activity sheet.
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary