Activity Overview
In this Computer Algebra System (CAS) activity, students will explore the concept of limits of functions, and use CAS to demonstrate the definition of derivative.
Before the Activity
Connect the CBR 2™ and CBL 2™ to the calculator
Install TI Connect™ using the TI connectivity cableSee the attached PDF file for detailed instructions for this activity Print pages 1 - 6 from the attached PDF file for the class
During the Activity
Distribute the pages to the class.
Follow the Activity procedures:
Explore the concept of the limit of a function f(x) as x approaches zero, infinity, or any other arbitrary value
Investigate the horizontal and vertical asymptotes of a rational function; graphically, numerically, and symbolically
Examine other important limits
Use the CBL™/CBR™ to collect distance data
Analyze the distance-time and velocity-time graphs using the calculator programs
Find the relationship between distance and time graphs
Understand that CAS can be used to demonstrate the definition of the derivative using the difference quotient
Visualize the area under a curve using Riemann sums
Model data using the logistic equation, study slopefields, and approximate the solution using Euler's method or the Runge-Kutta method
Use the deSolve command to obtain an analytical solution
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