Activity Overview
This activity, which acts as a learning review, is a solution of the questions of the MM CAS 2003 Exam 1 Part 2. Students use the Derive software to solve problems.
Before the Activity
See the attached PDF / DFW file for solutions to the questions, and print the file for the class
During the Activity
Distribute the pages to the class.
In this activity, students will:
Define a function and write down the equations involving values of the function and its derivative
Solve the equations by expressing two variables in terms of the third
Graph the given curves, and determine the range of the intersection point
Observe the period for each curve, and understand that the period + solution will also be a solution
Define a function, graph it, and find the intercepts
Specify the equation parametrically, and obtain the asymptote on the graph
Enter the expressions separately and combine later
Set bounds for the numerical solver
Determine the value of the integral
Calculate the area of the shaded region
Use Derive to define a function, ignoring the scale factor, and interpret the absolute value part of the function
Use embedded IF statements to obtain an appropriate graph
Insert labels on the axes
Plot the four line segments and determine where the line cuts the y-axis
Observe that the region under the curve is triangular, and calculate the area
Integrate the density function and solve for the variable
Use transition matrices to solve the probability problem
After the Activity
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary