Activity Overview
This activity, which acts as a learning review, is a solution of the questions 14 - 27 of the MM CAS 2002 Exam 1 Part 1. 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 printed pages to the class.
In this activity, students will:
Calculate the derivative of the function
Apply the chain rule pattern to the composite function
Calculate the gradient of each option
Realize that the normal is a linear function
Find the gradient of the normal
Eliminate options which do not have correct locations for stationary points
Recognize the fact that all graphs include required zeros of the function
Determine the derivative of the given composite exponential function
Anti-differentiate the derivative and identify the function
Evaluate the anti-derivative, and include an arbitrary constant to find the correct alternative
Observe the graph of the function over the interval, and note that the values are positive
Use the definite integral (without partitioning the interval) to model the distance traveled
Understand that when a function changes sign over an interval, the definite integral does not give the area between the function and the x-axis
Evaluate the definite integral from a to b, and add it to the negative integral from b to c, to compute the area
Solve two simultaneous equations in n and p
Use the Mean and Variance to solve for p
Understand the transformation between the Standard Normal Distribution, some other Normal Distribution, and the Symmetry of a Normal Distribution
After the Activity
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary