Education Technology

# Activities

• ##### Subject Area

• Math: Math General: General

9-12

60 Minutes

Derive™ 6

## MM CAS 2003 Exam 2 : Sample Solutions Q3 & Q4

#### Activity Overview

This activity, which acts as a learning review, is a solution of the questions 3 & 4 of the MM CAS 2003 Exam 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 find its derivative
• Equate the derivative to zero and find the x-coordinates of the stationary points
• Substitute the values to get the y-coordinates
• Write the equation of the tangent, and determine the slope
• Solve the equation

• Define the function and determine when the concentration will be greatest
• Find the times for a given concentration, and subtract them
• Determine the coordinate of the local maximum
• Plot the inverse of the function, and solve for the parametric variable
• #### After the Activity

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary