Education Technology

# Activities

• ##### Subject Area

• Math: Math General: General

9-12

60 Minutes

Derive™ 6

## MM CAS 2003 Exam 2 : Sample Solutions Q1 & Q2

#### Activity Overview

This activity, which acts as a learning review, is a solution of the questions 1 & 2 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:

• Find the probability of the given situation using the cumulative distribution function NORMAL
• Understand that the sum of the probabilities should add up to 1
• Determine the mean by multiplying the profit by probability and summing

• Declare a function definition
• Evaluate the function for the value for which the ramp is highest
• Calculate the derivative of the function and find the gradient of the ramp
• Understand that since the gradient is a sine function with amplitude 1, it must always be less than or equal to 1
• Find the area
• #### After the Activity

Review student results:

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