# Activities

• • • ##### Subject Area

• Math: Math General: General

• ##### Author 9-12

60 Minutes

Derive™ 6

• ##### Report an Issue

MM CAS 2003 Exam 1 Part 1 : Sample Solutions

#### Activity Overview

This activity, which acts as a learning review, is a solution of the questions of the MM CAS 2003 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 pages to the class.

In this activity, students will:

• Find the nature of the trigonometric graph and find its period
• Identify the factor by which a trigonometric graph has been dilated
• Find the maximum value of a graph
• Understand that the graph of y = f(x) corresponds to y = f(-x) reflected along the y-axis
• Observe the first and second differences, and the rate of increase to rule out options from the given choices
• Use Derive to check the table of values for each alternative
• Understand the definition of inverse functions
• Realize that inverse functions are symmetrical about the line y = x
• Recognize the fact that for a function to have an inverse, the set A must be a subset of R such that the function has one-to-one correspondence over A
• #### After the Activity

Review student results:

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