- Author:
- Larry Whittington
- Subject:
- Higher Education, Mathematics, Algebra, Calculus, Trigonometry
- Material Type:
- Activity/Lab, Homework/Assignment
- Level:
- Academic Lower Division
- Tags:

- License:
- Creative Commons Attribution
- Language:
- English
- Media Formats:
- Downloadable docs, Text/HTML

# Education Standards

# Discussion Questions for OpenStax PreCalculus Textbook

## Overview

This OER is a list of Discussion Questions for a PreCalculus course using the OpenStax PreCalculus Textbook. There are eight discussion questions included in the Word document which has the equations better formatted.

# Discussion Questions for OpenStax PreCalculus Textbook

**Discussion Questions for OpenStax PreCalculus Textbook**

**Discussion Question 1: Introduction**

Class is beginning so I hope you are ready!

To understand how to use the discussions tool in eLearning and to meet your classmates, complete the following as your first discussion task:

- Tell us what you prefer to be called (Nicknames are strongly encouraged! My nickname is "Mr. Whitt").
- Tell us what your major is or will be and if you have career goals (My initial major was Computer Science, and my initial career goal was to be a computer programmer).
- Tell us where you're originally from. Keep in mind your entire class can see your posts, so please don't post anything too personal (H-Town is where I'm from).
- Share one of your personal hobbies or interests that you love to do in your free time (I cycle, play video games [Animal Crossing, Destiny, Pokémon TCGO, Hearthstone and WOW], I'm an entrepreneur, I'm an investor, and I'm a YouTube Content Creator).
- After you post to introduce yourself, don't forget to reply to a classmate using at least 3-5 sentences.

For full points, you must thoughtfully respond to at least one other classmate's post.

**Discussion Question 2: Section 4.3 Logarithmic Functions**

Describe how you would simplify *log*_{\(\sqrt{2}\)}*(16)*, then give the result. Include any logarithmic properties you may have used in your explanation.

For full points, you must thoughtfully respond to at least one other classmate's post.

**Discussion Question 3: Section 4.6 Exponential Equations**

- Describe how you would solve the exponential equation
*e*^{2x}*=**e*^{x}*+42*. - What tip would you give someone attempting to solve this problem?
- What is the solution(s)?

For full points, you must thoughtfully respond to at least one other classmate's post.

**Discussion Question 4: Section 5.2 Sine and Cosine Functions**

- Describe two methods for finding the exact value of
*sin**(5π**/3)*without using a calculator? - What is the exact value of
*sin**(5π**/3)*.

For full points, you must thoughtfully respond to at least one other classmate's post.

**Discussion Question 5: Section 6.1 Graph of the Sine and Cosine Functions**

- List different attributes of the cosine function
*g**x**=-*cos*(2x-π)**+1*. - Describe the process you would use to graph the function
*g(x)*. - What is the phase shift of the function
*g(x)*.

For full points, you must thoughtfully respond to at least one other classmate's post.

**Discussion Question 6: Section 7.2 Sum and Difference Identities**

- List two pairs of angles that add or subtract to get
*7π**/12*radians. - Use the appropriate sum of difference identity to find the exact value of
*cos**(7π**/12)*and*sin**(7π**/12)*.

For full points, you must thoughtfully respond to at least one other classmate's post.

**Discussion Question 7: Section 9.1 Systems of Linear Equations – Two Variables**

- Create a system of equations word problem that uses two variables.
- After posting your word problem, respond to two or more classmates by solving their system of equations word problem with explanation of your process.

For full points, you must thoughtfully respond to at least one other classmate's post.

**Discussion Question 8: Final Exam Preparation**

- In your preparation for the Final Exam, what did you do (or will do) or find that you believe will be the most valuable towards getting the best outcome on the Final Exam?
- Include a link or links to the resource(s) you found or specific directions that someone can use to duplicate your preparation.

Post your response to this discussion's prompts. If needed, you may attach a picture or file supporting your response. Reply to two of your classmates with at least 3 unique sentences of thoughtful feedback. You may edit your original response to better answer the discussion prompts before the due date if necessary.