MTH/220

COLLEGE ALGEBRA

The Latest Version A+ Study Guide

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MTH 220 All Participations Link

https://hwsell.com/category/mth-220-participations/

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MTH 220 Week 1 Questions and Concerns

Week 1 Questions and Concerns

Post any questions you have concerning Week 1 below this thread. Please feel comfortable posting questions about class material – your classmates may very well have the same question!

If you have any questions you do not feel comfortable posting to the main classroom, you can feel free to post a Private Message for me. These posts will only be seen by you and myself. If you feel overwhelmed, please don’t hesitate to contact me immediately.

MTH 220 Week 1 Participation Prompt Week 1, Day 3 (Thursday)

In this discussion assignment, discuss with the other members of your group your experiences taking this week’s Show What You Know diagnostic activity.

Post a 150-word response to the discussion prompts by Day 3 in the discussion area below:

• How did you do on the Show What You Know diagnostic this week?
• Based on the Show What You Know diagnostic, what is your plan for practice?
• Find a resource about this week’s topic that requires more study, and share it with your class. Some places to look are Khan Academy, Mathisfun.com, or any other video resource page.
• What are your hopes and concerns for this course? What do you want to learn? What questions do you have for the instructor?

MTH 220 Week 1 Participation Prompt Week 1, Day 5 (Saturday)

In this learning activity, discuss with the other members of your group your experiences with radicals.

Post a 150-word response to one the discussion prompts by Day 5 in the discussion area below:

Prompt 1

View one of the following Week 1 videos:

• Patrick Just Math Tutorials: Radical Notation and Simplifying Radicals
• Khan Academy: Adding and Simplifying Radicals
• Khan Academy: Simplifying Cube Root Expressions

Answer the following questions:

• In the process of simplifying a radical expression, a student has provided you a decimal number as an answer. Is the student’s answer correct? Why or why not? Explain your answer.

 Prompt 2

View one of the following Week 1 videos:

• Patrick Just Math Tutorials; Radical Notation and Simplifying Radicals
• Patrick Just Math Tutorials: Radicals: Simplifying Radical Expressions Involving Variables – Ex1
• Khan Academy: Simplifying Cube Root Expressions

Answer the following questions:

• What is the difference between radical equations and fractional exponents? How are they alike? Provide an example in your explanation.

 Prompt 3

View the following Week 1 video:

• Distance Formula and Finding the Distance between Two Points – Example 1 by Patrick Just Math Tutorials

Answer the following questions:

• Is finding the distance between 2 points in the rectangular coordinate system related to the Pythagorean theorem? Why or why not? Provide an example in your answer.

 Prompt 4

View the following Week 1 video:

• Khan Academy: Using the Quadratic Formula: Number of Solutions

Answer the following question:

• When using the quadratic formula to solve quadratic equations, how do you know how many solutions you should have in the end? Provide an example in your explanation.

Prompt 5

View one the following Week 1 videos:

• Solving an Equation Involving a Single Radical (Square Root) – Ex 1 by Patrick Just Math Tutorials
• Solving an Equation Involving a Single Radical (Square Root) – Ex 2 by Patrick Just Math Tutorials
• Solving an Equation Involving a Single Radical (Square Root) – Ex 3 by Patrick Just Math Tutorials

Answer the following question:

• Explain the method used to solve an equation containing radical expressions. Why is it necessary to check the solutions for such an equation? Provide an example in your explanation.

Note: All Khan Academy content is available for free at www.khanacademy.org.

MTH 220 Week 2 Questions and Concerns

Week 2 Questions and Concerns

Post any questions you have concerning Week 2 below this thread. Please feel comfortable posting questions about class material – your classmates may very well have the same question!

If you have any questions you do not feel comfortable posting to the main classroom, you can feel free to post a Private Message for me. These posts will only be seen by you and myself. If you feel overwhelmed, please don’t hesitate to contact me immediately.

MTH 220 Week 2 Participation Prompt Week 2, Day 3 (Thursday)

In this discussion assignment, discuss with the other members of your group your experiences taking this week’s Show What You Know diagnostic activity.

Post a 150-word response to the discussion prompts by Day 3 in the discussion area below:

• How did you do on the Show What You Know diagnostic this week?
• What skills have you learned that you can apply to your career or other aspects of your life? Choose at least one skill, and explain how you can apply it to your career or other aspects of your life.
• What careers use a lot of algebra?

MTH 220 Week 2 Participation Prompt Week 2, Day 5 (Saturday)

In this learning activity, discuss with the other members of your group your experiences with exponential and logarithmic functions.

Post a 150-word response to one of the discussion prompts by Day 5 in the discussion area below:

Prompt 1

View one of the following Week 2 videos:

• Khan Academy: Vertical Asymptote of Natural Log
• Khan Academy: Visually Determining Vertical Asymptotes

Answer the following questions:

• What is a vertical asymptote? How can you determine if a function has a vertical asymptote?

  • Explain the behavior of the function as the variable x increases without bound. Provide an example of your vertical asymptote in your explanation.

Prompt 2

View one of the following Week 2 videos:

• Khan Academy: Relationship Between Exponentials & Logarithms
• Khan Academy: Relationship Between Exponentials & Logarithms: Graphs

Answer the following questions:

• What is the relationship between exponentials and logarithms? How can you use these to solve equations? Provide an example in your explanation.

Prompt 3

View one of the following Week 2 videos:

• Khan Academy: Relationship Between Exponentials & Logarithms
• Khan Academy: Logarithmic Equations: Variable in the Argument

Do the following:

• Search the internet for real-world applications of logarithms or exponential functions. Share the application you discovered with the class along with how it relates to logarithms or exponential functions. Be sure to reference the source.

Note: All Khan Academy content is available for free at www.khanacademy.org.

MTH 220 Week 3 Questions and Concerns

Week 3 Questions and Concerns

Post any questions you have concerning Week 3 below this thread. Please feel comfortable posting questions about class material – your classmates may very well have the same question!

If you have any questions you do not feel comfortable posting to the main classroom, you can feel free to post a Private Message for me. These posts will only be seen by you and myself. If you feel overwhelmed, please don’t hesitate to contact me immediately.

MTH 220 Week 3 Participation Prompt Week 3, Day 3 (Thursday)

In this discussion assignment, discuss with the other members of your group your experiences taking this week’s Show What You Know diagnostic activity.

Post a 150-word response to the discussion prompts by Day 3 in the discussion area below:

• How did you do on the Show What You Know diagnostic this week?
• How have your concerns about math changed from Week 1 until now? How has your confidence in math changed? Why? How can you improve your confidence?
• When will you use algebra in real life? Find an article that shows the use of algebra.

MTH 220 Week 3 Participation Prompt Week 3, Day 5 (Saturday)

In this learning activity, discuss with the other members of your group your experiences with matrices.

Post a 150-word response to one of the discussion prompts by Day 5 in the discussion area below:

Prompt 1

View the following Week 3 videos:

• Patrick Just Math Tutorials: Solving a Linear System of Equations by Graphing
• Patrick Just Math Tutorials: Linear System of Equations: Solving using Substitution
• Patrick Just Math Tutorials: Linear System of Equations: Solving using Elimination by Addition

Answer the following questions:

• After learning the three methods of solving linear systems of equations, which method do you prefer? Why?

  • What makes this method better than the others?
  • If you were to share your method, what would you say to a fellow classmate to convince them that your method is the best?

Prompt 2

View one of the following Week 3 videos:

• Khan Academy: Intro to Matrices
• Patrick Just Math Tutorials: Matrices: Basic Matrix Operations (add, subtract, multiply by constant)

Answer the following questions:

• How do you determine when you can multiply 2 matrices? What do these results tell you? Provide an example with your explanation.

Prompt 3

Do the following:

• Search the internet for real-world applications of matrices. Share the application you discovered with the class along with how it relates to systems of equations. Be sure to reference the source.

Note: All Khan Academy content is available for free at www.khanacademy.org.

MTH 220 Week 4 Participation Prompt Week 4, Day 3 (Thursday)

In this discussion assignment, discuss with the other members of your group your experiences taking this week’s Show What You Know diagnostic activity.

Post a 150-word response to the discussion prompts by Day 3 in the discussion area below:

• How id you do on the Show What You Know diagnostic this week?
• What was one thing that you struggled with the most when completing this week’s learning activities and MyMathLab® assignments? What could you have done to help yourself overcome your struggle?
• Find someone that had a big impact in algebra history and describe his or her contribution to mathematics.

MTH 220 Week 4 Participation Prompt Week 4, Day 5 (Saturday)

In this learning activity, discuss with the other members of your group your experiences with arithmetic and geometric sequences and series.

Post a 150-word response to one of the discussion prompts by Day 5 in the discussion area below:

Prompt 1

View one of the following Week 4 videos:

• Khan Academy: Sequences Intro
• Khan Academy: Evaluating Sequences in Recursive Form
• Patrick Just Math Tutorials: Arithmetic Sequences: A Quick Intro
• Khan Academy: Intro to Arithmetic Sequences
• Khan Academy: Explicit Formulas for Arithmetic Sequences

Answer the following question:

• Given any sequence, how can you determine if it is an arithmetic sequence? Provide an example in your explanation.

Prompt 2

View one of the following Week 4 videos:

• Khan Academy: Evaluating Sequences in Recursive Form
• Patrick Just Math Tutorials: Arithmetic Sequences: Finding a General Formula Given Two Terms
• Khan Academy: Sequences Intro

Answer the following questions:

• If you were given a recursion formula, how would you determine the next three terms? How would you determine the 25th term?

  • Provide an example and the steps you would take to solve for these terms. Hint: Use a recursion formula found on p. 708 of College Algebra.

Prompt 3

View one of the following Week 4 videos:

• Khan Academy: Intro to Finite Arithmetic Series
• Khan Academy: Sigma Notation for Sums

Answer the following question:

• Suppose you are provided with an arithmetic sequence. How can you find the sum of n terms of the sequence without having to add all of the terms? Provide an example in your explanation.

Prompt 4

View the following Week 4 videos:

• Patrick Just Math Tutorials: Geometric Sequences: A Quick Intro
• Patrick Just Math Tutorials: Arithmetic Sequences: A Quick Intro

Answer the following question:

• With any sequence, how can you determine which type of sequence it is? Provide an example in your explanation.

Prompt 5

View one of the following Week 4 videos:

• Khan Academy’s: Finite Geometric Series
• Khan Academy’s: Finite Geometric Series Word Problem: Social Media

Answer the following question:

• Suppose you are provided with a geometric sequence. How can you find the sum of n terms of the sequence without having to add all of the terms? Provide an example in your explanation.

Prompt 6

View one of the following Week 4 videos:

• Patrick Just Math Tutorials: Geometric Sequences: A Quick Intro
• Khan Academy: Using Explicit Formulas of Geometric Sequences
• Khan Academy: Finite Geometric Series
• Khan Academy: Finite Geometric Series Word Problem: Social Media

Solve the following problem:

• Research the price of the car of your dreams. Calculate the value it would be at the end of n years with the sequence vn = (Dream car Price)(3/4)n, n = 1, 2, 3…

  • Find the fifth term and explain what this value represents.
  • Describe the nth term of the sequence in terms of the value of your car at the end of each year.

Prompt 7

View one of the following Week 4 videos:

• Patrick Just Math Tutorials: Geometric Sequences: A Quick Intro
• Khan Academy: Explicit and Recursive Formulas of Geometric Sequences
• Khan Academy: Using Explicit Formulas of Geometric Sequences

Solve the following problem:

• A ball is bouncing to a height that is one third of the previous height after every bounce.

  • What kind of sequence is this?
  • How could you find the total distance travelled by the ball? Provide an example in your explanation.

Prompt 8

View one of the following Week 4 videos:

• Khan Academy: Sequences Intro
• Patrick Just Math Tutorials: Geometric Sequences: A Quick Intro

Solve the following problem:

• One person tells another individual a rumor and that individual tells two people, then they both tell two other people.

  • Is this considered an arithmetic or geometric sequence? Explain your answer.

Note: All Khan Academy content is available for free at www.khanacademy.org.

MTH 220 Week 5 Participation Prompt Week 5, Day 3 (Thursday)

In this discussion assignment, discuss with the other members of your group your experiences taking this week’s Show What You Know diagnostic activity.

Post a 150-word response to the discussion prompts by Day 3 in the discussion area below:

• How did you do on the Show What You Know diagnostic this week?
• What skills have you learned in this class that you can apply to your career or other aspects of your life? What did you learn about yourself as a learner throughout this course?
• What can you do differently in your next math class to help you with your fears regarding math?
• What skills did you learn in this class that you didn’t know before?

MTH 220 Week 5 Participation Prompt Week 5, Day 5 (Saturday)

In this learning activity, discuss with the other members of your group your experiences with probability.

Post a 150-word response to one of the discussion prompts by Day 5 in the discussion area below:

Prompt 1

View the following video:

• Patrick Just Math Tutorials: Factorials – Evaluating Factorials! Basic Info

Answer the following questions:

• You are trying to make a 10-digit license plate using only numbers. Assuming no numbers can repeat, how would factorial notation help you calculate the total number of license plates that can be made? How would being able to repeat three numbers change the outcome? Provide an example in your explanation.

Prompt 2

View the following video:

• Khan Academy’s: Count Outcomes Using Tree Diagram

Answer the following questions:

• How does a tree diagram relate to the fundamental counting principle? Which is more convenient? Why?

Prompt 3

View the following video:

• Patrick Just Math Tutorials: Calculating Probability: “And” Statements, Independent Events

Solve the following problem:

• Calculate the probability of winning the lottery (such as Powerball, Mega Millions, pull tabs, etc.) in your state/country.

  • How much money would you have to spend to ensure you pick a winning ticket?
  • Is it possible to guarantee you will win? Provide an example in your explanation.

Prompt 4

View the following videos:

• Khan Academy: Combination Formula
• Khan Academy: Permutation Formula

Answer the following questions:

• How can you determine if you need to use a combination or permutation to count the number of outcomes to something? Which will usually have more outcomes? Why? Provide an example in your explanation.

Prompt 5

View the following videos:

• • Patrick Just Math Tutorials: Calculating Probability – “And” Statements, Independent Events
  • Khan Academy: Addition Rule for Probability

Answer the following question:

• Explain the use of and and or in probabilities. How would you change your calculation based on the language of the problem?

Note: All Khan Academy content is available for free at www.khanacademy.org.