# DQ Please choose one of the following problems from your textbook or one of the 6 discussion questions that accompany the videos and respond fully

DQ Please choose one of the following problems from your textbook or one of the 6 discussion questions that accompany the videos and respond fully

MAT 131 College Mathematics

Module 1 Discussion

Please choose one of the following problems from your textbook or one of the 6 discussion questions that accompany the videos and respond fully. Please use full sentences and use a minimum of 50 words in your responses to each question.

Section 1.1 63, 66, 68, 70

Section 1.2 61, 65, 66, 68, 76

Section 1.3 56, 58, 60

Video 5: Pascalâ€™s Triangle â€“ Part 1

https://mediaplayer.pearsoncmg.com/assets/y3v80ieMx2ENmsn811c4JMnaksg42_hu

This video uses a bean machine, also known as a quincunx, to demonstrate both the central limit theorem as well as Pascalâ€™s Triangle. Students drop marbles from the top of the quincunx and see which slot they land in at the bottom. After numerous marbles have been dropped, it is observed that a bell curve forms and the presenter explains that this happens any time random processes occur. This reasoning helps explain how Pascalâ€™s Triangle is formed, where each number represents how many paths the marble can take around that peg. All the numbers within the triangle also have different meanings, such as the rows representing the powers of 11, adding the rows giving the powers of 2, and the diagonals representing how shapes are organized in space.

Class discussion questions

1. Using what you know about Pascalâ€™s Triangle, what is (a+b)4 ?

2. The quincunx is said to represent how random processes occur and that it will result in the bell curve. What does the presenter mean by a bell curve and when does this become more accurate?

3. At the end of the video, the presenter mentions that the diagonals represent how shapes are organized in space. What do you think he means by this?

Video 6: Pascalâ€™s Triangle â€“ Part 2

https://mediaplayer.pearsoncmg.com/assets/SuTiV5B1MC2VqGs9_jOXnFdioGTIQ_oR

Going along with the previous video on Pascalâ€™s Triangle, the presenter goes into more detail on the diagonals of the triangle. He first explains that in order to create the triangle, you have to start with a triangle of ones and then add up two numbers on one row to create a new number on the row after. How shapes are organized in space is the basis for the diagonals of this triangle. It is explained that the third diagonal (1, 3, 6, 10, etc.) are the triangle numbers. The fourth diagonal numbers (1, 4, 10, 20, etc.) are the tetrahedral numbers of the third dimension. The fifth diagonal, however, can be described using the intersection points of different shapes. Fractals are then described by shading in the even numbers within Pascalâ€™s Triangle to form the Sierpinski Triangle, a series of triangles within each other.

Class discussion questions

1. What is Pascalâ€™s triangle? How do you find the numbers in any row of the triangle? Describe some patterns you notice within the triangle.

2. It is discussed that the entries in each diagonal represents different properties of shapes. What do you notice when you add up the numbers in each diagonal?

3. The Sierpinski Triangle is created by a series of triangles within each other. These shapes are called fractals. What other fractals can you think of?

Important information for writing discussion questions and participation

Welcome to class

Hello class and welcome to the class and I will be your instructor for this course. This is a -week course and requires alot of time commitment, organization, and a high level of dedication. Please use the class syllabus to guide you through all the assignments required for the course. I have also attached the classroom policies to this announcement to know your expectations for this course. Please review this document carefully and ask me any questions if you do. You could email me at any time or send me a message via the “message” icon in halo if you need to contact me. I check my email regularly, so you should get a response within 24 hours. If you have not heard from me within 24 hours and need to contact me urgently, please send a follow up text to

Please, be advised I do NOT accept any assignments by email. If you are having technical issues with uploading an assignment, contact the technical department and inform me of the issue. If you have any issues that would prevent you from getting your assignments to me by the deadline, please inform me to request a possible extension. Note that working fulltime or overtime is no excuse for late assignments. There is a 5%-point deduction for every day your assignment is late. This only applies to approved extensions. Late assignments will not be accepted.

If you think you would be needing accommodations due to any reasons, please contact the appropriate department to request accommodations.

Plagiarism is highly prohibited. Please ensure you are citing your sources correctly using APA 7th edition. All assignments including discussion posts should be formatted in APA with the appropriate spacing, font, margin, and indents. Any papers not well formatted would be returned back to you, hence, I advise you review APA formatting style. I have attached a sample paper in APA format and will also post sample discussion responses in subsequent announcements.

I understand this is a lot of information to cover in 5 weeks, however, the Bible says in Philippians 4:13 that we can do all things through Christ that strengthens us. Even in times like this, we are encouraged by God’s word that we have that ability in us to succeed with His strength. I pray that each and every one of you receives strength for this course and life generally as we navigate through this pandemic that is shaking our world today. Relax and enjoy the course!

Hi Class,

Please read through the following information on writing a Discussion question response and participation posts.

Contact me if you have any questions.

Important information on Writing a Discussion Question

• Your response needs to be a minimum of 150 words (not including your list of references)
• There needs to be at least TWO references with ONE being a peer reviewed professional journal article.
• Include in-text citations in your response
• Do not include quotes—instead summarize and paraphrase the information
• Points will be deducted if the above is not followed

Participation –replies to your classmates or instructor

• A minimum of 6 responses per week, on at least 3 days of the week.
• Each response needs at least ONE reference with citations—best if it is a peer reviewed journal article
• Each response needs to be at least 75 words in length (does not include your list of references)
• Responses need to be substantive by bringing information to the discussion or further enhance the discussion. Responses of “I agree” or “great post” does not count for the word count.
• Points will be deducted if the above is not followed
• Remember to use and follow APA-7th edition for all weekly assignments, discussion questions, and participation points.
• The is a great resource

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