math question 72

learning. The purpose of the Discussion Board is to allow you to learn through sharing ideas and experiences as they relate to course content and the Discussion Board question. Classroom discussion in an online environment requires your active participation with classmates and your instructor to create robust interaction and dialogue.

At a minimum, you will be expected to complete three posts during the unit: one original response to the Discussion Board question and two posts responding to classmates, following these guidelines:

Your original post must be at least 200 words in length. It must reference the text or course learning materials at least once. Please note that even if the question asks for an opinion, you are still expected to support opinions with references to course materials. You may use the textbook, intellipath, M.U.S.E., or any other credible academic sources to support your opinions. Do not use Internet sources other than those provided in the course materials. In the narrative, describe where information was obtained. For example, “As mentioned in Chapter 2 of the course textbook, prioritizing tasks is…” or “As mentioned in the intellipath lesson for Unit 2…”
Your two response posts must be at least 75 words in length. Responses should contribute to the conversation by being reflective, specific, and engaging. Quick responses (such as “I agree,” or “Thank you!”) will not be counted as adequate.
Your first contribution must be posted before midnight CST (Central time) on Friday of each week. You must make two additional posts on separate days, between Saturday and Tuesday, before midnight CST. The original response and the peer responses can be completed in any order.

For assistance in supporting your assignment, please use your text and all course materials, including any materials provided by the faculty member.

Assignment Details

Research George Polya’s problem-solving principles and techniques from the AIU Library or on the Internet.

Although the scenarios below are not specific mathematical situations, they will require application of Polya’s principles to obtain a reasonable solution.

Choose 1 of the following scenarios:

You are on your way to a very important doctor’s appointment and just barely have enough time to get to the appointment. You know that if you do not get to the appointment on time, it will cost you $200 and you will not be able to get another appointment for weeks. In your haste, going through your front door, you accidentally tear a big hole in your dress or pants. What do you do now?
A recipe for a sheet cake that serves 54 people is:
• ½ cup butter
• ¼ cup oil
• 3 cups of baking flour
• 1 tablespoon baking powder
• 6 eggs
• 1 cup milk
• 2 cups sugar
• ½ teaspoon vanilla extract
After everything is mixed into a cake batter, you are supposed to pour it into a floured 12 in. by 18 in. by 1 in. sheet cake pan. However, all you have is a 9 in. by 14 in. by 1 in. pan, an 8 in. square pan 1 in. deep, and two 8 in. diameter round pans 1 in. deep. Your 46 guests will be arriving shortly, so you do not have time to go to the store to get the correct-sized pan. How will you have enough cake for each guest to have a piece without wasting too much batter?

It is after midnight, and your kitchen sink cold-water supply has sprung a leak. You know you will not be able to get a plumber to fix the sink for several hours. You do not know where the water turn-off is, and you do not have any plumbing experience. What will you do to minimize the damage?

Follow Polya’s principles to solve your problem.
o Explain your interpretation of what the problem really is about and what the consequences are if the problem is not solved (i.e., do you understand the problem?).
o Develop and write down a strategy for solving this problem. What do you need to know or do to solve this problem?
o Use your strategy to attempt to solve your chosen problem; show the steps in the correct order for your attempted solution.
o Did your strategy actually solve the problem? How do you know?
o Suppose that your solution did not solve the problem. What would be your next action?

In your own words, post a response to the Discussion Board, and comment on at least 2 other postings. You will be graded on both level of engagement and the quality of the contribution to the discussion.

Grading Rubric

Assignment Criteria Proficient Descriptor Points
Quality of Initial Response Responds accurately and completely to all parts of the question prompt.
Response is logical and thoughtful, and connects to key weekly concepts & readings. /24 pts.
Response to Peers Responds to a minimum of two peers as per stated guidelines.
Analyzes peer responses and advances the discussion by connecting to key concepts, trends, or experiences and presents relevant viewpoints for consideration by peers. /18 pts.
References & Support Original and peer responses are supported by relevant readings and other experiences as applicable to the needs of the question. /6 pts.
Participation Timeliness All required responses are posted by stated deadlines providing adequate time for others to read and respond.
Responses to peer posts are distributed throughout the week. /6 pts.
Professional Writing Response is well organized, objective, and concisely written.
Writing is clear and free of grammatical and mechanical errors.
Responses to peers demonstrate courtesy and respect for others /6 pts.
Total /60 pts.
Other Information
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