Estimation is a tool that allows you to find answers quickly. In situations where you only need an approximate idea of how much something is, estimation will do the trick.
Estimation is a tool that allows you to find answers quickly. In situations where you only need an approximate idea of how much something is, estimation will do the trick.
Initial Response Post:
Your friend Amanda’s home flooded recently, and all her furniture was ruined. You and several of her closest friends have joined together to raise money to buy her a new set of living room furniture. You have been tasked with estimating how much money should be raised.
Explore living room furniture purchase options online. Choose at least six pieces of furniture. In your post, you will list each item, include the item URL, and include the approximate cost of the item rounded to the nearest $100. Calculate the estimated total of your purchase.
Do you feel this is a reasonable estimate for what must be purchased? Explain.
Review an example of an initial response for this Discussion.
Peer Reply 1:
It is your task to determine approximately how much money you need to raise in order to achieve the fundraising goal. Find a classmate’s initial post that has not yet been replied to by a fellow classmate.
Estimate the number of months it will take for the flood damage to be repaired as a number between 6-18 months. In a few sentences, describe how you arrived at your estimate by making up a story about the amount of damage that has occurred.
Use your classmate’s fundraising estimate to approximate how much you will need to raise each month so that when the home is move-in ready you have the cash to give for the purchase of new furniture.
Review an example of a peer reply 1.
Peer Reply 2:
Find a thread in the Discussion Board that you find interesting and join the conversation by replying to a post. Post several sentences on this topic that are thoughtful and advance the discussion mathematically.
Discussion Overview/Directions
In this unit’s Discussion, you will interact with your classmates on the course content. Remember, your goal for Discussion Assignments is to ensure that:
Responses are on topic, original, and contribute to the quality of the Discussion.
Responses make frequent, informed references to unit material.
Responses are clearly written.
You submit two or more Discussion Board replies to classmates as described in the Discussion Question that are thoughtful and advance the Discussion.
Keep in mind that when you post, you should include references to the textbook and any material found online. The class is all about sharing knowledge, so use Discussions as a way of creating a community resource for yourself and your classmates.
MM150 Survey of Mathematics
Unit 2 Discussion
Budgeting:
Budgeting is a tool that helps you plan where your money gets spent. It is a process that allows you to determine whether or not you will have the funds to do the things you want to do. You can use this tool to focus your spending on the things that are most important to you.
Initial Response Post:
Do an internet search and find the starting salary for the job you hope to get with your degree. In your post describe your profession and what starting salary you found and include the internet link. Deduct 25% from your starting salary for taxes/insurance/etc. Take what is left and divide by 12 to get your monthly take-home pay.
Next, create a budget. Estimate what percentages you will need to spend on the following categories: Housing, Insurance, Food, Utilities, Transportation, Giving/Saving, and Personal. Your percentages must add up to 100% and you must have at least 5% for each listed category.
Apply your estimated percentages to your monthly take-home pay to determine the dollar amount you can spend in each category.
Did your results surprise you in any way? Explain.
Review an example of an initial response for this Discussion.
Peer Reply 1:
Your classmate is doing such a great job at his/her new profession that s/he is getting a 10% raise! Find a classmate’s initial post that has not yet been replied to by a fellow classmate and reply to his/her initial post. In your reply, calculate his/her new salary. Congratulate your classmate on a job well done.
Using several sentences, discuss how you would allocate the new funds in the budget your classmate has created.
Review an example of a peer reply 1.
Peer Reply 2:
Find a thread in the Discussion Board that you find interesting and join the conversation. Post several sentences on this topic that are thoughtful and advance the discussion mathematically.
Discussion Overview/Directions
In this unit’s Discussion, you will interact with your classmates on the course content. Remember, your goal for Discussion Assignments is to ensure that:
Responses are on topic, original, and contribute to the quality of the Discussion.
Responses make frequent, informed references to unit material.
Responses are clearly written.
You submit two or more Discussion Board replies to classmates as described in the Discussion Question that are thoughtful and advance the Discussion.
Keep in mind that when you post, you should include references to the textbook and any material found online. The class is all about sharing knowledge, so use Discussions as a way of creating a community resource for yourself and your classmates.
MM150 Survey of Mathematics
Unit 3 Discussion
Linear Equations:
Linear equations allow you to use math to model the real world. Linear equations can be used to determine the sale price of a hoodie on clearance, the cost of a taxi ride, or how many plants to buy to border a walkway. In the Unit 3 Discussion Board, you will use what you know about linear equations to negotiate a salary.
Initial Response Post:
You are the owner of a business and you must hire a new salesperson. You need to advertise the salary you will offer for the position. To determine the pay package, use the equation P = a + rs where P is the pay, a is the annual salary, r is the commission rate (written as a decimal) earned on sales, and s is sales for the year.
Choose an annual salary, a, between $40,000 and $70,000.
Choose a commission rate, r, between 2% and 10%.
Choose annual sales, s, between $100,000 and $1,000,000.
Calculate the pay package making sure to show the original equation and all steps to solve the equation. Write a few sentences advertising the sales position at your company.
Review an example of an initial response for this Discussion.
Peer Reply 1:
Congratulations! You have been offered the new sales position. You have an appointment with the hiring manager next week to negotiate your pay package. You are so confident in your ability to sell that you would like to counter the offer with an alternative pay packet that has a reduction in the base pay, but an increase in the commission rate. Find a classmate’s initial post that has not yet been replied to by a fellow classmate. Use this classmate’s response as the pay package you have been offered. Modify it this way:
Decrease the offered annual salary, a, by $10,000.
Increase the commission rate, r, so that you will receive an increase in your overall annual pay.
Keep sales, s, the same.
Calculate your alternative pay package making sure to show the original equation and all steps to solve the equation. Then, write a few sentences to show your employer how this alternative pay package benefits both of you.
Review an example of a peer reply 1.
Peer Reply 2:
Find a thread in the Discussion Board that you find interesting and join the conversation. Post several sentences on this topic that are thoughtful and advance the discussion mathematically.
Discussion Overview/Directions
In this unit’s Discussion, you will interact with your classmates on the course content. Remember, your goal for Discussion Assignments is to ensure that:
Responses are on topic, original, and contribute to the quality of the Discussion.
Responses make frequent, informed references to unit material.
Responses are clearly written.
You submit two or more Discussion Board replies to classmates as described in the Discussion Question that are thoughtful and advance the Discussion.
Keep in mind that when you post, you should include references to the textbook and any material found online. The class is all about sharing knowledge, so use Discussions as a way of creating a community resource for yourself and your classmates.
MM150 Survey of Mathematics
Unit 4 Discussion
Linear Equations and Inequalities:
Linear equations are a great way to determine the pace at which something is changing. The rate of change, or slope, can determine how quickly something is increasing or decreasing.
Initial Response Post:
You are on the local zoning council in your city. The council needs to determine how rapidly the population in your city is increasing or decreasing. This will allow the council to determine the future needs of the city. You are going to determine the rate of change in population of your city. Include the name of your city and state in your post.
Do an internet search to find the population of your city in 2015. Write this as an ordered pair (2015, population).
Find the current population of your city. Write this as an ordered pair (current year, current population).
Use the slope formula to determine the rate of increase/decrease, or slope, of a line drawn between the points that represent the population of 2015 and the current population. Round your answer to two decimal places. Show all the steps you used to arrive at this answer.
Is the population of your city increasing or decreasing? Does the rate of increase or decrease seem high, low, or somewhere in between? Use the rate of increase or decrease to make a recommendation to the council of your city on what the future needs of your city might be.
Review an example of an initial response for this Discussion.
Peer Reply 1:
You are on the same local zoning council as your fellow classmate. You appreciate the information that your fellow council person has presented, but you feel that a little more information is needed before the council can go forward. Find a classmate’s initial post that has not yet been replied to by a fellow classmate.
Do an internet search and find the population of your classmate’s city in the year 2000. Write this as an ordered pair (2000, population).
Use the slope formula to recalculate the rate of increase/decrease, or slope, of a line drawn between the points that represent the population of 2000 and the current population as given in your classmate’s initial post. Round your answer to two decimal places. Show all the steps you used to arrive at this answer.
Write an inequality comparing your classmate’s slope to the slope you calculated. For example: 3.45 > 1.79
Based on the new information you have gathered; would you like to recommend something different or improve upon your classmate’s recommendation to the city council?
Review an example of a peer reply 1.
Peer Reply 2:
Find a thread in the Discussion Board that you find interesting and join the conversation. Post several sentences on this topic that are thoughtful and advance the discussion mathematically.
Discussion Overview/Directions
In this unit’s Discussion, you will interact with your classmates on the course content. Remember, your goal for Discussion Assignments is to ensure that:
Responses are on topic, original, and contribute to the quality of the Discussion.
Responses make frequent, informed references to unit material.
Responses are clearly written.
You submit two or more Discussion Board replies to classmates as described in the Discussion Question that are thoughtful and advance the Discussion.
Keep in mind that when you post, you should include references to the textbook and any material found online. The class is all about sharing knowledge, so use Discussions as a way of creating a community resource for yourself and your classmates.
MM150 Survey of Mathematics
Unit 5 Discussion
Consumer Math:
Being involved in your local community is important for a variety of reasons. It affords you the opportunity to connect with, help, and strengthen the lives of others. It can give you a sense of satisfaction and accomplishment as you form bonds with your neighbors. If you find a need in your community, it is a good idea to collect data regarding that need. The data may reinforce your idea that there is a need or it may even point you in a different direction of need. Using a data-driven approach to solve a community problem will help you be successful.
Initial Response Post:
For the Unit 5 Discussion Board, you will write and post an essay about civic participation. Propose a community program that you would like to kick start. Choose something you are passionate about: health care, sports, politics, education, community outreach, crime prevention, beautification, animals, etc. It can be something you do once or something you do on an ongoing basis.
Your 250 word minimum essay should include:
A brief overview of the community program you would like to kick start.
Proposed budget percentages for your program to help prepare for fundraising (administrative costs, supplies, rent, advertising, etc.).
Proposed number of volunteers needed for your program. Also calculate the percentage of volunteers based on total number of people in the community (number of volunteers ÷ population of community).
Estimated percentage of people (or animals) in the community that would benefit from the program.
Every piece of writing should have an introduction, body, and conclusion. A good way to plan this particular reflective essay is to write an introduction to the essay. Next, write at least three body paragraphs. Finish with your conclusion paragraph.
Your essay and outside sources for this essay need to be cited in proper APA format. You can find numerous APA resources in the Academic Success Center Reference Library on the Research, Citation, and Plagiarism page. https://campus2.purdueglobal.edu/page/using-sources
Your essay should include a highly developed purpose and viewpoint; it should also be written in Standard English and demonstrate exceptional content, organization, style, grammar, and mechanics. There should be no evidence of plagiarism. If you are unsure about what constitutes plagiarism, please review the plagiarism policy.
Peer Reply 1:
You are a reporter for the local newspaper or television network in your community. The kick start community program run by your fellow classmate is doing better than expected. Because of that, a new budget is being proposed for the upcoming fiscal year.
In your reply, report on an actual percentage of people (or animals) benefiting from the current program, a new percentage of volunteers needed for the program in the future, and new budget percentages for the program for the upcoming fiscal year.
Peer Reply 2:
Find a thread in the Discussion Board that you find interesting and join the conversation. Post several sentences on this topic that are thoughtful and advance the discussion.
MM150 Survey of Mathematics
Unit 6 Discussion
Consumer Math
When you start saving for retirement can have a huge impact on your lifestyle once you retire.
Initial Response Post:
Open the Investment Calculator.
Enter an amount between $100 and $500 that you think you can afford to save each month for retirement into the spreadsheet.
Calculate how many years it will be until you reach age 67. Enter this amount into the spreadsheet.
Choose an interest rate between 1% and 7% and enter it into the spreadsheet.
Add 10 years to your previous age calculation to determine how much more you could have accumulated if you started 10 years ago.
The investment calculator will show you how much you can save if you invest today and how much you could have accumulated if you had started your investing 10 years ago. In your post, list the amounts you chose and calculated. Also state the results of your two investments.
How much more would you have for your retirement if you had started saving 10 years ago? Did the results surprise you in any way? Explain. Do you think the amounts you have calculated will be enough to retire on?
Review an example of an initial response for this Discussion.
Peer Reply 1:
You are an investment advisor to your fellow classmate. After doing these calculations, your classmate is upset to learn how much more could have been accumulated with 10 more years of investing. You can help! Find a classmate’s initial post that has not yet been replied to by a fellow classmate.
Open the Reply 1 Investment Calculator.
Enter the total amount that would have been saved by investing 10 years ago from your classmate’s post.
Enter the same interest rate your classmate chose for their investing.
Enter the number of years it will be from now until your classmate turns 67.
The spreadsheet calculates the amount of money your fellow classmate will need to save each month in order to obtain the same future amount as if s/he had started saving 10 years ago.
Explain to your fellow classmate that all is not lost. Share the amount you calculated in your spreadsheet and explain how s/he can arrive at the desired future value.
Has doing these calculations inspired you to start saving more for retirement? What might you tell someone younger than you about saving early for retirement?
Review an example of a peer reply 1.
Peer Reply 2:
Find a thread in the Discussion Board that you find interesting and join the conversation by replying to a post. Post several sentences on this topic that are thoughtful and advance the discussion mathematically.
**If you would like to do further research on this topic, the Initial Response Post uses the formula for the Future Value of an Annuity. The Peer Reply 1 uses the formula for Sinking Fund.
Discussion Overview/Directions
In this unit’s Discussion, you will interact with your classmates on the course content. Remember, your goal for Discussion Assignments is to ensure that:
Responses are on topic, original, and contribute to the quality of the Discussion.
Responses make frequent, informed references to unit material.
Responses are clearly written.
You submit two or more Discussion Board replies to classmates as described in the Discussion Question that are thoughtful and advance the Discussion.
Keep in mind that when you post, you should include references to the textbook and any material found online. The class is all about sharing knowledge, so use Discussions as a way of creating a community resource for yourself and your classmates.
MM150 Survey of Mathematics
Unit 7 Discussion
The Metric System
When you plan for a long trip, one thing to consider is your gas budget. You can use the measuring techniques from this unit to determine how much you will spend on gas for a trip.
Initial Response Post:
Congratulations! You are graduating from Purdue Global and plan to participate in the graduation ceremony in Indianapolis. The United States has just converted to the metric system and you need to plan your trip.
State your current city.
Determine the number of kilometers between your current city and Indianapolis, Indiana for a round trip. (Change the settings on your favorite online mapping service from miles to kilometers).
A popular mid-size SUV has a fuel efficiency of 11.7 L of gas per 100 km driven. Multiply the number of kilometers you have to drive by 11.7 / 100 to determine the number of liters of gas you will need to purchase for your trip.
Convert your result from #2 above from km to m. Convert your result from #3 above from L to hL.
Discuss what you think would be the hardest to get used to when planning trips if the United States would convert to the metric system.
Review an example of an initial response for this Discussion.
Peer Reply 1
Choose one classmate to pick up on your way to Indianapolis. Calculate the total distance of the round trip in kilometers and meters.
Discuss some adjustments that you would need to make if the United States did decide to convert to the metric system.
Review an example of a peer reply 1.
Peer Reply 2
Find a thread in the Discussion Board that you find interesting and join the conversation. Post several sentences on this topic that are thoughtful and advance the discussion mathematically.
Discussion Overview/Directions
In this unit’s Discussion, you will interact with your classmates on the course content. Remember, your goal for Discussion Assignments is to ensure that:
Responses are on topic, original, and contribute to the quality of the Discussion.
Responses make frequent, informed references to unit material.
Responses are clearly written.
You submit two or more Discussion Board replies to classmates as described in the Discussion Question that are thoughtful and advance the Discussion.
Keep in mind that when you post, you should include references to the textbook and any material found online. The class is all about sharing knowledge, so use Discussions as a way of creating a community resource for yourself and your classmates.
MM150 Survey of Mathematics
Unit 9 Discussion
Probability
Probability originated from the study of games of chance. Games of chance can involve coins, dice, playing cards, a game spinner, etc. For this discussion, you will conduct an experiment using a coin, and then use the results of the experiment to learn more about probability and odds.
Initial Response Post
Your friend Jacob goes by the mantra “tails never fails”. You are going to use this Discussion to test this theory.
Name your favorite musician, actor, author or artist and do an internet search to find his or her age. Flip a coin one time for each year the person is old. If s/he is 43, flip the coin 43 times. Record the number of tails you obtain.
Use your results to state the empirical probability that the coin will land on tails expressed as a fraction, a decimal, and a percentage. Round your answers to two decimal places, if necessary.
Based on your experiment, did you find that “tails never fails”? Explain the difference between theoretical and empirical probability to your friend Jacob. In your explanation, state the theoretical probability of getting a tail when flipping a coin and compare it to the empirical results you got from your experiment.
Review an example of an initial response for this Discussion.
Peer Reply 1
Experimental probability gets closer to theoretical probability the more times you do an experiment. Find a classmate’s post that has not been replied to. Combine the results from your initial response post with your classmate’s results and recalculate the empirical probability of getting a tail when flipping a coin. Did the combined results get you closer to the theoretical probability of getting a tail when flipping a coin? Explain.
Use the combined data to also calculate the odds in favor of getting a tail when flipping a coin showing all your steps.
Review an example of a peer reply 1.
Peer Reply 2:
Find a thread in the Discussion Board that you find interesting and join the conversation by replying to a post. Post several sentences on this topic that are thoughtful and advance the discussion mathematically.
Discussion Overview/Directions
In this unit’s Discussion, you will interact with your classmates on the course content. Remember, your goal for Discussion Assignments is to ensure that:
Responses are on topic, original, and contribute to the quality of the Discussion.
Responses make frequent, informed references to unit material.
Responses are clearly written.
You submit two or more Discussion Board replies to classmates as described in the Discussion Question that are thoughtful and advance the Discussion.
Keep in mind that when you post, you should include references to the textbook and any material found online. The class is all about sharing knowledge, so use Discussions as a way of creating a community resource for yourself and your classmates.
MM150 Survey of Mathematics
Unit 10 Discussion
Statistics
In today’s world you are inundated with statistics. Being able to understand the terminology and sort through the data in a way that gives you an accurate picture of the results is an important skill to have.
Initial Response Post
You are searching for a home in your area. A realtor has given you the median home price for the area. You would like to determine whether the mean, median, or mode home price best represents home prices in your area.
Find a website that will allow you to search home prices in your area using specific criteria. Choose at least three criteria (number of bedrooms, square footage, lot size, garage size etc.) to narrow your search and find the prices of at least 10 homes. Do not use price as one of the criteria as you need a variety of prices to come to a conclusion about housing prices in the area.
List the criteria you chose.
List the prices of the homes that you found (include the URL in your post).
Calculate the mean, median, and mode of your home prices showing all steps used.
Explain which of the three measurements you feel best represents the home prices in your area and why.
Review an example of an initial response for this Discussion.
Peer Reply 1
The addition of even one piece of data to a collection of data can have a significant impact on the calculations of mean, median, and mode. Find a classmate’s post that has not been replied to. Use the same criteria that your classmate used in their home search to search homes in your area.
List the price of the first home that appears in your search. Without doing the actual calculation, describe what you think will happen to the mean, median, and mode if you were to add your home price to the home price data collected by your fellow classmate. Do you think you will see a significant increase/decrease, a slight increase/decrease, or no change?
Review an example of a peer reply 1.
Peer Reply 2:
Find a thread in the Discussion Board that you find interesting and join the conversation by replying to a post. Post several sentences on this topic that are thoughtful and advance the discussion mathematically.
Discussion Overview/Directions
In this unit’s Discussion, you will interact with your classmates on the course content. Remember, your goal for Discussion Assignments is to ensure that:
Responses are on topic, original, and contribute to the quality of the Discussion.
Responses make frequent, informed references to unit material.
Responses are clearly written.
You submit two or more Discussion Board replies to classmates as described in the Discussion Question that are thoughtful and advance the Discussion.
Keep in mind that when you post, you should include references to the textbook and any material found online. The class is all about sharing knowledge, so use Discussions as a way of creating a community resource for yourself and your classmates.
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