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MTH/208 Version 5 College Mathematics I

Copyright

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Edited in accordance with University of Phoenix® editorial standards and practices.
Course Description

This course begins a demonstration and examination of various concepts of algebra. It assists in building skills for performing specific mathematical operations and problem solving. These concepts and skills serve as a foundation for subsequent quantitative business coursework. Applications to real-world problems are emphasized throughout the course. This course is the first half of the college mathematics sequence, which is completed in MTH 209: College Mathematics II.

Course Topics & Objectives

Week One: Fundamentals of Expressions

• Identify real and variable elements. • Classify real numbers. • Solve problems containing fractions. • Evaluate expressions. • Apply mathematical laws and order of operations principles to solve math problems. • Create expressions using real-world applications.

Week Two: Linear Equations & Inequalities

• Evaluate forms of linear equations. • Solve linear equations. • Use equations to solve word problems and formulas. • Solve linear inequalities. • Use linear equations and inequalities in real-world applications.

Week Three: Linear Functions

• Identify the domain and range of a function, as expressed per set theory. • Evaluate forms of linear functions. • Generate graphs. • Use the midpoint formula with linear segments. • Identify slope and intercept from a linear function. • Use linear functions in real-world applications.

Week Four: Exponents & Polynomials

• Use exponents in algebraic expressions. • Apply exponential principles to scientific notation. • Simplify polynomials. • Use the distribution property with polynomials. • Perform polynomial operations. • Use exponents and polynomials in real-world applications.

Week Five: Fundamentals of College Algebra Review I

• Review all objectives from Weeks One through Four. • Analyze applications of mathematics.

Course Materials

Rockswold, G. K., & Krieger, T. A. (2009). Beginning and intermediate algebra with applications and visualization. (2nd ed.). Boston, MA: Addison-Wesley.

All electronic materials are available on your student website.

Recommended Weekly Point Values

| | |
|Week One | |
|Individual Assignment: MyMathLab® Exercises |10 |
|Week Two | |
|Individual Assignment: MyMathLab® Exercises |10 |
|Week Three | |
|Individual Assignment: MyMathLab® Exercises |10 |
|Week Four | |
|Individual Assignment: MyMathLab® Exercises |10 |
|Week Five | |
|Individual Assignment: Final Exam |20 |
|Learning Team Assignment: Sustainable Practices Presentation |20 |
|All Weeks | |
|Participation (Individual 2 points week 1 and Learning Team 2 points for week 2, 3, 4, 5) |10 |
|Discussion Questions(2 points each week) |10 |
|Assignment Totals | |
|Individual |80 |
|Learning Team |20 |
|Point Total |100 |
| | |

Week One

Fundamentals of Expressions

• Identify real and variable elements. • Classify real numbers. • Solve problems containing fractions. • Evaluate expressions. • Apply mathematical laws and order of operations principles to solve math problems. • Create expressions using real-world applications.

Course Assignments

1. Readings

• Read Ch. 1 of Beginning & Intermediate Algebra With Applications and Visualization.

2. Nongraded Activities and Preparation

• Resource: University of Phoenix Material: Using MyMathLab®

o Complete the MyMathLab® orientation by clicking on the MyMathLab® link on your student website and selecting MyMathLab® Orientation under the Homework and Tests tab.

o Complete the Week One Self-Check on MyMathLab® after completing your Week One individual assignment. Results from this self-check help to generate your study plan.

• Become familiar with the Center for Mathematics Excellence and the tutoring services available by selecting the Online Math Tutoring Available link located in Week One of the MTH/208 Web page.

3. Individual Assignment: MyMathLab® Exercises

• Complete the Week One assignment in MyMathLab®.

1. Learning Team Instructions: Learning Team Charter

• Resource: Learning Team Toolkit • Complete the Learning Team Charter.

4. Discussion Questions

• Using the readings in Ch. 1, identify and explain at least one real-world application of mathematical concepts covered in the text, for one of the following areas: business, health and wellness, science, sports, and environmental sustainability. Do you think it is easier to relate this concept to one of these areas over any other? Explain why.

• What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography. Why do you think prime numbers would be more useful for the creation of codes than composite numbers?

• What are the differences among an algebraic expression, an equation, and a formula? Under what circumstances would you use each of these? Why do you think these are sometimes confused?

• What is the multiplicative inverse or reciprocal? Why is it useful to know what a reciprocal is? How might you explain it to a child who does not yet understand multiplication?

• Why is it important to follow the order of operations? What are some of the possible outcomes when order of operations is ignored? If you were to invent a new notation where order of operations was made clear, what would you do to make it clear?

• Explain the main differences among integers, rational numbers, real numbers, and irrational numbers. How are these used in everyday life? How would you explain the use of each to someone who did not know about the differences?

Week Two

Linear Equations & Inequalities

• Evaluate forms of linear equations. • Solve linear equations. • Use equations to solve word problems and formulas. • Solve linear inequalities. • Use linear equations and inequalities in real-world applications.

Course Assignments

1. Readings

• Read Ch. 2 of the text.

5. Nongraded Activities and Preparation

• Complete the Week Two Self-Check on MyMathLab® after completing your Week Two individual assignment. Results from this self-check help to generate your study plan. Refer to the University of Phoenix Material: Using MyMathLab® for more information.

6. Individual Assignment: MyMathLab® Exercises

• Complete the Week Two assignment in MyMathLab®.

2. Learning Team Instructions: Week Two Learning Team Exercises

• Complete the Week Two Learning Team Exercises presented by your facilitator.

7. Discussion Questions

• Using the readings in Ch. 2 of the text, identify and explain at least one real-world application of algebraic concepts for one of the following areas: business, health and wellness, science, geometry, sports, and environmental sustainability. Did you have any difficulty with this activity? Explain why or why not.

• If the cost of a cell phone has decreased 400% during the past 10 years, does that correspond to a cost decrease of four times? Explain your answer as though you were talking to someone who has never taken algebra.

• Can a linear equation and a linear equality be solved the same way? Explain why. What makes them different?

• What are the four steps for solving an equation? Should any other factors be accounted for when solving an equation? Should any factors be accounted for when explaining how to solve an equation?

• Identify and explain the four steps for solving a problem. Should any other factors be accounted for when solving a problem? Should any factors be accounted for when explaining how to solve a problem?

Week Three

Linear Functions

• Identify the domain and range of a function, as expressed per set theory. • Evaluate forms of linear functions. • Generate graphs. • Use the midpoint formula with linear segments. • Identify slope and intercept from a linear function. • Use linear functions in real-world applications.

Course Assignments

1. Readings

• Read Ch. 3 of the text. • Read parts 8.1 and 8.2 in Ch. 8 of the text.

8. Nongraded Activities and Preparation

• Complete the Week Three Self-Check on MyMathLab® after completing the Week Three individual assignment. Results from this self-check help to generate your study plan. Refer to the University of Phoenix Material: Using MyMathLab® for more information

9. Individual Assignment: MyMathLab® Exercises

• Complete the Week Three assignment in MyMathLab®.

3. Learning Team Instructions: Week Three Learning Team Exercises

• Complete the Week Three Learning Team Exercises presented by your facilitator.

10. Learning Team Instructions: Sustainable Practices Presentation Delivery

• Read the Learning Team Assignment due in Week Five. • Select a method for delivering this presentation and seek faculty approval.

11. Discussion Questions

• Using the readings in Ch. 3 of the text, identify and explain at least one real-world application of algebraic concepts for one of the following areas: business, health and wellness, science, sports, and environmental sustainability. Do you think it is easier to relate this concept to one of these areas over any other? Explain why.

• Imagine that a line on a Cartesian graph is approximately the distance y in feet a person walks in x hours. What does the slope of this line represent? How is this graph useful? Provide another example for your colleagues to explain.

• Can one line have two slopes? Explain how or why not.

• What is the difference between a scatterplot and a line graph? Provide an example of each. Does one seem better than the other? In what ways is it better?

• If a line has no y-intercept, what can you say about the line? What if a line has no x-intercept? Think of a real-life situation where a graph would have no x- or y-intercept. Will that always be true for that situation?

• Explain the concept of modeling. How does a model describe known data and predict future data? How do models break down? Can you think of an example?

• What are the differences among expressions, equations, and functions? Provide examples of each.

Week Four

Exponents & Polynomials

• Use exponents in algebraic expressions. • Apply exponential principles to scientific notation. • Simplify polynomials. • Use the distribution property with polynomials. • Perform polynomial operations. • Use exponents and polynomials in real-world applications.

Course Assignments

1. Readings

• Read Ch. 5 of the text.

4. Nongraded Activities and Preparation

• Complete the Week Four Self-Check on MyMathLab® after completing the Week Four individual assignment. Results from this self-check help to generate your study plan. Refer to the University of Phoenix Material: Using MyMathLab® for more information

12. Individual Assignment: MyMathLab® Exercises

• Complete the Week Four assignment in MyMathLab®.

5. Learning Team Instructions: Week Four Learning Team Exercises

• Complete the Week Four Learning Team Exercises presented by your facilitator.

6. Discussion Questions

• Using the readings in Ch. 5 of the text, identify and explain at least one real-world application of algebraic concepts for one of the following areas: business, health and wellness, and environmental sustainability. Do you think it is easier to relate this concept to one of these areas over any other? Explain why.

• What four-steps should be used in evaluating expressions? Can these steps be skipped or rearranged? Explain your answers.

• Do you always use the property of distribution when multiplying monomials and polynomials? Explain why or why not. In what situations would distribution become important?

• What are the practical usages of scientific notation? Why is scientific notation so important in our modern day society? What would be the value of expressing something like the national debt in scientific notation? What information would be lost in such a usage? Is that important? Explain why or why not.

• Imagine your younger relative—of middle school age—was taking an algebra course and asked for your help. How would you teach the multiplication of polynomials to her?
Week Five

Fundamentals of College Algebra Review I

• Review all objectives from Weeks One through Four. • Analyze applications of mathematics.

Course Assignments

1. Readings

• Review all chapters from earlier weeks.

7. Nongraded Activities and Preparation

• Complete the Week Five Self-Check on MyMathLab® after completing the Week Five individual assignment. Results from this self-check help to generate your study plan. Refer to the University of Phoenix Material: Using MyMathLab® for more information.

13. Individual Assignment: Final Exam

• Complete the Final Exam in MyMathLab®.

8. Learning Team Instructions: Week Five Learning Team Exercises

• Complete the Week Five Learning Team Exercises presented by your facilitator.

9. Learning Team Assignment: Sustainable Practices Presentation

• Select one of the three fields related to sustainability listed below and read the corresponding scenario.

o Health Care Economical Sustainability

Imagine you own a health and wellness company. Your company employs numerous fitness trainers and exercise professionals. As part of your company's community outreach program, you have agreed to visit a meeting of the local nurses association. Your audience is personal trainers, nutritionists, and nurses. They require that all presentations include mathematical reasoning and concepts as part of the rationale. o Financial Sustainability

Imagine you work as a business consultant. Companies and governmental entities hire your firm to make recommendations for streamlining business operations, such as to make companies more fiscally sound. You are asked by your supervisor to present at a local business conference on the subject of financial sustainability. Your audience is business analysts who are expecting your explanation to include mathematical rationale. You may address business issues related to private businesses, governmental operations, or personal finances.

o Environmental Sustainability

Imagine you work for the Environmental Protection Agency in the External Affairs Division (such as the Public Relations Division). Your job is to educate the public on environmental matters, including environmental sustainability. Your boss, the Director of External Affairs, asks you to visit a local high school on career day and present information relating to your field. The school has requested that the presentation relate to math, as you will be presenting during National Mathematics Awareness Week.

• Refer to the University of Phoenix Material: Sustainability Problems. Various problems from each field are provided to you for examples.

• Select 3 to 5 concepts from Weeks One through Four that could be applied in the field you selected.

• Create a presentation that shows how these concepts apply to the field.

• Include the following in your presentation

o An overview of the field including a definition of sustainability o An introduction to the mathematical concepts o An explanation of how math is used in the field using at least four concepts from the text

• Cite at least two sources in your presentation.

• Present your activity using a multimedia application. Seek faculty approval for your chosen multimedia application by Week Three.

o For Local Campus students, these are oral presentations of approximately 15 to 20 minutes. o For Online and Directed Study students, these are multimedia presentations with detailed speaker notes.

• Examples of multimedia presentation tools include the following:

o Voki™ speaking avatars o Microsoft® PowerPoint® presentations of at least 7 slides with detailed speaker notes o Prezi™ presentations o VoiceThread™ collaborative multimedia slide shows o Digital Storytellersm movies o Glogster™ interactive posters o Websites

10. Discussion Questions

• Using the readings discussed in this course, provide one real-world application of the information learned that has been the most valuable to you? Why has it been valuable?

• How do you think you will use the information you learned in this course in the future? Which concepts will be most important to you? Which will be the least important? Explain your answers.

• If your son or daughter asked you why they needed to learn math in school, what would you tell them?

• Provide one real-world example of when graphing could be useful. Do you think you would ever use graphing in your life to solve problems? Explain why or why not.

• What one concept learned in this course was the easiest for you to grasp? Why do you think it was easy for you? Which was the hardest? What would have made it easier to learn?

• Knowing what you know now about mathematics, how would you explain to a friend the value of mathematics in everyday life?

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...When I first ran away, it was the end of July, 2009. I was 13 years old. I couldn't take my life at home anymore. My parents were always running my life and telling me what I can and can't do. I wanted things my own way...I ended up going to 3 of my friends' houses hoping they'd never catch me. I didn't have that much money with me and I wondered how I was going to make it. When it got dark, I didn't know where to sleep. I finally called my parents and went home but they never let that day go. I wanted to though.  When I went to school, my friend Kristina and I would always skip classes just for the fun of it. At least that's what she thought. The real reason I wanted to get away because I hated school. Bi hated the teachers some of the other students besides my friends. I was so bored every day and started acting out. I started hanging with the bad crowd and starting doing things I knew I shouldn't be doing. So when she and I would run away from school we would have the thrill of our lives. Going through shopping centers or just having fun doing bad things being around the neighborhoods was all I need to feel better about myself.  Apparently, I never learned my lesson. I ran away from home a second time. I went to a friend who I thought I could trust, my friend Christian. I was suicidal at the time so I could have killed myself when I had the chance. I don't know why I really ran way that day. I wanted to get away from my parents I guess. Do you ever have parents who think...

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