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Course SyllabusMath/208 Version R6

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Course SyllabusCollege Of Natural Sciences

Math/208 Version R6College Mathematics I (Algebra I)

Group ID: LBSB06MTHInstructor: Robert Katz

Copyright © 2010, 2009, 2005, 2003, 2002 by University of Phoenix. All rights reserved.

Workshop 1 Detailed AgendaWorkshop 2 Detailed AgendaWorkshop 3 Detailed AgendaWorkshop 4 Detailed AgendaWorkshop 5 Detailed Agenda

Course Description

This course begins a demonstration and examination of various concepts of basic 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. Specific applications to disciplines such as statistics, accounting, finance, and economics are demonstrated and discussed. A variety of other applications, such as geometry, personal finance, science, and engineering are also presented. This course is the first half of the college algebra sequence, which is completed in MATH 209: College Mathematics II. Math is a language of logical thinking using symbols and numbers to quantify.

Policies

Faculty and students/learners will be held responsible for understanding and adhering to all policies contained within the following two documents:

University policies: You must be logged into the student website to view this document. Instructor policies: This document is posted in the Course Materials forum.

University policies are subject to change. Be sure to read the policies at the beginning of each class. Policies may be slightly different depending on the modality in which you attend class. If you have recently changed modalities, read the policies governing your current class modality.

Course Materials

Rockswold, G. K., & Krieger, T. A. (2013). Beginning and intermediate algebra with applications and visualization. (3rd ed.). Boston, MA: Addison-Wesley.

All electronic materials are available on the student Course Materials website.

Weekly Point Values

Week One Individual Assignment: MyMathLab® Orientation (Due in Week 1) 1Individual Assignment: Week 1 MyMathLab® Exercises (Due in Week 2) 5Individual Assignment: Week 1 MyMathLab® Study Plan (Due in Week 2) 1Individual Assignment: Week 1 MyMathLab® Self-Check (Due in Week 2) 2Learning Team Chapter 1 Exercises (Due in Week 2) 5

https://ecampus.phoenix.edu/secure/aapd/policies/

http://www.speakeasy.org/~arkay/math208agenda5.html






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Learning Team (Chapter 1) In-Class Discussion Questions (Due in Week 1) 1Learning Team Chapter 1 In-Class Prepared Discussion Questions (Due in Week 2) 1

Week Two Individual Assignment: Week 2 MyMathLab® Exercises (Due in Week 3) 4Individual Assignment: Week 2 MyMathLab® Study Plan (Due in Week 3) 1Individual Assignment: Week 2 MyMathLab® Self-Check (Due in Week 3) 2Individual in class Quiz 2 5Learning Team Chapter 2 Exercises (Due in Week 3) 5Learning Team Chapter 2 In-Class Prepared Discussion Questions (Due in Week 3) 1

Week Three Individual Assignment: Week 3 MyMathLab® Exercises (Due in Week 4) 4Individual Assignment: Week 3 MyMathLab® Study Plan (Due in Week 4) 1Individual Assignment: Week 3 MyMathLab® Self-Check (Due in Week 4) 2Individual in class Quiz 3 5Learning Team Chapter 3, 8.1-8.2 Exercises (Due In Week 4) 5Learning Team Chapter 3, 8.1-8.2 In-Class Prepared Discussion Questions (Due in Week 4) 1

Week Four Individual Assignment: Week 4, 5 MyMathLab® Exercises (Due in Week 5) 4Individual Assignment: Week 4, 5 MyMathLab® Study Plan (Due in Week 5) 1Individual Assignment: Week 4, 5 MyMathLab® Self-Check (Due in Week 5) 2Indiviidual in class Quiz 4 5Learning Team Exercises Chapter 4, 5.1, 5.5 (Due in Week 5) 5Learning Team Chapter 4, 5.1,5.5 In-Class Prepared Discussion Questions (Due in Week 5) 1

Week Five Individual in-class Final Exam 20

All Weeks Participation (Individual and Learning Team) 10

Assignment TotalsIndividual 75Learning Team 25

Point Total 100

The Course At A Glance

When Due: Workshop 1 Workshop 2 Workshop 3Readings Chapter 1 Chapter 2 Chapter 3; Chapter 8.1,

8.2Individual Assignments

Access My MathLab; Do Orientation Exercises

My MathLab Week 1 Exercises: about Real Numbers And their properties; Self-Check

My MathLab Week 2 Exercises: about solving linear equations and inequalities; Self-Check

Team Assignments “Other” Discussion Questions

Week 1 Exercises; In-Class Prepared Discussion Questions;

Week 2 Exercises; In-Class Prepared Discussion Questions

Assessments Quiz 2 Quiz 3


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When Due: Workshop 4 Workshop 5Readings Chapter 4, 5.1, 5.5 Review all readings for Final Exam Individual Assignments

My MathLab Week 3 Exercises: Linear Equations (and inequalities) in 2 variables and their graphs; Self-Check

My MathLab Week 4 Exercises: Two Equations with Two Unknowns; Exponents; Self-Check

Team Assignments Week 3 Exercises; In-Class Prepared Discussion Questions

Week 4 Exercises; In-Class Prepared Discussion Questions

Assessments Quiz 4 Final Exam

Week One: Fundamentals Of ExpressionsDetails Due Points

Objectives 1.1 Identify variables, coefficients, and constants.1.2 Simplify algebraic expressions by combining like terms.1.3 Evaluate expressions.1.4 Solve problems using order of operations.1.5 Apply properties of real numbers to algebraic expressions.1.6 Translate English phrases to algebraic expressions.

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

Workshop Week 1

Readings Read the University of Phoenix Material: MyMathLab® Study Plan. Workshop Week 1

Individual 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.

Become familiar with the Center for Mathematics Excellence located in the Library and the tutoring services available by selecting the Live Math Coaching Learn More Tutoring Link.

To brush up on your prior Math Skills, access the Step-By-Step Math Review for MTH/208 in the Center for Mathematics Excellence located in the library tab.

Access to the Khan Academy Videos is found by running www.khanacademy.org in your Firefox or Chrome Browser, and clicking on the suggested topic.

Workshop Week 1

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Nongraded Activities and PreparationFractions

Watch the “Fractions” video located on the student website.

Nongraded Activities and PreparationEquivalent Fractions

Watch the Khan Academy’s “Equivalent Fractions” video located on the student website.

Nongraded Activities and PreparationAdding Fractions with Unlike Denominators

Watch the Khan Academy’s “Adding Fractions with Unlike Denominators” video located on the student website.

Nongraded Activities and PreparationSubtracting Fractions

Watch the Khan Academy’s “Subtracting Fractions” video located on the student website.

Nongraded Activities and PreparationMultiplying Fractions

Watch the Khan Academy’s “Multiplying Fractions” video located on the student website.

Nongraded Activities and PreparationDividing Fractions

Watch the Khan Academy’s “Dividing Fractions” video located on the student website.

Nongraded Activities and PreparationMixed Numbers and Improper Fractions

Watch the Khan Academy’s “Mixed Numbers and Improper Fractions” video located on the student website.

Nongraded Activities and PreparationAdding Mixed Numbers

Watch the Khan Academy’s “Adding Mixed Numbers” video located on the student website.

Nongraded Activities and PreparationOrder of Operations Example

Watch the Khan Academy’s “Order of Operations Example” video located on the student website.

Nongraded Activities and Preparation

Watch the Khan Academy’s “Evaluating an Expression with Multiple Variables” video located on the student website.


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Evaluating an Expression with Multiple Variables

Nongraded Activities and PreparationSimple Equations

Watch the Khan Academy’s “Simple Equations” video located on the student website.

IndividualMyMathLab® Exercises

MyMathLab® Exercises: Complete the Week One assignment in MyMathLab® . (Due in Workshop Week 2)

Workshop Week 2

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IndividualWeek One Study Plan

Review your Study Plan in MyMathLab® after completing the homework assignment for the week. Select topics from this week's materials in your study plan that have been highlighted for further review. Continue working on these topics until you add a minimum of five new correct topics to your Study Plan report. (Due in Workshop Week 2)

Workshop Week 2

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IndividualWeek One Self-Check

Complete the Week One self-check in MyMathLab®. (Due in Workshop Week 2)

Workshop Week 2

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Participation Participate in class discussion. Workshop Week 1

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Learning Team 1. Learning Team Charter

Resource: Learning Team Toolkit Complete the Learning Team Charter.

Workshop Week 2

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Learning Team 2. Exercises:

• Resource: Rockswold & Kreiger, Chapter 1 of Beginning & Intermediate Algebra With Applications and Visualization.

Complete the following exercises:

Section 1.1: P. 11: 96Section 1.2: P. 25: 114Section 1.3: P. 33: 79Section 1.4: P. 44: 106Section 1.5: P. 51: 84Section 1.6: P. 59: 100Section 1.7: P. 70: 104Section 1.8: P. 78: 92

Workshop Week 2

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Learning Team 3. Other In class Discussion Questions Workshop Week 1

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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?

Learning Team Learning Team Instructions: Week One Learning Team In-Class Prepared Discussion Questions (Due in Workshop Week 2)

I. Converting Temperatures Complete the following in your team meeting and be

prepared to report your results and discussions to the class:o Complete parts a-d from the Group Activity at the end of

section 1.3 in Ch. 1 page 34 of the text.o Discuss any concept that a team member is having a

difficult time understanding.o Examine the importance and applicability of this week’s

concepts to each team member and to society in general.

o Plan and work on team assignments or projects. Give a brief update to the class in which you present your

Workshop Week 2

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team’s solutions from this exercise. Be sure to describe how this exercise applied to the weekly concepts.

Prepare to update your instructor on your team’s progress on Learning Team assignments.

II. Winning The Lottery Complete the following in your team meeting and be

prepared to report your results and discussions to the class:o Complete parts a and b from the Group Activity at the

end of section 1.7 in Ch. 1 page 71 of the text.o Discuss any concept that a team member is having a





Week Two: Linear Equations And InequalitiesDetails Due Points

Objectives 2.1 Evaluate linear equations.2.2 Solve linear equations.2.3 Solve equations using formulas.2.4 Use linear equations and inequalities in real-world applications.2.5 Solve linear inequalities.

Readings Read Ch. 2 of the text Beginning and Intermediate Algebra. Workshop Week 2


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Nongraded Activities and PreparationVariables and Equations

Watch the “Variables and Equations” video located on the student website.

Nongraded Activities and PreparationOne-Step Equations

Watch the Khan Academy’s “One-Step Equations” video located on the student website.


Watch the Khan Academy’s “Converting Fahrenheit to Celsius” video located on the student website.


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Converting Fahrenheit to Celsius

Nongraded Activities and PreparationEquations 2

Watch the Khan Academy’s “Equations 2” video located on the student website.

Nongraded Activities and PreparationAlgebraic Word Problem

Watch the Khan Academy’s “Algebraic Word Problem” video located on the student website.

Nongraded Activities and PreparationTwo-Step Equations

Watch the Khan Academy’s “Two-Step Equations” video located on the student website.

Nongraded Activities and PreparationSolving Inequalities

Watch the Khan Academy’s “Solving Inequalities” video located on the student website.

Nongraded Activities and PreparationSolving Equations with the Distributive Property

Watch the Khan Academy’s “Solving Equations with the Distributive Property” video located on the student website.

Individual MyMathLab® Exercises

MyMathLab® Exercises: Complete the Week Two assignment in MyMathLab®. (Due in Workshop Week 3)

Workshop Week 3

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IndividualWeek TwoStudy Plan


Workshop Week 3

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IndividualWeek Two Self-Check

Complete the Week Two self-check in MyMathLab®. (Due in Workshop Week 3)

Workshop Week 3

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Individual Quiz Individual Quiz 2: Complete an in class quiz Workshop Week 2

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Learning Team Week Two Learning Team Exercises Workshop Week 3

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Resource: Rockswold & Kreiger, Chapter 2 of Beginning & Intermediate Algebra With Applications and Visualization.

Complete the Week Two Learning Team Exercises:

Section 2.1: P. 99: 64Section 2.2: P. 110: 72Section 2.3: P. 121-123: 40, 48, 88, 96Section 2.4: P. 135: 70, 84Section 2.5: P. 148: 112, 116

Learning Team Week Two Learning Team Prepared Discussion Questions

I. Geometry Complete the following in your team meeting and be

prepared to report your results and discussions to the class:o Complete Exercises 1–5 from the Group Activity at the

end of section 2.3 in Ch. 2 page 124 of the text.o Discuss any concept that a team member is having a






II. Global Warming Complete the following in your team meeting and be

prepared to report your results and discussions to the class:o Complete question 6, parts a–e, from the Extended and

Discovery Exercises at the end of Ch. 2 page 156 of the text.

o Discuss any concept that a team member is having a difficult time understanding.

o Examine the importance and applicability of this week’s concepts to each team member and to society in general.



Workshop Week 3

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Learning Team Other Discussion Questions

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

Workshop Week 2

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Week Three: Graphs and Linear FunctionsDetails Due Points

Objectives 3.1 Generate graphs.3.2 Determine the intercepts of a linear function.3.3 Determine the slope of a linear function.3.4 Create a linear equation using data.3.5 Use linear functions in real-world applications.3.6 Identify representations of functions.

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

Workshop Week 3


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Nongraded Activities and PreparationLinear Functions

Watch the “Linear Functions” video located on the student website.

Nongraded Activities and PreparationLinear Equations in Standard Form

Watch the Khan Academy’s “Linear Equations in Standard Form” video located on the student website.


Watch the Khan Academy’s “Graphing a Line in Slope-Intercept Form” video located on the student website.


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Graphing a Line in Slope-Intercept Form

Nongraded Activities and PreparationGraphs of Linear Equations

Watch the Khan Academy’s “Graphs of Linear Equations” video located on the student website.

Nongraded Activities and PreparationSlope of a Line

Watch the Khan Academy’s “Slope of a Line” video located on the student website.

Nongraded Activities and PreparationSlope Example

Watch the Khan Academy’s “Slope Example” video located on the student website.


MyMathLab® Exercises: Complete the Week Three assignment in MyMathLab®. (Due in Workshop Week 4)

Workshop Week 4

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IndividualWeek ThreeStudy Plan


Workshop Week 4

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IndividualWeek Three Self-Check

Complete the Week Three self-check in MyMathLab®. (Due in Workshop Week 4)

Workshop Week 4

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Learning Team Learning Team Instructions: Week Three Learning Team Exercises

• Resource: Rockswold & Kreiger, Chapter 3, 8.1 and 8.2 of Beginning & Intermediate Algebra With Applications and Visualization.

Complete the Week Three Learning Team Exercises:

Section 3.1: P. 168: 50Section 3.2: P. 177: 74Section 3.3: P. 189: 80Section 3.4: P. 203: 94

Workshop Week 4

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Section 3.5: P. 213: 76Section 3.6: P. 223-224: 60, 72Section 3.7: P. 232: 48, 52

Section 8.1: P. 519: 74Section 8.2: P. 539: 120

Learning Team Week Three Learning Team Prepared Discussion Questions (Due in Workshop Week 4)

I. Estimations and Modeling Complete the following in your team meeting and be

prepared to report your results and discussions to the class:o Complete parts 1–4 from the Group Activity at the end

of section 3.3 in Ch. 3 page 189 of the text.o Discuss any concept that a team member is having a






II. Slope Complete the following in your team meeting and be

prepared to report your results and discussions to the class:o Complete parts 1–5 from the Group Activity at the end

of section 3.5 in Ch. 3 page 214 of the text.o Discuss any concept that a team member is having a




team’s solutions from this exercise. Be sure to describe how this exercise applied to the weekly concepts.III. U.S. Craigslist Visitors

Complete the following in your team meeting and be prepared to report your results and discussions to the class:o Complete parts a - e from the Group Activity at the end

of section 8.1 in Ch. 8, page 522 of the text.o Discuss any concept that a team member is having a

difficult time understanding.

Workshop Week 4

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Learning Team Other Discussion Questions

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.

Workshop Week 3

Week Four: Systems of Two-Variable Linear Equations And ExponentsDetails Due Points

Objectives 4.1 Solve systems of linear equations by graphing.4.2 Solve systems of linear equations algebraically.4.3 Solve systems of linear inequalities.4.4 Use systems of equations and inequalities in real-world

applications.


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4.5 Use exponents in algebraic expressions.4.6 Apply exponential principles to scientific notation.

Readings Read Ch. 4 of Beginning and Intermediate Algebra• Read sections 5.1 & 5.5 in Ch. 5 of Beginning and Intermediate Algebra.

Workshop Week 4


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Nongraded Activities and PreparationInequalities

Watch the “Inequalities” video located on the student website.

Nongraded Activities and PreparationSolving Systems by Graphing_3

Watch the Khan Academy’s “Solving Systems by Graphing_3” video located on the student website.

Nongraded Activities and PreparationThe Substitution Method

Watch the Khan Academy’s “The Substitution Method” video located on the student website.

Nongraded Activities and PreparationSystems of Equations

Watch the Khan Academy’s “Systems of Equations” video located on the student website.

Nongraded Activities and PreparationGraphing Linear Inequalities in Two Variables

Watch the Khan Academy’s “Graphing Linear Inequalities in Two Variables” video located on the student website.

Nongraded Activities and PreparationGraphing Systems of Inequalities

Watch the Khan Academy’s “Graphing Systems of Inequalities” video located on the student website.

Nongraded Activities and PreparationDecimals and Exponents

Watch the “Decimals and Exponents” video located on the student website.

Nongraded Watch the Khan Academy’s “Exponent Properties Involving


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Activities and PreparationExponent Properties Involving Products

Products” video located on the student website.

Nongraded Activities and PreparationExponent Properties Involving Quotients

Watch the Khan Academy’s “Exponent Properties Involving Quotients” video located on the student website.

Nongraded Activities and PreparationZero, Negative, and Functional Exponents

Watch the Khan Academy’s “Zero, Negative, and Fractional Exponents” video located on the student website.

Nongraded Activities and PreparationScientific Notation Examples

Watch the Khan Academy’s “Scientific Notation Examples” video located on the student website.


MyMathLab® Exercises: Complete the Week Four and Week Five assignment in MyMathLab®

Workshop Week 5

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IndividualWeek Four Study Plan

Review your Study Plan in MyMathLab® after completing the homework assignment for the week. Select topics from this week's materials in your study plan that have been highlighted for further review.

Continue working on these topics until you add a minimum of five new correct topics to your Study Plan report.

Workshop Week 5

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IndividualWeek Four Self-Check

Complete the Week Four and Week Five self-check in MyMathLab®.

Workshop Week 5

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Learning Team Week Four Learning Team Exercises

• Resource: Rockswold & Kreiger, Chapter 4 and 5.1 and 5,5 sections of Chapter 5 of Beginning & Intermediate Algebra With Applications and Visualization.

Complete the Week Four Learning Team Exercises:

Section 4.1: P. 256: 68, 72Section 4.2: P. 264: 58, 66Section 4.3: P. 275: 62, 64

Workshop Week 5

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Section 4.4: P. 286: 74, 76

Section 5.1: P. 316: 96 Section 5.5: P. 354: 94

Learning Team Week Four Learning Team Prepared Discussion Questions

I. Plant Growth Complete the following in your team meeting and be

prepared to report your results and discussions to the class:o Complete questions 1-4 from the Extended And

Discovery Exercises at the end of section 4.4 in Ch. 4 of the text (P. 294).

o Discuss any concept that a team member is having a difficult time understanding.


o Plan and work on team assignments or projects. Give a brief update to the class in which you present

your team’s solutions from this exercise. Be sure to describe how this activity applied to the weekly concepts.


II. Water in a Lake Complete the following in your team meeting and be

prepared to report your results and discussions to the class:o Complete parts a–c from the Group Activity at the end of

section 5.5 in Ch. 5 page 343 of the text.o Discuss any concept that a team member is having a






Workshop Week 5

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Other Discussion Questions Workshop Week 4


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How do you write a system of linear equations in two variables? Explain this in words and by using mathematical notation in an equation.

What are two symbolic techniques used to solve linear equations? Which do you feel is better? Explain why.

How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?

Do the equations x = 4y + 1 and x = 4y – 1 have the same solution? How might you explain your answer to someone who has not learned algebra?

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.

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 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?

Week Five: Fundamentals Of College Algebra I ReviewDetails Due Points


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Objectives 5.1 Review all objectives from Weeks One through Four5.2 Analyze applications of mathematics.

Readings Review all chapters from earlier weeks. Workshop Week 5


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Individual Final Exam

Final Exam

Complete the in class Final Exam

Workshop Week 5

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Other 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?

Workshop Week 5

Copyright

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