SB Course Design Guide (Tables Version) Sample



Course SyllabusCollege Of Natural SciencesMath/209 Version R6College Mathematics II (Algebra II)Group ID: LBSB06MTHInstructor: Robert KatzMeeting Every Wednesday From 6-10PM from 5/16/2012 through 6/13/2012Copyright ? 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 AgendaCourse DescriptionThis course continues the demonstration and examination of various basic algebra concepts that was begun in MATH 208: College Mathematics I. It assists in building skills for performing more complex mathematical operations and problem solving than in earlier courses. These concepts and skills should 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 demonstrated and discussed. This course is the second half of the college algebra sequence, which began as MATH 208: College Mathematics I. Math is a language of logical thinking using symbols and numbers to quantify. PoliciesFaculty 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.Recommended Weekly Point ValuesWeek One?Individual Assignment: MyMathLab? Orientation (Due in Week 1)0Individual 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 5 Exercises (Due in Week 2)5Learning Team (Chapter 5) In-Class Discussion Questions (Due in Week 1)1Learning Team Chapter 5 In-Class Prepared Discussion Questions (Due in Week 2)1Week TwoIndividual Assignment: Week 2 MyMathLab? Exercises (Due in Week 3)5Individual 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 25Learning Team Chapter 6 Exercises (Due in Week 3) 5Learning Team Chapter 6 In-Class Prepared Discussion Questions (Due in Week 3)1Week ThreeIndividual Assignment: Week 3 MyMathLab? Exercises (Due in Week 4)5Individual 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 35Learning Team Chapter 7, 10 Exercises (Due In Week 4) 5Learning Team Chapter 7, 10 In-Class Prepared Discussion Questions (Due in Week 4)1Week FourIndividual Assignment: Week 4, 5 MyMathLab? Exercises (Due in Week 5)5Individual 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 45Learning Team Exercises Chapter 8,10,11,12,14 (Due in Week 5)5Learning Team Chapter 8,10,11,12,14 In-Class Prepared Discussion Questions (Due in Week 5)1Week FiveIndividual in-class Final Exam18All Weeks?Participation (Individual and Learning Team)10Assignment TotalsIndividual75Learning Team25Point Total100The Course At A GlanceWhen Due:Workshop 1Workshop 2Workshop 3ReadingsChapter 5.2-5.4, 5.6; Chapter 6.1-6.4; Chapter 7.1–7.4; Chapter 7.6-7.7; Chapter 10.1-10.3; Individual AssignmentsAccess My MathLab; Do Orientation ExercisesMy MathLab Week 1 Exercises: About Exponents, Polynomials, Simplifying Expressions; Self-CheckMy MathLab Week 2 Exercises: About Factoring and Simplifying various real number expressions; Self-CheckTeam Assignments“Other” Discussion QuestionsWeek 1 Exercises; In-Class Exercises; Week 2 Exercises; In-Class Exercises; AssessmentsQuiz 2Quiz 3When Due:Workshop 4Workshop 5ReadingsChapter 6.6; Chapter 8.4; Chapter 10.4; Chapter 11.1-11.5; Chapter 12.1,12.3; Chapter 14.1-14.3Review all readings for Final Exam Individual AssignmentsMy MathLab Week 3 Exercises: Solving quadratic, rational, and radical equations; Self-CheckMy MathLab Week 4 Exercises: Evaluate non-linear functions, sequences and series; Self-CheckTeam AssignmentsWeek 3 Exercises; In-Class Discussion ExercisesWeek 4 Exercises; In-Class Discussion ExercisesAssessmentsQuiz 4Final ExamWeek One: PolynomialsDetailsDuePointsObjectivesSimplify polynomials.Use the distribution property with polynomials.Perform polynomial operations.Use polynomials in real-world applications.ReadingRead Ch. 5, sections 5.2–5.4 and 5.6 of Ch. 5 of Beginning and Intermediate Algebra With Applications and Visualization.Work-shop Week 1ReadingRead the University of Phoenix Material: MyMathLab? Study Plan.ParticipationParticipate in class discussion.2Discussion QuestionsRespond to weekly discussion questions.Work-shop Week 11Nongraded Activities and PreparationMyMathLab? OrientationResource: University of Phoenix Material: Using MyMathLab?Log on to MyMathLab? on the student plete the MyMathLab? Orientation exercise.Work-shop Week 1Nongraded Activities and PreparationWeek One VideosWatch this week’s videos located on your student website.Learning Team InstructionsLearning Team CharterResource: Learning Team ToolkitComplete the Learning Team Charter.Work-shop Week 2IndividualMyMathLab? ExercisesComplete the Week One assignment in MyMathLab?.Work-shop Week 25IndividualWeek One Study PlanReview 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 review.Continue working on these topics until you add a minimum of five new correct topics to your Study Plan report.Work-shop Week 21IndividualWeek One Self-CheckComplete the Week One self-check in MyMathLab?.Work-shop Week 22Learning TeamWeek One Learning Team Exercises? Resource:Rockswold & Kreiger, Chapter 5 of Beginning & Intermediate Algebra With Applications and plete the Week One Learning Team Exercises:Section 5.2: P. 315-316: 72, 80Section 5.3: P. 323-324: 80, 85, 86Section 5.4: P. 330-331: 76, 78, 80 Section 5.6: P. 349: 50, 52Work-shop Week 25Learning TeamWeek One Learning Team Discussion Questions (Due In Workshop 2)I. BiologyComplete the following in your team meeting and be prepared to report your results and discussions to the class:Complete parts a–c from the Group Activity at the end of section 5.3 in Ch. 5 page 324 of the text.Discuss any concept that a team member is having a difficult time understanding.Examine the importance and applicability of this week’s concepts to each team member and to society in general.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 exercise applied to the weekly concepts.Prepare to update your instructor on your team’s progress on Learning Team assignments.II. Water in a LakeComplete the following in your team meeting and be prepared to report your results and discussions to the class:Complete parts a–c from the Group Activity at the end of section 5.5 in Ch. 5 page 343 of the text.Discuss any concept that a team member is having a difficult time understanding.Examine the importance and applicability of this week’s concepts to each team member and to society in general.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 exercise applied to the weekly concepts.Prepare to update your instructor on your team’s progress on Learning Team assignments.Work-shop Week 21Week Two: FactoringDetailsDuePointsObjectivesFactor polynomials using the Greatest Common Factor.Factor trinomial expressions of the form x2 + bx + c.Factor trinomial expressions of the form ax2 + bx + c.Factor polynomial expressions using special products.ReadingRead Ch. 6, sections 6.1–6.4 of Beginning and Intermediate Algebra With Applications and Visualization.Work-shop Week 2ParticipationParticipate in class discussion.2Discussion QuestionsRespond to weekly discussion questions.0Nongraded Activities and PreparationWeek Two VideosWatch this week’s videos located on your student website.IndividualMyMathLab? ExercisesComplete the Week Two assignment in MyMathLab?.Work-shop Week 35IndividualWeek Two Study PlanReview 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 review.Continue working on these topics until you add a minimum of five new correct topics to your Study Plan report.Work-shop Week 31IndividualWeek Two Self-CheckComplete the Week Two self-check in MyMathLab?.Work-shop Week 32Learning TeamWeek Two Learning Team Exercises Resource:Rockswold & Kreiger, Chapter 6.1-6.4 of Beginning & Intermediate Algebra With Applications and plete the Week Two Learning Team Exercises:Section 6.1: P. 367-368: 82, 88Section 6.2: P. 375: 90, 92Section 6.3: P. 383: 78, 80Section 6.4: P. 390: 84, 88Work-shop Week 35Learning TeamWeek Two Learning Team Discussion Questions (Due in Workshop 3) I. Working with Real Data: AIDS CasesComplete the following in your team meeting and be prepared to report your results and discussions to the class:Complete parts a–d from the Group Activity at the end of section 6.4 in Ch. 6 of the text.Discuss any concept that a team member is having a difficult time understanding.Examine the importance and applicability of this week’s concepts to each team member and to society in general.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.Prepare to update your instructor on your team’s progress on Learning Team assignments.Workshop Week 31Week Three: Rational and Radical ExpressionsDetailsDuePointsObjectivesPerform operations on rational expressions.Solve rational equations and formulas.Solve proportion and variation problems.Simplify radical expressions.Solve problems involving radical expressions.ReadingRead Ch. 7, sections 7.1–7.4 and 7.6–7.7 of Beginning and Intermediate Algebra With Applications and Visualization.Work-shop Week 3ReadingRead Ch. 10, sections 10.1–10.3 of Beginning and Intermediate Algebra With Applications and Visualization.Work-shop Week 3ParticipationParticipate in class discussion.2Discussion QuestionsRespond to weekly discussion questions.0Nongraded Activities and PreparationWeek Three VideosWatch this week’s videos located on your student website.IndividualMyMathLab? ExercisesComplete the Week Three assignment in MyMathLab?.Work-shop Week 45IndividualWeek Three Study PlanReview 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 review.Continue working on these topics until you add a minimum of five new correct topics to your Study Plan report.Work-shop Week 41IndividualWeek Three Self-CheckComplete the Week Three self-check in MyMathLab?.Work-shop Week 42Learning TeamWeek Three Learning Team Exercises Resource:Rockswold & Kreiger, Chapter 7.1-7.4 and 10.1-10.3 of Beginning & Intermediate Algebra With Applications and plete the Week Three Learning Team Exercises:Section 7.1: P. 429: 100Section 7.2: P. 436: 74Section 7.3: P. 443: 74Section 7.4: P. 453: 104Section 7.6: P. 475: 102, 112Section 7.7: P. 489-490: 74, 82Section 10.1: P. 643: 112Section 10.2: P. 651: 103Section 10.3: P. 660: 112Workshop Week 45Learning TeamWeek Three Learning Team Discussion Questions (Due in Workshop 4)I. Working with Real Data: Students per ComputerComplete the following in your team meeting and be prepared to report your results and discussions to the class:Complete parts a–c from the Group Activity at the end of section 7.1 in Ch. 7 of the text.Discuss any concept that a team member is having a difficult time understanding.Examine the importance and applicability of this week’s concepts to each team member and to society in general.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.Prepare to update your instructor on your team’s progress on Learning Team assignments.II. Working with Real Data: Designing a Paper CupComplete the following in your team meeting and be prepared to report your results and discussions to the class:Complete parts a–c from the Group Activity at the end of section 10.3 in Ch. 10 of the text.Discuss any concept that a team member is having a difficult time understanding.Examine the importance and applicability of this week’s concepts to each team member and to society in general.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.Prepare to update your instructor on your team’s progress on Learning Team assignments.Workshop Week 41Week Four: Quadratic Equations and FunctionsDetailsDuePointsObjectivesIdentify polynomial, rational, radical, and quadratic functions.Identify the domain and range of a function.Perform operations on functions.Solve quadratic equations.Apply nonlinear equations to real-world problems.ReadingRead Ch. 6, section 6.6 of Beginning and Intermediate Algebra With Applications and Visualization.Work-shop Week 4ReadingRead Ch. 8, section 8.4 of Beginning and Intermediate Algebra With Applications and Visualization.Work-shop Week 4ReadingRead Ch. 11, sections 11.1–11.5 of Beginning and Intermediate Algebra With Applications and Visualization.Work-shop Week 4ReadingRead Ch. 12, sections 12.1 and 12.3 of Beginning and Intermediate Algebra With Applications and Visualization.Work-shop Week 4ReadingRead Ch. 14, sections 14.1–14.3 of Beginning and Intermediate Algebra With Applications and Visualization.Work-shop Week 4ParticipationParticipate in class discussion.2Discussion QuestionsRespond to weekly discussion questions.0Nongraded Activities and PreparationWeek Four VideosWatch this week’s videos located on your student website.IndividualMyMathLab? ExercisesComplete the Week Four and Five assignment in MyMathLab?.Work-shop Week 55IndividualWeek Four Study PlanReview 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 review.Continue working on these topics until you add a minimum of five new correct topics to your Study Plan report.Work-shop Week 51IndividualWeek Four Self-CheckComplete the Week Four and Five self-check in MyMathLab?.Work-shop Week 52Learning TeamLearning Team Instructions: Week Four Learning Team Exercises ? Resource:Rockswold & Kreiger, Chapter 6.6, 8.4, 10.4, 11.1-11.5, 12.1, 12.3 of Beginning & Intermediate Algebra With Applications and plete the Week Four Learning Team Exercises:Section 6.6: P. 403: 66Section 8.4: P. 565: 116Section 10.4: P. 672: 130Section 11.1: P. 726: 96Section 11.2: P. 741: 92 Section 11.3: P. 753: 116Section 11.4: P. 767: 124Section 11.5: P. 776: 64Section 12.1: P. 808: 94Section 12.3: P. 837: 112Workshop Week 55Learning TeamWeek Four Learning Team Discussion Questions (Due in Workshop Week 5)I. Working with Real Data: Minimum WageComplete the following in your team meeting and be prepared to report your results and discussions to the class:Complete parts a–e from the Group Activity at the end of section 11.3 in Ch. 11 of the text.Discuss any concept that a team member is having a difficult time understanding.Examine the importance and applicability of this week’s concepts to each team member and to society in general.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.Prepare to update your instructor on your team’s progress on Learning Team assignments.II. Working with Real Data: Greenhouse GasesComplete the following in your team meeting and be prepared to report your results and discussions to the class:Complete parts a–c from the Group Activity at the end of section 12.3 in Ch. 12 of the text.Discuss any concept that a team member is having a difficult time understanding.Examine the importance and applicability of this week’s concepts to each team member and to society in general.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.Prepare to update your instructor on your team’s progress on Learning Team assignments.Workshop Week 51Week Five: Nonlinear Functions, Sequences, and SeriesDetailsDuePointsObjectivesUse composite functions.Use inverse functions.Use logarithmic functions.Use arithmetic and geometric sequences and series.Review all objectives from Weeks One through FourReadingsReview all chapters from earlier weeks.Workshop Week 5ParticipationParticipate in class discussion.2Discussion QuestionsRespond to weekly discussion questions.0Nongraded Activities and PreparationWeek Five VideosWatch this week’s videos located on your student website.Nongraded Activities and PreparationWeek Five Self-CheckComplete the Week Five self-check in MyMathLab?.Work-shop Week 52IndividualMyMathLab? ExercisesComplete the Week Five assignment in MyMathLab?.Work-shop Week 55IndividualWeek Five Study PlanReview 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 review.Continue working on these topics until you add a minimum of five new correct topics to your Study Plan report.Work-shop Week 51IndividualFinal ExaminationComplete the final examination in MyMathLab?.Work-shop Week 518Optional Discussion QuestionsWeek One Discussion QuestionsWhat 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?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 Two Discussion QuestionsWhat is the greatest common factor? How do you know when you have found the greatest one?Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation.How do you factor the difference of two squares? How do you factor the perfect square trinomial? How do you factor the sum and difference of two cubes? Which of these three makes the most sense to you? Explain why.What one area from the readings in Week Two are you most comfortable with? Why do you think that is? Using what you know about this area, create a discussion question that would trigger a discussion—that is, so there is no single correct answer to the question.Week Three Discussion QuestionsExplain the five steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make rational equations easier to complete or understand?Do all rational equations have a single solution? Why is that so?What constitutes a rational expression? How would you explain this concept to someone unfamiliar with it?How would you define what a rational exponent is? Is there such a thing as an irrational exponent? Explain.What are the two steps for simplifying radicals? Can either step be deleted? If you could add a step that might make simplifying radicals easier or easier to understand, what step would you add?Week Four Discussion QuestionsExplain the four steps for solving quadratic equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make solving quadratic equations easier or easier to understand?Which of the four operations on functions do you think is the easiest to perform? What is the most difficult? Explain why.Write a word problem involving a quadratic function. How would you explain the steps in finding the solution to someone not in this class?Is the compound interest formula—such as would be used to calculate a car loan—an example of a function? If yes, of what type of function is it an example? Why might you identify it with that type of function?What is the relationship between exponents and logarithms? How would you distinguish between the two, using both a graph and a sequence?How are these concepts of direct, inverse, and joint variation used in everyday life? Provide examples for each.Other than those listed in the text, how might the Pythagorean theorem be used in everyday life? Provide examples of each.Quadratic equations, which are expressed in the form of ax2 + bx + c = 0, where a does not equal 0, may have how many solutions? Explain why.What is the quadratic formula? What is it used for? Provide a useful example that is not found in the text.Week Five Discussion QuestionsFrom the concepts you have learned in this course, provide a real-world application of something that you think 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? Explain why. Which do you anticipate will be the least important? Explain why.Can you think of one real-world example of when the concept of functions might be useful? Do you think you will ever use functions in your life to solve problems? If yes, explain how and why; if no, explain 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 that hard-to-learn concept easier to learn?If your neighbor asked you to explain what you learned in this course, what would you tell him or her?CopyrightUniversity of Phoenix? is a registered trademark of Apollo Group, Inc. in the United States and/or other countries.MyMathLab is a registered trademark of Pearson Education, Inc.Edited in accordance with University of Phoenix? editorial standards and practices. ................
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