Spring Quarter 2009

Seattle Central Community College

 

 

Algebra II

 

1281 MATH085_06

 

Meeting Daily 9:00—9:50am

room BE 4183

April 17th to end of quarter SAM200

 

Andrea Levy, Ed.D.

206-587-4082                  Office: SAM214

alevy@sccd.ctc.edu

http://seattlecentral.edu/faculty/alevy

 

Office Drop-in Hours

M&W 3:30-3:50 PM; T, Th, &F 12–12:50 PM

or by appointment

Text

Course Goals

Course Objectives

Course Expectations

Assessment

Assistance

Disabilities

Course Calendar

Week 1

Week 2

Week 3

Week 4

Week 5

Week 6

Week 7

Week 8

Week 9

Week 10

Finals Week

Text

Blitzer, R. (2006), Introductory Algebra for College Students, 4th Edition, Chapters 6-10

 

WAMAP: Online Homework Access

You will be registered automatically as a student in this class.

 Please use your ‘first name_last name’ as your student name

and your pass code is your student number (with NO dashes).

 

Course Goals

Imagination is more important than knowledge. Albert Einstein

 

The course goals provide a foundation to develop intellectual imagination. Success depends on your ability to respond to the challenges presented by new problems and new ideas. The course goals are to:

(1) stimulate your imagination                                                                                                   

(2) enhance your understanding of mathematics at a conceptual level

(3) demonstrate and communicate your knowledge to others

(4) improve your use of self-assessment methods

(5) think critically

(6) develop effective study and group skills

(7) apply quantitative reasoning to real world contexts

 (8) master the use of a scientific calculator as a tool for quantitative analysis

 

Course Objectives

 

The course objectives are the mathematical skills you should be able to demonstrate upon completion of this course:

 1.   Understand basic rules of exponents and how to work with negative exponents

 2.   Ability to add, subtract, and multiply polynomials (introduction to division of polynomials)

 3.   Recognize and use a variety of factoring methods to solve and simplify polynomial polynomials

 4.   Understand square root and know how to simplify radicals

 5.   Apply quadratic formula to solve problems

 6.   Understand how quadratic equations are related to parabolas

 7.   Know how to graph a parabola accurately given its equation

 8.  Know how to simplify simple rational expressions

 9.  Solve application problems and explain the mathematics in the context of the problem

10. Connect math with real world context

 

Course Expectations

As a student in this course, you are expected to attend all class sessions, arrive to class on-time and be prepared for the daily lesson. Being prepared means that homework assignments are complete and you have all the necessary supplies for full participation in the daily coursework, such as pencil, notebook paper, graph paper, straight-edge or ruler, and scientific calculator.

 

Assessment

Tests and Quizzes

Much of the learning in this class is done through group work, therefore group tests and quizzes are used to assess your understanding. This does NOT mean that you will get a group grade. Test problems are complex and require an explanation of your reasoning. The testing format provides an opportunity to discuss your solution process with group members prior to writing solution processes in your own words. A correct answer to a problem is sufficient for a passing grade (which is a 77% or a 2.2); however, if you wish to earn a higher grade, you must clearly communicate and demonstrate your solution process. The group work is designed to hone your communication skills (this is a course objective). The individual write-up is how you provide evidence of your understanding for a formal grade.

 

Partnership/Small Group/Whole Class Activities

Communication is an important aspect of this class, therefore you are responsible for providing evidence that you understand the material presented. One way to do this is to fully participate in small group and whole class activities. The small group format provides support to: (1) ease math anxiety, (2) learn to work collaboratively, (3) develop problem solving and critical thinking skills, and (4) clearly communicate your solution process to convince others that your answer is correct. It is important to contribute your thinking, questions, and insights to the collective process. 

 

Homework

Completing and submitting homework on time is essential as it prepares you to be a full participant in the class activities. For each assigned section, you should:

 

Study the assigned chapter section

-    take notes 

-    work through the sample problems

-    work through some of the problems at the end of the section

-    check your work with the answers at the back of the book or in your solution manual

-    take notes during class

-    attempt the in-class problems ahead of time

 

Reading Response: Respond to the questions about the readings that are listed on the Course Calendar write up your responses to the questions in the Course Calendar for that section. Hand-in your reading responses on the day it is listed on the Course Calendar. The reading responses are worth 10 participation points and can only be made up by handing it in on the day of your return to class after an absence.

 

When you feel confident that you understand the material presented in the section and can perform the required skills then complete the on-line assignment. I strongly recommend that you do the assignment each night so that you are prepared for the daily in-class work.

 

On-line assignment: Go to WAMAP: log in using your ‘first name_last name’ as your student name and your pass code is your student number (with NO dashes). (If you have used WAMAP before, you may be registered using your former user name and pass code.) You can print the problems for an assignment and then work on them off-line (get help at the math lab, etc.). If you are NOT satisfied with the grade you receive, you can ask for a new problem. Once an assignment is submitted, the grade you receive is recorded. On-line assignments can be completed ahead of time; however the final submission date is midnight before the quiz/test.

 

Daily in-class process

When you arrive in class, hand in your reading response sheet, pick up your file folder, and start working on the problems listed on the board.

The problems are chosen to represent the important concepts covered in the section.  Share the work you did on your group’s problem first. When your group agrees on the solution process, have one person from the group put the solution steps on the board. Then discuss the other problems. As your group completes the other problems, either register your agreement with other groups’ solutions, or put up your own solutions. This process should only take 15—20 minutes of class time.

 

I will (1) share college announcements, (2) discuss the reading response questions handed in at the start of class, (3) take questions about procedures from the section, (4) discuss the in-class problem solutions posted on the board, and (5) introduce the mathematics concepts and procedures for that evening’s homework.

 

Grading

The proposed grade distribution is 40% class participation & homework, 60% quizzes and tests.

  • Quizzes and tests are given each week. Quiz and test problems are similar to the in-class problems worked on in class. Quizzes are worth 50 pts, tests are 100 pts. Since quizzes and tests are designed for working in groups, it is important that you make every effort to attend, arrive on-time, and be prepared. There are NO make-up tests or quizzes given after the answers have been discussed in class. The lowest test grade can be replaced with the grade received on the final exam.
  • Final Exam is 100 pts and is a collection of problems, similar to the ones presented in the daily class work, that cover the material for the entire quarter. The final exam grade will replace the lowest test grade.
  • Participation: You will receive 10 points for each day that you attend class. Points are deducted if you arrive late or leave early, are not able to attend a session, and for disruptive and disrespectful behavior. Also, up to an additional 10 participation points can be earned if you hand in a reading response sheet for the section covered that day before group time is over (within the first 15 minutes of class.) If you are absent and want to receive the 10 points for the reading response sheet, then that must be submitted (email is fine) before the class session or immediately upon your return to class.
  • On-line homework is worth 10 homework points. Section problems are available on-line up until the day of the quiz/test (midnight before the quiz/test). Please check the Course Calendar for quiz/test dates.

 

100 > 94% = 4.0 > 3.9 = A

93 > 90% = 3.8 > 3.5 = A-

89 > 87% = 3.4 > 3.2 = B+

86 > 84% = 3.1 > 2.9 = B

83 > 80% = 2.8 > 2.5 = B-

79 > 77% = 2.4 > 2.2 = C+

76 > 74% = 2.1 > 1.9 = C

73 > 70% = 1.8 > 1.5 = C-

69 > 67% = 1.4 > 1.2 = D+   

66 > 64% = 1.1 > 0.9 = D

63 > 60% = 0.8 > 0.7 = D-

60% >      = 0.7 >       = E

If you feel that the grade distribution does not adequately reflect your understanding of the mathematics in this course, then I encourage you to make an appointment to discuss it with me during office hours. This must be done sometime before the last month of the quarter.

“NC” (No Credit) grades are NOT given under any circumstances. If you want to withdraw from the course, request a “W” grade before the published deadline. “I” (Incomplete) grades are only given in strict conformity with the college catalog. Specifically, a student must be in “good standing” to request an Incomplete.  For this course, “good standing” will mean, at a minimum, a current grade of at least 2.0. “I” grades can only be requested in situations and circumstances that are out of the control of the student…please read the catalog for details. I reserve all rights about when and if an “Incomplete” will be issued. It is your responsibility to request and submit the signatures and paperwork required for “W” and “I” grades by the deadlines established by the college.

 

Assistance

Late and Make-up Work

If you are unable to attend class contact me as soon as possible to explain the situation and discuss options. It is also important to notify your group members, as they will have to function without your input (you can also ask them to take notes during the classes that you cannot attend.)

 

Tutorial Assistance

I am available to help clarify or provide tutorial assistance. However, (since I have approximately 100 students each quarter) please discuss the problem with your group members first. Make an appointment to speak with me if your group members are unable to help you. I am also available to work with the whole group.

 

If you need tutoring assistance on a fairly regular basis, the math lab is in SAM106.

 

Individual Needs

For help with dealing with math phobia or test anxiety, please make an appointment to talk with me. We can discuss your particular issues and devise a plan to help you be successful.

 

Students with Disabilities Statement

Students with documented disabilities, who need course accommodations, have emergency medical information or require special arrangements for building evacuation should contact the instructor within the first week of class.

 

The instructor reserves the right to reasonably adjust this syllabus if deemed necessary and will make available written changes for students to add to this document.

 

Course Calendar

The Course Calendar is not fixed, but rather is a working document which may change as we progress through the material. I will inform you of any changes to the calendar as they arise.  

 

The homework site is at:

WAMAP

(You will be registered automatically as a student in this class.

 Please use your ‘first name_ last name’ as your student name

and your pass code is your student number (with NO dashes).

Full credit for online homework is only given

when responses are received before midnight, before the test/quiz.

Reading Response Questions are listed on the day they are due.

 

 

Week  1

Class Session Schedule

Assignment

The homework is listed on the day it is due.

Link to in-class problems

 

 

Mon. Apr.6

Course introduction & administrative stuff

Complete WAMAP tutorial and MATH084 Review

by 5pm Friday, 4/10

 

 

Tues. Apr.7

6.1 Adding and subtracting polynomials

(1) Explain the definition and provide an example for the following vocabulary: degree of a polynomial, like terms

(2) Explain what conditions are necessary to add terms, and then provide an example where terms can be added and an example when they cannot.

 

 

Service Learning credits explained

 

 

Weds. Apr.8

6.2 Multiply polynomials

 

(1) Describe the following rules in your own words and provide an example for each: Product Rule, Power Rule (Power to Power), and Products to Power Rule

(2) Provide an example of polynomial multiplication using an area model. 

 

 

Thurs. Apr.9

6.3 Special Products

(1) Provide an example for multiplying the sum and difference of two terms using the F.O.I.L. method, and then do the same multiplication using the vertical method.

(2) Provide an example of the short-cut for finding the square of a binomial sum, and the square of a binomial difference.

 

 

Fri. Apr.10

Quiz Review

Bring the solution of these problems to class and be prepared to share them with your group and the class.

p.348 #99, 101 (p.328 #93, 95); p.359 # 101, 102 (p.340); p.367 #101, 102 (p.349)

Make sure to complete the on-line homework at WAMAP before midnight Sunday evening to earn homework points for sections 6.1-6.3.

 

 

Week 2

Class Session Schedule

Assignment

The homework is listed on the day it is due.

Link to in-class problems

 

 

Mon.  Apr.13

QUIZ

Turn in Review problems for hmwk credits.

 

 

Tues. Apr.14

Go over Quiz

(1) What does it mean to evaluate a polynomial in several variables? Provide an example.

(2) Describe how to determine the degree of a polynomial that has more than one variable, and provide an example.

(3) Show how to add/subtract polynomials with more than one variable.

(4) Show how to multiply polynomials with two variables.

 

 

6.4 Polynomials in several variables

 

 

Weds.  Apr.15

6.5 Dividing Polynomials

 

(1) Describe the Quotient Rule for exponents and provide an example.

(2) Describe the Zero-Exponent Rule and provide an example.

(3) Describe the Quotients-to-Powers Rule.

(4) Explain how you can divide a polynomial by a monomial, provide an example.

 

 

Thurs. Apr.16

6.7 Negative exponents and scientific notations

 

(1) Describe the Negative Exponent Rule, provide an example.

(2) Describe what it means to simplify an exponential expression, and provide an example.

(3) Describe how to convert from scientific to decimal notation and from decimal to scientific notation, provide an example for each (one should use very large numbers and the other should use very small numbers.)

 

 

Fri. Apr.17

CH6 Test Review

Bring the solution of these problems to class and be prepared to share them with your group and the class.

p.405 #149, #151(p.386); p.367 #117 (p.349 #110); p.373 #77 (p.355);

pp.410-11 #67, 83, 85 (p.391-392 #66, 82, 84)

Make sure to complete the on-line homework at WAMAP before midnight Sunday evening to earn homework points for sections 6.4-6.7

 

 

Week 3

Class Session Schedule

Assignment

The homework is listed on the day it is due.

Link to in-class problems

 

 

Mon.  Apr.20

CH6 TEST

Turn in Review problems for hmwk credits.

 

 

Tues. Apr.21

Go over Ch 6 Test

(1) Describe how factoring a polynomial is like undoing the distributive property, and provide an example.

(2) Describe what is meant by factoring by grouping and provide an example.

 

 

 

7.1 Greatest common factor & factoring by grouping

 

 

Weds. Apr.22

7.2 Factoring trinomials whose leading coefficient is one

(1) Explain how to factor a trinomial with a leading coefficient of one.

(2) Describe the steps needed to factor a trinomial completely.

 

 

Thurs. Apr.23

7.3 Factoring trinomials whose leading coefficient is not one

(1) Describe a strategy to factor a trinomial whose leading coefficient is not one.

(2) Describe the process for factoring by grouping.

(3) Give an example to show that you know how to use the Box Method

(4) Describe how the Box Method is the same/different than factoring by grouping

 

 

Fri,. Apr.24

7.1-7.3 Quiz Review

Bring the solution of these problems to class and be prepared to share them with your group and the class.

p.428 #77 (p.410); p.436 #71, 73 (p.417); p.469 #7, 9 (p.449)

Make sure to complete the on-line homework at WAMAP before midnight Sunday evening to earn homework points for sections 7.1—7.3

 

 

Week 4

Class Session Schedule

Assignment

The homework is listed on the day it is due.

Link to in-class problems

 

 

Mon. Apr.27

7.1-7.3 QUIZ

Turn in Review problems for hmwk credits.

 

 

Tues. Apr.28

Go over Quiz

(1) Describe the pattern for knowing how to factor the difference of two squares.

(2) Describe the pattern for factoring perfect square trinomials.

(3) Describe the pattern for factoring the sum and difference of two cubes. 

 

 

7.4 Factoring special forms

 

 

Weds. Apr.29

7.5 A general factoring strategy

In your own words, describe a strategy for determining the method to use to factor a polynomial.

 

 

Thurs. Apr.30

7.6 Solving quadratic equations by factoring

Describe the zero-product principle and why it is helpful when solving a quadratic equation.

 

 

Fri. May1

CH7 Test Review

Bring the solution of these problems to class and be prepared to share them with your group and the class.

pp. 464-465 #80, 81, 87(p.444-445 #78, 79, 85);

p. 470 #93 (p.451); p.471 #29, 30 (p.471)

Make sure to complete the on-line homework at WAMAP before midnight Sunday evening to earn homework points for sections 7.4-7.6

 

 

Week 5

Class Session Schedule

Assignment

The homework is listed on the day it is due.

Link to in-class problems

 

 

Mon.  May4

CH7 TEST

Turn in Review problems for hmwk credits.

 

 

Tues. May5

Go over Ch 7 Test

For review do the Chapter 7 Test on pp.470-471 and hand in tomorrow

 

 

Weds. May6

Chapter 7 Test Retake

 

 

Thurs. May7

8.1 Rational expressions and their simplification

(1) Describe what is meant by a rational expression, and provide a couple of different examples.

(2) Describe what would make a rational expression undefined.

(3) Describe the Fundamental Principle of Rational Expressions.

(4) Describe what it means to simplify a rational expression.

 

 

Fri. May8

SAM Retreat

NO CLASS

 

 

Week 6

Class Session Schedule

Assignment

The homework is listed on the day it is due.

Link to in-class problems

 

 

Mon.  May11

8.2 Multiplying and dividing rational expressions

(1) Describe how to multiplying rational expressions and multiplying fractions are the same/different, and provide an example.

(2) Explain how dividing rational expressions and dividing fractions are the same/different and provide an example

 

 

Tues. May12

8.3 Adding and subtracting rational expressions with same denominator

Explain how adding/subtracting rational expressions with the same denominator is the same/different than adding/subtracting like fractions. provide examples.

 

 

Weds. May13

8.4 Adding and subtracting rational expressions with different denominators

Explain how adding/subtracting rational expressions with different denominators is the same/different than adding/subtracting fractions with different denominators. Provide examples.

 

 

Thurs. May14

CH8 Test Review

 

Inspirational video

“Stand by Me”

Bring the solution of these problems to class and be prepared to share them with your group and the class.

 

p.489 # 51 & 53 (p.469);  p.498 # 73 and what is the range of widths for a skull 6 inches long have to be to be considered a medium skull or a long skull? (p.477);  p. 508 # 101 &102 (p.488)

 

Make sure to complete the on-line homework at WAMAP before midnight tonight to earn homework points for chapter 8

 

 

Fri. May15

CH8 TEST

Review problems are due today.

 

 

Week 7

Class Session Schedule

Assignment

The homework is listed on the day it is due.

Link to in-class problems

 

Mon.  May18

Go over Ch 8 Test

(1) What is meant by a square root, explain and provide an example.

(2) Describe the Principle nth root of a real number and provide a couple of examples

 

9.1 Finding roots

 

Tues. May19

9.2 Multiplying and dividing radicals

(1) Describe the Product Rule for Square Roots, and provide an example.

(2) Describe how to simplify square roots with variables to even powers, and provide an example.

(3) Describe how to simplify square roots with variables to odd powers.

(4) Describe the Quotient Rule for Square Roots, and provide an example.

(5) Describe the Product and Quotient Rules for nth roots and provide an example.

 

Weds. May20

9.3 Operations with radicals

 

(1) Explain what is meant by ‘like’ radicals and give an example. 

(2) Explain how to add/subtract like radicals and provide examples.

(3) Describe what is meant by a conjugate and provide an example.

(4) Explain how to multiply conjugates and provide an example.

 

Thurs. May21

9.4a Rationalize the denominator

Describe what is meant by rationalizing the denominator, and provide an example

 

Fri. May22

9.4 Rationalize the denominator

Explain when you would use a conjugate to rationalize a denominator and provide an example.

 

Week 8

Class Session Schedule

Assignment

The homework is listed on the day it is due.

Link to in-class problems

 

Mon.  May25

NO SCHOOL

MEMORIAL DAY

 

Tues. May26

9.5 Radical equations

Describe in your own words, the steps used to solve a radical equation, provide an example.

 

Weds. May27

9.6 Rational exponents

What is a rational exponent? How is it the same/different than a regular exponent? Provide examples.

 

Thurs. May28

CH9 Test Review

Bring the solution of these problems to class and be prepared to share them with your group and the class.

p.578 #75, 79 p.559); p.585 #45, 47 (p.566); p.592 #53, 54, 57 (p.572)

Make sure to complete the on-line homework at WAMAP before midnight tonight to earn homework points for sections 9.4-9.6

 

Fri. May29

CH9 TEST

Review problems are due today.

 

Week 9

Class Session Schedule

Assignment

The homework is listed on the day it is due.

Link to in-class problems

 

Mon.

Jun.1

Go over Ch 9 Test

(1)  Describe the Square Root Property and provide an example.

(2)  Describe the Pythagorean Theorem and show how it can be used to find the length of the hypotenuse of a right triangle.

 

 

10.1a Solving quadratic equations using square root property

 

Tues. Jun.2

10.1b Solving quadratic equations using square root property

Describe the distance formula and how it is related to the Pythagorean Theorem.  Provide an example.

 

Weds. Jun.3

10.2 Solving quadratic equations by completing the square

What is meant by ‘Completing the Square”? Describe how to use the Completing the Square process to solve a quadratic equation. Provide an example.

 

Thurs. Jun.4

Quiz Review

Bring the solution of these problems to class and be prepared to share them with your group and the class.

p.607-608 #67, 70 (p.587); p.608 #79 (p.588 #81); p.613 #29, 33 (p.593)

Make sure to complete the on-line homework at WAMAP before midnight tonight to earn homework points for sections 10.1-10.2

 

Fri. Jun.5

10.1-10.2 QUIZ

Review problems are due today.

 

Week 10

Class Session Schedule

Assignment

The homework is listed on the day it is due.

Link to in-class problems

 

Mon.  Jun.8

Go over Quiz

(1) What is the Quadratic Formula and why is it important?

(2) Show how to use the Quadratic Formula to solve a quadratic equation.

 

10.3a Quadratic formula

 

Tues. Jun.9

10.3b Quadratic formula

If you are given a quadratic equation, how do you determine what method to use to solve it?

 

Weds.

Jun.10

10.5 Graphs of quadratic equations

(1) Explain how to find the x- and y-intercepts for a parabola from its equation, provide an example. 

(2) From the equation, describe how to find the vertex of a parabola, provide an example.

(3) Describe how you know whether parabola opens upward or downward, provide an example.

 

Thurs. Jun.11

Test Review

Bring the solution of these problems to class and be prepared to share them with your group and the class.

p.607 #67, 69 (p.587) ; p.623 #53 (p.602); p.640 #50, 51 (p.617 #51, 52)

Make sure to complete the on-line homework at WAMAP before midnight tonight to earn homework points for sections 10.3-10.5

 

Fri. Jun.12

CH10 TEST

Review problems are due today.

Finals Week

Class Session Schedule

Assignment

The homework is listed on the day it is due.

Link to in-class problems

Mon. Jun.15

Go over Ch 10 Test

 

Course Evaluation

Tues. Jun.16

Review for Final

Bring in your solutions to these problems to discuss in class:

p.367 #117, 118 (p349 #110, 111); p.382 #47, 51 (p.364-365) ; p.404 #147, 149 (p.386);  p.470 #93, 95 (p.451); p.607 #68 (p.587); p.640 #51 (p.617)

Procedures you should have mastered: factor cubic and quadratic expressions, use quadratic formula to solve for x, find max/min, simplify a rational expression, simplify a radical expression by rationalizing the denominator, and convert a radical expression to an exponential expression.

Thurs. Jun.18

FINAL EXAM

8AM -10AM