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Effective: Late Spring 8-Week, 2017/2018

MATH 106: Intermediate Algebra

Course Description

Second course in a three-course sequence in algebra. Review of graphing lines. An introduction to solving systems of linear equations, exponents, polynomial expressions, square roots, zeros of polynominals, quadratic equations, and graphs of parabolas.

Prerequisite: A passing score on the Columbia College math placement exam or grade of C or higher in MATH 104 or a score of 19 or higher on the math portion of the ACT or a grade of 460 or higher on the math portion of the SAT.

Proctored Exams: Midterm and Final



Syllabus Contents

Textbooks

Required

  • Lehmann, J. . (2015). Elementary Algebra: Graphs and Authentic Applications - With Access (2nd). London, United Kingdom: Pearson.
    • [ISBN-9781323833469]
    • Note: This course uses a VitalSource ebook. If you wish to have a print book, it can be ordered as a loose-leaf print on demand book through VitalSource. Please note there is a cost for this, and financial aid book vouchers cannot be used for this purchase. Once orders are placed, it can take approximately 5-7 business days for you to receive your print on demand book.

MyLabsPlus

You will need the textbook (physical or online copy via the MyLabsPlus code) and an access code for MyLabsPlus (an online homework and resource site). You will activate MyLabsPlus (MLP) once you have access to the course, through the MyLabsPlus link in the course navigation bar. The textbook and access code can be purchased as a bundle through MBS Direct.

If you buy the textbook from a source other than MBS Direct, you will still need a MyLabsPlus access code. MyLabsPlus access codes can be purchased separately through the MyLabsPlus link in the course. Access codes that come packaged with textbooks from sources other than MBS Direct are not guaranteed to work. Do not purchase a MyMathLab access code; MyMathLab codes are NOT equivalent to MyLabsPlus codes, and will not work for this course.

Another option is to purchase only a MyLabsPlus access code through the MyLabsPlus link in the course, and utilize the online textbook and solutions manual that are available electronically through the MyLabsPlus website with the code.

If you do not have access to MyLabsPlus when the course begins, the publisher provides a temporary log-in; however, you must procure access within the first two weeks of the course.

MBS Information

Textbooks for the course may be ordered from MBS Direct. You can order

For additional information about the bookstore, visit http://www.mbsbooks.com.


Course Overview

In this course, we will continue to study the language and concepts of algebra. We will be using variables, learning the rules of exponents and polynomials, modeling real-life situations with graphs and equations, solving linear and quadratic equations, and solving systems of linear equations.


Technology Requirements

Participation in this course will require the basic technology for all online classes at Columbia College:
  • A computer with reliable Internet access
  • A web browser
  • Acrobat Reader
  • Microsoft Office or another word processor such as Open Office

You can find more details about standard technical requirements for our courses on our site.


Course Learning Outcomes

  1. Create and use systems of linear equations and inequalities, when appropriate, to answer questions, make predictions, and estimate in authentic situations.
  2. Solve systems of linear equations and inequalities using a variety of methods.
  3. Create and use quadratic models, when appropriate, to answer questions, make predictions, and estimate in authentic situations.
  4. Solve quadratic equations with the quadratic formula and other methods.
  5. Add, subtract, multiply, and divide polynomials and use these concepts to model authentic situations.
  6. Apply the laws of exponents to simplify expressions and work with models whose equations contain negative exponents or scientific notation.
  7. Factor polynomials using a variety of techniques in order to solve equations and perform operations with rational expressions.
  8. Add, subtract, multiply, divide, and simplify radical expressions and solve equations or make predictions involving radical expressions in authentic situations.
  9. Add, subtract, multiply, divide, and simplify rational expressions and solve equations or make predictions involving rational expressions in authentic situations.

Grading

Grading Scale
Grade Points Percent
A 900-1000 90-100%
B 800-899 80-89%
C 700-799 70-79%
D 600-699 60-69%
F 0-599 0-59%
Grade Weights
Assignment Category Points Percent
Discussions (8) 50 5%
MLP Assignments (8) 200 20%
Quizzes (6) 150 15%
Midterm Exam (1) 300 30%
Final Exam (1) 300 30%
Total 1000 100%


Schedule of Due Dates

Week 1
Assignment Points Due
Discussion 1 6 Friday/Sunday
Introductions Discussion 2 Sunday
Equation Editor -
MLP Homework -
Quiz 1 25
Week 2
Assignment Points Due
Discussion 2 6 Friday/Sunday
MLP Homework - Sunday
Quiz 2 25
Proctor Information N/A
Week 3
Assignment Points Due
Discussion 3 6 Friday/Sunday
MLP Homework - Sunday
Quiz 3 25
Week 4
Assignment Points Due
Discussion 4 6 Friday/Sunday
MLP Homework - Sunday
Practice Midterm Exam -
Midterm Exam 300
Week 5
Assignment Points Due
Discussion 5 6 Friday/Sunday
MLP Homework - Sunday
Quiz 4 25
Week 6
Assignment Points Due
Discussion 6 6 Friday/Sunday
MLP Homework - Sunday
Quiz 5 25
Week 7
Assignment Points Due
Discussion 7 6 Friday/Sunday
MLP Homework - Sunday
Quiz 6 25
Week 8
Assignment Points Due
Discussion 8 6 Friday/Saturday
MLP Homework 200 Saturday
Practice Final Exam -
Final Exam 300
Total Points 1000

Assignment Overview

Discussions

You will be expected to actively participate in one assigned discussion each week. Discussion assignments will utilize what you’ve learned reading the textbook as well as the Content area of the course. The goal is for you to collectively look for patterns among the problems, provide thoughtful analysis and synthesis in all your postings, and solve problems using multiple concepts. Discussion postings also further the understanding of the concepts and ideas behind the calculations. In Weeks 4 and 8 you will also discuss study tips and methods you have employed to align your study and progress with the Course Learning Outcomes. Responses that don’t substantively add to the discussion are not considered graded responses.

In each Discussion, you will choose one (1) question to post as your initial response in the Discussion topic. You must choose a question that hasn’t been posted. Duplicate postings will not receive credit. Your initial post/response to that question will lead other students through the thought processes and key ideas or concepts used to solve the problem, or if difficulties arose, where they were encountered. In addition to responding to a question for the initial post, you will respond substantively (more than one word/short phrase) to at least one of your classmate’s posts. Initial posts are due by 11:59 pm CT Friday and responses to classmates should be posted by 11:59 pm CT Sunday each week, except in Week 8 where replies will be due at 11:59 pm CT Saturday.

A grading rubric and additional guidelines on answering Discussion questions will be provided in D2L for student review. Discussion assignments are worth 6 points each. The Introduction Discussion is worth 2 points.


Homework

You will complete MyLabsPlus (MLP) Homework each week covering one assignment per section of reading covered, except in Weeks 4 and 8, which will be review of previous weeks.

MLP Homework may be reworked until its due date before submission, as well as for extra practice after the due date; however, homework completed or redone after the due date will incur a 10% late penalty. MLP offers adaptive learning tools to assist students with the homework. If you use Show Me an Example, you will then return to your original problem and complete it. If you select Help Me Solve It, you will then complete a new, similar problem. If you miss the problem 3 times, you will then click on Similar Problem to generate a new version to complete for credit.

Grades for MLP Homework will be transferred at the end of the session.  The final score at the end of the session is the one that will be reported in the gradebook and is recorded as a percentage of the 200 points possible for homework assignments.

MLP Homework will be due by 11:59 pm CT Sunday of the week they are assigned except in Week 8, where they are due Saturday.


Quizzes

You will complete a Quiz each week in Weeks 1-3, and 5-7. Additionally, there will be Practice Exams in Weeks 4 and 8 that will be ungraded practice (worth up to 5 bonus points) for the Midterm and Final Exam.

Quizzes have a 60-minute time limit, are multiple-choice, and automatically graded. You can take the Quizzes up to 5 times during the open period and your best attempt will be recorded to the grade book. Quizzes and Practice Exams will remain open throughout all weeks in order to give you more practice, however, you are strongly encouraged to attempt at least one quiz attempt during the week the designated quiz opens. Quizzes will be locked before their appropriate week.

Quizzes are worth 25 points each, except in Weeks 4 and 8 (practice exams) which are worth up to 5 bonus points.


Exams

Midterm Exam

The Midterm Exam will test your knowledge of material covered in Weeks 1- 3 and be comprised of multiple-choice questions. The Midterm Exam will be proctored with a 2-hour time limit. You will have one attempt at the Midterm Exam. A practice Midterm Exam will be available for further practice.

The Midterm Exam will be open from 12:01 am CT Tuesday through 11:59 pm CT Sunday of Week 4. The Midterm Exam is worth 300 points.

Final Exam

The Final Exam will test your knowledge of material covered in Weeks 1-3 and Weeks 5-7 and be comprised of multiple-choice questions. The Final Exam will be proctored with a 2-hour time limit. You will have one attempt at the Final Exam. A practice Final Exam will be available for further practice.

The Final Exam will be open from 12:01 am CT Tuesday through 11:59 pm CT Saturday of Week 8. The Final Exam is worth 300 points.



Course Outline

Click on each week to view details about the activities scheduled for that week.

Week 1: Systems of Linear Equations
Readings
  • 6.1 Using Graphs and Tables to Solve Systems
  • 6.2 Using Substitution to Solve Systems
  • 6.3 Using Elimination to Solve Systems
  • 6.4 Using Systems to Model Data
  • 6.5 Perimeter, Value, Interest, and Mixture Problems
  • 6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables
Discussion 1
Post a solution to one of the math problems chosen from a list posted in the Discussion area. You will post a solution, and a process for solving the problem that may be usable to your fellow students. You must respond to at least one of your classmate’s posts.
Introductions Discussion
In the appropriate discussion topic, introduce yourself! Include information such as your experiences with Algebra and math courses, what you would like to get out of the course, and a trait you possess that you feel is unique or different from other people. Share any personal or professional details you’d like to share or your location and how long you have lived there. Only share what you feel comfortable with.
Equation Editor

Using step-by-step instructions provided in the class, you will learn how to use the HTML and Equation Editors in the Discussion posts. Use the instructions and screen shots included in the 'Equation Editor Guide' in the Content area and duplicate the 3 equations. Once you complete these 3 equations, post your work to the EE Editor discussion topic. Note: this is an ungraded assignment, but one that is critical for you to learn how to use the equation editor for completing the discussion assignments in the course.

MLP Homework

Complete the MLP Homework which requires answering questions/problems corresponding to topics discussed in the assigned reading for this week. This unit specifically covers how to use the course and MLP.

Your homework grade will be recorded at the end of the class, as a percentage of the 200 points possible, based on the points earned in MLP.

Quiz 1
Covers assigned reading/topics for Week 1.
Week 2: Polynomial Expressions and Equations
Readings
  • 7.1 Graphing Quadratic Equations
  • 7.2 Quadratic Models
  • 7.3 Adding and Subtracting Polynomials
  • 7.4 Multiplying Polynomials
  • 7.5 Powers of Polynomials
  • 7.6 Properties of Exponents
Discussion 2
Post a solution to one of the math problems chosen from a list posted in the Discussion area. You will post a solution, and a process for solving the problem that may be usable to your fellow students. You must respond to at least one of your classmate’s posts.
MLP Homework

Complete the MLP Homework which requires answering questions/problems corresponding to topics discussed in the assigned reading for this week.

Your homework grade will be recorded at the end of the class, as a percentage of the 200 points possible, based on the points earned in MLP.

Quiz 2
Covers assigned reading/topics for Week 2.
Proctor Information
Submit your proctor form to the appropriate Dropbox folder by the end of the week. Remember to “Save” the form before placing it in Dropbox. See the Content area for more information.
Week 3: Factoring
Readings
  • 7.7 Negative-integer exponents
  • 7.8 Dividing Polynomials
  • 8.1 Factoring Trinomials of the Form x2 + bx + c. and differences of two squares
  • 8.2 Factoring out the GCF and Factoring by Grouping
  • 8.3 Factoring Trinomials of the form ax2 + bx + c
Discussion 3
Post a solution to one of the math problems chosen from a list posted in the Discussion area. You will post a solution, and a process for solving the problem that may be usable to your fellow students. You must respond to at least one of your classmate’s posts.
MLP Homework

Complete the MLP Homework which requires answering questions/problems corresponding to topics discussed in the assigned reading for this week.

Your homework grade will be recorded at the end of the class, as a percentage of the 200 points possible, based on the points earned in MLP.

Quiz 3
Covers assigned reading/topics for Week 3.
Week 4: Midterm Exam
Readings
  • Review assigned readings from Weeks 1-3.
Discussion 4
You will answer a unique problem chosen from the Practice Midterm Exam. You will post your original response/solution and a process for solving the problem that may be usable to your fellow students. You will then respond to at least one of your  classmate’s posts. Additionally, you will also discuss study tips and methods that tie back to the Course Learning Objectives (CLOS) you have employed to align your study and progress with the Course Learning Outcomes.
MLP Homework
Review previous homework in preparation for the Midterm Exam.
Practice Midterm Exam
The Practice Midterm Exam reviews material from Weeks 1-3. It does not count toward your grade. The highest percentage is multiplied by 5 to earn bonus points up to 5 points.
Midterm Exam
The Midterm Exam will be open from 12:01 am CT Tuesday through 11:59 pm CT Sunday of Week 4. It will cover material in Weeks 1-3.
Week 5: Quadratic Functions
Readings
  • 8.5 Solving Polynomial Equations
  • 8.6 Using Factoring to Make Predictions with Quadratic Models
  • 9.1 Simplifying Radical Expressions
  • 9.2 Simplifying More Radical Expressions
  • 9.3 Solving Quadratic Equations by the Square Root Property: The Pythagorean Theorem
  • 9.4 Solving Quadratic Equations by Completing the Square
Discussion 5
Post a solution to one of the math problems chosen from a list posted in the Discussion area. You will post a solution, and a process for solving the problem that may be usable to your fellow students. You must respond to at least one of your classmate’s posts.
MLP Homework

Complete the MLP Homework which requires answering questions/problems corresponding to topics discussed in the assigned reading for this week.

Your homework grade will be recorded at the end of the class, as a percentage of the 200 points possible, based on the points earned in MLP.

Quiz 4
Covers assigned reading/topics for Week 5.
Week 6: Quadratic and Rational Functions
Readings
  • 9.5 Solving Quadratic Equations by the Quadratic Formula
  • 10.1 Simplifying Rational Expressions
  • 10.2 Multiplying and Dividing Rational Expressions
  • 10.3 Adding Rational Expressions
  • 10.4 Subtracting Rational Expressions
  • 10.5 Solve Rational Equations
Discussion 6
Post a solution to one of the math problems chosen from a list posted in the Discussion area. You will post a solution, and a process for solving the problem that may be usable to your fellow students. You must respond to at least one of your classmate’s posts.
MLP Homework

Complete the MLP Homework which requires answering questions/problems corresponding to topics discussed in the assigned reading for this week.

Your homework grade will be recorded at the end of the class, as a percentage of the 200 points possible, based on the points earned in MLP.

Quiz 5
Covers assigned reading/topics for Week 6.
Course Evaluation
Please evaluate the course. You will have an opportunity to evaluate the course near the end of the session. A link sent to your CougarMail will allow you to access the evaluation. Please note that these evaluations are provided so that I can improve the course, find out what students perceive to be its strengths and weaknesses, and in general assess the success of the course. Please do take the time to fill this out.
Week 7: Proportions
Readings
  • 10.6 Proportions; Similar Triangles
  • 10.8 Simplifying Complex Rational Expressions
  • 11.1 Adding and Subtracting Radical Expressions
  • 11.2 Multiplying Radical Expressions
  • 11.3 Solving Square Root Equations
Discussion 7
Post a solution to one of the math problems chosen from a list posted in the Discussion area. You will post a solution, and a process for solving the problem that may be usable to your fellow students. You must respond to at least one of your classmate’s posts.
MLP Homework

Complete the MLP Homework which requires answering questions/problems corresponding to topics discussed in the assigned reading for this week.

Your homework grade will be recorded at the end of the class, as a percentage of the 200 points possible, based on the points earned in MLP.

Quiz 6
Covers assigned reading/topics for Week 7.
Week 8: Final Exam
Readings
  • Review assigned readings from Weeks 1-3 and Weeks 5-7.
Discussion 8
You will answer a unique problem chosen from the Practice Final Exam. You will post your original response/solution and a process for solving the problem that may be usable to your fellow students. You will then respond to at least one of your classmate’s posts. Additionally, you will also discuss study tips and methods that tie back to the Course Learning Objectives (CLOS) you have employed to align your study and progress with the Course Learning Outcomes.
MLP Homework
Review previous homework in preparation for the Final Exam.
Practice Final Exam

The Practice Final Exam reviews material from Weeks 1-3 and Weeks 5-7. It does not count toward your grade. The highest percentage is multiplied by 5 to earn bonus points up to 5 points.

Final Exam
The Final Exam will be open from 12:01 am CT Tuesday through 11:59 pm CT Saturday of Week 8. It will cover material in Weeks 1-3 and 5-7.


Course Policies

Student Conduct

All Columbia College students, whether enrolled in a land-based or online course, are responsible for behaving in a manner consistent with Columbia College's Student Conduct Code and Acceptable Use Policy. Students violating these policies will be referred to the office of Student Affairs and/or the office of Academic Affairs for possible disciplinary action. The Student Code of Conduct and the Computer Use Policy for students can be found in the Columbia College Student Handbook. The Handbook is available online; you can also obtain a copy by calling the Student Affairs office (Campus Life) at 573-875-7400. The teacher maintains the right to manage a positive learning environment, and all students must adhere to the conventions of online etiquette.

Plagiarism

Your grade will be based in large part on the originality of your ideas and your written presentation of these ideas. Presenting the words, ideas, or expression of another in any form as your own is plagiarism. Students who fail to properly give credit for information contained in their written work (papers, journals, exams, etc.) are violating the intellectual property rights of the original author. For proper citation of the original authors, you should reference the appropriate publication manual for your degree program or course (APA, MLA, etc.). Violations are taken seriously in higher education and may result in a failing grade on the assignment, a grade of "F" for the course, or dismissal from the College.

Collaboration conducted between students without prior permission from the instructor is considered plagiarism and will be treated as such. Spouses and roommates taking the same course should be particularly careful.

All required papers may be submitted for textual similarity review to Turnitin.com for the detection of plagiarism. All submitted papers may be included in the Turnitin.com reference database for the purpose of detecting plagiarism. This service is subject to the Terms and Conditions of Use posted on the Turnitin.com site.

Non-Discrimination

There will be no discrimination on the basis of sex, race, color, national origin, sexual orientation, religion, ideology, political affiliation, veteran status, age, physical handicap, or marital status.

Student Accessibility Resources

Students with documented disabilities who may need academic services for this course are required to register with the office of Student Accessibility Resources. Until the student has been cleared through this office, accommodations do not have to be granted. If you are a student who has a documented disability, it is important for you to read the entire syllabus as soon as possible. The structure or the content of the course may make an accommodation not feasible. Student Accessibility Resources is located in Student Affairs in AHSC 215 and can be reached by phone at (573) 875-7626 or email at sar@ccis.edu.

Online Participation

You are expected to read the assigned texts and participate in the discussions and other course activities each week. Assignments should be posted by the due dates stated on the grading schedule in your syllabus. If an emergency arises that prevents you from participating in class, please let your instructor know as soon as possible.

Attendance Policy

Attendance for a week will be counted as having submitted any assigned activity for which points are earned. Attendance for the week is based upon the date work is submitted. A class week is defined as the period of time between Monday and Sunday (except for week 8, when the work and the course will end on Saturday at midnight.) The course and system deadlines are based on the Central Time Zone.

Cougar Email

All students are provided a CougarMail account when they enroll in classes at Columbia College. You are responsible for monitoring email from that account for important messages from the College and from your instructor. You may forward your Cougar email account to another account; however, the College cannot be held responsible for breaches in security or service interruptions with other email providers.

Students should use email for private messages to the instructor and other students. The class discussions are for public messages so the class members can each see what others have to say about any given topic and respond.

Late Assignment Policy

An online class requires regular participation and a commitment to your instructor and your classmates to regularly engage in the reading, discussion and writing assignments. Although most of the online communication for this course is asynchronous, you must be able to commit to the schedule of work for the class for the next eight weeks. You must keep up with the schedule of reading and writing to successfully complete the class.

No late discussion posts will be accepted.

Late MLP Homework will incur a 10% penalty.

Course Evaluation

You will have an opportunity to evaluate the course near the end of the session. A link will be sent to your CougarMail that will allow you to access the evaluation. Be assured that the evaluations are anonymous and that your instructor will not be able to see them until after final grades are submitted.

Proctor Policy

Students taking courses that require proctored exams must submit their completed proctor request forms to their instructors by the end of the second week of the session. Proctors located at Columbia College campuses are automatically approved. The use of ProctorU services is also automatically approved. The instructor of each course will consider any other choice of proctor for approval or denial. Additional proctor choices the instructor will consider include: public librarians, high school or college instructors, high school or college counseling services, commanding officers, education service officers, and other proctoring services. Personal friends, family members, athletic coaches and direct supervisors are not acceptable.


Additional Resources

Orientation for New Students

This course is offered online, using course management software provided by Desire2Learn and Columbia College. The course user guide provides details about taking an online course at Columbia College. You may also want to visit the course demonstration to view a sample course before this one opens.

Technical Support

If you have problems accessing the course or posting your assignments, contact your instructor, the Columbia College Helpdesk, or the D2L Helpdesk for assistance. Contact information is also available within the online course environment.

Online Tutoring

Smarthinking is a free online tutoring service available to all Columbia College students. Smarthinking provides real-time online tutoring and homework help for Math, English, and Writing. Smarthinking also provides access to live tutorials in writing and math, as well as a full range of study resources, including writing manuals, sample problems, and study skills manuals. You can access the service from wherever you have a connection to the Internet. I encourage you to take advantage of this free service provided by the college.

Access Smarthinking through CougarTrack under Students -> Academics -> Academic Resources.


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