# Introductory Algebra

**Course Description:** Real number system, order of
operations; Algebraic problem solving, solving linear equations; Cartesian
coordinate system, graphs of equations; Exponents and radicals; Factoring
polynomials, solving equations by factoring.

Four Credits. (Credits not applicable toward graduation.)

**Note: **This course serves as a pre-requisite for
MATH 110 (College Algebra), MATH 130 (Introductory Statistics),

or MATH 155 (Mathematics, A Way of Thinking). You must earn at least a “C” grade
to qualify for the next course

in your sequence.

**Course Goals and Student Outcomes:**

1. Students will demonstrate their readiness for learning
algebra.

(a) Students will take ALEKS assessment.

(b) Students will work through pre- algebra ALEKS modules indicated as necessary.

2. Students will improve their mastery of algebraic
skills.

(a) Students will take ALEKS assessment of algebra knowledge and skills.

(b) Students will work through the ALEKS modules indicated as necessary.

(c) Students will take indicated exams to demonstrate their learning.

3. Students will develop their ability to apply algebraic
thinking and procedures to problem solving.

(a) Students will work through the ALEKS modules that focus on problem solving.

**Course Procedures and Policies:**

**MATH 001:** Math 001, “Introductory Algebra”, is a
not-for-graduation-credit course intended to prepare students for the various
courses for which 001 is a pre-requisite, namely MATH 110 (College Algebra),
MATH 130 (Introductory Statistics), and MATH 155 (Mathematics, A Way of
Thinking). This course should be a refresher course for you, as the material
would have been covered in high school Algebra 1 and Algebra 2 classes, which
explains why this course is numbered 001, and why the 4 credits you will earn
here do not count toward graduation, even though they do count toward full-time
status. If you did not complete Algebra 1 or Algebra 2 in high school, you will
find this class more challenging. Each student should be prepared to commit at
least 8 hours each week working on the ALEKS program, four of those hours coming
from work in the classroom.

Your placement score indicated that you have not mastered this content, whatever the reason. To make the best of the situation, your goal here must be to learn this material and master the necessary skills so that you can be successful in the courses you eventually need to take as part of your college program.

**ALEKS: **ALEKS (Assessment and LEarning in Knowledge
Spaces) is a web-based program designed to carefully assess what students know
and what they are ready to learn, and then to methodically tutor them in the
given material, in this case Introductory Algebra. After registering, you will
begin by going through a brief tutorial on the use of the ALEKS input tool, also
called the “Answer Editor.” Then the program will have you take the Initial
Assessment.

Probably the best thing about ALEKS is that it allows each student to take a course specifically designed for his/her individual needs – students will be working at their own pace* and working on material they are ready to learn. The implication of this is that I will not be lecturing on topics in the customary way. My role as instructor here is to monitor your learning and to engage in individual tutoring as the need arises. *You may find you need to put in more time than other students to keep up with the intermediate objectives.

Another advantage to using ALEKS is that since it is web-based you can work on your course anywhere you have internet access. ALEKS will remember where you left off and will always make sure that you have shown readiness before presenting new material. Exception to this rule: All Quizzes and the Completion Assessment must be taken during class.

**Be sure to do your own work! Your best preparation for
quizzes and assessments is when you have been working with ALEKS yourself. By
allowing someone else to do your work for you, the only person you are cheating
is yourself.**

**Grading System:** Your grade will be determined by
the following six factors:

30% **(1) ALEKS Quizzes:** 200 points possible (10 quizzes x 20 points each)

15%** (2) ALEKS modules completed:** 100 points possible (percentage of
modules completed based on final assessment)

30% **(3) Mid- term and final :** 200 points possible (100 for mid-term, 100
for final)

11% **(4) ALEKS Hours:** 75 points possible (15 weeks x 5 points each)

14% **(5) Study Skills Assignments: **90 points possible (9 assignments x 10
points each)

+/- **(6) Attendance:** Mandatory - Important determination for borderline
grades

This makes for a total of 665 points. Grades will be
assigned according to the scale:

A 93% or above

AB 88 – 92%

B 82 – 87%

BC 77 – 81%

C 70 – 76% **NOTE** You need at least a “C” grade to be allowed to advance to
the next course in your sequence.

CD 65 – 69%

D 60 – 64%

F < 60%

**(1) ALEKS Quizzes:** Throughout the semester,
essentially each week, you will be taking quizzes online covering the topics
within each chapter. Each Quiz will be worth 20 points, and must be taken in
class, with the instructor present. You can take the quizzes as soon as you
complete a chapter, however, there will be a due date at which point you must
have the quiz completed whether or not you have finished the material on ALEKS.
To help you preview the topics which may appear on each quiz, I have created
Chapter Practice quizzes which can be found with the Quizzes. These Chapter
Practice quizzes can be worked on outside of class, and you are not limited to
the number of times you can take it. You can review your results for each
Practice quiz, and can take the Practice quizzes over and over.

When you are ready to take the Chapter Quiz, or when the deadline date has approached, the Quiz is taken during class time. There will not be any retakes, so to preview the topics which may appear on the Quiz, look at the Chapter Practice Problems. As you take your quiz, create an answer sheet which neatly shows your work and answers for each problem. That answer sheet must be turned-in upon completion of your Quiz. This allows you to receive partial credit where appropriate.

**You CANNOT use any notes or other individuals for
assistance during the Quizzes. **

*****NOTE: **You do not make progress in your PIE when
you work on quizzes or practice quizzes. You only make progress when you work on
the program by choosing topics from your PIE.

**A calculator is allowed for all in-class assessments
EXCEPT for Quiz #1**.

The quiz deadline dates are found on the Course Calendar, located on Blackboard under “Course Documents”.

**(2) ALEKS** Modules Completed: On the last two days
of class you will take a final assessment, triggered by me. The percentage you
score on that assessment is the number of points you receive, based out of 100*.
This assessment must be completed in the classroom. If you do not finish in one
class period, you MUST NOT log on to ALEKS again until you return the next day
for class, at which time you can complete your assessment. You must leave record
with me as to which problem you were on when you leave, and if you are not on
that same problem when you return, you must take the assessment again in the
Learning Center. **The use of notes is NOT allowed during the assessment. **

The Completion Assessment will be cumulative, meaning that
it will cover all of the topics in the course, not just the ones you have
currently been working on. This is different from the automatic assessments
generated by ALEKS throughout the semester – those assessments cover material
you have recently learned or may be ready to learn. ***Due to the different
nature of the assessment, you are guaranteed a grade no less than your blue-line
value prior to taking the Completion Assessment (assuming no drastic advancement
has taken place). However, you may score better than your last assessment, so
the higher of the two scores will be recorded. **

**(3) Midterm and Final: **The Mid-Term and Final will
be a traditional hard-copy test. It will not be an online assessment. Some of
you may not be on schedule for the assessments, and this will no doubt affect
your performance and, in turn, your Mid-Term and final course grade. The lesson
learned here is that part of success in a course is learning the material within
a designated amount of time. **The use of notes is NOT allowed during the
midterm or final.**

**(4) ALEKS Time:** In order for you to make progress
through the program, you need to spend additional time working on ALEKS outside
of class time. Your goal should be to spend at least 8 hours each week on ALEKS.
To help you achieve that goal, your time on ALEKS will contribute to your grade.
If you miss class during the week, you are still responsible for the full 8
hours. The "Week" will begin on Mondays. Each week your hourly totals will begin
at zero (the time clock on ALEKS does not reset- - you need to keep track on
your own), and can be accumulated until 8 a.m. the following Monday. You will
not be penalized for any deficits from the previous week, nor will you be able
to carry over any excess hours.

The points will be awarded as follows:

5 points - 8 or more hours

4 points - 6 - 7.9 hours

3 points - 4 - 5.9 hours

2 points - 3 - 3.9 hours

1 point - 2 - 2.9 hours

0 points - fewer than 2 hours

**(5) Study Skills Assignments: **Did you know that
poor performance in math is rarely due to lack of intelligence? The key to
success is having the right approach to studying and learning. You will need to
complete 9 assignments which will help you discover areas that are holding you
back, and receive suggestions and activities to help you improve your approach
to studying math. Descriptions of the assignments along with a grading rubric
are available on Blackboard under “Assignments.” **The due dates for each
assignment are found on the Course Calendar, located on Blackboard under “Course
Documents.”** Assignments can be submitted online via Blackboard’s Digital
Dropbox, or brought to class. You can complete the assignments early and receive
2 extra credit points for each early assignment. No late work will be accepted.

**(6) Attendance:** A major factor in learning
mathematics is a regular and focused schedule of practice. You need to practice
virtually every day, and for a considerable amount of time each day in order to
establish a solid foundation in algebra. To help you work on ALEKS, classroom
attendance is REQUIRED every day. I will be keeping track, and will contact you
if you miss too many classes. Your attendance will become a factor if your grade
falls on a border between two grading categories.

**If you miss class on the day of a test or quiz, you
must notify me immediately. Failure to contact me in a timely manner regarding
your absence will result in you forfeiting your right to make-up the exam. If
you know ahead of time you will be gone the day of a quiz or test, we can
arrange to have you take it at another time. **

**Schedule:** Your starting point and rate of progress
are based on your initial assessment and learning rate. Because ALEKS allows
students to work at their individual pace, students will be at a variety of
places in the material throughout the semester. Still, in order to pass the
course and move into the subsequent course you will need to demonstrate
sufficient knowledge of the material within the semester’s time constraints.

It is possible that some of you will actually complete the ALEKS course before the calendar indicates the semester is over, and that’s fine. I will still have you take the final exam with the rest of the class on the scheduled date. And it is possible that some of you may reach May without completing the material. ALEKS offers a guarantee that if you do not pass the course despite having put in at least 80 hours, your license to use ALEKS can be renewed for a semester at no cost. In this case, you will be given a grade of “I” (Incomplete), allowing you to work towards completion of the course during the next semester. Of course, this is far from ideal since it means you could not yet enroll in the course you need to take for your major. Use the Quiz dates as a goal for completion!

**Americans with Disabilities Act:** If you are a
person with a disability and require any auxiliary aids, services, or other
accommodations for this class, please see me and/or Jane Eddy, the campus ADA
coordinator (MC 332, 796-3194), within ten days to discuss your needs.

**Academic Honesty: **Per University policy (handbook
page 131), you are expected to do your own work for this class. This includes
and is not limited to the completion of all ALEKS work, including practice
within ALEKS, and assessments. One example of dishonest behavior would be
allowing another student to work problems for you in ALEKS. A second example
would be having another student take all or part of an online assessment for
you. If it is suspected that you violated this policy, you will need to retake
the assessment under supervision.

The policies and outline of this course are subject to change at the discretion of the instructor.

## Using ALEKS

On the first day of class, each of you will log in and we will examine the basics of using ALEKS. I will ask you to work your way through the “Answer Editor” tutorial so that you become familiar with how to enter mathematical expressions for assessments, on-line work and quizzes. You will then take the initial ALEKS assessment to get a baseline rating of your skills and readiness for the material in this course. DO NOT ask anyone for help, and do not use previous notes or the textbook for assistance. It is important that you always put forth your best effort when taking assessments, because this is how ALEKS determines whether or not you have mastered the material already learned.

ALEKS keeps track of (and lets your instructor see) how much you have mastered and what you are ready to learn. Below are the topics covered in this course.

**Our basic course content →**

1. Arithmetic Readiness [Text:
Chapter R]

Fractions

Decimals

Proportions and percents

2. Real Numbers [Text:
Chapter 1]

Number systems

Real Number operations

Order of Operations

Substitution and evaluation

Algebraic symbols

Properties of real numbers

3. Solving Linear Equations
[Text: Chapter 2]

Properties of Equality

One occurrence of the variable

Several occurrences of the variable

Inequalities

Applications: Geometry & Problem Solving

4. Graphing and Functions
[Text: Chapter 3, 7]

Ordered pairs

Graphing

Inequalities

Writing Equations

Variation

5. Exponents and Polynomials
[Text: Chapter 4, 5]

Properties of exponents

Scientific Notation

Polynomials

Factoring

- Quadratic polynomials

- Special formulas

- Multivariable polynomials

6. Rational Expressions
[Text: Chapter 6]

Simplifying expressions

Solving equations

Complex Fractions

Ratio, Proportion, and Applications

7. Systems of Linear Equations
[Text: Chapter 8]

Linear equations

Applications

System of Linear Inequalities

8. Radicals and Quadratic Equations
[Text: Chapter 9, 10]

Simplifying radical expressions

Solving radical and quadratic equations

Pythagorean Theorem and other Applications

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