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MATH 096, MATHEMATICS
IN ACTION II
6 PERIODS, 5 LECTURES, 1 LAB. 0 CREDIT
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Catalog Description:
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This course introduces you to the concept of a function via
numerical, graphical, and algebraic representations. Operations
with polynomials, rational expressions, and radicals are explored
in the context of functions. Linear equations and inequalities
and quadratic equations are also studied. Students are introduced
to data collecting and elementary formulations of models for
data. An emphasis will be placed on problem solving skills
incorporating the use of a graphing calculator. A graphing
calculator will be required. [Top]
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Instructional Objectives
During this course, the instructor expects to:
- Introduce you to the concept of a function via algebraic,
graphical, and numerical representations.
- Introduce you to polynomial (including linear, quadratic,
and power) functions, absolute value functions, reciprocal
functions, and exponential functions and their domain and
range.
- Explore properties of linear, quadratic, and exponential
models.
- Provide you with skills for the further study of mathematics.
- Use a graphing calculator to develop properties of polynomial
and other
functions and to use it to help understand mathematical
problems.
- Introduce you to data collection, averaging, and graphical
analysis of data.
- Promote an appreciation of different problem solving approaches
as they relate to your cultural background and diversity.[Top]
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Performance Objectives:
At the conclusions of this course, you will be able to:
- Use various representations of functions and understand
their properties.
- Identify basic characteristics of polynomial (including
linear, quadratic, and power) functions, absolute value
functions, reciprocal functions, and exponential functions.
- Compare and contrast linear, exponential, and quadratic
models and apply these models in real world problem solving
as well as in theoretical settings.
- Solve linear equations and inequalities and quadratic
equations, performs operations with algebraic expressions,
find the equation of a line, and graph linear equations.
- Graph functions studied in this course using a graphing
calculator and be able to use various features of the graphing
calculator to help understand and solve mathematical problems.
- Calculate averages and graph data with a graphing calculator.
- Demonstrate different approaches to problem solving.[Top]
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Attendance
| More than 3 unexcused absences will result in a grade of WU
or F. [Top] |
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Textbooks:
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The text, which is available at the college book store, is:
Intermediate Algebra: A Graphing Approach ( Second Edition)
by Martin-Gay and Green (Prentice Hall) [Top]
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Graphing Calculator
| A graphing calculator (preferably a TI-83) is an essential
tool and is required for this course [Top] |
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Grading Standards:
a) Contribution to Collaborative Learning.... 5 %
b) Quizzes.................................................
20 %
c) Portfolio .................................................15
%
d) 2 Gateway Exams...................................30
%
e) Final Gateway.........................................30
%
Minimum Required:
An overall grade of 70% is the minimum passing grade.[Top]
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| Explanation
of Grading Standards |
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The gateway exams are departmental. Each gateway will consist
of two parts: Part I will contain 15 questions which are designed
to test skills and algebraic manipulations, while Part II
will contain 8 word problems which will test conceptual understanding.
You will be required to answer any 5 questions in Part II.
Partial credit will be awarded and no credit will be given
if no work is shown, so it is important for you to show every
step in your solutions leading to the final answers. Calculators
may be used for all exams.
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| 2. Collaborative Learning |
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Working with others to solve a problem is a skill valued
in the workplace. You must be able to discuss your ideas with
others and be willing to have them critiqued and improved
upon. Therefore, a portion of your grade will be based on
your ability to solve mathematical problems with your classmates.
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Your portfolio is a folder containing projects (a minimum
of two) and problems from your text assigned to you throughout
the semester. Some of the projects will require you to use
a graphing calculator and will incorporate ideas introduces
in the classroom. The projects will include a portion devoted
to your ability to express mathematical ideas in writing.
Being able to write down your ideas and communicate them effectively
is another important skill for the workplace. A project may
require you to do research in the library. You may discuss
a project with classmates outside the classroom, but you must
write it up using your own words and ideas.
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Your professor will give several quizzes during the course
of the semester.
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You will meet in the Math Lab (E-215) one hour every week
an work on lab sheets containing problems that will enhance
your computational skills. You are encouraged to work together
and learn from each other. Should you need further assistance,
you may ask the lab assistants or bring your questions up
with the professor in class. These sheets must be handed in
to the lab assistants at the end of the hour. They will then
be placed in your professor's folder for review. [Top]
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COURSE
OUTLINE FOR MATH 096
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Text: Intermediate Algebra: A Graphing Approach
by Martin-Gay and Greene (Prentice Hall)
The following schedule of assignments should be taken as
basis for the actual schedule of assignments to be followed
in the classroom. Topics put in parentheses should be considered
optional.
Unless the professor says otherwise, students should do the
odd numbered problems assigned as homework. The homework problems
specified below may be modified by your professor.
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LES.
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SEC.
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PG.
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TOPIC
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EXERCISES
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PAGE
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1-2
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1.2
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19-28
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Operations on Real Numbers
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1-12, 27-73 odd, 81-84
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29,31
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3
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1.4
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41.47
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Solving Linear Equations Algebraically
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1-20 odd, 23-29
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47, 49
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4
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Pre-Test
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5
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1.5
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49-55
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An Introduction to Problem Solving
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1-8, 17-32, 41, 57,59
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56-59
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6-7
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1.6
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59-65
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A Numerical Approach: Modeling with Tables
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5, 9-21, 29, 30, 31
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66, 70
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8
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1.7
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71-76
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Formulas and Problem Solving |
1-8
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77
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9
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Quiz 1: Designed by Professor
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10
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2.1
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106-118
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Introduction to Graphing and Graphing Utilities
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1-10, 29-34
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118,119
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11
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2.1
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106-118
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Continue
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61- 84
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120,121
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12
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2.2
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123-133
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Introduction to Functions
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1-4, 15-18, 23-28, 47-63
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133-138
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13
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2.3
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139-146
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Graphing Linear Functions
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9-20, 29-32
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146-147
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14
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2.4
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149-159
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The Slope of a Line
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1-8, 26-32,34-37, 60-65
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160-162
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15&16
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2.5
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164-170
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Equations of Lines
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1-16,21-30,40-45,47-52
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171-172
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17
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3.1
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196-202
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Solving Linear Equations Graphically
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11-18, 41, 42
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203
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18
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3.2
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204-214
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Solving Linear Inequalities and Problem Solving
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3-8, 35-44
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214-215
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19
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(3.6)
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239-243
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(Graphing Linear Inequalities in Two Variables)
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1-9, 47-50
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244
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20&21
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4.1
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256-265
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Solving Systems of Linear Equations in 2 Variable
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3-6, 15-18
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266
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22
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4.3
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274-281
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Systems of Linear Equations and Problem Solving
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1, 2, 5-9, 11, 12, 14-18
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282
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23
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Quiz 2: Designed by Professor
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24
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Gateway 1 Part 1Review
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Chapters 1 through 5
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25
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Gateway 1 Part 1 Exam
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Chapters 1 through 5
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26
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Gateway 1 Part II Review
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Chapters 1 through 5
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27
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Gateway 1 Part II Exam
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Chapters 1 through 5
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28
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5.1
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312-318
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Exponents and Scientific Notation
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1-15odd, 23-34, 52-81
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319
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29
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5.2
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320-324
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More Work with Exponents and Scientific Notation
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1-11, 18-20, 23-50, 57-70
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324, 325
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30
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503
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327-333
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Polynomials and Polynomial Functions
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55-62
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336
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31
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5.4
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338-343
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Multiplying Polynomial
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4-12, 19-24, 27-34
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344
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32
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5.5
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346-349
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The Greatest Common Factor and Factoring by Grouping
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3-16, 33-442
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349
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33&34
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5.6
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351-357
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Factoring Trinomials
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1-11, 21-28, 53-60
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358
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35
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5.7
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359-365
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Factoring by Special Product and Factoring Strategies
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1-12, 68, 70
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365,366
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36
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6.1
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388-395
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Rational Functions and Simplifying Rational Expressions
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17-29
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396
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37
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6.1
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388-395
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Multiplying and Dividing Rational Expressions
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37-54
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396
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38&39
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6.2
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398-402
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Adding and Subtracting Rational Expressions
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27-34, 41-47, 51-58
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403,404
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40
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6.3
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405-408
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Simplifying Complex Fractions
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1-4, 36-42
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409,410
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41
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Quiz 3: Designed by Professor
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42
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6.4
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411-414
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Dividing Polynomials
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23-28,31-37
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416
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43
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6.6
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421-424
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Solving Equations Containing Rational Expressions
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11-15
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425
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44
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6.7
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428-434
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Rational Equations and Problem Solving
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27-33
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435-436
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45
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7.1
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460-464
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Radicals and Radical Functions
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11,12,21,22,25,31,32
55-64
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465, 466
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46
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7.2
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467-472
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Rational Exponents
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1-6, 29-34
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472
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47
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7.3
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474-477
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Simplifying Radical Expressions
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1-6, 31-45
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478
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48
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7.4
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479-481
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Adding, Subtracting and Multiplying Radical Expressions
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1-10, 47-52
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482
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49
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7.5
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483-487
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Rationalizing Numerators and Denominators of Radical
Expressions
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1-7,29-34,49-54,66-68
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488
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50
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7.6
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489-494
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Radical Equations and Problem Solving 1-10 495
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1-10
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495
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51
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8.1
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516-523
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Solving Quadratic Equations by Completing the Square
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1-12, 39-42
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524, 525
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52
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8.2
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526-532
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Solving Quadratic Equations by the Quadratic Formula
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1-12
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533
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53
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8.3
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536-541
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Solving Equations by Using Quadratic Methods
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7-12, 15-18
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542
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54
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8.5
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552-558
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Quadratic Functions and Their Graphs
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5-10, 15-18
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558
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55
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Quiz 4: Designed by Professor
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56
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Gateway 2 Review
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Chapters 6 through 9
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57
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Gateway 2 Part 1 Exam
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Chapters 6 through 9
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58
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Gateway 2 Part II Review
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Chapters 6 through 9
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59
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Gateway 2 Part 2 Exam
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Chapters 6 through 9
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60&61
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Final Review
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Chapters 1 through 9
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FINALS WEEK
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