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MATL 098L2
INTRODUCTION TO ALGEBRA II LAB |
Instructor: |
Mrs.
Debra Lotsbaich |
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Semester: Winter, 2003 |
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Credit Hours:
0 credit hours, 2 contact hours With also 3 hours of lecture required on MWF |
Office Hours: |
By appointment
only |
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Time: |
Office Phone: Home Phone: e-mail |
574-239-8373
269-695-6182 dlotsbaich@hcc-nd.edu |
1.
PREREQUISITES
Successful completion of Math 097 or
its equivalent. (See Course Description)
2.
TEXTBOOKS
A.
Required
Beginning Algebra,
B. Optional
A calculator
3.
COURSE
DESCRIPTION
4.
GOALS AND
OBJECTIVES
Both content objectives and
transferable skill objectives are listed after the assignment sheet.
5. GRADING CRITERIA AND REQUIREMENTS
Each lab assignment will count 10
points. If you score more than 80%, you
will earn a 10. If your score is less
than 80%, divide your percentage (# problems right / total # problems) by
10. For example, a lab with 60% would
count as 6 out of 10, a lab with 65% would be 6.5 out
of 10. Feel free to do labs over until
you achieve a score of 80% or higher. A
missed lab results in a score of 0 out of 10.
To earn credit for a lab, it must be
turned in BEFORE THE TEST IS TAKEN,
and WITH ALL SCRAP WORK attached and
neatly numbered.
Your lab scores will be factored into
your grade in your 98 lecture class (on M W F).
6.
GRADING
SCALE
Reminder: you will receive a letter grade for your MWF
class, but it will not count in your GPA.
7.
MAKE-UP
POLICY
As there are no quizzes or tests in this class, no policy is needed in that regard. A student who is absent must be sure to keep up with the deadlines established on the assignment sheet and hand in work on a timely basis. The student is encouraged to contact me to discuss any difficulties that may arise.
8.
ATTENDANCE
POLICY/ WITHDRAWAL POLICY
Class attendance is required in BOTH the lectures AND the labs. Try not to miss any class or lab.
January 22 is
the last day to drop a class. March 21
is the last day for class withdrawal with a grade of W.
9. OTHER
INFORMATION
·
Special Needs/
Learning Disabilities:
You are encouraged to make
known to us any problems
which may make it difficult for you to learn math. We will do our best to work with you to help
you succeed.
·
Good Advice:
If you are ever discouraged or
have concerns or questions, do not hesitate to talk with me. Please call or make an appointment.
·
Tutoring:
You are encouraged to make use
of the
·
Important Dates:
January 20 is
the last day to add a class
January
22 is the last day to
drop a class
March
8 - 16 is spring break
March
21 is the last day for class withdrawal with a grade of “w”
April
18-21 Easter Break
May 2 Last day to
withdrawal with grade of WP/WF
May
5 – 8 is exam week
Day Date Lab Assignment Due
T 1-14 Review Sheet
Th 1-16 6.1 Greatest Common Factor (GCF) &
Factor by
grouping
T 1-21 6.2 Factoring Trinomials
Th 1-23 6.3 More Trinomials to Factor
T 1-28 6.4 The Difference
of Two Squares
Th 1-30 6.5 Factoring: A General Review
T 2-4 6.6 Solving Equations by Factoring
Th 2-6 6.7 Applications
Reminder: All labs from chapter 6 must be turned in BEFORE the test on Friday, February 7.
T 2-11 7.1 Reducing Rational Expressions to Lowest
Terms
Th 2-13 7.2 Multiplication and Division of Rational
Expressions
T 2-18 7.3 Addition and Subtraction of Rational
Expressions
Th 2-20 7.4 Equations involving Rational Expressions
T 2-25 7.5 Applications
7.6 Complex Fractions
Th 2-27 7.7 Proportions
T 3-4 7.8 Variation
Reminder: All labs from chapter 7 must be turned in BEFORE the test on Wednesday, March 5.
Th 3-6 8.1 Definitions and Common Roots
Saturday, March 8 through Sunday, March 16 is SPRING BREAK!!!
Day Date Lab Assignment Due
T 3-18 8.2 Properties of Radicals
Th 3-20 8.3 Simplified Form of Radicals
T 3-25 8.4 Addition and Subtraction of Radical
Expressions
Th 3-27 8.5 Multiplication and Division of Radicals
8.6 Equations Involving Radicals
Reminder: All labs from chapter 8 must be turned in BEFORE the test on Monday, March 31.
T 4-1 9.1 More Quadratic Equations
Th 4-3 9.2 Completing the Square
T 4-8 9.3 The Quadratic
Formula
Th 4-10 9.3 Continued
T 4-15 9.4 Complex Numbers
Th 4-17 9-5 Complex Solutions to Quadratic Equations
Friday,
April 18 to
Monday, April 21 is EASTER BREAK!!!
T 4-22 9-5
Continued
Th 4-24 Review
Chapter 9
Reminder: All labs from chapter 9 should be turned in BEFORE the test on Monday, April 28.
T 4-29 Review
Chapters 6 and 7
Th 5-1 Review
Chapters 8 and 9
Final
Exam
4.
GOALS AND OBJECTIVES
A.
Content
Upon
successful completion of the Math 098 class (lab included), the student should be able to:
·
Factor the
greatest common factor from a polynomial
·
Factor by
grouping
·
Factor a
trinomial whose leading coefficient is the number 1
·
Factor a
trinomial whose leading coefficient is other than 1
·
Factor the
difference of two squares
·
Factor a perfect
square trinomial
·
Factor a
polynomial by first factoring out the greatest common factor and then factoring
the polynomial that remains
·
Factor a variety
of polynomials
·
Solve an equation
by writing it in standard form and then factoring
·
Apply the
Blueprint for Problem Solving to applications whose solutions depend on solving
equations by factoring
·
Find the
restrictions on the variable in a rational expression
·
Reduce a rational
expression to lowest terms
·
Work problems
involving ratios
·
Multiply and
divide rational expressions by factoring and then dividing out common factors
·
Convert between units
using unit analysis
·
Add and subtract
rational expressions that have the same denominators
·
Add and subtract
rational expressions that have different denominators
·
Solve equations
that contain rational expressions
·
Solve
applications whose solutions depend on solving an equation containing rational
expressions
·
Simplify a
complex fraction
·
Solve application
problems involving proportions
·
Solve problems
involving direct and inverse variation
·
Find the root of
a number
·
Find the root of
an expression containing a variable
·
Solve an
application problem involving roots
·
Simplify a
radical expression by using the property which states that the square root of a
product is the product of the square roots
·
Simplify a
radical expressions by using the property which states that the square root of
a quotient is the quotient of the square
roots
·
Simplify a
radical expression by using a combination of the properties stated in the
previous two objectives
·
Use both
properties of radicals to write a radical expression in simplified form
·
Rationalize the
denominator in a radical expression that contains only one term in the
denominator
·
Add and subtract
similar radical expressions
·
Multiply radical
expressions
·
Rationalize the
denominator in a radical expression that contains two terms in the denominator
·
Solve equations
that contain radicals
·
Solve a quadratic
equation by taking the square root of both sides of the equation
·
Solve an
application problem involving a quadratic equation
·
Solve a quadratic
equation by completing the square
·
Solve a quadratic
equation by using the quadratic formula
·
Add and subtract
complex numbers
·
Multiply and
divide complex numbers
·
Write square
roots of negative numbers as complex numbers
·
Solve quadratic
equations whose solutions may be complex numbers
4.
GOALS AND OBJECTIVES (cont.)
B.
Transferable skills
At Holy Cross College, we have identified a number of transferable skills which we hope that all of our students will exhibit by the time they graduate. The TRANSFERABLE SKILLS OBJECTIVES* which are incorporated into our class include the following:
I. Creative Thinking
a. The student should be able to generate ideas and synthesize results.
1. Participate in brainstorming activities
2. See connections and patterns
3. Work independently or with others to put ideas into action/form, i.e., synthesize results
a. The student should be able to recognize and use multiple ways of thinking.
1. Utilize inductive and deductive reasoning
2. Perceive accurately; see the overall and the specific; draw from both logic and intuition; compare and contrast; understand cause and effect
a. The student should be able to understand the creative process (planning, experimenting, implementing, and evaluating).
1. Envision an idea/solution to a problem and communicate that vision
2. Design a plan/template/model to express the idea
3. Carry out plans
4. Solicit feedback, evaluate, and revise creative product
II. Critical Thinking
a. The student should be able to analyze, interpret, and appreciate thoughts and works of others.
1. Be familiar with the basic terminology of various disciplines
2. Attempt to be objective in analysis and interpretation
III. Quantitative Reasoning and Levels of Achievement
a. The student should be able to understand and use basic algebraic concepts and applications.
1. Solve problems involving addition, subtraction, multiplication, and division of polynomial expressions
2. Solve and apply algebraic equations and inequalities
3. Use algebraic quantitative skills to help recognize, create, and solve problems related to everyday living
a. The student should be able to recognize the order, logic, precision, and terminology of mathematics.
1. Show evidence of a reflective, deliberate choice to use quantitative information
2. Organize, appropriately use, and clearly communicate quantitative information using appropriate terminology
3. Show a refined sense of effective ways to present quantitative information for a specific audience
a. The student should be able to apply mathematical principles in a variety of situations.
1. Identify quantitative relationships within a context
2. Show awareness of assumptions behind quantitative information
a. The student should be able to understand relations and functions.
1. Interpret, select, and construct graphs and apply measurement concepts
IV. Reading
a. The student should be able to demonstrate proficiency in reading competently in the various disciplines.
1. Gain and understand accurate information and ideas from the written text
V. Technology
a. The student should be able to use various software programs needed for major areas of study relevant to course work.
1. Have a basic understanding of the common terms associated with computer technology
* There are many other transferable skills included in our course which are observed, but not formally assessed.