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MATL 097-1
BASIC ALGEBRA I LAB |
Instructor: |
Mrs. Debra Lotsbaich |
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Semester:
SPRING, 2003 |
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Hours:
Minimum of 2 contact hours with 3 hours lecture required on MWF |
Office Hours: |
By appointment only |
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Time: 10:00
a.m.- 10:50 a.m. on Tues. and Thurs. in V-247 |
Office Phone: Home Phone: |
574-239-8373 269-695-6182 |
Text: Required:
Beginning Algebra, Charles P. McKeague,
Fifth Edition, Saunders College Publishing
Optional: Student Solutions Manual
Course Description/ This course is a
two-semester sequence in basic algebra skills.
It
Prerequisites: does not assume previous
instruction in algebra. However,
students are expected to be able to perform basic arithmetic operations (+,-,x,/) on whole numbers, fractions, and decimals. Students who are weak in computation may be
expected to complete extra work and computer tutorials strengthening these
skills. Students who successfully
complete this course (including M-098) will have the skills necessary to
complete Math 101 (Intermediate Algebra) or Math 11 (Discrete Math).
Attendance/ Class attendance is required in BOTH the lectures
AND the labs.
Withdrawal Policy Try
not to miss any class or lab. January 22 is the last day to drop and May 2 is
the last day to withdraw with a grade of WP/WF.
Grading: There are 35 labs at 10 points each.
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 is a score of 0 out of
10. To earn credit for a lab, it must be
turned in BEFORE the test is taken.
Remember, your lab scores will be factored into your Math 97 grade.
Learning Disabilities/
Special Needs 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.
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 last day for class withdrawal with a grade of W
APRIL
18 - APRIL 21 IS EASTER BREAK
MAY 2 is last day for class
withdrawal with a grade of WP/WF
MAY 5 – 8 is exam week
Objectives: Both content objectives and transferable skills objectives for this course are listed after the assignment sheet .
T 1-21 1.3 1.3 Addition
of real numbers
Th 1-23 1.4 1.4 Subtraction of real numbers
T 1-28 1.5 1.5 Properties of real numbers
Th 1-30 1.6 1.6 Multiplication of real numbers
T 2-4 1.7 1.7 Division of real numbers
Th 2-6 1.8
& 1.9 1.8 Subsets of the real numbers -1.9
Addition and
subtraction of fractions
TEST 1 is on MONDAY , FEBRUARY10.
Reminder: All labs
from Chapter 1 must be turned in before the test on Mon. Feb.10.
T 2-11 2.1 2.1 Simplifying expressions
Th 2-13 2.2 2.2 Addition property of equality
T 2-18 2.3 & 2.4 2.3 Multiplication property of equality
2.4 Solving linear equations
Th 2-20 2.5 2.5 Formulas
T 2-25 2.6 2.6 Applications
Th 2-27 2.8 2.8 Linear Equalities
T 3-4 2.9 2.9 Compound Inequalities
Th
3-6 3.1 3.1 Graphing ordered pairs
Test
2 is on Friday, March 7.
Reminder: All labs
(CHAP. 2 AND 3.1) from Chapter 2 must be turned in before the
test on March 7.
Saturday, March 8 through Sunday, March 16 is SPRING
BREAK!!!!!
T 3-18 3.2 & 3.3 3.2 Solutions to linear equations in 2 var.
3.3. Graphing
linear equations in 2 var.
Th 3-20 3.4
& 3.5 3.4 Graphing: using intercepts
3.5 Slope of a line
T 3-25 3.6 3.6 Finding the equation of a line
Th 3-27 3.7 3.7 Linear inequalities in 2 variables
Test 3 is MONDAY, March 31.
Reminder: All labs
from Chapter 3 must be turned in before the test on 3-31.
T 4-1 4.1 4.1 Solving Linear Systems by Graphing
Th 4-3 4.2 4.2 The Elimination
Method
T 4-8 4.3 4.3 The Substitution
Method
Reminder: All labs
from Chapter 4 must be turned in before the test on 4-9.
Th 4-10 5.1 5.1 Multiplication with exponents
T 4-15 5.2 & 5.3 5.2 Division with exponents
5.3
Operations with
monomials
Test 5 (sec 1
&2) is Wednesday , 4-16.
Reminder: The labs from Chapter
5 must be turned in before the test on 4-16.
Th 4-17 5.4 5.4 Addition & subtr of polynomials
Friday, APRIL 18 to Monday. APRIL 21 is Easter Break!!!!
T 4-22 5.5 5.5 Multiplication with polynomials
Th 4-24 5.6 5.6 Binomial squares & special products
T 4-29 5.7 & 5.8 5.7 Dividing a poly by a monomial
5.8 Dividing a polynomial by a poly
Test 5 is Wednesday , 4-30.
Reminder: All labs
from Chapter 5 must be turned in before the test on 4-30.
FINALS WEEK
MAY 5-8
MATH 097--INTRODUCTION TO ALGEBRA
GOALS AND OBJECTIVES
CONTENT
Upon successful completion of the
Math 097 class, the student should be able:
to translate between phrases written
in English and expressions written in symbols
to simplify expressions containing
exponents
to simplify expressions using the rule
for order of operations
to recognize the pattern in a sequence
of numbers
to locate numbers on the number line
to simplify expressions containing
absolute value
to identify the opposite of a number
to identify the reciprocal of a number
to multiply fractions
to find the perimeter and area of
squares, rectangles, and triangles
to add two or more real numbers
to extend an arithmetic sequence
to translate sentences from English
into symbols and then simplify
to subtract two real numbers
to simplify expressions containing
subtraction using the rule for order of operations
to find the complement and supplement of
an angle
to identify and apply the commutative
and associative properties of addition and multiplication
to identify and apply the distributive
property
to identify inverse and identity
elements
to multiply two or more real numbers
to simplify expressions containing
multiplication using the rule for order of operations
to multiply positive and negative
fractions
to apply the distributive property
to extend a geometric sequence
to divide two real numbers
to divide fractions
to simplify expressions containing
division using the rule for order of operations
to associate numbers with the subsets
of the real numbers
to factor whole numbers into their
prime factors
to reduce fractions to lowest terms
to add or subtract two or more
fractions with the same denominator
to find the least common denominator
for a set of fractions
to add or subtract fractions with
different denominators
Upon successful completion of the
Math 097 class, the student should be able:
to simplify expressions by combining
similar terms
to simplify expressions by applying
the distributive property and then combining similar terms
to find the value of an expression for
a given value of the variable
to use the addition property of
equality to solve an equation that does not require simplification
to simplify each side of an equation
and then apply the addition property of equality
to check the solution to an equation
by substitution
to use the multiplication property of
equality to solve an equation that does not require simplification
to simplify each side of an equation
and then apply the multiplication property of equality
to use the addition and multiplication
properties of equality together
to solve an equation
to solve a linear equation in one
variable to find the value of a variable in a formula given replacements for
the other variables
to solve a formula for one of its
variables
to solve simple percent problems
to apply the Blueprint for Problem
Solving to a variety of application problems
to use the addition property for
inequalities
to use the multiplication property for
inequalities
to use both the addition and
multiplication properties to solve an inequality
to graph the solution set for an
inequality
to translate and solve application
problems involving inequalities
to graph compound inequalities
to solve an application problem
involving inequalities
to translate information from a table
into a histogram, scatter diagram, or line graph
to graph ordered pairs on a
rectangular coordinate system
to find solutions to linear equations
in two variables
to graph a linear equation in two
variables
to graph horizontal and vertical lines
to find the intercepts for a line
to use intercepts to graph a line
to find the slope of a line from two
points on the line
to graph a line given the slope and
y-intercept
to find the equation of a line given
the slope and y-intercept of the line
to find the slope and y-intercept of a
line given the equation of the line
to find the equation of a line given a
point on the line and the slope of the line
to find the equation of a line given
two points on the line
to graph linear inequalities in two
variables
Upon successful completion of the
Math 097 class, the student should be able:
to solve a system of linear equations
by graphing the two equations on the same coordinate system
to understand that a system consisting
of parallel lines has no solution and is called an inconsistent system
to understand that a system consisting
of lines that coincide everywhere has an infinite number of solutions and is
called a dependent system
to use the elimination method to solve
a system of linear equations in two variables
to recognize when the elimination
method indicates that the system in question is an inconsistent
system or a dependent system
to use the substitution method to
solve a system of linear equations in two variables
to recognize when the substitution
method indicates that the system in question is an inconsistent
system or a dependent system
to use the definition of integer
exponents to evaluate expressions containing exponents
to use the property for exponents
which states:
- to multiply two expressions with the same base, add
exponents and use the common base
- a power raised to another power is the base raised to the
product of the powers
- the power of a product is the product of the powers
- to divide with the same base, subtract exponents and raise
the base to the exponent that results
- a quotient raised to a power is the quotient of the powers
to simplify expressions using
combinations of the properties of exponents
to find the volume of cubes and
rectangular solids
to write numbers in scientific
notation and expanded form
to apply the definition for negative
exponents
to simplify expressions involving
exponents of 0 and I
to multiply monomials
to divide monomials
to multiply and divide numbers written
in scientific notation
to add and subtract monomials
to add and subtract polynomials
to find the value of a polynomial for
a given value of the variable
to multiply a monomial with a
polynomial
to multiply two binomials
to multiply two polynomials
to find the square of a binomial
to multiply expressions of the form (a+b)(a-b)
to divide a polynomial by a monomial
to divide a polynomial by a polynomial
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 SKILL 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
B.
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
B.
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
IV.
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.