Course Syllabus for Elementary Algebra

I. COURSE DESCRIPTION:
This course focuses on solutions to linear equations and inequalities, algebraic
applications, operations with polynomials, factoring, graphing linear equations ,
and solving systems of equations. This course does not meet general education
mathematics requirements. This class meets for three lecture and two lab hours
per week. Prerequisite: MTH 091 or acceptable mathematics assessment scores.
This course is usually offered in the fall, spring, and summer.

II. COURSE MATERIALS:
• TEXTBOOK: Woodbury, George (2009) Elementary & Intermediate
Algebra. Boston, MA: A Pearson Education Company.
• MY MATH LAB ACCESS CODE (This is bundled with the text book
if purchased at the bookstore or separately online.)
• CALCULATOR: A graphing calculator is required. The recommended
calculator is the TI 83 plus/TI 84 plus by Texas Instruments. A TI 89
or TI 92 is not permitted.

III. COURSE GOALS:
The overall goal for this course is to develop the algebra skills required for further
academic study. Students will be able to advance to MTH 099-Intermediate
Algebra or MTH 152-Elementary Statistics during their next semester. Note:
(THIS COURSE DOES NOT MEET THE GENERAL EDUCATION
MATHEMATICS REQUIREMENTS).

IV. COURSE OBJECTIVES AND ASSESSMENT GOALS, AND
ASSESSMENT STRATEGIES:

Upon successful completion of the course, students will demonstrate the ability to:

  COURSE
OBJECTIVE
ASSESSMENT GOAL ASSESSMENT
STRATEGIES
1

 
Use properties of real
numbers to perform
basic operations.
Given any set of real numbers,
perform addition, subtraction ,
multiplication and division using
the order of operations .

Given a solution, insert notation
and grouping symbols to obtain the
solution.

Perform calculations with
exponents.

Use the calculator to check
answers.
Class and Math Lab
exercises, test
questions
     
2


 

Simplify algebraic
expressions

 

Distinguish between expressions
and equations.

Given expressions, substitute real
numbers for variables and evaluate.

Given expressions, use the
distributive property to remove
parentheses and combine like terms .
Class and Math Lab
exercises, test
exercises and exam
questions
     
3

 

Solve linear
equations and
inequalities
Solve and check solutions to linear
equations that may contain
fractions , decimals, and
parentheses.

Solve and check equations that may
have all real number solutions or no
solution.

Solve and graph inequalities .

Given a literal formula , solve for
the specified variable.

Check all solutions using the
calculator.
Class exercises, Math
Lab exercises, test
and exam questions.
     
4


 

Translate phrases and
word problems into
algebraic expressions
and equations.
Solve word problems by translating
English phrases into algebraic
expressions.

Solve word problems using
comparison
, money and percent
values.

Use geometric formulas to solve
problems.

Apply the problem solving
procedure for solving problems.
Class and Math Lab
exercises, test
exercises and exam
questions
     
5


 

Graph linear
equations and
inequalities.
 
Given the coordinates, plot points
on the Cartesian coordinate system .

Identify and use vocabulary terms
and notation associated with the
Cartesian coordinate system.

Given the equation, calculate a set
of three ordered pairs.

Distinguish between linear and
nonlinear equations.

Given an equation, find the
intercepts.

Use the calculator to graph lines
and obtain a set of points.

Given an inequality, choose a test
point to evaluate, then graph and
shade the solution set.
Class and Math Lab
exercises, test
questions and exam
questions
     
6


 

Calculate and
interpret slops. 

 

Given two points, find the slope.

Given an equation, find the slope.

Interpret the slope geometrically
and algebraically.

Given equations, find the slopes
and determine if lines are parallel,
perpendicular or neither.
Class and Math Lab
exercises, test
questions and exam
questions
     
7


 

Find the equation of a
line

 

Given a slope and intercept, write
an equation.

Given two points, write an
equation.

Given appropriate data, use the
linear regression function on the
calculator to write and equation.

Class and Math Lab
exercises, test
questions and exam
questions
     
8


 

Use function notation


 

Given coordinates or a graph,
determine if a relation is a function.

Use function notation and
vocabulary to evaluate and graph
curves .

Determine the domain and range.
Class and Math Lab
exercises, test
questions and exam
questions
     
9


 

Solve systems of
equations.

 

Given two equations in two
variables, graph two linear
equations and determine the point
of intersection.

Solve simultaneous equations by
substitution and by elimination.

Check solutions using the
calculator.
Class and Math Lab
exercises, test
questions and exam
questions
     
10


 

Perform operations
with exponents and
polynomials
 
Use the rules of exponents to
perform adding, subtracting,
multiplying and dividing with
exponents.

Raise exponential expressions to
powers
.

Use negative exponents.

Write numbers in scientific
notation; perform operations with
scientific notation.

Interpret scientific notation using
the calculator.

Recognize polynomials, determine
the degree.

Add, subtract, and multiply
polynomials.

Divide polynomials by monomials.

Use FOIL and other methods of
multiplying
special cases.
Class and Math Lab
exercises, test
questions and exam
questions
     
11


 

Factor polynomials.


 

Given any polynomial, determine
the factorization using greatest
common factor, difference of
perfect squares , trinomial or
grouping methods, or by using a
combination of techniques .
Class and Math Lab
exercises, test
questions and exam
questions
     
12

 

Solve equations by
factoring.
 
Given a polynomial, transform an
equation to equal to zero and factor
using various methods.
Lab exercises, test
questions and exam
questions 

V. COURSE CONTENT:
1. Review of real numbers
2. Equations, Inequalities, and Problem Solving
3. Exponents and Polynomials
4. Factoring
5. Graphs and Functions
6. Solving Systems of Linear Equations

VI. LEARNING EXPERIENCES:
In order to meet the course objectives, each student is expected to:
A. Attend class and participate in class discussions, learning
activities and assignments.
B. Complete Math Lab assignments by attending Lab about two
hours per week, if necessary
C. Complete homework assignments
D. Complete tests and quizzes for each unit of study
E. Access the Internet, compose and share the writing assignment
F. Perform satisfactorily on the final exam

VII. GENERAL REQUIREMENTS:
Each student will pursue a program of study that includes classroom lectures, problem
practicing, cooperative learning, textbook and writing assignments using electronic
databases, chapter testing and Math Lab exercises.

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