Course Outline for DMA 040
EXPRESSIONS, LINEAR EQUATIONS, LINEAR INEQUALITIES
I.
CATALOG DESCRIPTION:
DMA 040 – Expressions, Linear Equations, Linear Inequalities - 1 credit (5 contact hours per week for four
weeks)
This course provides a conceptual study of the problems involving linear expressions, equations, and
inequalities. Emphasis is placed on solving contextual application problems. Upon completion, students
should be able to distinguish between simplifying expressions and solving equations and apply this
knowledge to problems involving linear expressions, equations and inequalities.
II.
PREREQUISITE: DMA 010, DMA 020 and DMA 030; or MAT 060
III.
COREQUISITE: None
IV.
EXPECTED STUDENT LEARNING OUTCOMES:
Upon completion of the course, students should be able to:
A.
B.
C.
D.
E.
F.
V.
Demonstrate the use of a problem solving strategy to include multiple representations of the
situation, organization of the information, and algebraic representation of linear equations or
inequalities.
Represent verbal statements as algebraic expressions, equations, and inequalities.
Distinguish between problem events that use expressions, equations, or inequalities.
Solve linear equations and inequalities in one variable using algebraic properties of equality.
Demonstrate an understanding of the meaning of solutions to problems, i.e. identity, contradiction,
conditional.
Represent solutions of inequalities on a number line.
METHODS OF INSTRUCTION:
A.
Video lectures in basic concepts and skills
B.
Read text
C.
Class and group discussion of topics
D.
Skill-building computer exercises
VI.
CONTENT:
A.
Introduction to Algebra: evaluate algebraic expressions by substitution.
B.
Solving Linear Equations: determine whether a given number is a solution of a given equation,
solve equations using the addition principle, solve equations using the multiplication principle, solve
equations using both the addition principle and the multiplication principle, solve equations in which
like terms may need to be collected, solve equations by first removing parentheses and collecting
like terms, solve equations with an infinite number of solutions and equations with no solutions.
C.
Translating Verbal Statements into Algebra with Applications: translate phrases to algebraic
expressions, solve applied problems by translating to equations, translate number sentences to
inequalities, solve applied problems using inequalities.
D.
Solving and Graphing Inequalities: determine whether a given number is a solution of an
inequality, graph an inequality on the number line, solve inequalities using the addition principle,
solve inequalities using the multiplication principle, solve inequalities using the addition principle
and the multiplication principle together, write interval notation for the solution set or the graph of
an inequality, solve an inequality using the addition principle and the multiplication principle and
then graph the inequality, solve applied problems by translating to inequalities, find the intersection
of two sets, solve and graph conjunctions of inequalities, find the union of two sets, solve and
graph the disjunctions of inequalities, solve applied problems involving conjunctions and
disjunctions of inequalities.
VII.
TYPICAL ASSIGNMENTS:
A.
In class participation
B.
Online or textbook homework
C.
Mid-module quizzes
D.
Online Post-module tests
VIII.
EVALUATION:
A.
Methods of Evaluation
1.
Students are evaluated online using homework, a mid-module quiz, and a module posttest.
B.
Frequency of Evaluation
1.
Each module will have several homework assignments, a mid-module quiz, and a module
post-test.
IX.
TYPICAL TEXT:
Bittinger and Beecher, Mathematical Skills for Mastery. 1st Edition. Pearson, Addison Wesley Publishing.
X.
OTHER SUPPLIES REQUIRED OF STUDENTS:
A scientific calculator and a MyLabsPlus student access code are additional requirements for students. It
is highly recommended that students in all sections of the course have internet access.
Creation date: July 2, 2012
Modified by: Caroline Greenough; April 18, 2016