MTH 100
Intermediate College Algebra
Plan of Instruction
COURSE DESCRIPTION: This course provides a study of algebraic concepts such as
linear equations and inequalities in two variables, quadratic equations, systems of
equations, radical and rational expressions and equations. Functions and relations are
introduced and graphed. This course does not apply toward the general core
requirement for mathematics.
CREDIT HOURS
Theory Credit Hours
Lab Credit Hours
Total Credit Hours
3 hours
0 hours
3 hours
NOTE: Theory credit hours are a 1:1 contact to credit ratio. Colleges may schedule lab hours as 3:1 and/or
2:1 contact to credit ratio. Clinical hours are 3:1 contact to credit ratio. (Ref Board Policy 705.01).
Alabama Community College System
Copyright© 2016
All Rights Reserved
Intermediate College Algebra
MTH 100
PREREQUISITE COURSES
MTH 092 or MTH 098 or appropriate mathematics placement score
CO-REQUISITE COURSES
As determined by college.
COMPETENCIES
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Solve a variety of problems related to graphing and writing equations of lines.
Solve systems of linear equations in two variables using a variety of methods.
Factor polynomials.
Solve or simplify problems related to rational expressions.
Solve or simplify problems related to radical expressions.
Evaluate basic algebraic functions.
Solve quadratic equations.
INSTRUCTIONAL GOALS

Cognitive – Comprehend principles and concepts related to college algebra.

Psychomotor – There are no psychomotor goals associated with this course.

Affective – There are no affective goals associated with this course.
STUDENT OBJECTIVES
Condition Statement: Topics in the modules in this course represent minimal
expectations for students. Unless otherwise indicated, evaluation of student’s
attainment of objectives is based on knowledge gained from this course. The modules
do not have to be taught in the order presented in this outline.
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All Rights Reserved
2
Intermediate College Algebra
MTH 100
STUDENT LEARNING OUTCOMES
Module A - Linear Equations and Inequalities in Two Variables
COMPETENCIES
A1 Solve a variety of problems related to graphing and writing equations of lines.
LEARNING OBJECTIVES
A1.1 Calculate the slope of a line.
A1.2 Determine X and Y intercepts of a line.
A1.3 Identify the slope and equation of horizontal and vertical lines.
A1.4 Determine if two or more lines are parallel, perpendicular, or neither.
A1.5 Write an equation of a line given the slope and a point.
A1.6 Graph a line given the equation.
A1.7 Graph a linear inequality.
MODULE A TOPICS:
 Graphing and writing equations of lines
 Slope intercept forms
 Using intercepts
 Horizontal and vertical lines
 Standard forms
 Parallel and perpendicular
 Point slope
 Linear inequalities in 2 variables
Module B - Systems Of Linear Equations In Two Variables
COMPETENCIES
B1 Solve systems of linear equations in two variables using a variety of methods.
LEARNING OBJECTIVES
B1.1 Solve a system of equations using the graphing method.
B1.2 Solve a system of equations using the substitution method.
B1.3 Solve a system of equations using the elimination method.
B1.4 Solve application problems involving systems of linear equations.
MODULE B TOPICS:
 Graphing
 Substitution
 Elimination
 Applications
ACCS Copyright© 2016
All Rights Reserved
KSA
3
3
3
3
3
3
3
3
KSA
3
KSA
3
3
3
3
3
Intermediate College Algebra
Module C - Factoring Polynomials
COMPETENCIES
C1 Factor polynomials.
LEARNING OBJECTIVES
C1.1 Factor polynomials completely using a variety of methods.
MODULE C TOPICS:
 Comprehensive review of basics
 Greatest common factor
 Grouping
 Difference of squares
 Trinomials with a leading coefficient of 1
 Trinomials
 Trinomials with a leading coefficient other than 1
 Perfect square trinomials
 Sum and difference of cubes
Module D - Rational Expressions
COMPETENCIES
D1 Solve or simplify problems related to rational expressions.
LEARNING OBJECTIVES
D1.1 Identify any restricted value of rational expressions.
D1.2 Simplify rational expressions.
D1.3 Perform arithmetic operations involving rational expressions.
D1.4 Simplify complex fractions.
D1.5 Solve rational equations.
D1.6 Solve applications involving rational equations.
MODULE D TOPICS:
 Restricted values
 Simplify
 Multiply
 Divide
 Add
 Subtract
 Complex fractions
 Equations
 Applications
ACCS Copyright© 2016
All Rights Reserved
MTH 100
KSA
3
3
KSA
3
3
3
3
3
3
3
4
Intermediate College Algebra
Module E - Radical Expressions
COMPETENCIES
E1 Solve or simplify problems related to radical expressions.
LEARNING OBJECTIVES
E1.1 Simplify radical expressions.
E1.2 Perform arithmetic operations involving radical expressions.
E1.3 Solve radical equations.
E1.4 Convert between radical form and rational exponent form.
MODULE E TOPICS:
 Simplify
 Multiply
 Divide
 Add
 Subtract
 Equations
 Rational exponents
Module F - Introduction to Functions
COMPETENCIES
F1 Evaluate basic algebraic functions.
LEARNING OBJECTIVES
F1.1 Define the vocabulary associated with algebraic functions
F1.2 Recognize function notation.
F1.3 Graph linear functions.
F1.4 Determine the domain and range of a given function.
F1.5 Apply the vertical line test to determine if a graph represents a function.
F1.6 Evaluate a function using the order of operations.
MODULE F TOPICS:
 Function notation
 Graphing linear functions
 Domain
 Range
 Vertical line test
 Evaluating functions
ACCS Copyright© 2016
All Rights Reserved
MTH 100
KSA
3
3
3
3
3
KSA
3
1
2
3
3
3
3
5
Intermediate College Algebra
MTH 100
Module G - Solving Quadratic Equations
COMPETENCIES
G1 Solve quadratic equations.
LEARNING OBJECTIVES
G1.1 Solve quadratic equations using factoring.
G1.2 Solve quadratic equations using the quadratic formula.
MODULE G TOPICS:
 Factoring
 Quadratic formula
KSA
3
3
3
LEARNING OUTCOMES TABLE OF SPECIFICATIONS
The table below identifies the percentage of learning objectives for each module. Instructors should
develop sufficient numbers of test items at the appropriate level of evaluation.
1
Moderate
Knowledge
and
Proficiency
2
17%
17%
Limited
Knowledge and
Proficiency
KSA
Module A
Module B
Module C
Module D
Module E
Module F
Module G
ACCS Copyright© 2016
All Rights Reserved
Advanced
Knowledge
and
Proficiency
3
100%
100%
100%
100%
100%
66%
100%
Superior
Knowledge
and
Proficiency
4
6
Intermediate College Algebra
Indicator Key Terms
1
Limited
Knowledge
and
Proficiency
2
Moderate
Knowledge
and
Proficiency
3
Advanced
Knowledge
and
Proficiency
4
Superior
Knowledge
and
Proficiency
A
Affective
Objective
ACCS Copyright© 2016
All Rights Reserved
MTH 100
Learner’s Knowledge, Skills and Abilities
Description
 Recognize basic information about the subject including terms
and nomenclature.
 Students must demonstrate ability to recall information such as
facts, terminology or rules related to information previously
taught.
 Performs simple parts of the competency. Student requires
close supervision when performing the competency.
 Distinguish relationships between general principles and facts.
Adopts prescribed methodologies and concepts.
 Students must demonstrate understanding of multiple facts
and principles and their relationships, and differentiate between
elements of information. Students state ideal sequence for
performing task.
 Performs most parts of the competency with instructor
assistance as appropriate.
 Examines conditions, findings, or other relevant data to select an
appropriate response.
 The ability to determine why and when a particular response is
appropriate and predict anticipated outcomes.
 Students demonstrate their ability to seek additional information
and incorporate new findings into the conclusion and justify their
answers.
 Performs all parts of the competency without instructor
assistance.
 Assessing conditions, findings, data, and relevant theory to
formulate appropriate responses and develop procedures for
situation resolution. Involves higher levels of cognitive
reasoning.
 Requires students to formulate connections between relevant
ideas and observations.
 Students apply judgments to the value of alternatives and select
the most appropriate response.
 Can instruct others how to do the competency.
 Performs competency quickly and accurately.
 Describes learning objectives that emphasize a feeling tone, an
emotion, or a degree of acceptance or rejection.
 Objectives vary from simple attention to selected phenomena to
complex but internally consistent qualities of character and
conscience.
 Expressed as interests, attitudes, appreciations, values, and
emotional sets or biases.
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