FLORIDA STATE COLLEGE AT JACKSONVILLE COLLEGE

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FLORIDA STATE COLLEGE AT JACKSONVILLE
COLLEGE CREDIT COURSE OUTLINE
COURSE NUMBER:
MAT 1033
COURSE TITLE:
Intermediate Algebra
PREREQUISITE(S):
MAT 0028 with a grade of “C” or better or a satisfactory
score on the placement test (for non-exempt students only,
per Senate Bill 1720/State Board Rule 6A-10.0315).
COREQUISITE(S):
None
STUDENT ADVISING NOTE:
Effective Spring 2014, students who entered the ninth
grade in a Florida public high school in the 2003-2004
school year, or any year thereafter, and earned a standard
Florida high school diploma, or students who are serving
as active duty members in any branch of the United States
Armed Services, will not be required to take the common
placement test (P.E.R.T.) or to enroll in developmental
education at any Florida College System institution,
including Florida State College at Jacksonville (per State
Board Rule 6A-10.0315). These students shall be
considered exempt from common placement testing and
developmental education instruction, and may accordingly
enroll directly in MAT 1033 or MGF 1106/1107, depending
on their program of study requirement. For placement in
any math course beyond MAT 1033, exempt students will
be required to take the common placement test.
CREDIT HOURS:
4
CONTACT HOURS/WEEK:
4
CONTACT HOUR BREAKDOWN:
Lecture/Discussion/Laboratory:
4
FACULTY WORKLOAD POINTS:
4
STANDARDIZED CLASS SIZE
ALLOCATION:
22
CATALOG COURSE DESCRIPTION:
The major topics include sets, linear equations and inequalities with applications, absolute value, polynomials
and factoring, rational expressions with applications, exponents, roots and radicals, quadratic equations with
applications, relations and functions, graphs and systems of linear equations and inequalities. This course is
an elective and will not apply towards the A.A. or A.S. mathematics General Education requirements. This
course will count as an A.A. elective in both A.A. and A.S. requirements. (CBE)
SUGGESTED TEXT(S):
Intermediate Algebra, Lial Addison-Wesley, Current Edition
Intermediate Algebra w/HM3 CDROM Smart Thinking
1
Password Web, Aufmann Houghton-Mifflin, Current
Edition,
Intermediate Algebra, Martin-Gay Pearson Education
(Prentice-Hall), Current Edition
Intermediate Algebra, A Graphing Approach, MartinGay/Greene, Pearson Prentice Hall.
Interactive Math – Intermediate Algebra, Martin-Gaye,
Current Ed. Pearson Education (Prentice-Hall)
Intermediate Algebra, Johnston Thomson Learning,
Current Edition
Intermediate Algebra, (Alternate) Lial Addison-Wesley,
Current Edition
Intermediate Algebra for College Students, Angel, Current
Edition Pearson Education (Prentice Hall)
Intermediate Algebra, Aufmann Houghton-Mifflin, Current
Edition
Intermediate Algebra for College Students, Angel, Current
Edition
Intermediate Algebra w/Applications, Wesner, Bernard J.
Klein Publishing, Current Edition
Intermediate Algebra, Edward Burger Thinkwell, Current
Edition
ELECTRONIC RESOURCES:
MyMathLab, Pearson Publishing, ALEKS/Math Zone,
Mcgraw Hill, MathXL, MyLabsPlus, Cengage, Hawkes
IMPLEMENTATION DATE:
Winter Term, 1967 (672) (was MS 00103)
REVIEW OR MODIFICATION DATE:
Fall Term, 1998 (991)
Fall Term, 2002 (20031)
Spring Term, 2005 (20052)
Fall Term, 2005 (20061)
Fall Term 2008 (20091) - Outline Review 2007
Fall Term, 2011 – ASE Change sent to
Fall Term, 2014 (20151) – Proposal 2014-20
Fall Term, 2015 (20161) – Outline Review 14-15
2
COURSE TOPICS
I. Sets
A. Sets, Notations, Symbolism,
B. Subsets of the Real Numbers
C. Review of Operations with Real Numbers (Optional)
II. Linear Equations and Inequalities
A. Linear Equations, One Variable
B. Formulas and Literal Equations
C. Solve linear and compound inequalities
D. Equations Involving Absolute Value
E. Applications
CONTACT HOURS
PER TOPIC
1
9
III. Exponents, Polynomials and Factoring
A. Rules of Exponents
B. Scientific Notation
C. Fundamental Operations on Polynomials
D. Factoring
7
IV. Algebraic Fractions
A. Fundamental Operations
B. Equations with Algebraic Fractions
C. Applications
7
V. Roots and Radicals
A. Rational Exponents
B. Roots and Radicals
1. Simplification
2. Operations on Radicals
3. Equations Containing Radicals
C. Complex Numbers
1. Simplification
2. Operations on Complex Numbers
8
VI. Quadratic Equations
A. Solving Quadratic Equations
1. Factoring
2. Root Extraction
3. Completing the Square
4. Quadratic Formula
11
3
COURSE TOPICS
CONTACT HOURS
PER TOPIC
B. Complex Numbers as Solutions to Quadratic Equations
C. Applications
1. Problems Involving Pythagorean Theorem
2. Other Applications
VII. Relations and Functions
A. Basic Concepts
B. Functional Notation
C. Domain and Range
D. Evaluate Functions
5
VIII. Graphs
8
A. The Rectangular Coordinate System
B. Linear Equations
1. Graphs of Linear Equations
i. By plotting points
ii. Plotting intercepts
iii. Using slope and y-intercept
2. Slope
i. Slope as a rate of change
ii. Applications of slope to real world problems
3. Perpendicular and Parallel Lines
4. Equations of the Line
C. Linear Inequalities
D. Introduction to Non-Linear Equations
1. Plot non-linear graphs including basic exponential functions, absolute value functions, and
quadratic functions
E. Domain and Range
IX. Systems of Linear Equations and Inequalities
A. In Two Variables
B. Applications
4
*COURSE TOPICS NEED NOT BE PRESENTED IN THE INDICATED SEQUENCE.
4
Florida State College at Jacksonville
Course Learning Outcomes and Assessment
SECTION 1
Semester Credit Hours (Credit):
Contact Hours (Workforce):
Course Prefix and Number:
MAT 1033
Course Title:
Intermediate Algebra
4
SECTION 2a (To be completed for General Education courses only.)
TYPE OF COURSE (Place an “X” in the box next to those that are applicable.)
General Education Core (If selected, core discipline area will be identified in Section 4.)
General Education (If selected, you must also complete Section 4, Section 5, and Section 8)
SECTION 2b
TYPE OF COURSE (Place an “X” in the box next to those that are applicable.)
X A.A. Elective
A.S. Required Course
A.S. Professional Elective
A.A.S. Required Course
A.A.S. Professional Elective
Technical Certificate
PSAV/Clock Hour/Workforce
Development Education
Apprenticeship
Upper Division/Bachelors
Other:
If selected, use this space to title “other” option.
SECTION 3
INTELLECTUAL COMPETENCIES (Place an “X” in the box next to those that are applicable.)
X
Reading
X
Speaking
X
Writing
X
Listening
X
Critical Analysis
X
Information
Literacy
Qualitative Skills
Ethical Judgement
X
Scientific Method of
Inquiry
Working
Collaboratively
SECTION 4 (To be completed for General Education courses only.)
GENERAL EDUCATION DISCIPLINE AREA (Place an “X” in the box next to those that are applicable.)
Communications
Humanities
Mathematics
Social and Behavioral Sciences
Natural Sciences
SECTION 5 (To be completed for General Education courses only.)
GENERAL EDUCATION LEARNING OUTCOME AREA (Place an “X” in the box next to those that are applicable.)
Communication
Critical Thinking
Information Literacy
Scientific and Quantitative Reasoning
Global Sociocultural Responsibility
SECTION 6
LEARNING OUTCOMES
TYPE OF OUTCOME
(General Education,
Course or Program)
Define the sets of real numbers, as well as
use proper set notation
Course
Evaluate formulas used in other disciplines
such as science, business, statistics,
geometry and other applied areas involving
routine operations with real numbers.
Course
METHOD OF ASSESSMENT
Students will define the various sets of
numbers (natural, whole, integers, rational,
irrational, and real), as well as use proper set
notation through tests or quizzes, instructor
observation, assigned homework, class
assignments or discussion, cooperative
learning or computer activities.
Students will demonstrate their ability to
evaluate formulas through tests and/or
quizzes, instructor observation, assigned
homework, class assignments and/or
discussion, cooperative learning and/or
computer activities.
5
SECTION 6 (Continued)
LEARNING OUTCOMES
TYPE OF OUTCOME
(General Education,
Course or Program)
Solve linear equations, including equations
containing fractions.
Course
Solve literal equations and formulas for given
variables, including those with fractions.
Course
Solve linear and compound linear inequalities,
including those with fractions.
Course
Solve absolute value equations and represent
the solutions using set notation.
Course
Translate real-world problems into
mathematical equations or inequalities and
then solve the problem.
Course
Simplify algebraic expressions using the rules
of exponents.
Course
Multiply and divide algebraic expressions
using scientific notation.
Course
Simplify expressions containing polynomials
including adding, subtracting, multiplying and
dividing polynomials (long division onlysynthetic division is optional).
Course
METHOD OF ASSESSMENT
Students will demonstrate their ability to solve
linear equations through tests and/or quizzes,
instructor observation, assigned homework,
class assignments and/or discussion,
cooperative learning and/or computer
activities.
Students will demonstrate their ability to solve
literal equations and formulas for given
variables through tests and/or quizzes,
instructor observation, assigned homework,
class assignments and/or discussion,
cooperative learning and/or computer
activities.
Students will demonstrate their ability to solve
linear and compound linear inequalities,
including those with fractions, through tests
and/or quizzes, instructor observation,
assigned homework, class assignments
and/or discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to solve
absolute value equations through tests and/or
quizzes, instructor observation, assigned
homework, class assignments and/or
discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to
translate real-world problems using
mathematical equations or inequalities
through tests and/or quizzes, instructor
observation, assigned homework, class
assignments and/or discussion, cooperative
learning and/or computer activities.
Students will demonstrate their ability to
simplify exponential expressions using the
rules of exponents through tests and/or
quizzes, instructor observation, assigned
homework, class assignments and/or
discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to
perform operations (multiply and divide) on
algebraic expressions using scientific notation
through tests and/or quizzes, instructor
observation, assigned homework, class
assignments and/or discussion, cooperative
learning and/or computer activities.
Students will demonstrate their ability to add,
subtract, multiply and divide polynomials
(using long division) through tests and/or
quizzes, instructor observation, assigned
homework, class assignments and/or
discussion, cooperative learning and/or
computer activities.
6
SECTION 6 (Continued)
LEARNING OUTCOMES
TYPE OF OUTCOME
(General Education,
Course or Program)
Factor polynomials, including the use of the
sum and difference of cubes formula.
Course
Simplify rational expressions, including
adding, subtracting, multiplying and dividing
them.
Course
Solve rational equations.
Course
Represent radicals using rational exponents
as well as the radical symbol.
Course
Perform basic operations on radicals and
simplify radical expressions, including cube
roots.
Course
Solve equations involving one or more
radicals.
Course
Simplify complex numbers of the form -a
where a>0.
Course
Perform arithmetic operations using complex
numbers.
Course
METHOD OF ASSESSMENT
Students will demonstrate their ability to factor
polynomials using various factoring methods,
including the sum and difference of cubes
formula, through tests and/or quizzes,
instructor observation, assigned homework,
class assignments and/or discussion,
cooperative learning and/or computer
activities.
Students will demonstrate their ability to
simplify rational expressions using various
operations through tests and/or quizzes,
instructor observation, assigned homework,
class assignments and/or discussion,
cooperative learning and/or computer
activities.
Students will demonstrate their ability to solve
rational equations through tests and/or
quizzes, instructor observation, assigned
homework, class assignments and/or
discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to
represent radicals using rational exponents
through tests and/or quizzes, instructor
observation, assigned homework, class
assignments and/or discussion, cooperative
learning and/or computer activities.
Students will demonstrate their ability to
perform basic operations (add, subtract,
multiply, and divide) on radicals, including
cube roots, through tests and/or quizzes,
instructor observation, assigned homework,
class assignments and/or discussion,
cooperative learning and/or computer
activities.
Students will demonstrate their ability to solve
equations using one or more radicals through
tests and/or quizzes, instructor observation,
assigned homework, class assignments
and/or discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to
simplify complex numbers through tests
and/or quizzes, instructor observation,
assigned homework, class assignments
and/or discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to
perform operations (add, subtract, multiply
and divide) complex numbers through tests
and/or quizzes, instructor observation,
assigned homework, class assignments
and/or discussion, cooperative learning and/or
computer activities.
7
SECTION 6 (Continued)
LEARNING OUTCOMES
TYPE OF OUTCOME
(General Education,
Course or Program)
Solve quadratic equations over the complex
number system by factoring, square-root
property, completing the square and quadratic
formula.
Course
Solve application problems (such as
Pythagorean Theorem) that involve the use of
quadratic equations.
Course
Identify a function from a graph or set of
ordered pairs
Course
Evaluate functions.
Course
Identify the domain and range of a function.
Course
Construct graphs of linear equations and
functions by plotting points.
Course
Interpret the slope of a line in several ways:
rate of change, measure of steepness of a
line and apply the concept of slope to various
real-world applications.
Course
Determine equations of lines (in both slopeintercept and standard form) when given two
points, a graph, or a point and the slope of the
line passing through the point.
Course
METHOD OF ASSESSMENT
Students will demonstrate their ability to solve
quadratic equations through tests and/or
quizzes, instructor observation, assigned
homework, class assignments and/or
discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to apply
the strategies used for solving quadratic
equations to application problems through
tests and/or quizzes, instructor observation,
assigned homework, class assignments
and/or discussion, cooperative learning and/or
computer activities.
Students will identify functions from graphs
and/or sets of ordered pairs through tests
and/or quizzes, instructor observation,
assigned homework, class assignments
and/or discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to
evaluate functions through tests and/or
quizzes, instructor observation, assigned
homework, class assignments and/or
discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to
identify domain and range when given a set of
ordered pairs or a graph through tests and/or
quizzes, instructor observation, assigned
homework, class assignments and/or
discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to graph
linear equations and functions through tests
and/or quizzes, instructor observation,
assigned homework, class assignments
and/or discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to
interpret the slope of a line in several ways
through tests and/or quizzes, instructor
observation, assigned homework, class
assignments and/or discussion, cooperative
learning and/or computer activities.
Students will demonstrate their ability to write
equations of lines (in slope-intercept form and
standard form) when given a graph, slope,
and/or points on a line through tests and/or
quizzes, instructor observation, assigned
homework, class assignments and/or
discussion, cooperative learning and/or
computer activities.
8
SECTION 6 (Continued)
LEARNING OUTCOMES
TYPE OF OUTCOME
(General Education,
Course or Program)
Construct graphs of linear inequalities using
the rectangular coordinate system (one and
two variable).
Course
Construct graphs of nonlinear functions such
as quadratic, absolute value and exponential
functions, by plotting points.
Course
Solve systems of linear equations and
inequalities and be able to use these tools in
the solution of practical problems.
Course
METHOD OF ASSESSMENT
Students will demonstrate their ability to graph
linear inequalities through tests and/or
quizzes, instructor observation, assigned
homework, class assignments and/or
discussion, cooperative learning and/or
computer activities.
Students will demonstrate their ability to graph
basic functions (f(x)= |x|, f(x)= x2 , f(x)= ax )
through tests and/or quizzes, instructor
observation, assigned homework, class
assignments and/or discussion, cooperative
learning and/or computer activities.
Students will demonstrate their ability to solve
linear equations and inequalities through tests
and/or quizzes, instructor observation,
assigned homework, class assignments
and/or discussion, cooperative learning and/or
computer activities.
SECTION 7
Faculty name(s):
Jerry Shawver, Amanda Sartor, Judy Holcomb, William Meisel, and
Jamie Stewart
Date:
1/28/2013
CS20150615
9
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