MA 107 - Intermediate Algebra

Description
MA 107 is designed to increase students’ understanding of algebra. Topics include linear functions and inequalities, variation, polynomials, rational expressions and equations, rational exponents and roots, radical equations, quadratic functions, exponential functions, and an introduction to logarithms.

Credit Hours: 4
Contact Hours: 4

School: School of STEM
Department: Mathematics
Discipline: MA

Major Course Revisions: Corequisite, General Education Review
Last Revision Date Effective: 20230307T11:31:48
Course Review & Revision Year: 2027-2028

Course Type:
General Education- Offering designed to meet the specific criteria for a GRCC Distribution Requirement. The course should be designated by the requirement it fulfills.
Course Format:
Lecture - 1:1

General Education Requirement: Mathematics
General Education Learner Outcomes (GELO):
3. Critical Thinking: Gather and synthesize relevant information, evaluate alternative perspectives, or understand inquiry as a means of creating knowledge, 7. Problem-Solving: Apply theory, calculation, or experimentation to demonstrate effective problem-solving

Course Learning Outcomes:

Adapt and evaluate processes to find solutions to multistep or multicomponent problems. (GELO 3 & GELO 7)
Use calculation and measurement to solve problems, and use estimation to evaluate if the outcome to the problem is reasonable. (GELO 7)
Discern relevant and irrelevant information when seeking the solutions to problems. (GELO 3)
Use experimentation or practice to experience and deepen understanding of scientific and mathematical theories. (GELO 7)
Simplify algebraic expressions.
Solve linear equations and inequalities, quadratic, exponential, logarithmic, rational, and radical equations using symbolic, graphical, and numerical approaches.
Summarize word phrases and mathematical relationships using algebraic and function notation. (GELO 3)
Perform operations (adding, subtracting, multiplying, and simplifying) involving complex numbers.
Identify, explain, and apply linear, quadratic, rational, polynomial, and exponential functions.
Evaluate basic logarithmic expressions and use the definition of logarithms to solve exponential equations.
Solve systems of equations algebraically and graphically.
Incorporate symbolic, numeric, and graphic techniques in solving application problems.
Interpret the input and output of functions in real-world contexts.
Know and use active listening skills.
Develop a plan to implement a solution to a problem or issue. (GELO 7)
Complete work accurately, with attention to detail.

Approved for Online Delivery?: Yes

Course Outline:
I. First Degree Equations, Functions, and Inequalities
A. Function notation, domain, range, and zeros of a function
B. Linear inequalities in one variable
C. Slope and equation of a line
D. Absolute value equations and inequalities
E. Linear systems (2 variables)

II. Polynomials
A. Review of integer exponents
B. Addition, subtraction, and multiplication of polynomials
C. Division of polynomials by monomials and first degree binomials
D. Factoring of polynomials
E. Applications

III. Rational Expressions and Equations
A. Simplifying rational expressions
B. Domains of rational functions
C. Adding, subtracting, multiplying, and dividing rational expressions
D. Rational equations
E. Applications
F. Direct and Inverse Variation

IV. Rational Exponents and Radicals
A. Rational exponents
B. Radicals – simplifying, multiplying, dividing, domain, and range
C. Relationship between rational exponents and radicals
D. Solving basic radical equations (with a single radical)

V. Quadratic Functions
A. Graphing parabolas (vertex form using transformations)
B. Solving quadratic equations
1. Graphical method
2. Factoring method
3. Square root method
4. Quadratic formula
5. Complex number solutions
6. Applications
C. Non-linear systems

VI. Exponential Functions
A. Graphs, domain, and range
B. The number e
C. Models and applications

VII. Logarithms
A. Definition of logarithm
B. Inverse functions
C. Solving basic exponential equations using the definition of logarithm

Mandatory CLO Competency Assessment Measures:
Simplify algebraic expressions.

Name of Industry Recognize Credentials: None

Instructional Strategies:
Lecture: 0-70%

Facilitated discussion: 10-80%

Mediated instruction: 0-100%

Collaborative learning: 10-80%

Technology assisted instruction: 0-20%

Mandatory Course Components:
Final Exam Tests

Academic Program Prerequisite: None
Prerequisites/Other Requirements: MA 98 (C or Higher) or ALEKS score of 30 or Higher.

English Prerequisite(s): None
Math Prerequisite(s): None
Course Corerequisite(s): MA 17 (ALEKS PPL score between 7 and 29 see class section details for pairing with MA107).
Course-Specific Placement Test: None
Course Aligned with IRW: N/A
Consent to Enroll in Course: No Department Consent Required

Total Lecture Hours Per Week: 4
Faculty Credential Requirements:
18 graduate credit hours in discipline being taught (HLC Requirement), Master’s Degree (GRCC general requirement)
Faculty Credential Requirement Details: Equivalent credentials for teaching high school mathematics. Master's degree. Teaching experience at the college level is preferred.

Maximum Course Enrollment: 32
Equivalent Courses: None
Dual Enrollment Allowed?: Yes
Number of Times Course can be taken for credit: 1
Programs Where This Courses is a Requirement:
Architectural Technology, A.A.A.S., Electrical Controls Engineering Technology, A.A.A.S, Electronics Engineering Technology, A.A.A.S, Electronics Engineering Technology Certificate, Heating, Ventilation, and Air Conditioning/Refrigeration Technology, A.A.A.S., Industrial Maintenance Technology, A.A.A.S., Industrial Maintenance Certificate, Plastics-Polymer Engineering Technology, A.A.A.S., Tooling and Manufacturing Technology, A.A.A.S., Tooling and Manufacturing Technology Certificate
Course Fees: $19.00
People Soft Course ID Number: 101069
Course CIP Code: 27.01

High School Articulation Agreements exist?: No
Non-Credit GRCC Agreement exist?: No
If yes, with which Departments?: NA
Corporate Articulation Agreement exist?: No
If yes, with which Companies?: NA