Nov 27, 2021  
GRCC Curriculum Database (2021-2022 Academic Year) 
    
GRCC Curriculum Database (2021-2022 Academic Year)
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MA 010 - Corequisite for College Algebra


Description
This course reviews and develops algebra skills necessary for success in College Algebra.  Topics in College Algebra include graphing data and data analysis; solving equations and inequalities; functions, combinations of functions, polynomial, rational, power, exponential and logarithmic functions; systems of equations, matrices, sequences and series.  MA 010 will scaffold assignments and activities from the linked MA 110 class.  This course will also teach and develop non-cognitive skills necessary for success in the college classroom.
Credit Hours: 2
Contact Hours: 2
School: School of Arts and Sciences
Department: Mathematics
Discipline: MA
Last Revision Date Effective:
Course Review & Revision Year: 2025-2026
Course Type:
Developmental- Offering designed as a non-transferable prerequisite to college-level GRCC courses that does not count for credit toward a certificate or associate degree.
Course Format:
Lecture - 1:1

General Education Requirement:
General Education Outcomes:
NA
ILO Competencies (Critical Thinking Skills):
Create and/or organize data and information into meaningful patterns in order to interpret and draw inferences from it. (CT3)
ILO Competencies (Personal Responsibility Skills):
Complete work accurately, with attention to detail. (PR3)

Course Learning Outcomes/ILO Competencies:
  1. Identify appropriate resources to support the learning objectives in MA 110.
  2. Identify and apply effective personalized study strategies.
  3. Recognize and develop a growth mindset toward mathematics.
  4. Identify appropriate processes to find solutions to multistep or multi component problems.
  5. Use estimation to evaluate if the outcome to a problem is reasonable.
  6. Discern relevant and irrelevant information when seeking solutions to problems.
  7. Connect experimental data to mathematical principals.
  8. Connect practice to mathematical theories.
  9. Manipulate algebraic expressions.
  10. Solve linear equations and inequalities, quadratic, exponential, logarithmic, rational, and radical equations using symbolic and graphical approaches.
  11. Draw connections between verbal phrases and algebraic notation.
  12. Perform operations (adding, subtracting, multiplying, and simplifying) involving complex numbers.
  13. Identify and differentiate between linear, quadratic, polynomial, rational, logarithmic, and exponential functions and equations.
  14. Interpret the input and output of functions in real-world contexts.
  15. Solve systems of equations algebraically and graphically.
  16. Understand sequences as functions whose domain is the set of natural numbers.
  17. Understand finite series as sums of sequences.
  18. Identify appropriate problem solving strategies for application problems.
  19. Interpret symbolic, numeric, and graphical data.
  20. Create and/or organize data and information into meaningful patterns in order to interpret and draw inferences from it. (CT3)
  21. Complete work accurately, with attention to detail. (PR3)

Course Outline:
The course outline is essentially the same as that for College Algebra.  Below is that outline along with algebraic skills with which corequisite students may need additional instruction.

  • Bullet points are developmental topics that are needed

Functions and Graphs

  1. Definition of function
  • properties of real numbers
  • order of operations
  • exponent rules
  • absolute value
  • expressions, equations
  1. Function notation
  • Order of operations
  • Manipulate algebraic expressions
  1. Domain and range
  • Set notation
  • Interval notation
  • Inequalities (linear)
  1. Graphs
  • Cartesian coordinates
  • Intercepts
  1. Composition of functions
  • Like terms
  • Multiplying polynomials
  1. Inverse functions
  • Solving linear equations
  • Solving rational equations
  • Radicals
  • Solving radical equations
  • Factoring (GCF)
  1. Transformations
  • Moving points in Cartesian coordinates

Linear and Quadratic Functions

  1. Graphs
  • Intercepts
  • Slope
  • Slope-intercept form
  1. Equations and inequalities
  • Factoring
  • Quadratic formula
  • Square root property
  1. Regression
  • Plotting points
  1. Modeling
  • Applications
  • Translating between verbal and mathematical expressions
  • Obtaining data

Higher Degree Polynomial Functions

  1. Operations on polynomials
  • Order of operations
  1. Rules of exponents
  • Rules of exponents
  1. Graphs
  • Plotting points
  1. Equations
  • Factoring
  • Zero-product property
  1. Real and complex zeros
  • Complex numbers (add, subtract, multiply)
  • Simplify radicals
  1. Regression
  • Plotting points
  1. Modeling
  • Applications
  • Translating between verbal and mathematical expressions
  • Obtaining data

Radical Functions

  1. Working with radicals
  • Perfect squares
  • Simplify radical expressions
  • Add/subtract radical expressions
  • Multiply/divide radical expressions
  1. Rational exponents
  • Exponent rules
  1. Domain restrictions
  • Solving inequalities (linear)
  • Solving inequalities (quadratic)
  1. Equations
  • Checking solutions
  1. Distance between two points
  • Pythagorean theorem
  • Simplify radical expressions
  1. Equations of circles
  2. Graphs
  • Plotting points
  1. Modeling
  • Applications
  • Translating between verbal and mathematical expressions
  • Obtaining data

Rational Functions

  1. Domain restrictions
  • Solving polynomial equations (linear, quadratic)
  1. Graphs
  • Plotting points
  1. Algebraic manipulation and simplification
  • factoring
  • LCD
  • Arithmetic with rational numbers
  • Adding/subtracting/multiplying/dividing rational expressions
  1. Equations
  • Checking solutions
  • Domain
  1. Modeling
  • Applications
  • Translating between verbal and mathematical expressions
  • Obtaining data

Exponential and Logarithmic Functions

  1. Definitions and graphs
  • Inverse functions
  • The number e
  1. Properties of logarithms
  • Properties of exponents
  1. Equations
  • Exponential & logarithmic functions as inverses
  1. Regression
  • Plotting points
  1. Modeling
  • Compound interest
  • Percentages/base

Matrices and Systems of Equations

  1. Solving 2 x 2 linear systems
  • Arithmetic
  • Combining like terms
  • Graphing linear equations
  1. Solving 3 x 3 linear system
  • Arithmetic
  • Combining like terms

Sequences and Series

  1. General
  • Function notation
  • Order of operations
  1. Arithmetic
  • differences
  1. Geometric
  • ratios

Non-Cognitive Skills

  • Growth Mindset
  • Campus Resources
  • Study strategies
  • Study environment
  • Importance of homework
  • Organization
  • Using tutoring lab

Mandatory CLO Competency Assessment Measures:
None
Name of Industry Recognize Credentials: None
Instructional Strategies:
Lecture:  30 - 70%

Group Work:  0 - 50%

Computer aided instruction:  0 - 50%
 
Mandatory Course Components:
weekly quizzes

attendance & participation

exam reviews


Academic Program Prerequisite:
Prerequisites/Other Requirements: MA 98 (C or Higher) or ALEKS score of 30 or Higher
English Prerequisite(s):
Math Prerequisite(s):
Course Corerequisite(s): MA 110
Course-Specific Placement Test:
Consent to Enroll in Course: No Department Consent Required
Total Lecture Hours Per Week: 2
Are there scheduling co-reqs/pre-reqs for the modules?: Yes
Is this course offered in Modules?:
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.
General Room Request:
Maximum Course Enrollment:
Equivalent Courses: None
Dual Enrollment Allowed?: Yes
Number of Times Course can be taken for credit: 1
First Term Valid: Winter 2022 (1/1/2022)
1st Catalog Year: 2022-2023
People Soft Course ID Number: 105097
Non-Credit GRCC Agreement exist?:
If yes, with which Departments?:
Corporate Articulation Agreement exist?:
If yes, with which Companies?:



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