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 noncognitive 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: 20252026 Course Type: Developmental Offering designed as a nontransferable prerequisite to collegelevel 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:
 Identify appropriate resources to support the learning objectives in MA 110.
 Identify and apply effective personalized study strategies.
 Recognize and develop a growth mindset toward mathematics.
 Identify appropriate processes to find solutions to multistep or multi component problems.
 Use estimation to evaluate if the outcome to a problem is reasonable.
 Discern relevant and irrelevant information when seeking solutions to problems.
 Connect experimental data to mathematical principals.
 Connect practice to mathematical theories.
 Manipulate algebraic expressions.
 Solve linear equations and inequalities, quadratic, exponential, logarithmic, rational, and radical equations using symbolic and graphical approaches.
 Draw connections between verbal phrases and algebraic notation.
 Perform operations (adding, subtracting, multiplying, and simplifying) involving complex numbers.
 Identify and differentiate between linear, quadratic, polynomial, rational, logarithmic, and exponential functions and equations.
 Interpret the input and output of functions in realworld contexts.
 Solve systems of equations algebraically and graphically.
 Understand sequences as functions whose domain is the set of natural numbers.
 Understand finite series as sums of sequences.
 Identify appropriate problem solving strategies for application problems.
 Interpret symbolic, numeric, and graphical data.
 Create and/or organize data and information into meaningful patterns in order to interpret and draw inferences from it. (CT3)
 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
 Definition of function
 properties of real numbers
 order of operations
 exponent rules
 absolute value
 expressions, equations
 Function notation
 Order of operations
 Manipulate algebraic expressions
 Domain and range
 Set notation
 Interval notation
 Inequalities (linear)
 Graphs
 Cartesian coordinates
 Intercepts
 Composition of functions
 Like terms
 Multiplying polynomials
 Inverse functions
 Solving linear equations
 Solving rational equations
 Radicals
 Solving radical equations
 Factoring (GCF)
 Transformations
 Moving points in Cartesian coordinates
Linear and Quadratic Functions
 Graphs
 Intercepts
 Slope
 Slopeintercept form
 Equations and inequalities
 Factoring
 Quadratic formula
 Square root property
 Regression
 Modeling
 Applications
 Translating between verbal and mathematical expressions
 Obtaining data
Higher Degree Polynomial Functions
 Operations on polynomials
 Rules of exponents
 Graphs
 Equations
 Factoring
 Zeroproduct property
 Real and complex zeros
 Complex numbers (add, subtract, multiply)
 Simplify radicals
 Regression
 Modeling
 Applications
 Translating between verbal and mathematical expressions
 Obtaining data
Radical Functions
 Working with radicals
 Perfect squares
 Simplify radical expressions
 Add/subtract radical expressions
 Multiply/divide radical expressions
 Rational exponents
 Domain restrictions
 Solving inequalities (linear)
 Solving inequalities (quadratic)
 Equations
 Distance between two points
 Pythagorean theorem
 Simplify radical expressions
 Equations of circles
 Graphs
 Modeling
 Applications
 Translating between verbal and mathematical expressions
 Obtaining data
Rational Functions
 Domain restrictions
 Solving polynomial equations (linear, quadratic)
 Graphs
 Algebraic manipulation and simplification
 factoring
 LCD
 Arithmetic with rational numbers
 Adding/subtracting/multiplying/dividing rational expressions
 Equations
 Checking solutions
 Domain
 Modeling
 Applications
 Translating between verbal and mathematical expressions
 Obtaining data
Exponential and Logarithmic Functions
 Definitions and graphs
 Inverse functions
 The number e
 Properties of logarithms
 Equations
 Exponential & logarithmic functions as inverses
 Regression
 Modeling
 Compound interest
 Percentages/base
Matrices and Systems of Equations
 Solving 2 x 2 linear systems
 Arithmetic
 Combining like terms
 Graphing linear equations
 Solving 3 x 3 linear system
 Arithmetic
 Combining like terms
Sequences and Series
 General
 Function notation
 Order of operations
 Arithmetic
 Geometric
NonCognitive 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 CourseSpecific Placement Test: Consent to Enroll in Course: No Department Consent Required Total Lecture Hours Per Week: 2 Are there scheduling coreqs/prereqs 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: 20222023 People Soft Course ID Number: 105097 NonCredit GRCC Agreement exist?: If yes, with which Departments?: Corporate Articulation Agreement exist?: If yes, with which Companies?:
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