Contact Hours (based on 11 week quarter)

Lecture: 55

Lab: 0

Other: 0

Systems: 0

Clinical: 0

Intent:
Distribution Requirement(s) Status:

Academic
N/A

Equivalencies At Other Institutions

Other Institution Equivalencies Table
Institution
Course #
Remarks
N/A

Learning Outcomes

After completing this course, the student will be able to:

Perform basic operations with polynomials, including
Addition and subtraction of polynomials.
Multiplication of polynomials.
Division of polynomials (long and synthetic division)
Factor polynomials.
Solve polynomial equations by factoring.
Work with quadratic functions by
graphing with the vertex form
graphing with the standard form
determining the vertex and intercepts
Solve a system of linear equations in three variables.
Simplify radical expressions.
Solve quadratic equations using the
Square root method
Completing the square method
Quadratic formula
Work with exponential functions by
Graphing exponential functions
Finding the equation of exponential models.
Demonstrate an understanding of mathematical modeling by
Determining a quadratic model.
Determining an exponential model.
Solve applications relevant to course content.
General Education Learning Values & Outcomes

Revised August 2008 and affects outlines for 2008 year 1 and later.

2. Critical Thinking

Definition:
The ability to think critically about the nature of knowledge within a discipline and about the
ways in which that knowledge is constructed and validated and to be sensitive to the ways these
processes often vary among disciplines.

Outcomes: Students will be able to . . .
2.1 Identify and express concepts, terms, and facts related to a specific discipline.

8. Mathematical Reasoning

Definition:
Understanding and applying concepts of mathematics and logical reasoning in a variety of contexts, both academic and non-academic.

Outcomes: Students will be able to . . .
8.1 Analyze problems to determine what mathematical principles apply.
8.2 Correctly apply logical reasoning and mathematical principles to solve problems.
8.3 Interpret information and reasoning expressed mathematically (for example in spreadsheets,
diagrams, charts, formulas, etc.).
8.4 Communicate mathematical information effectively.

10. Technology

Definition:
Understanding the role of technology in society and using technology appropriately and effectively.

Outcomes: Students will be able to . . .
10.3 Use technology appropriate to the context and task to effectively retrieve
and manage information, solve problems, and facilitate communication.

Course Contents

Polynomials
Addition, Subtraction, and Multiplication
Division (long and synthetic division)
Factoring polynomials
Greatest Common Factor
By grouping
Difference of two squares
Sum and difference of two cubes
Solve polynomial equations by factoring
Exponents
Integer exponents and their properties
Rational exponents and their properties
Mathematical modeling
Determining a quadratic equation
Determining an exponential equation
Solving quadratic equations
Factoring
Square root method
Completing the square
Quadratic formula
Quadratic functions
Graphing using the vertex form
Graphing using the standard form
Determining the vertex and intercepts
Exponential functions
Graphing exponential functions
Finding the equation of an exponential function
Solving systems of equations in three variables