7a. Prerequisite(s): (Course and/or other preparation/experience that is REQUIRED to be completed previous to enrollment in this course.)

Completion of Math. A or placement by matriculation assessment process

7b. Co-requisite(s):  (Courses and/or other preparation that is REQUIRED to be taken concurrently with this course.)

7c. Advisory: (Minimum preparation RECOMMENDED in order to be successful in this course.  Also known as “Course Advisory”.)

9b. Catalog Description:

Exponents, radicals, complex numbers, factoring, linear and quadratic equations and inequalities; linear, quadratic, exponential and logarithmic functions; graphing, and systems of equations.

10. Student Performance Outcomes: (Outcomes for all credit courses must indicate that students will learn critical thinking and will be able to apply concepts at college level.  Outcomes must be related to items listed in Section 11.)

1. Solve equations and inequalities; including, linear, quadratic, polynomial, rational and absolute value types, and their associated word problems.
2. Graph linear, quadratic, exponential, and logarithmic functions. Perform transformations on the above functions as well as the absolute value, cubic, and square root functions.
3. Find the equation of a line when given sufficient information about the line.
4. Utilize function notation, perform operations on functions, determine if a function is invertible, and find the inverse of functions.
5. Simplify and perform operations on real and complex numbers and algebraic expressions involving polynomials, rational expressions, complex fractions, radicals, exponents, and logarithms.
6. Solve equations of exponential, logarithmic, or radical types, and their associated word problems.
7. Solve linear and nonlinear systems of equations with two variables and word problems associated with such systems.
8. Solve linear systems of equations with three variables and word problems associated with such systems.

11. Course Content Outline: (Provides a comprehensive, sequential outline of the course content, including all major subject matter and the specific body of knowledge covered.)

1 - Review Sets of Numbers, Operations and Properties of Real Numbers
2 - First Degree Equations and Inequalities
2A - Solve Linear Equations and Inequalities, including compound inequalities
2B - Solve Word Problems Involving Linear Equations and Inequalities
2C - Solve Absolute Value Equations and Inequalities
3 – Graphing and Lines
3A - Review the Rectangular Coordinate System
3B - Graph linear equations in the plane
3C – Transform the graphs of basic algebraic equations.
3D - Find the Equation of a Line using point-slope form and slope-intercept form.
4 – Relations and Functions
4A - Define Relations and Functions
4B - Operations on Functions
4C - Inverse Functions
5 - Polynomials
5A – Operations on Polynomials
5B - Factor Polynomials
5C - Solve Polynomial Equations by Factoring
5D – Division of Polynomials
6 - Rational Expressions
6A - Simplify Rational Expressions
6B – Simplify Complex Fractions
6C - Operations on Rational Expressions
6D - Solve Rational Equations
7 - Exponents, Roots and Radicals
7A - Properties of Exponents
7B - Scientific Notation
7C - Operations on Radicals
7D - Solving Radical Equations
7E - Complex Numbers
8 - Quadratic Equations and Inequalities
8A – Factoring
8B – Extracting Square Roots
8C – Completing the Square
8D – Quadratic Formula
8E - Associated Word Problems
8F - Graph Quadratic Functions
8G - Solve Quadratic and Rational Inequalities
9 - Exponential and Logarithmic Expressions and Functions
9A - Properties of Logarithms
9B - Solve Exponential and Logarithmic Equations and Associated Word Problems
9C - Graph Exponential and Logarithmic Functions
10 - Systems of Equations and Inequalities
10A - Solve Systems of Linear and Non-Linear Equations in Two Variables
10B – Solve Systems of Linear Equations in Three Variables
10C - Solve Systems of Linear Inequalities by Graphing

12. Typical Assignments: (List types of assignments, including library assignments.)

a. Reading Assignments: (Submit at least 2 examples)

1. Read how to find the intersection of two lines using algebraic and graphical methods.
2. Read supplementary handouts on topics such as the applications of logarithmic equations and prepare a presentation about equation to the class.

b. Writing, Problem Solving or Performance: (Submit at least 2 examples)

1. Complete homework problems from the textbook on topics throughout the course. Such problems may involve computation, sketching graphs and diagrams, solving equations, applying mathematical concepts, or explaining mathematical ideas.
2. Work in groups to solve application problems in class. For example, using graphing calculators to solve systems of equations that arise from mixture problems using the intersect feature.

c. Other (Terms projects, research papers, portfolios, etc.)

SECTION D

SECTION E

SECTION F

SECTION G