MTH 65 - Fundamentals of Algebra II

MTH 60  or designated placement.

Course Description: Includes the study and application of exponents, polynomial operations, factoring polynomial expressions, solving polynomial equations, rational expression operations, and solving rational equations. Course is graded A through F. Course does not transfer. A graphing calculator is required. There is a significant online component in this class.

Course Learning Outcomes:

• CLO#1: Add, subtract, multiply, and divide polynomials and rational expressions.
• CLO#2: Factor polynomials efficiently, using appropriate methods.
• CLO#3: Apply quadratic and rational models to solve real world problems. (ILO: Quantitative literacy & reasoning)
• CLO#4: Apply the rules of exponents in a variety of contexts.
• CLO#5: Use appropriate technology to graph equations, solve problems, and judge the reasonableness of the results.

Polynomials

       Integer exponents and their properties

       Scientific notation

       Combining like terms of polynomials

       Evaluating polynomials and polynomial expressions

       Addition, subtraction, multiplication and division of polynomials

       Special products of polynomials

Factoring

       Factoring by GCF and grouping

       Factoring trinomials

       Factoring perfect square trinomials

       Factoring difference of squares

       Factoring sum and difference of cubes

       Solving quadratic equations by using factoring and zero product rule

       Algebraic and graphical connection between factors, x-intercepts, solutions and zeros

       Applications of polynomial equations (geometry, Pythagorean Theorem, physics)

Rationals

       Rational expressions (undefined values, evaluating expressions)

       Simplifying rational expressions

       Addition, subtraction, multiplication and division of rational expressions

       Solving rational equations (using cross product and LCD, noting restrictions)

Connection between algebra and rational graphs with respect to undefined values, holes and asymptotes

       Applications of rational equations (proportions, similar figures, direct and inverse variation)

 

Typical Required and Recommended Equipment and Materials: Graphing calculator (TI 83, TI-83 Plus, TI-84 Plus, or TI-84 Silver), pencil, paper and graph paper.

ACTI Code and Course Type
351 Post-Secondary Remedial Math

Length of Course:
A required state minimum of (40) and a standard RCC delivery of (44) lecture hours per term, not to exceed (48) hours per term.