ABE 091 - ABE Essentials of Intermediate Algebra 5 Credits
An intermediate algebra course that develops understanding of functions (linear, exponential, quadratic) as well as proficiency with simplifying expressions involving integer exponents, solving linear inequalities, and solving linear equations in two variables. GRAPHING CALCULATOR REQUIRED: TI-83 or 84 recommended.
Instructor Permission Required Yes
Designed to Serve High school completion students needing algebraic skills such as graphing formulas, using and analyzing function relationships. Fulfills one credit of Math towards a high school diploma.
Active Date 2014-05-29
Grading System Decimal Grade
Class Limit 32
Contact Hours: Lecture 55 Lab 0 Worksite 0 Clinical 0 Other 0
Total Contact Hours 55
* Solving linear equations in one variable having many terms, fractional coefficients, and distributing
* Solving linear inequalities in one variable, and expressing results with graphs and interval notation
* Concept and notation of functions, domain, and range, including exposure to absolute value and piecewise functions
* Features of functions (max/min, increasing/decreasing, positive/negative, intercepts, rates of change), including using compound inequalities and interval notation to describe them
* Linear functions (concept, intercepts, slope, slope-intercept form, constructing from pairs of points, linear regression)
* Solving systems of equations in two variables by graphical estimation and the elimination method
* Exponential functions (concept, intercepts, asymptotes)
* Simplifying expressions involving integer exponents
* Division of polynomials by monomials.
* Quadratic functions (concept, constructing graphs using intercepts, vertex, and concavity, finding intercepts using the quadratic formula)
* The Pythagorean Theorem and distance formulas, including estimating and computing roots of numbers
* Emphasis on applying concepts and skills learned to situations in everyday life and other college coursework
* Emphasis on developing quantitative reasoning ability and symbolic reasoning ability
* Training in use of graphing calculator throughout course to evaluate, graph, trace, zoom, change window, and perform regression
Student Learning Outcomes
Complete a variety of algebraic tasks, including calculating with radicals, simplifying exponential expressions, and solving linear equations, inequalities, and systems of linear equations.
Define the concepts of function, domain, and range, then compute and describe features of several function types.
Define and identify slope, intercepts, and slope-intercept form, then use them to describe and construct linear equations and graphs for realistic situations.
Define and describe the features of exponential functions, then apply them to realistic situations.
Define quadratic functions, then compute features of their graphs and solve quadratic equations.
Describe her/his level of understanding before a formal assessment as well as steps she/he will take to improve.
Describe and consistently apply an effective strategy for solving problems.
Use formal terminology to describe his/her reasoning on a task as well as patterns in his/her errors.
Demonstrate mastery of essential concepts and procedures related to functions and lines on a timed exam to be eligible for passing the course.
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