MATH 99: Intermediate Algebra

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Class Program

Mathematics

Credits

Lecture Hours 5 Clinical Hours None

Weekly Contact Hours

Course ID

091731

Meets Degree Requirements For

Not Intended for Transfer, Typically Numbered Below 100.

Description

Topics include: Factoring polynomials, Solving quadratic, exponential, and logarithmic equations including applications; Evaluating and graphing quadratic, exponential, and logarithmic functions with and without shifts and reflections; Determining and interpreting vertex and x-intercepts of quadratic functions; Simplifying square roots, solving simple radical equations. Successful completion of this course will prepare a student for a non-STEM college-level math course. (MATH&107, MATH 140 MATH& 146, MATH& 171).

Grading Basis

Graded

Recommended Prerequisites

SDS 120 recommended

Prerequisites

MATH 93 or higher with a "C" (2.0) or better, ABE 42 with a "B-" (2.7) or better, or appropriate placement recommendation.

Course Learning Outcomes

Solve equations of the following types: linear, quadratic, square root, exponential and logarithmic.

Program Learning Outcomes

Students will be able to effectively communicate mathematical concepts verbally and symbolically.

Level

Intermediate

Solve application problems involving the following equation types: linear, quadratic, and exponential and logarithmic.

Program Learning Outcomes

Students will be able to apply mathematical concepts to real world situations.

Level

Intermediate

Graph basic functions of the following types: linear, quadratic, absolute value, exponential and logarithmic with and without shifts and reflections.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Intermediate

Understand functions, their inputs and outputs, their domains and ranges, and relationship between a graph of a function and its equation.

Program Learning Outcomes

Students will be able to effectively communicate mathematical concepts verbally and symbolically.

Level

Intermediate

Understand the relationship between exponential and logarithmic functions and use the relationship to solve equations and applications involving exponents and logarithms.

Program Learning Outcomes

Students will be able to apply mathematical concepts to real world situations.

Level

Beginner
Students will be able to effectively communicate mathematical concepts verbally and symbolically.

Level

Beginner

Set up and solve word problems containing direct and indirect variation.

Program Learning Outcomes

Students will be able to apply mathematical concepts to real world situations.

Level

Intermediate

Find the vertex of a quadratic function and understand its significance in applications.

Program Learning Outcomes

Students will be able to apply mathematical concepts to real world situations.

Level

Expert

Use exponent properties through negative exponents to simplify expressions.

Program Learning Outcomes

Students will be able to effectively communicate mathematical concepts verbally and symbolically.

Level

Expert

Factor polynomials: GCF, factor by grouping, trinomials.

Program Learning Outcomes

Students will be able to effectively communicate mathematical concepts verbally and symbolically.

Level

Intermediate

Core Topics

Review: Solving linear equations and formulas
Review: Graphing linear equations
Review: Solving linear systems with two variables by graphing, substitution, and elimination
Exponent properties through negative exponents
Factor polynomials: GCF, factor by grouping, trinomials
Multiply and simplify square roots needed to evaluate the quadratic formula
Solve square root equations with just one radical
Solve quadratic equations with real solutions by factoring, quadratic formula, and square root property
Definition of function, vertical line test
Evaluate and identify domain and range for functions including linear, quadratic, square root, cubic, and absolute value given as graphs and tables
Determine vertex of quadratic functions using vertex formula, and graph shifted quadratic functions in vertex form
Solve basic exponential and logarithmic equations using definition of logarithms
Use exponent property of logarithms to manipulate expressions
Solve application problems involving the following equation types: linear, quadratic, and exponential and logarithmic
Graph quadratic, absolute value, exponential and logarithmic functions with and without shifts and reflections
Set up and solve direct and indirect variation word problems
Optional: Modeling with linear, quadratic, exponential and logarithmic functions
Optional: Composite functions