MATH 90 Introduction to Algebra with Geometry

5 credits

This course covers basic algebraic concepts and operations that will prepare STEM students for MATH 99. The course emphasizes solving and graphing first degree equations, inequalities, and systems of equations. Additional topics include exponents, polynomials, and function notation. Emphasis is placed on problem solving strategies and order of operations for multi-step equations. Skill development is demonstrated through contextualized word problems and geometric applications.

This course meets the Quantitative Reasoning general education distribution requirement for certificates only.

Prerequisites: MATH 87 or AHSE 66 (or placement into MATH 90)

Course Outcomes
Upon successful completion of this course students will be able to:

Apply mathematical skills in number sense, measurement, data analysis, probability, and algebra to choose appropriate problem-solving strategies for a variety of multi-step math problems, including geometry applications
Simplify algebraic expressions using the rules of exponents and properties of polynomials
Solve linear equations and formulas algebraically for a specified variable
Identify key characteristics of standard geometric figures and linear functions
Create linear equation models and apply those equations to making predictions
Describe linear functions in multiple forms, including tables, graphs, and equations
Solve systems of equations with two variables
Compare and contrast methods to solve and graph equations with methods needed to solve and graph inequalities
Use the mathematical critical thinking skills of problem solving, pattern recognition, substitution, following structural rules, and quantitative modeling to solve problems involving basic algebra

General Education Distribution Area Outcomes
Students who successfully complete courses in the Quantitative Reasoning distribution area will be able to:

Gather, organize, and interpret data using multiple approaches
Develop and use mathematical models to describe and evaluate physical situations
Communicate problem-solving strategies and mathematically justify solutions
Select and utilize appropriate technology to analyze mathematical problems

Total Hours: 50 Theory (Lecture) Hours: 50