AHSE 76 HS+ Introduction to Algebra with Geometry

5 credits

This course covers basic algebraic concepts and operations that will prepare students for continued math study. 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.

Prerequisites: AHSE 66 or MATH 87 (or placement into MATH 90 or MATH 98 ) or CASAS Math Assessment score of 226.

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

Total Hours: 50 Theory (Lecture) Hours: 50