MTH 052 Introduction to Algebra and Geometry

Lecture Hours: 3
Credits: 3

Introduces basic algebraic, geometric, and two dimensional graphing techniques and applications. The course is designed primarily for students in specific vocational or technical programs.

Prerequisite: Placement into MTH 052; or equivalent course as determined by instructor; or consent of instructor.
Student Learning Outcomes:

Uses mathematical problem-solving techniques involving linear equations, formulas, measurements and geometric concepts and two-dimensional graphs.
Create mathematical models of abstract and real-world situations using linear equations, formulas, measurements, geometric concepts and two-dimensional graphs.
Use inductive reasoning to develop mathematical conjectures involving linear equations, formulas, measurements, geometric concepts and two-dimensional graphs.
Use deductive reasoning to verify and apply mathematical arguments involving these algebraic and geometric concepts
Make mathematical connections to, and solve problems from, other disciplines involving linear equations, formulas, measurements and geometric concepts and two-dimensional graphs.
Use oral and written skills to individually and collaboratively communicate about linear equations, formulas, measurements, geometric concepts and two-dimensional graphs.
Use appropriate technology to enhance mathematical thinking and understanding, to solve mathematical problems involving linear equations, formulas, measurements and geometric concepts, and wo dimensional graphs, and judge the reasonableness of results.

Content Outline

Fundamentals of Algebra
- Introduction to signed numbers
- Some translation from English to Algebra
- Evaluation of Algebraic expressions and formulas
- Algebraic operations in simplifying expressions
Basic Equation Solving
- Equation solving fundamentals
- Solving literal equations and formulas
- Ratio and proportions
Basic Geometric Properties and Measures
- Measurements and conversion of units
- Basic geometric figures
- Perimeter concepts
- Area Concepts
Graphs of Two Variable Equations
- Introduction to Cartesian coordinate system and plotting points
- Table of values and drawing a graph from a table of values
- Reading information from a graph
- Linear equations
  - X and Y intercepts
  - Use intercepts to draw a graph
  - Rates of change and slope
  - Use a point and slope to draw a graph
- Applications