MTH 60 - Fundamentals of Algebra I

MTH 20  or designated placement.

Course Description: Introduces the study and application of the real numbers, operations with real numbers, exponents, order of operations, mathematical modeling, solving linear equations, methods of problem solving, rates, slope, graphs of lines, equations of lines, and systems of linear equations. Working with real data, formulas, and applications will be stressed. Course is graded on a pass/no pass basis. Course does not transfer. A scientific calculator is required. There is a significant online component in this class.

Course Learning Outcomes:

• CLO#1: Apply the powerful concept of a variable in linear relationships (patterns) in the form of tables, graphs, equations and verbal descriptions; and be able to move comfortably between each form. (ILO: Quantitative literacy & reasoning)
• CLO#2: Investigate, model, and solve real world algebra problems that require an understanding of linear relationships.
• CLO#3: Use appropriate technology to solve linear problems and applications and judge the reasonableness of their results.

Variables, Real Numbers, and Mathematical Models

Variables and mathematical models

Basic properties of algebra (commutative, associate and distributive)

Add, subtract, multiply and divide real numbers (rational numbers and integers)

Exponents and order of operations

Geometry (perimeter, area and volume formulas)

Measurement/unit analysis

Linear Equations in One Variable

The Addition and Multiplication Properties of Equality

Solving linear equations

Formulas and percentages

Modeling and problem solving with linear equations

Problem solving in geometry

Solving inequalities

Linear Equations in Two Variables

Graphing linear equations

Finding slope and x/y intercepts and interpreting their meaning in context

The slope-intercept form of the equation of a line

Moving between linear relationships represented as graphs, ordered pairs or equations

Modeling and problem solving with linear equations

Systems of Linear Equations

Solving systems of linear equations by graphing

Solving systems of linear equations by the substitution method

Solving systems of linear equations by the addition method

Modeling and problem solving with systems of equations

 

Typical Required and Recommended Equipment and Materials: Scientific calculator, pencil, paper, and graph paper.

ACTI Code and Course Type
351 Post-Secondary Remedial Math

Length of Course:
A required state minimum of (40) and a standard RCC delivery of (44) lecture hours per term, not to exceed (48) hours per term.