Liberal Arts Mathematics 1

This course designed to help you strengthen your mathematical skills for study beyond Algebra I. The topics include, but are not limited to, linear equations and inequalities, operations with polynomials, data representation and analysis, geometric constructions, symmetry, similarity, systems of linear equations and inequalities, functions, quadratic equations, exponential equations, rational equations, radical equations, and graphing equations and functions.

Major Concepts:

Expressions and Equations

• Interpreting Linear Expressions
• Solving Linear Equations
• Solving Linear Inequalities
• Adding and Subtracting Polynomials
• Multiplying Monomials
• Multiplying Polynomials

Data and Measurement

• Representing Data
• Comparing Data Sets
• Interpreting Differences in Data Sets
• Using the Normal Distribution
• Converting Units
• Using Measurements

Geometry

• Defining Geometric Objects
• Constructing Geometric Objects
• Identifying Symmetry and Transformations
• Proving and Using Similarity
• Rearranging Formulas

Relations and Functions

• Representing Functions
• Using Function Notation
• Identifying Key Features of Linear Functions
• Analyzing Linear Functions
• Analyzing Piecewise Functions

Linear Equations

• Using Different Forms of Linear Equations
• Writing Linear Equations
• Graphing Linear Equations
• Solving Systems of Linear Equations Graphically
• Solving Systems of Linear Equations Algebraically
• Solving Linear Inequalities in Two Variables

Quadratic Functions

• Solving Quadratic Equations
• Interpreting Quadratic Expressions
• Graphing Quadratic Functions
• Analyzing Quadratic Functions

Exponential Functions

• Writing Exponential Functions
• Analyzing Exponential Functions
• Graphing Exponential Functions

Other Types of Equations

• Solving Radical Equations
• Solving Rationals Equations