High School

Open

Liberal Arts Mathematics/Algebra 2 is a course designed to strengthen mathematical skills for study beyond Algebra 1. The topics include 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, graphing equations, and functions.

**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

Solving Problems with Geometry

Rearranging Formulas

Using Formulas to Solve Problems

**Relations and Functions:**

Representing Functions

Using Function Notation

Identifying Key Features of Linear Functions

Analyzing Linear Functions

Analyzing Piecewise Functions

**Linear Functions:**

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 Rational Equations

Besides engaging students in challenging curriculum, VLACS guides students to reflect on their learning and to evaluate their progress through a variety of assessments. Assessments can be in the form of self-checks, practice lessons, business trip activities, worksheets with multiple choice questions, essay and multiple choice questions on tests and quizzes, oral assessments, and discussions. Instructors evaluate progress and provide interventions through the variety of assessments built into a course, as well as through contact with the student in other venues.

Students will demonstrate an understanding of expressions and equations by solving linear equations and inequalities and evaluating monomials and polynomials.

Students will demonstrate an understanding of data and measurement by creating representations of data, comparing data sets, and solving problems involving conversion of units and measurements.

Students will demonstrate an understanding of geometry by creating geometric shapes, identifying transformations, explaining similarity, and solving problems requiring the use of formulas.

Students will demonstrate an understanding of relations and functions by analyzing representations of functions and creating graphs of linear and piecewise functions.

Students will demonstrate an understanding of linear functions by creating linear equations in standard, slope-intercept, and point-slope forms, graphing linear equations, solving systems of linear equations, and graphing linear inequalities.

Students will demonstrate an understanding of quadratic functions by solving quadratic equations, evaluating quadratic expressions, and graphing quadratic functions.

Students will demonstrate an understanding of exponential functions by evaluating exponential equations and expressions and graphing exponential functions.

Students will demonstrate an understanding of radical and rational equations by solving radical and rational equations.