High School

Liberal Arts Math / Algebra 2

1.0 Credit

2 segments/36 weeks

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Coursework

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This course will enable students to strengthen algebraic and geometric concepts and skills necessary for further study of mathematics. Learning will take place as students spend time at an amusement park.

Note: content varies depending on the course version. For currently enrolled students, please refer to the syllabus located in the course information area for curriculum specifics.

Competencies

Expressions and Equations

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

Data and Measurement

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.

Geometry

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

Relations and Functions

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

Linear 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.

Quadratic Functions

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

Exponential Functions

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

Radical and Rational Equations

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

Major Topics and Concepts

Segment 1:

Expressions, Operations and the Real Number System
- The Real Number System
- Operations with Integers
- Order of Operations
- Evaluating Expressions and Absolute Value
- Algebraic Properties
- Simplifying Algebraic Expressions
- Translating English Phrases into Algebraic Expressions
Equations and Inequalities
- Solving Equations
- Solving Equations with Variables on Both Sides
- Solving Equations Containing Fractions
- Absolute Value Equations
- Literal Equations
- Word Problems with Equations
- Solving Inequalities
- Solving Combined Inequalities
Graphing Equations and Inequalities
- Relations
- Functions
- Linear Equations
- Slope and Special Lines
- Graphing Linear Equations
- Writing Equations of Lines
- Parallel and Perpendicular Lines
- Graphing Linear Inequalities
Systems
- Solving Systems of Equations by Graphing
- Solving Systems of Inequalities
- Solving Systems by Substitution
- Solving Systems by Addition Methods
- Word Problems with Systems
Polynomials
- Introduction to Polynomials
- Multiplying and Dividing Monomials
- Laws of Exponents
- Multiplying Polynomials
- Dividing Polynomials
- Scientific Notation

Segment 2:

Factoring
- Taking out the Greatest Common Factor
- Factoring Differences of Squares
- Factoring by Grouping
- Factoring Trinomials
- Factoring Polynomials Completely
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations using the Quadratic Formula
Rationals
- Simplifying Rations Expressions
- Operations with Rational Expressions
- Solving Equations containing Rational Expressions
Radicals
- Simplifying Radicals
- Operations with Radicals
- Solving Equations containing Radicals
- Pythagorean Theorem
- Distance and Midpoint Formulas
Introduction to Geometry
- Basic Geometric Figures
- Special Angles
- Parallel Lines and Transversals
- Working with Polygons
Geometric Relationships
- Similar Figures
- Congruence
- Perimeter and Circumference
- Area
- Surface Area
- Volume
Transformation Geometry
- Reflections and Symmetry
- Translations
- Rotations
- Dilations
Probability and Statistics
- Counting Principle
- Permutations
- Combinations
- Basic Probability
- Statistical Values
- Statistical Graphs

Course Materials

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.