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### Estimated Completion Time

2 segments/36 weeks

### Overview

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.

### Course Requirements

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.

### 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
• Rationals
• Simplifying Rations Expressions
• Operations with Rational Expressions
• Solving Equations containing Rational Expressions
• 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

### 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.