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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

• Linear Equations and Linear Inequalities
Student will demonstrate an understanding of linear equations and linear inequalities by solving linear equations and inequalities in one variable; by creating equations to model real-world problems, and by defining and interpreting each part of a linear equation.
• Monomials & Polynomials
Student will demonstrate an understanding of monomial and polynomial operations by adding and subtracting polynomials in one variable and multiple variables; multiplying monomials with integer coefficients; and multiplying monomials with integer coefficients and exponents.
• Data & Distributions
Student will demonstrate an understanding of data and distributions by representing real-world data with graphs such as dot plots, box plots, and histograms; by comparing shapes, centers, and spreads of distributions using measures such as median, quartile, mean, and standard deviation; by recognizing and interpreting the effect of extreme data points on the shape, center, and spread of data distributions; and by using normal distributions to analyze data sets, employing measures such as mean, standard deviation, z-score.
• Units, Measurement, & Conversions
Student will demonstrate an understanding of units, measurement, and conversion by determining the units, level of precision, accuracy, number of significant digits, and methods appropriate for solving a problem; converting derived units using dimensional analysis; and reporting values based on the limitations of measuring tools or displays.
• Geometry and Symmetry
Student will demonstrate an understanding of geometry and symmetry by defining and constructing shapes using a variety of methods; by interpreting and using definitions of transformations such as rotation, reflection, and translation; by using congruence criteria to prove relationships in geometric figures, and by using properties of shapes to solve geometric measurement and design problems.
• Solving Systems of Linear Equations and Inequalities
Student will demonstrate an understanding of solving systems of linear equations and inequalities by finding solutions of linear systems graphically and algebraically.
• Linear Functions
Students will demonstrate an understanding of linear functions by using linear functions to model real-world problems; using points and slopes to create linear equations and convert linear equations between standard forms; and identifying key features of graphs and algebraic representations of linear functions, such as slope, intercept, domain, and range.