# Algebra I (Semester I)

## Course Description:

The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics, with an emphasis on real-world applications throughout this year-long algebra course. The first semester of the course includes an introduction to real numbers and variable expressions, methods for solving equations, understanding functions and relations, and an in-depth study of linear and quadratic functions. The second semester of the course provides students with extensive instruction in topics including systems of equations and inequalities, exponential and radical functions, rational expressions and equations, as well as probability and statistics. Throughout the course are self-check quizzes, audio tutorials, interactive manipulatives, practice games, and plenty of review activities.

## Course Details:

Course Title (District): Algebra I (Semester I)
Course Title (NCES SCED) : Algebra I
Course Provider : Genesee ISD
Content Provided By : Fuel Education LLC (formerly Aventa Learning)
Online Instructor Provided By : Fuel Education LLC (formerly Aventa Learning)
Academic Terms : Open Entry / Open Exit
NCES SCED Code :
 Subject Area : Mathematics Course Identifier : Algebra I Course Level : (G) General or Regular Available Credit : 0.5 Sequence : 1 of 2

## How To Enroll:

Enrollment Website : https://www.gennet.us [email protected] 810-591-4401

Students and Parents: It is important to work closely with your local school counselor or registrar to follow the school's enrollment procedures. By clicking the "Start Registration Request" button below, you will be able to notify the school of your interest in registering for the online course. However, it is the responsibility of the district or school to review the registration request and approve or deny the request. Please make a note to follow up with your school after submitting a registration request.

Describe how mathematical properties are used to simplify numeric and variable expressions
• Solve one- and multi-step equations
• Solve equations involving absolute values
• Analyze relations and functions represented in a variety of forms
• Interpret functions based on real world situations
• Write and solve linear equations
• Graph lines written in different forms
• Define properties of polynomials and quadratic functions
• Demonstrate methods for factoring polynomials
• Solve systems of linear equations by graphing and algebraically
• Graph systems of linear inequalities and interpret the solution set
• Simplify expressions with exponents, including scientific notation
• Graph and analyze exponential and radical functions
• Solve exponential and radical equations
• Simplify rational expressions
• Write and solve rational equations
• Calculate theoretical probability
• Use statistical methods for analyzing and organizing data
• Solve problems involving ratios, rates, and unit conversion

INACOL Online Course Quality Standards

Instructional Strategies and Activities Rating Comments
The course and course instructor provide students with multiple learning paths, based on student needs that engage students in a variety of ways. Partially Met
The course provides opportunities for students to engage in higher-order thinking, critical reasoning activities and thinking in increasingly complex ways. Partially Met
The course provides options for the instructor to adapt learning activities to accommodate students’ needs. Partially Met
Readability levels, written language assignments and mathematical requirements are appropriate for the course content and grade-level expectations. Fully Met
The course instruction includes activities that engage students in active learning. Partially Met
The course design provides opportunities for appropriate instructor-student interaction, including opportunities for timely and frequent feedback about student progress. Partially Met
The course design includes explicit communication/activities (both before and during the first week of the course) that confirms whether students are engaged and are progressing through the course. The instructor will follow program guidelines to address non-responsive students. Fully Met
The course provides opportunities for appropriate instructor-student and student-student interaction to foster mastery and application of the material. Fully Met
Students have access to resources that enrich the course content. Partially Met
Instructional and Audience Analysis Rating Comments
Course design reflects a clear understanding of all students’ needs and incorporates varied ways to learn and master the curriculum. Partially Met
Course, Unit and Lesson Design Rating Comments
The course is organized by units and lessons that fall into a logical sequence. Each unit and lesson includes an overview describing objectives, activities, assignments, assessments, and resources to provide multiple learning opportunities for students to master the content. Fully Met
Student evaluation strategies are consistent with course goals and objectives, are representative of the scope of the course and are clearly stated. Fully Met
The course structure includes adequate and appropriate methods and procedures to assess students’ mastery of content. Fully Met
Ongoing, varied, and frequent assessments are conducted throughout the course to inform instruction. Fully Met
Assessment strategies and tools make the student continuously aware of his/her progress in class and mastery of the content. Fully Met
Assessment Resources and Materials Rating Comments
Assessment materials provide the instructor with the flexibility to assess students in a variety of ways. Partially Met
Grading rubrics are provided to the instructor and may be shared with students. Partially Met
The grading policy and practices are easy to understand. Fully Met
The course architecture permits the online instructor to add content, activities and assessments to extend learning opportunities. Fully Met
The course accommodates multiple school calendars; e.g., block, 4X4 and traditional schedules. Partially Met
Clear and consistent navigation is present throughout the course. Partially Met
Rich media are provided in multiple formats for ease of use and access in order to address diverse student needs. Fully Met
Technology Requirements and Interoperability Rating Comments
All technology requirements (including hardware, browser, software, etc...) are specified. Fully Met
Prerequisite skills in the use of technology are identified. Fully Met
The course uses content-specific tools and software appropriately. Fully Met
The course is designed to meet internationally recognized interoperability standards. Partially Met
Copyright and licensing status, including permission to share where applicable, is clearly stated and easily found. Partially Met
Course materials and activities are designed to provide appropriate access to all students. The course, developed with universal design principles in mind, conforms to the U.S. Section 504 and Section 508 provisions for electronic and information technology as well as the W3C’s Web Content Accessibility guidelines (WCAg 2.0). Fully Met
Student information remains confidential, as required by the Family Educational Rights and Privacy Act (FERPA). Fully Met
The course provider uses multiple ways of assessing course effectiveness. Partially Met
The course is evaluated using a continuous improvement cycle for effectiveness and the findings used as a basis for improvement. Partially Met
The course is updated periodically to ensure that the content is current. Partially Met
Course instructors, whether faceto-face or virtual, are certificated and “highly qualified.” The online course teacher possesses a teaching credential from a state-licensing agency and is “highly qualified” as defined under ESEA. Partially Met
Instructor and Student Support Rating Comments
Professional development about the online course delivery system is offered by the provider to assure effective use of the courseware and various instructional media available. Fully Met
The course provider offers technical support and course management assistance to students, the course instructor, and the school coordinator. Fully Met
Course instructors, whether face-to-face or virtual, have been provided professional development in the behavioral, social, and when necessary, emotional, aspects of the learning environment. Fully Met
Course instructors, whether face-to-face or virtual, receive instructor professional development, which includes the support and use of a variety of communication modes to stimulate student engagement online. Fully Met
The provider assures that course instructors, whether face-to-face or virtual, are provided support, as needed, to ensure their effectiveness and success in meeting the needs of online students. Fully Met
Students are offered an orientation for taking an online course before starting the coursework. Fully Met
The goals and objectives clearly state what the participants will know or be able to do at the end of the course. The goals and objectives are measurable in multiple ways. Fully Met
The course content and assignments are aligned with the state’s content standards, Common Core curriculum, or other accepted content standards set for Advanced Placement® courses, technology, computer science, or other courses whose content is not included in the state standards. Partially Met
The course content and assignments are of sufficient rigor, depth and breadth to teach the standards being addressed. Partially Met
Information literacy and communication skills are incorporated and taught as an integral part of the curriculum. Fully Met
Multiple learning resources and materials to increase student success are available to students before the course begins. Fully Met
Course Overview and Introduction Rating Comments
Clear, complete course overview and syllabus are included in the course. Partially Met
Course requirements are consistent with course goals, are representative of the scope of the course and are clearly stated. Fully Met
Information is provided to students, parents and mentors on how to communicate with the online instructor and course provider. Partially Met
Legal and Acceptable Use Policies Rating Comments
The course reflects multi-cultural education, and the content is accurate, current and free of bias or advertising. Partially Met
Expectations for academic integrity, use of copyrighted materials, plagiarism and netiquette (Internet etiquette) regarding lesson activities, discussions, and e-mail communications are clearly stated. Fully Met
Privacy policies are clearly stated. Partially Met
Online instructor resources and notes are included. Fully Met
Assessment and assignment answers and explanations are included. Fully Met

Review Conducted By :
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Date of Review :

Module I: Numbers and Expressions
• Lesson 1 – Real Numbers: Different Types of Numbers
• Lesson 2 – Real Numbers: Describing Sets
• Lesson 3 – Rational Numbers (Fractions): Simplest Form
• Lesson 4 – Rational Numbers (Fractions): Improper Fractions and Mixed Numbers
• Lesson 5 – Fractions, Decimals, and Percents: Classify Decimals
• Lesson 6 – Fractions, Decimals, and Percents: Compare Decimal Values
• Lesson 7 – Fractions, Decimals, and Percents: Equivalent Forms of Numbers
• Lesson 8 – The Number Line
• Lesson 9 – Exponents: Exponential, Composite, and Prime Numbers
• Lesson 10 – Exponents: Prime Factorization
• Lesson 11 – Roots: Square Roots
• Lesson 12 – Roots: Cube Roots
• Lesson 13 – Order of Operations
• Lesson 14 – Number Properties: Inverses, Zero Property, and Closure
• Lesson 11 – Number Properties: Identities and Inverses
• Lesson 12 – Commutative and Associative Properties: Commutative
• Lesson 13 – Commutative and Associative Properties: Associative Properties
• Lesson 14 – Distributive Property
Module II: Solving Equations
• Lesson 1 – Algebraic Expressions: Identify Parts of Expressions
• Lesson 2 – Algebraic Expressions: Simplifying Expressions
• Lesson 3 – Verbal Statements: Translate Written Statements into Algebraic Expressions
• Lesson 4 – Verbal Statements: Represent Patterns Using Algebraic Expressions
• Lesson 5 – One-Step Equations: Use Addition and Subtraction to Solve
• Lesson 6 – One-Step Equations: Use Multiplication and Division to Solve
• Lesson 7 – Multi-Step Equations with Integers: Solving Equations with More than One Step
• Lesson 8 – Multi-Step Equations with Integers: Solving Equations by Combining Terms
• Lesson 9 – Multi-Step Equations with Integers: Solving Equations Using Distribution
• Lesson 10 – Absolute Value: Distance on a Number Line
• Lesson 11 – Absolute Value: Evaluate Absolute Value Expressions
• Lesson 12 – Absolute Value Equations: One-Step Equations
• Lesson 13 – Absolute Value Equations: Multi-Step Equations and Extraneous Solutions
• Lesson 14 – Complex Multi-Step Equations: Combine Like Terms
• Lesson 15 – Complex Multi-Step Equations: Equations with Variables on Both Sides of the Equals Sign
• Lesson 16 – Complex Multi-Step Equations: Decimals and Fractions
• Lesson 17 – Complex Multi-Step Equations: Equations with Grouping Symbols
Module III: Functions and Relations
• Lesson 1 – Coordinate Plane: Parts of the Coordinate Plane
• Lesson 2 – Coordinate Plane: Coordinates and Points
• Lesson 3 – Relations and Functions: Relations
• Lesson 4 – Relations and Functions: Identify Relations that Are Functions
• Lesson 5 – Function Notation and Rules: Function Rules
• Lesson 6 – Function Notation and Rules: Independent and Dependent Variables
• Lesson 7 – Evaluating Functions: Use a Table
• Lesson 8 – Evaluating Functions: Use a Graph or a Rule
• Lesson 9 – Domain and Range: The Domain of a Function
• Lesson 10 – Domain and Range: The Range of a Function
• Lesson 11 – Graph of a Function: Make a Table to Represent a Function
• Lesson 12 – Graph of a Function: Make and Use a Graph
• Lesson 13 – Function Operations: Add and Subtract Functions
• Lesson 14 – Function Operations: Multiply and Divide Functions
• Lesson 15 – Inverse of a Function: Inverse Functions
• Lesson 16 – Inverse of a Function: Graph the Inverse of a Function
Module IV: Linear Equations
• Lesson 1 – Slope: Relate to the Slope of a Hill
• Lesson 2 – Slope: Find the Slope of a Line
• Lesson 3 – Rate of Change
• Lesson 4 – Direct Variation: Equations, Tables, and Graphs
• Lesson 5 – Direct Variation: Using Variation to Solve Problems
• Lesson 6 – Linear Functions: Three Forms of Linear Equations
• Lesson 7 – Linear Functions: Use Different Forms of Equations
• Lesson 8 – Converting Between Forms: Different Forms of Lines
• Lesson 9 – Converting Between Forms: Changing Between Forms of Lines
• Lesson 10 – Writing the Equation of a Line: Point-slope and Slope-intercept Forms
• Lesson 11 – Writing the Equation of a Line: Writing Equations When Given Two Points
• Lesson 12 – Writing the Equation of a Line: Writing Equations Based on Graphs
• Lesson 13 – Graphing Linear Functions: Point-slope forms of Lines
• Lesson 14 – Graphing Linear Functions: Slope-intercept and Standard Forms of Lines
• Lesson 15 – Line of Best Fit: Scatter Plots
• Lesson 16 – Line of Best Fit: Trend Lines
• Lesson 17 – Vertical and Horizontal Lines: Slope of Vertical and Horizontal Lines
• Lesson 18 – Vertical and Horizontal Lines: Equations of Vertical and Horizontal Lines
• Lesson 19 – Parallel and Perpendicular Lines: Slopes of Parallel and Perpendicular Lines
• Lesson 20 – Parallel and Perpendicular Lines: Equations of Parallel and Perpendicular Lines
• Lesson 1 – Adding and Subtracting Polynomials: Names and Degrees of Polynomials
• Lesson 3 – Adding and Subtracting Polynomials: Subtract Polynomials
• Lesson 4 – Multiplying Polynomials: Multiply Polynomials
• Lesson 5 – Multiplying Polynomials: Use FOIL to Multiply Polynomials
• Lesson 6 – GCF of Polynomials: Greatest Common Factor (GCF)
• Lesson 7 – GCF of Polynomials: Use GCF to Factor Polynomials
• Lesson 8 – Guess and Check Factoring: Factor Trinomials Using Guess and Check
• Lesson 9 – Guess and Check Factoring: Factor Trinomials With a Number in Front
• Lesson 10 – Factoring Special Cases: Factor Perfect Square Trinomials
• Lesson 11 – Factoring Special Cases: Factor a Difference of Two Squares
• Lesson 12 – Factoring Special Cases: Factor a Sum of Cubes
• Lesson 13 – Factoring Special Cases: Factor a Difference of Cubes
• Lesson 14 – Solving Quadratic Equations: Quadratic Equations with Square Roots
• Lesson 15 – Solving Quadratic Equations: Use the Zero Product Property
• Lesson 16 – Solving Quadratic Equations: The Difference of Two Squares
• Lesson 17 – Solving Quadratic Equations: Trinomials
• Lesson 18 – Completing the Square: Create Perfect Square Trinomials
• Lesson 19 – Completing the Square: Solve Quadratic Equations
• Lesson 20 – Quadratic Formula: The Discriminant
• Lesson 23 – Quadratic Graphs: Parts of Parabolas
• Lesson 24 – Maximum and Minimum: Find Maximum and Minimum
• Lesson 25 – Maximum and Minimum: Write Quadratic Functions

Term Type Enrollment Opens Enrollment Ends Random Draw Date Enrollment Drop Date Course Starts Course Ends # of Seats Course Fee Potential Additional Costs
Open Entry / Open Exit 07/01/2019 12/31/2019 100 \$270.0000 0.0000
Drop Policy Completion Policy Term Type Enrollment Opens Enrollment Ends
Courses dropped within 2 weeks of enrollment will receive 100% refund Enrollments earning 60% or more of the total course points are considered course completions and will be charged the final 20% payment. Open Entry / Open Exit 07/01/2019 12/31/2019

Students can contact their online instructor as needed. Online instructors have posted office hours, and provide contact information.

School Year Enrollment Count Pass Count Completion Rate Notes
13-14 51 28 54.9% Enrollment data include all enrollments (21f and non-21f) for the Spring and Summer 2013-14 school year.
14-15 40 21 52.5%

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