# AP Calculus AB (Semester 1)

## Course Description:

This Advanced Placement course introduces limits, differentiation, and integration of functions. Students will find and evaluate finite and infinite limits graphically, numerically, and analytically. They will find derivatives using a variety of methods including The Chain Rule and Implicit Differentiation. They will use the First Derivative Test and The Second Derivative Test to analyze and sketch functions. Subsequently, students will find antiderivatives using a variety of methods including substitution. They will evaluate integrals using a variety of methods including numerical integration. They will understand and apply Riemann sums, definite integrals, and The Fundamental Theorem of Calculus. In particular, they will differentiate and integrate logarithmic, exponential, and inverse trigonometric functions. They will solve simple differential equations that can be solved by separation of variables and use them to solve applied problems. They will use integration to determine the area between two curves, volume, and surface area. Finally, they will apply integration to determine work, center of mass, and fluid force. The use of a graphing calculator is considered an integral part of the course and students will use a graphing calculator throughout this course.

## Course Details:

Course Title (District): AP Calculus AB (Semester 1)
Course Title (NCES SCED) : AP Calculus AB
Course Provider : Genesee ISD
Content Provided By : Fuel Education LLC
Online Instructor Provided By : Fuel Education LLC
Academic Terms : Open Entry / Open Exit
NCES SCED Code :
 Subject Area : Mathematics Course Identifier : AP Calculus AB Course Level : High School (Secondary) 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.

Additional Cost Description: Most courses have no additional costs; however some have required books or other materials that are not included in the course. Some required books or other materials may be available for checkout from schools or public libraries. See the provider's course description for required books/materials or call 810-591-4401 for assistance.

Find and evaluate finite and infinite limits graphically, numerically, and analytically. Find derivatives using a variety of methods including The Chain Rule and Implicit Differentiation. Find extrema and apply Rolle's Theorem and the Mean Value Theorem. Use the First Derivative Test and The Second Derivative Test to analyze and sketch functions. Find antiderivatives using a variety of methods including substitution. Understand and apply Riemann sums, definite integrals, and The Fundamental Theorem of Calculus. Evaluate integrals using a variety of methods including substitution and numerical integration. Differentiate and integrate logarithmic, exponential, and inverse trigonometric functions. Solve simple differential equations that can be solved by separation of variables. Use simple differential equations that can be solved by separation of variables to solve applied problems. Use integration to determine the area between two curves, volume, and surface area. Apply integration to determine work, center of mass, and fluid force.

#### iNACOL National Standards for Quality Online Courses

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. Fully Met
The course content and assignments are of sufficient rigor, depth and breadth to teach the standards being addressed. Fully 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. Fully 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. Fully 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. Fully 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. Fully Met
Online instructor resources and notes are included. Fully Met
Assessment and assignment answers and explanations are included. Fully 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. Fully 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
Instructional Strategies and Activities Rating Comments
The course instruction includes activities that engage students in active learning. Fully Met
The course and course instructor provide students with multiple learning paths, based on student needs that engage students in a variety of ways. Fully Met
The course provides opportunities for students to engage in higher-order thinking, critical reasoning activities and thinking in increasingly complex ways. Fully Met
The course provides options for the instructor to adapt learning activities to accommodate students’ needs. Fully Met
Readability levels, written language assignments and mathematical requirements are appropriate for the course content and grade-level expectations. Fully Met
The course design provides opportunities for appropriate instructor-student interaction, including opportunities for timely and frequent feedback about student progress. Fully 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. Fully Met
The course provider uses multiple ways of assessing course effectiveness. Fully Met
The course is evaluated using a continuous improvement cycle for effectiveness and the findings used as a basis for improvement. Fully Met
The course is updated periodically to ensure that the content is current. Fully 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. Fully 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
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. Fully Met
Grading rubrics are provided to the instructor and may be shared with students. Fully 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. Fully Met
Clear and consistent navigation is present throughout the course. Fully 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. Fully Met
Copyright and licensing status, including permission to share where applicable, is clearly stated and easily found. Fully 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

Review Conducted By: Fuel Education LLC
Date of Review: 07/02/2014

Unit 1: Limits and Their Properties
Limits Introduction
Section 1 - Finding Limits Numerically and Graphically
Section 2 - Finding Limits Analytically
Section 3 - Continuity and One-Sided Limits
Section 4 - Exam Review
Unit 2: Differentiation
Differentiation Introduction
Section 1 - The Derivative
Section 2 - Differentiation
Section 3 - Implicit Differentiation
Section 4 - Exam Review
Unit 3: Graph Behavior
Graph Behavior Introduction
Section 1 - Extrema and the Mean Value Theorem
Section 2 - Increasing, Decreasing, and Concavity Behavior
Section 3 - Limits at Infinity and Curve Sketching
Section 4 - Exam Review
Unit 4: Applications
Applications Introduction
Section 1 - Linear Motion
Section 2 - Optimization and Differentials
Section 3 - Exam Review
Semester 1 Exam
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 07/01/2023 06/30/2024 100 \$270 \$0
Open Entry / Open Exit 07/01/2023 06/30/2024 100 \$275 \$0
Open Entry / Open Exit 07/01/2023 06/30/2024 100 \$300 \$0
Drop Policy Completion Policy Term Type Enrollment Opens Enrollment Ends
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 07/01/2023 06/30/2024
Open Entry / Open Exit 07/01/2023 06/30/2024
K-5: Extensions are not available. 6-12: 4-week extensions are available for \$50 per enrollment (maximum 2 extensions per 18-week enrollment). 6-12: 2-week extensions are available for \$25 per enrollment (maximum 2 extensions per 9-week enrollment). Open Entry / Open Exit 07/01/2023 06/30/2024
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
19-20 6 4 66.67%
14-15 5 4 80.0%
13-14 12 9 75.0% Enrollment data include all enrollments (21f and non-21f) for the Spring and Summer 2013-14 school year.
N/A