AP/Advanced Calculus Part 2
Course Description:
AP/Advanced Calculus Part 2 begins with additional topics related to derivatives, specifically first and second derivatives and their graphs. The study of derivatives concludes with optimization, linearization, and related rates. Students will study definite integrals and area under a curve. The topics include antiderivatives, the Fundamental Theorem of Calculus, the trapezoidal rule, slope fields, and antidifferentiation by substitution. The course concludes with the application of definite integrals. Students will study the integral as an accumulation function, the area under a curve, and the volume of a surface of revolution. This course meets the Advanced Placement criteria required by the College Board. *Note: AP/Advanced Calculus Parts 1 and 2 are intended to prepare students for the AP Calculus AB exam. It is recommended that students successfully complete AP/Advanced Calculus Part 1 or equivalent course work before enrolling in this course. Successful completion of both Part 1 and Part 2 of this course is required for students to earn the AP designation.
Course Details:
| Course Title (District): | AP/Advanced Calculus Part 2 | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Course Title (NCES SCED) : | AP Calculus BC | ||||||||||
| Course Provider : | Genesee ISD | ||||||||||
| Content Provided By : | Lincoln Learning Solutions | ||||||||||
| Online Instructor Provided By : | Lincoln Learning Solutions | ||||||||||
| Standards Addressed : | Michigan Merit Curriculum, CollegeBoard | ||||||||||
| Academic Terms : | Semester, Open Entry / Open Exit | ||||||||||
| NCES SCED Code : 02125 |
|
How To Enroll:
| Enrollment Website : | https://www.gennet.us |
|---|---|
| Email : | [email protected] |
| Phone : | 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 Course Information:
- Email: [email protected]
- Phone: 810.591.4401
Additional Cost: $0.0
Additional Cost Description: The majority of our courses come with an online textbook, however, physical textbooks are available at an additional cost.
Unit 1: Essential Content and Skills
Use the first derivative test for local extrema.
Define the phrase “point of inflection.”
Read the graph of a derivative.
Analyze the Second Derivative Test for local extrema.
Solve application problems involving finding minimum or maximum values of functions.
Use Newton’s method to approximate the zeros of a function.
Estimate the change in a function using differentials.
Unit 2: Essential Content and Skills
Find distance traveled when velocity varies.
Discover rectangular approximation method (RAM).
Analyze the definite integral and area.
Evaluate integrals of constant functions.
Integrate discontinuous functions.
Apply rules for definite integrals.
Find the average value of a function over a closed interval.
Unit 3: Essential Content and Skills
Apply the Fundamental Theorem of Calculus.
Use the Trapezoidal Rule and Simpson’s Rule.
Construct and interpret slope fields as visualizations of differential equations.
Compute indefinite integrals by the method of substitution.
Solve exponential growth and decay problems by separation of variables.
Solve problems involving exponential growth and decay in a variety of applications.
Unit 4: Essential Content and Skills
Examine integrals as net change.
Use integration to calculate area between curves, area enclosed by intersecting curves, and area using subregions.
Integrate with respect to y to find the area of the region.
Discover volume as an integral.
Evualuate cross sections of unusually shaped solids.
Adapt knowledge of integral calculus to model problems involving rates of change in a variety of applications.
iNACOL National Standards for Quality Online Courses
| Academic Content Standards and Assessments | Rating | Comments |
|---|---|---|
| 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 |
| Instructor Resources | Rating | Comments |
|---|---|---|
| Online instructor resources and notes are included. | Fully Met | |
| Assessment and assignment answers and explanations are included. | Fully Met |
| Accessing Course Effectiveness | Rating | Comments |
|---|---|---|
| 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 |
| Course Updates | Rating | Comments |
|---|---|---|
| The course is updated periodically to ensure that the content is current. | Fully Met |
| Certification | Rating | Comments |
|---|---|---|
| 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 |
| 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. | Partially Met | |
| 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. | 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 |
| Communication and Interaction | Rating | Comments |
|---|---|---|
| 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 |
| Resources and Materials | Rating | Comments |
|---|---|---|
| Students have access to resources that enrich the course content. | Fully Met |
| Evaluation Strategies | Rating | Comments |
|---|---|---|
| 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 |
| Feedback | Rating | Comments |
|---|---|---|
| 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 |
| Course Architecture | Rating | Comments |
|---|---|---|
| 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 |
| User Interface | Rating | Comments |
|---|---|---|
| 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. | Partially 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 |
| Accessibility | Rating | Comments |
|---|---|---|
| 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). | Partially Met |
| Data Security | Rating | Comments |
|---|---|---|
| Student information remains confidential, as required by the Family Educational Rights and Privacy Act (FERPA). | Fully Met |
Review Conducted By: Genesee ISD
Date of Review:
08/01/2014
Unit 1: Essential Content and Skills
Use the first derivative test for local extrema.
Define the phrase “point of inflection.”
Read the graph of a derivative.
Analyze the Second Derivative Test for local extrema.
Solve application problems involving finding minimum or maximum values of functions.
Use Newton’s method to approximate the zeros of a function.
Estimate the change in a function using differentials.
Unit 2: Essential Content and Skills
Find distance traveled when velocity varies.
Discover rectangular approximation method (RAM).
Analyze the definite integral and area.
Evaluate integrals of constant functions.
Integrate discontinuous functions.
Apply rules for definite integrals.
Find the average value of a function over a closed interval.
Unit 3: Essential Content and Skills
Apply the Fundamental Theorem of Calculus.
Use the Trapezoidal Rule and Simpson’s Rule.
Construct and interpret slope fields as visualizations of differential equations.
Compute indefinite integrals by the method of substitution.
Solve exponential growth and decay problems by separation of variables.
Solve problems involving exponential growth and decay in a variety of applications.
Unit 4: Essential Content and Skills
Examine integrals as net change.
Use integration to calculate area between curves, area enclosed by intersecting curves, and area using subregions.
Integrate with respect to y to find the area of the region.
Discover volume as an integral.
Evualuate cross sections of unusually shaped solids.
Adapt knowledge of integral calculus to model problems involving rates of change in a variety of applications.
Use the first derivative test for local extrema.
Define the phrase “point of inflection.”
Read the graph of a derivative.
Analyze the Second Derivative Test for local extrema.
Solve application problems involving finding minimum or maximum values of functions.
Use Newton’s method to approximate the zeros of a function.
Estimate the change in a function using differentials.
Unit 2: Essential Content and Skills
Find distance traveled when velocity varies.
Discover rectangular approximation method (RAM).
Analyze the definite integral and area.
Evaluate integrals of constant functions.
Integrate discontinuous functions.
Apply rules for definite integrals.
Find the average value of a function over a closed interval.
Unit 3: Essential Content and Skills
Apply the Fundamental Theorem of Calculus.
Use the Trapezoidal Rule and Simpson’s Rule.
Construct and interpret slope fields as visualizations of differential equations.
Compute indefinite integrals by the method of substitution.
Solve exponential growth and decay problems by separation of variables.
Solve problems involving exponential growth and decay in a variety of applications.
Unit 4: Essential Content and Skills
Examine integrals as net change.
Use integration to calculate area between curves, area enclosed by intersecting curves, and area using subregions.
Integrate with respect to y to find the area of the region.
Discover volume as an integral.
Evualuate cross sections of unusually shaped solids.
Adapt knowledge of integral calculus to model problems involving rates of change in a variety of applications.
| 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 | 08/01/2024 | 07/31/2025 | 100 | $275 | $0 |
| Drop Policy | Completion Policy | Term Type | Enrollment Opens | Enrollment Ends |
|---|---|---|---|---|
| Full refund when withdrawn within 14 days of enrollment. | EdisonLearning Instructional Support Staff provide instructional feedback on all teacher-graded assignments. Grades are submitted upon course part completion or upon request from the student’s Advisor. | Open Entry / Open Exit | 08/01/2024 | 07/31/2025 |
Highly qualified teachers provide students with quality feedback to expand and support content understanding. Students can also utilize email, Teacher Office Hours, Announcements, and Discussion Boards to contact and interact with their teachers.
| School Year | Enrollment Count | Pass Count | Completion Rate | Notes |
|---|---|---|---|---|
| 19-20 | 0 | 0 | 0.0% | |
| 14-15 | 0 | 0 | 0.0% | None |
All Lincoln Interactive courses are supported by highly qualified teachers. Students have access to multiple learning components including videos, games, tutorials, etc. For technical concerns within each Lincoln Interactive course, students can contact the Lincoln Interactive Support Portal at http://support.lincolninteractive.org.