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Description
The Advanced Placement® Calculus AB course is a is the equivalent of a first semester college calculus course devoted to topics in differential and integral calculus. The rigor and pace of this course is consistent with calculus offerings at many colleges and universities and will prepare students for the Advanced Placement® Exam. Upon successful completion of the exam, students may receive college credit and will be well-prepared for additional advanced mathematics coursework.
AP® Calculus AB builds upon prior knowledge in previous mathematics course work. Students will explore topics within the three big ideas covered in the course: (1) Change, (2) Limits, and (3) Analysis of Functions. This course allows students to gain conceptual understanding through discussions, group activities and investigations. Students will learn how to use the graphing calculator to help solve problems, experiment, interpret results, and support conclusions. In order to prepare for the exam, students will complete weekly AP® practice quizzes and unit exams that will conform to the constraints of the AP® exam.
Students enrolled in VHS Advanced Placement® courses are expected to take the AP® exam and to report their AP® exam scores to VHS. By enrolling in an AP® VHS class, the students authorize their school administration to report AP® exam scores to VHS. Exam results will not affect the student's VHS grade or future enrollment in VHS courses.
Additional information from College Board can be found here: AP® Calculus AB Course Overview.
This AP® course has a required summer assignment. Students are expected to complete their summer assignment before the course begins and submit their work by the end of Week 1. Students who register on or after September 1st will receive an extension to complete the summer assignment by the end of Week 3. The summer assignment is intended to review crucial content associated with pre-requisite knowledge for the course, where applicable, as well as to allow students to better understand the rigor associated with the content. Prerequisites
In addition to the enrollment fee, this course has an AP® fee of $75.
The required summer assignment for AP® Calculus AB can be found in our AP® Summer Work Directory.
Students should complete four years of secondary mathematics designed for college-bound students. These courses should explore topics in algebra, geometry, trigonometry, analytic geometry, and elementary functions. Students should be familiar with the properties of these elementary functions, which include linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions.
Course Objectives
Students will be able to:
Work with functions represented in multiple ways: graphical, numerical, analytical, or verbal
Explain the meaning of the derivative in terms of a rate of change and local linear approximation and use derivatives to solve problems
Explain the meaning of the definite integral as a limit of Riemann sums and as the net accumulation of change and use integrals to solve problems
Describe the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus
Communicate mathematics and explain solutions to problems verbally and in writing
Model a written description of a physical situation with a function, a differential equation, or an integral
Use technology to solve problems, experiment, interpret results, and support conclusions
Determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement
Additional Requirements
Students must have access to a graphing calculator (preferably a TI-83/TI-84) and a word processing program (Google Docs or Microsoft Word).
This AP® course has a required summer assignment. Students are expected to complete their summer assignment before the course begins and submit their work by the end of Week 1. Students who register on or after September 1st will receive an extension to complete the summer assignment by the end of Week 3. The summer assignment is intended to review crucial content associated with pre-requisite knowledge for the course, where applicable, as well as to allow students to better understand the rigor associated with the content.
This course uses resources that may require regular access to a computer with a Windows/Mac operating system or Chromebook as some assignments cannot be completed with a mobile device.
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Details
Discipline:
Mathematics
Level:
Advanced Placement
Grade:
10, 11, 12, 13
When Offered:
Fall
Duration:
36 weeks
Lab Kit Purchase Required:
No
Accredited:
Certified by NCAA for initial-eligibility (VHS Learning School Code:221356), Cognia (AdvancED), Middle States Commission on Secondary Schools
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