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AP Calculus
Instructor & Contact Information: Betty Mayberry [email protected] Course Description: Calculus AB and Calculus BC are primarily concerned with developing the students’ understanding of the concepts of calculus and providing experiences with its methods and applications. These courses emphasize a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections between these representations are vital to the successful understanding of calculus. Calculus BC is an extension of Calculus AB rather than an enhancement. Common topics require similar depth of understanding and both courses are intended to be challenging and demanding. Through the use of unifying themes of derivative, integral, limits, and approximation, and applications and modeling, both course become a cohesive whole rather than a collection of unrelated topics.
AP Calculus BC is designed to follow the AP Calculus BC curriculum established by the College Board. This curriculum can be found and is available online at http:/apcentral.collegeboard.com. This course examines both differential and integral calculus, focusing on a wide variety of functions. Students are expected to posses the determination and initiative to take on a college level course as well as the corresponding work load. Students are required to take Calculus AP exam. Students will have completed one fourth of the topics found in this curriculum in our pre calculus class. Successful completion of a summer home work assignment is a prerequisite for the class. This course may be taken in conjunction with Physics C.
Major Course Units:
Semester 1: 1) Limits and continuity Summer
Assignment 2) The Derivative (3 weeks) 3) Parametric and Polar Functions (2 weeks)
4) Applications of the Derivative (7 weeks) Extreme Value Modeling and Optimization Related Rates 5) The definite integral (3 weeks)
Riemann Sums Area Properties of Integrals # Semester Review/Semester Exam (1 week) Semester 2: 6) The definite integral (2 weeks)
Fundamental Theorem of Calculus 7) Differential Equations (3 weeks) 8) Application of the Definite Integral (2 weeks) 9) Improper Integrals with L’Hopital’s Rule Revisited (3 weeks) 10) Parametric, Vector, and Polar Functions (2 weeks) 11) Sequence and Series (6 weeks)
Textbook: Calculus Graphical, Numerical, Algebraic
ISBN 0-13-063131-0 Pearson Education
Grading Policy
Type Description Assessment Form Weight
Homework
Daily preparation for class that involves work from the Calculus textbook, the white AP notebook, and other supplementary worksheets
These assignments will be graded for completion and a selection of problems for accuracy. The collection and grading process is described under Homework Policy.
20%
Quizzes
Formal quizzes that assess a group of ideas or concepts recently covered in class. Typically, these will be similar to homework problems and AP exam questions. These quizzes include short Homework Quizzes as well as more major Review Quizzes.
Homework quizzes should be expected every day following a homework assignment. They will be short and are meant to mirror the problems from the recent homework. Quizzes will be announced in advance and will be more substantial than homework quizzes and will be used to assess understanding in the middle of a unit.
25%
Tests
Unit Tests covering the material of the most recent unit AND Major Projects
-‐ Free response and multiple choice tests, with questions that parallel those that will be on the AP exam. -‐ Projects will range from tab books to presentations
50%
Daily Preparation
Daily Preparation Grade Calculator, Notebook, Graph Paper, Textbook, Pencil, Behavior
-‐ All students will begin each quarter with a 100% in this category. -‐ Two points will be removed for each day that a student enters the class without the necessary supplies. 5%
Veracross Codes:
Description Abbreviation Notes Pending Pending Assignment has not been graded or the deadline has not arrived Complete -‐ Completed assignment Not Turned In NTI Student was present but did not turn in the assignment. Late penalties
apply. Missing Assignment M Student was absent. Student can receive full credit for the assignment
when returning to school. Incomplete Inc Student failed to finish or hand in an acceptable quality of work on a
major assessment. Not Required to Complete
NREQ Student is not required to complete the assignment