AP  Calculus    

Instructor  &  Contact  Information:    Betty  Mayberry  Betty.mayberry@jp2hs.org   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