**AP Calculus (BC)**

**2015- 2016 Ms. Gray**

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This course is intended for students who have a **thorough** knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry (rectangular and polar coordinates, equations and graphs, lines and conics) and have successfully completed AP Calculus (AB) or Calculus (H). Students that completed PreCalculus Trigonometry (H) with an average of A or A+ were eligible to enroll in this course. A summer packet was distributed in June to all students enrolled in this course.

AP Calculus (BC) is a **2 semester college course **in Calculus with elementary, trigonometric, rational, logarithmic, parametric, polar and vector functions. The following topics are some which are included in the course: functions and graphs, limits and continuity, differential calculus and integral calculus, polynomial approximations and series, Taylor series, slope fields and convergence/divergence.

The AP exam is taken in May and is scored from 1 to 5 with the following descriptions:

5 - Extremely well qualified 4 - well qualified 3 - qualified 2 - possibly qualified

1 - No recommendations

All students enrolled in this course are expected to take the exam and perform at a high level. Remember: there are 8 college credits available and advanced placement or honors placement in a mathematics course in college at risk!

In July, the grades are reported to the students, their high school and the colleges they have selected. It is expected that students who take this course will seek college credit or placement or both. **The use of the graphing calculator is critical to success on the AP exam.**

The requirements regarding the calculator are that it has the capability to:

- produce the graph of a function within an arbitrary viewing window,
- find the zeros of a function,
- compute the derivative of a function numerically, and
- Compute definite integrals numerically.

These capabilities should be built into the calculator. For AP Calculus (BC), the **TI 89 Titanium is strongly recommended.** Students may bring to the exam one or two graphing calculators from the approved list. Decimal answers must be correct to three decimal places.

The classroom will tend to be interactive throughout the year with opportunities for group, cooperative learning. There will be formal lectures, group investigations and power point presentations. Grading will be achieved through numerous mechanisms. To be prepared for class you need to bring with you:

A grid notebook ~ a pen/pencil ~ your textbook ~ an approved graphing calculator(s)

**Text**: Calculus ~ Demana, Waits, Foley. Kennedy: D & S Study Guide 3^{rd} edition

*“Do not follow where the path may lead. Go instead where there is no path and leave a trail.”*

**Grading System**

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Tests Quizzes Work packets Homework Group Project Journal Language

Points are assigned to each assessment that is given each marking period. The rubrics will be set up with method and answer mark distributions.** **

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**Tests**

Tests are announced and will be given 2 or 3 times per marking period. They will always be** modeled after the AP Exam** and will include multiple choice (with and without a calculator) and free response questions (with and without a calculator). My policy for test/quiz make-ups follows the school stated policy.

**Quizzes**

Quizzes will evaluate your understanding of smaller amounts of material and are** usually announced.**

**Homework**

Homework is an integral part of this course and will be checked daily. It must be attempted to receive credit. The homework grade is based on your trying to do all of the assigned problems, not on whether the answers are correct. To receive credit, ** work must be shown for the homework question. An answer only will receive no credit. **The answer does not have to be correct to receive credit. The homework grade is based on your honest attempt of the work assigned. Homework assignments will be given to you in one week blocks.

**You are responsible for problems assigned whether or not you are in class.**. If you earn an A or an A+ in a marking period, then in the following marking period you will be responsible for the

**abbreviated homework**assignment on the syllabus. This may be revoked at any time if your grade begins to fall. If all homework is done, you earn 2 points each day. If it is partially completed, you get one point per day. If it is not done, you get zero points for that day in homework.

**Work packets**

**Every two to three weeks** a workpacket will be given to you at the beginning of the week. It will contain problems which are of the free-response type on the AP exam and a selection of multiple choice questions which are AP style. Each free response problem is worth 9 points and each multiple choice question is worth 3 points. You will have two to three weeks to complete the packet. You may do these on your own or in a small group. However, each student must hand in their **own **set of solutions. When you hand in the packet you will receive the next packet. The questions are cumulative throughout the year.

**Group Project**

A group project will be assigned** each marking period** which will be an application of the calculus learned. Groups will be self selected each marking period. The group size will vary based on the particular project. Each project will take anywhere from 4 to 6 hours to complete.

**Journal**

Journal assignments will be given each marking period. The responses **must be typed**, preferably on a word processor. Graphs should be done on a graphing software. This work MUST be done independently. See journal sheet for details.

**Late**

Any item handed in late will have its grade reduced by **25% of its total points per day. When no lates are acceptable, it will be stated on the assignment sheet.**

**Post AP Exam **

Please note that the course does not end after the AP exam has been taken. A final project will take place after the exam. The book Flatland will be assigned to be read in this time frame. We may view and then do a report on the movie *Stand and Deliver*. There will be formal presentations done in class of the 6 open-ended questions from the May 2016 AP exam. We mayl also design and present a math play!

**Notebook**

A calculus notebook should be maintained with class notes but is not required. It should contain a separate section which contains notes on the graphing calculator with instructions given in class.

**Policies**

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- Assigned projects are to be handed in when due. If they are late, 25% per day will be deducted from the grade. The only acceptable excuses are illness, court or bereavement.
**The school policy on attendance is strictly adhered to.**DO NOT be late to class!- Seats are assigned and attendance taken from assigned seats. They will change a few times a year. If anyone has a visual or auditory problem and needs to sit up front, please inform me immediately!
- If you know that you are not going to be in class due to a field trip or other pre-arranged event, you
**must**inform me of that absence before it occurs. You are responsible for any work missed during that absence. Work due that day must then be handed in early! - Homework assignments, test and quiz dates and project due dates are to be written in your assignment book. All homework assignments are on your weekly syllabus for this class.
**No sharing of calculators, equation sheets or notebooks will be permitted during tests, quizzes, or exams. Department calculators will be used for all tests and exams.**- When you are absent from class, see me to obtain any work that you missed or to reschedule a quiz or a test.
- No hats are allowed to be worn in the classroom.
- No food, gum or beverages are allowed in the classroom.
- No cell phones, pagers, smart phones, google glasses or ipods are allowed in the classroom. They will be confiscated if seen in my classroom.
- All purses and backpacks are to be kept on the floor.

A group project can be assigned each marking period which will be an application of the mathematics learned. Groups will be determined each marking period. The group size will vary based on the particular project. Each project will take anywhere from 4 to 6 hours to complete.

Journal

Journal assignments can be given each marking period. The responses must be typed, preferably on a word processor. Graphs should be done on graphing software. This work MUST be done independently.

Language

Each marking period, every student has 10 points for correct mathematical language usage in the classroom. Each incorrect or improper usage of math language in class will result in the loss of one of the 10 bonus points. Good Luck!

Late

Any item handed in late will have its grade reduced by 25% per day. If late submissions are not accepted, it will be noted on the project sheet.

Exams

This course will have midterm and final exams. It is a five-credit honors math course which can be used to satisfy the math requirement for graduation.

Policies

· Assigned projects are to be handed in when due. If they are late, 25% per day will be deducted from the grade. The only acceptable excuses are illness, court or bereavement.

· The school policy on attendance is strictly adhered to. DO NOT be late to class!

· Seats are assigned and attendance taken from assigned seats. They will change a few times a year. If anyone has a visual or auditory problem and needs to sit up front, please inform me immediately!

· If you know that you are not going to be in class due to a field trip or other pre-arranged event, you must inform me of that absence before it occurs. You are responsible for any work missed during that absence. Work due that day must then be handed in early!

· Homework assignments, test and quiz dates and project due dates are to be written in your assignment book.

· No sharing of calculators, equation sheets or notebooks will be permitted during tests, quizzes, or exams. School calculators will be used on all tests and exams.

· When you are absent from class, see me to obtain any work that you missed or to reschedule a quiz or a test.

· No hats are allowed to be worn in the classroom.

· No food, gum or beverages are allowed in the classroom.

· No cell phones, pagers or ipods are allowed in the classroom. They will be confiscated if seen in my classroom.

· All purses and backpacks are to be kept on the floor.