AP Calculus AB Mrs. Hunt Welcome to AP Calculus! This course teaches students to interpret data, graphs, and tables graphically, numerically, analytically, and verbally while grasping connections between them. You will communicate mathematical reasoning in all ways possible using graphing calculators. The following guidelines will acquaint you with the routine of the class and my expectations of the students. Materials Calculus Book Writing Utensils Math Notebook (3-ring) with subject dividers Graphing Calculator (TI-89 s will be checked out on a contract basis) Procedures 1. You are expected to attend class each day bringing all of the materials listed above. Attendance is crucial to success in any high-level math class. Because of the rigor of this course, attendance is extremely important. AP Attendance Policy: A Student enrolled in an AP class needs to have 90% attendance during the 1 st semester in order to have a test ordered. This equates to 10 class periods missed of an AP class during the 1 st semester, excused or unexcused. Students will be able to present hardship cases, and administration will communicate with the AP teacher in these circumstances. *Progress Monitoring happens during 1 st semester. If a student is out of compliance at semester and a hardship case is not presented, no exam will be ordered by AP Coordinator. Student will have option to stay in class to receive credit for AP course upon meeting requirements, or change out of AP course. 2. Students are expected to be in their seat ready to begin when the bell rings. Tardies come off of employability grade. 3. Homework will be assigned daily. The next day's homework will be checked for completion or a quiz will be given over the material, so it is very important to stay caught up on your assignments. It is the responsibility of the student to utilize the solutions manual to his/her benefit of understanding. 4. Employability skills grades will count for 20% of the quarter grade. The employability skills grade consists of unexcused absences, tardiness, being prepared for class, and cooperative participation in class. 5. Cheating of any kind will not be tolerated and will result in a zero for the assignment,
test, or quiz, no exceptions. 6. After school and before school help is available upon request by the student. Please let me know when you plan to come in so that I can be available. 7. All students in the class are required to take the AP exam in May. Any student who does not take the exam will not receive AP credit. Grading Procedures 20 % Employability Skills 20% Quizzes/Homework/Classwork 60% Unit Tests 25% Midterm/Final Exam: The above items constitute 75% of your grade. Each semester you will take a practice exam that follows the format of the AP that will count for your midterm or final exam grade. Make-up Work 1. If a student is absent, they are responsible for the work missed. They need to get the assignment and have completed by the next school day. Assignments that require a handout will be given 1 school day to complete. 2. If a student misses a test or quiz, he or she may make it up before or after school. An exact day will need to be arranged by the student with the teacher. All make-up quizzes and tests will be oral with a complete description of the material to the teacher. The student has until the end of that 9-weeks grading period to make-up any quiz or test, however I suggest a day or two. If the student fails to make up the test or quiz he or she will receive a zero. Course Outline Textbook: Calculus, Graphical, Numerical, Algebraic - Finney, Demana, Waits, Kennedy Homework: Students will be asked to verbally explain homework questions in class and in small groups. Students will be asked to demonstrate calculator skills while presenting answers. The assignments will consist of short practice problems and develop into extensive word problems that will prepare students for the extended response questions of the AP test. Quizzes: Periodically- about every other class meeting Tests: After every Chapter with the exception of Chapter 3 and Chapter 4, which are broken
into sections. Worksheets: Where you see (Worksheet) after a lesson is where you will turn in a worksheet with your already assigned homework. TESTS: The chapter tests are used to simulate an AP exam. This means you will have a number of multiple-choice questions with the calculator and without the calculator that deal with various functions and graphs. Also, you will have free response questions in which you will need to explain reasoning graphically, analytically, and with correct Calculus symbols and named units of measure. After each test is graded and given back, students may be assigned questions from the test to present to the class verbally. This will be a participation grade. First Semester: 1. Turn in, grade, and go over Summer packet 2. Review Pre-Calculus concepts, Trigonometry, and Functions 3. Chapter 1: Prerequisites for Calculus a. Linear Functions b. Graphs - learn calculator functions c. Exponential Functions d. Functions and Logarithms e. Trigonometric Functions 4. Chapter 2: Limits and Continuity a. Rate of Change b. Limits - use the graphing calculator to understand limits and their properties c. Continuity - students will be asked to verbally and graphically express continuities d. Tangent Lines - use the graphing calculator to plot points on a curve, find the secant line, and use the table to discuss what happens as the points gets closer 5. Chapter 3: Derivatives a. What is a derivative? -discovery exercise about slope - use the calculator to study graphs and verbally explain their properties b. Differentiability c. Product, Quotient, Power, Constant Rules d. TEST e. Velocity i. Analytical and graphical representation ii. Understand the connection with graphs in real world e. Derivatives of Trigonometric Functions (Worksheet) TEST f. Chain Rule - Video: DVD Calculus: eighth edition series g. Derivatives of Inverse Trigonometric Functions
TEST 6. Chapter 4: Applications of Derivatives a. Extreme Value Theorem b. Mean Value Theorem c. Graphs of f, f', and f (Worksheet) 1. Study the interpretation of each type of graph given ii. Find the connections between multi-derivative graphs and the function TEST d. Begin Optimization -Christmas box lesson - cut pieces into box in order to fit a sweater of maximum volume 7. Mid-term Exam -covers 1.1-4.3 - the mid-term will be a simulation of the AP test with multiple choice and free response questions - both with and without the calculator. Christmas Practice Packet -handed out after completion of mid-term - due January 4 th, 2010 Second Semester: 1. Turn in, grade, and go over Christmas Packet 2. Go over mid-term exam 3. Re-discuss layout of AP Calculus Exam for May 4. Chapter 4: Applications of Derivatives a. More on Optimization (Worksheet) b. Linearization c. Related Rates (Worksheet) - d. Project I: Data Collection of ladder heights. Presentation of collected 5. Chapter 5: The Definite Integral materials and findings graphically, numerically, analytically, and verbally are required. Interpreting the results of the activity using the graphing calculator is a part of the grade. TEST a. Estimating Finite Sums - LRAM, MRAM, RRAM i. Project II: Distance vs. Time - Collect data with partner and analyze the j. Definite Integrals distance versus time graph, explaining averages using LRAM, RRAM, and MRAM, graphically and numerically. k. Antiderivatives (Worksheet) l. Fundamental Theorem of Calculus m. Trapezoidal Rule 6. Chapter 6: Differential Equations and Mathematical Modeling a. Antiderivatives
b. Slope Fields c. Integration (Worksheet) d. Project III: Detectives Hat Function - Students will present a problem from the project to the class analytically and verbally. e. Integration by Parts (Video) f. Growth/Decay 7. Chapter 7: Applications of Definite Integrals a. Net change b. Areas (Apples Activity) c. Volumes (Spinner Activity) d. Lengths of Curves 8. Review for AP Calculus AB exam a. Use www.collegeboard.com practice multiple choice examples b. Practice free response examples and explain the calculator uses c. Study how the test is graded and practice grading 9. Mock Exam a. The mock exam will be given on a Saturday in April. You will know this date closer to April. b. This mock exam will be your final exam grade. c. We will go over, in detail, the exam afterwards. i. Study the FRQ's and how to explain in sentences and symbolically ii. Study the scoring guidelines of previous tests 10. AP Calculus AB exam a. Taken at school from 8:00-12:00 given at one time, attendance is mandatory. b. Date TBA: Week of May 2nd 6th Contacting Mrs. Hunt Mrs. Hunt can be reached at school by telephone at 423-8558 ext. 66155 or by email at: chrystal.hunt@sarasotacountyschools.net Please feel free to contact me anytime regarding progress in the course.