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Syllabus
Course Goals:
By successfully completing this course, students will learn the following skills: Work with functions represented in a variety of ways, graphically, numerically, analytically, and verbally, and understand the connections among these representations. Understand the meaning of the derivative in terms of a rate of change, and local linear approximation, and use derivatives to solve a variety of problems. Understand the relationship between the derivative and the definite integral. Communicate mathematics both orally and in well-written sentences to explain solutions to problems. Model a written description of a physical situation with a function, a differential equation, or an integral. Use technology to help solve problems, experiment, interpret results, and verify conclusions. Determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement. Develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment. · The graphical representations of the functions will be followed by an explanation (by the student) · Group work includes the students working on problems related to the topics described above. Each group then will present their findings. · Students will be asked to solve problems on the whiteboard as part of the class participation grade. As they are solving the problems, they will be asked to walk the class through the steps in order to strengthen vocabulary and verbal skills. · Graphing calculators will be used in class on daily bases to analyze the behavior of functions based on graphs and tables, find numerical approximations of integrals, find solutions to equations using numerical methods, etc… Required Materials: Text: Calculus Graphical, Numerical, Algebraic, 3rd AP Edition Calculator: TI-89, TI-Nspire, or TI-84 Extra Batteries: for the calculator (4 AAA) 3-Ring Binder or Spiral Notebook: For Homework and Classwork Composition Notebook: Students are required to take notes and keep them organized. AP Calculus Exam: Thursday, May 5, 2016 AP Calculus AB Exam Breakdown: Section I: Consists of 45 multiple-choice questions Part A: 28 questions- DOES NOT ALLOW THE USE OF A CALCULATOR. Part B: 17 questions- REQUIRES A GRAPHING CALCULATOR FOR SOME QUESTIONS. Section II: Consists of 6 Free-response problems Part A: 2 questions- REQUIRES A GRAPHING CALCULATOR Part B: 4 questions- DOES NOT ALLOW THE USE OF A CALCULATOR. AP Exam College Credit: Colleges vary in what score they will accept for credit. Generally a student needs to score at least a 4 for credit, but some schools will accept a 3. Check with the schools you are applying to for details. Grading: · Exams 60% o Tests 40% o Quizzes 20% (1 lowest score for the quiz is dropped) · Homework 20% (No late work) · Class Participation 20% |