Guidelines and Syllabus for AP Calculus BC LCHS
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1 Guidelines and Syllabus for AP Calculus BC LCHS Course Description: BC Calculus is equivalent to the first year (two semesters) of college calculus. The serious student will be prepared to take the Advanced Placement test in BC Calculus. The course reviews analytic geometry and limits. The theory and techniques of differentiation and integration of polynomial, trigonometric and all other transcendental functions are covered along with polar and parametric equations. Applications are included for both integration and differentiation as well as an extension of differential equations and sequences and series. Textbook: Calculus: Early Transcendentals by Anton, Bivens, and Davis, This course will cover Chapters 1-11 of the text. Instructor: Mrs. Cindy Calm website: ccalm.weebly.com Rm: 221 AP Examination: Tuesday morning, May 14, It is expected that all students will take this examination with the intent of doing their best. Calculator: A graphing calculator is required on the AP examination, and it is recommended that all students have their own calculator. The recommended graphing calculator is the TI-83 plus or TI 84 plus. Other graphing calculators are acceptable but will not be taught in class. Any calculator with a QUERTY keyboard is not acceptable on the AP examination or in the classroom. Usage of the calculator for any purpose other than scholarly will be considered a form of cheating, and the student will be referred to LCHS Student Court. On occasion students will use an LCHS graphing calculator on tests and quizzes. Grading: A semester grade will consist of the following: 10% from homework and classwork, 25% from quizzes, 45% from chapter tests, and 20% from the department semester exam. Letter Grade Policy: 90% - 100% A 79% % B 67% % C 55% % D 54.9% and below F Homework: All students must plan on having enough time to read, study, organize, practice, outline, and generally keep up with the class. Falling behind in either homework or studying will not spell success. Suggested homework will be given as per the chapter assignment sheets and always collected at the end of the week. Students must do at least five problems per assignment and it must be done thoughtfully and neatly. No one else is permitted to do homework for any student. Practice AP examination problems will be given throughout the year, some of which will be collected. In addition, students may be asked to complete a written reflection for homework which will be submitted through Google Classroom. The instructor will follow all current board policies on homework. Tests: It is imperative to show all meaningful work in order to earn full credit on both multiple choice and free response questions. The full class time will be allotted. It is expected that there will be no frivolous absences, only those of a serious illness or other legal absence. Make-up tests need to be arranged with the teacher upon return to school. The instructor will follow all current board policies on assessment. Quizzes: Quizzes will consist of AP style multiple choice or free response questions, short fill in the blanks, vocabulary, or formulas. Quizzes will be worth anywhere between 25 to 30 points and given on non-test weeks.
2 3-Ring Binders: Each student should keep a separate math binder. 5 divider tabs will be needed and labeled: Assignments and Homework, Notes and Handouts, CAPS and Quizzes, FRQs, and Tests. Binders will be graded each quarter for extra credit. Semester Exams: These are LCHS Math Department tests and are separate from the AP examination. Detailed information/practice packets will be available several weeks before the test dates. Citizenship and Academic Honesty Policy: Everyone begins with an S; O s are earned; N and U indicate teacher correcting your behavior. O must be earned: No truants or unexcused tardies per quarter; exceptional behavior. N no more than 1 truant or 3 unexcused tardies per quarter; behavior corrected once. U more than 1 truancy or 4 unexcused tardies per quarter; behavior frequently corrected; sleeping or playing TI or card games in class. The instructor will follow all current high school policies on academic honesty. Daily Required Materials: Textbook, binder, pencils, correction pens and erasers, graph paper (all graphs must be on graph paper!), calculator, and standard-sized paper for all assignments (no spiral fringe permitted). Standards of Mathematical Practice: During this academic year, you will continue to engage with the Standards of Mathematical Practice, be asked to practice structured student talk, and continue to justify your responses on assessments. This means that you will continue to work like Mathematicians do, seeking answers and solutions, but understanding that the correct answer is no longer the end point of your work in math, but rather the start. Particular emphasis will be placed on explaining why you chose the math operation you did and how you could apply this to real world applications. To this end, performance tasks that require you to employ your math learning will be essential. This will require to persevere in the face of math challenges and this disequilibrium is essential to growth as a student of math. You will be supported in your work and you are asked to bring an open mind, willingness to work hard, and share your thinking in class as we improve together our math confidence. a. Students will be working on core math idea(s) each day. b. Students will be presented with clear math tasks daily and be asked to identify and employ multiple pathways to achieve solutions. c. Students will use a variety of resources with increasing effectiveness to build their problem solving abilities. This includes the necessity of sharing their thinking with their peers. d. Students will be asked to employ knowledge gained from earlier math courses and will be supported in this work. No longer can students test and forget, but rather must continue to add to their body of math foundational skills. e. Students will be required to justify and explain why they selected the answer they did and disprove incorrect answers while balancing evaluation of the math strategies used to achieve that incorrect answer. Responsibilities and consequences regarding Chromebooks and Cell Phones: This class will take advantage of technology and media to aid our understanding of topics, to collaborate and communicate with others, and to critically think and problem solve. Students are expected to be responsible and respectful in their use of technology. Responsible, respectful technology students remember school accounts are archived and that there should be no expectation of privacy are conscientious about the effect of their technology use on those around them; are respectful of fellow students right to not be distracted in the classroom; are aware of appropriate classroom etiquette; monitor appropriate times for specific uses on devices; respect the daily learning goals of the class and the teacher s discretion of technology tool; understand that people who multitask have to spend more time completing tasks.
3 Please refer to the Technology Acceptable Use Policy, the Chromebook Handbook, and the school s Discipline Policy for specific inappropriate technology use. Inappropriate and/or disruptive uses of Chromebooks, mobile devices, or other technology will be noted and may affect your final grade. Consequences: First offense: Verbal warning from teacher. Student will discontinue use of device in the classroom for the remainder of the period. Second offense: Written warning to student and parent/guardian. Student will discontinue use of device in the classroom for the remainder of the week. Third offense: Student will be referred to Dr. Glazer s office. Helpful Hints: Plan your study time wisely. Don t put off studying at the last possible minute. Do your homework every night. Create a study group that meets regularly. Plan to work together or review or prepare for a test. Ask questions in class. Ask your teacher for help. This is a college level course and therefore it is expected that you act as such. Attendance is crucial for success, so please don t be absent. Sample Exam Questions: 1. Multiple Choice: : (a) 1 (b) 2 (c) ½ (d) 0 2. Multiple Choice. The minimum value of the slope of the curve is (a) 0 (b) 2 (c) 6 (d) Evaluate: 4. Find the average value of cos x over the interval. 5. Given the graph of f, determine where the graph of f has a relative maximum and justify why.
4 Welcome to Mrs. Calm s math class for the school year. Please read the guidelines and syllabus for your course. Have your parent/guardian also read the guidelines and have them sign the bottom portion of this page. Please return this form on or before Friday, September 7, Extra help is available before school, in class, or during STEP/Homeroom. Mrs. Calm I have read and understood and I agree to the guidelines for AP Calculus BC. Print student s name Student s signature Date I will support my student by encouraging consistent homework and preparation for all tests. Realizing the importance of class participation, I will also insist that my student attend class unless he/she is ill or on a school sponsored activity. Print parent/guardian s name Parent/guardian s signature Date
5 AP Calculus BC Week Dates Chapter & Topics Number Section First Aug Diagnostic Exam Quarter 2 Aug Ch. 2 Sec. 1, 2, 3 Limits and End Behavior Test Number 3 Aug Ch. 2 Sec. 5, 6 Limits of Trig Functions Quiz Continuity 4 Sept. 3 7 Ch. 3 Sec. 1, 2, 3 Rates of change Techniques of differentiation 5 Sept. 10 Ch. 3 Sec. 4, 5, 6 Derivative Rules #1(Block) 14 6 Sept. 17 Ch. 3 Sec. 7, 8 Related Rates 21 Local Linearization 7 Sept. 24 Ch. 4 Sec. 1, 2 Log and Inverse Functions 28 8 Oct. 1 5 Ch. 4 Sec. 3, 4, 5 Log, Exp, Inverse Trig #2 (Block) L Hopital s Rule 9 Oct Ch. 5 Sec. 1, 2 Analysis of Functions Second Oct Ch. 5 Sec. 3, 4 Rectilinear Motion Quarter Optimization 11 Oct Ch. 5 Sec. 5, 6 Absolute Extrema 12 Oct. 29 Ch. 5 Sec. 7, 8 Newton s & Mean Value Thm #3 (Block) Nov Nov. 5 9 Ch. 6 Sec. 1, 2 Area and Indefinite Integrals 14 Nov. 12 Ch. 6 Sec. 3, 4, 5 U-Substitution 16 Definite Integrals 15 Nov Ch. 6 Sec. 6, 7 FTC, Motion Revisited #4 (Block) 16 Dec. 3 7 Ch. 6 Sec. 8, 9 U-Sub with Definite Integrals Log Functions 17 Dec Review Bonus Test 18 Dec Semester st 21 Exams Third Jan Ch. 7 Sec. 1, 2 Area between curves Quarter Volumes 20 Jan Ch.7 Sec. 3, 4, 5 Volumes and Arc Length 2 day final 21 Jan Ch.8 Sec. 1, 2, 3 Overview of integration techniques #5 (Block) 22 Jan. 28 Feb. Ch. 8 Sec. 4, 5 Trig Rules 1 Partial Fractions, 23 Feb. 4 8 Ch. 8 Sec. 7, 8 Numerical Integration, Improper Integrals 24 Feb. 11 Ch. 9. Sec. 1, 2, 3 Differential Equations and Slope Fields #6 (Block) Feb Ch. 10 Sec. 2, 3 Sequences and Series 26 Feb. 25 Ch.10 Sec. 4, 5 Infinite Series and Convergence Test Mar Mar. 4 8 Ch.10 Sec. 6, 7 Comparison, Root, Ratio, and Alternating Series Tests 28 Mar. 11 Ch.10 Sec.,1, 8 Maclaurin and Taylor Polynomials and 15 Series Fourth Mar. 18 Ch10 Sec. 9, 10 Convergence, Modeling with Taylor Series Quarter Mar Ch. 11. Sec. 1, 2 Polar Coordinates, Tangent Lines and Arc Length 31 Apr Ch. 11 Sec. 3 Area and Polar Coordinates #7 (Block) #8 (Block) 32 Apr Supplemental Vector Calculus Bonus Test
6 33 Apr Review 34 Apr. 29 Review May 3 35 May 6 10 AP Exams 2 day semester exam 36 May AP Exams May 14, May AP Reflections 38 May Senior Final Exams 39 June 3-7 Final Exams
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