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1 ANDRE AGASSI COLLEGE PREPARATORY ACADEMY Course: AP Calculus Instructor: WT Council Room: 463 Email: [email protected] Phone Number: EXT 2380 The essence of good discipline is RESPECT. Respect for authority and respect for others; Respect for self and respect for rules. It is an attitude that begins at home, is reinforced in school, and is applied throughout life. 7 Non-Negotiables: Respect ALL No electronics during instructional time or during passing periods. No food/drinks (except water) in the building or classrooms. No loitering and loud talking o No standing on the walls or staircases o Students are not allowed in an unsupervised classroom Students must leave classrooms with an official pass. Students must follow dress code policies. Students must exit the campus immediately afterschool. Course Description: The Advanced Placement Calculus AB course follows the Advanced Placement curriculum as set forth by the College Board. Course study Disclaimer: This syllabus is subject to change should unanticipated events merit it. Respect for authority is shown by . . . Listening carefully and quietly. Being on time, prepared, and ready to learn. Accepting personal responsibility for your actions. Respect for others is shown by . . . Communicating in a polite, supportive and friendly manner Taking into account the needs and feelings of others as well as your own. Allowing others to enjoy their personal space and property. Respect for self is shown by . . . Using proper dress and language. Behaving safely. Keeping your word.

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Page 1: THERON L - 2.files.edl.io  · Web viewKeeping your word. Respect for rules is shown by . . . Obeying the policies of Agassi Prep and individual classrooms. Considering the spirit

1

ANDRE AGASSI COLLEGE PREPARATORY ACADEMY

Course: AP Calculus

Instructor: WT Council

Room: 463

Email: [email protected]

Phone Number: EXT 2380

The essence of good discipline is RESPECT.Respect for authority and respect for others; Respect for self and respect for rules.It is an attitude that begins at home, is reinforced in school, and is applied throughout life.

7 Non-Negotiables: Respect ALL No electronics during instructional time or during

passing periods. No food/drinks (except water) in the building or

classrooms. No loitering and loud talking

o No standing on the walls or staircaseso Students are not allowed in an

unsupervised classroom Students must leave classrooms with an official pass. Students must follow dress code policies. Students must exit the campus immediately

afterschool.

Course Description: The Advanced Placement Calculus AB course follows the Advanced Placement curriculum as set forth by the College Board. Course study will include properties of functions, limits, differential calculus, and integral calculus.

The purpose of this course is to prepare students for the Advanced Placement examination in Calculus given in May by the College Board. All students shall be prepared for the AB exam. Students will develop skills in initial content of both differential and integral calculus. Topics include a broad spectrum of first semester calculus materials necessary to prepare students for any college calculus course that includes limits, continuity, derivatives, applications, and integration up through substitution. Also students study formal definitions of limits, derivative, and Riemann integrals, and the Fundamental Theorem of Calculus.

Disclaimer: This syllabus is subject to change should unanticipated events merit it.

Respect for authority is shown by . . .Listening carefully and quietly.Being on time, prepared, and ready to learn.Accepting personal responsibility for your actions.

Respect for others is shown by . . .Communicating in a polite, supportive and friendly mannerTaking into account the needs and feelings of others as well as your own.Allowing others to enjoy their personal space and property.

Respect for self is shown by . . .Using proper dress and language.Behaving safely. Keeping your word.

Respect for rules is shown by . . . Obeying the policies of Agassi Prep and individual classrooms.Considering the spirit of a rule in making decisions.

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ANDRE AGASSI COLLEGE PREPARATORY ACADEMY

Textbook Information: Calculus AP Edition, 9th Edition (Larson/Edwards): ISBN:9780547212890 Price to replace a textbook: $194.51

Required Materials: First and Second Semester: Text: Calculus AP Edition, 9th Edition Notebook (composition book) Pencils 3-Ring Binder

Overall Course Objectives

1. Analyze graphs, find function limits, describe asymptotic and unbounded behavior, and exploit continuity, verbally and convincingly.

2. Find/compute and use derivatives graphically, numerically, and analytically; at a point; of basic functions; for rates, slopes, concavity, other common applications; implicitly.

3. Find/compute and use integrals graphically, numerically, and analytically; as Riemann sums; to model situations; apply initial conditions; and solve separable differential equations

4. Apply the theory of integrals to solve various application problems dealing with the area of a region between two curves.

5. Use technology, as a means of discovery, to reinforce concepts, and as an efficient problem-solving tool to complete given projects.

*For more details see the College Board Course Description at: http://www.collegeboard.com

This is an AP class. All students are expected to take this class seriously. Students will be expected to complete several hours of HW per week. It is imperative students complete all assignments. Students who choose to show up to class without the required work completed will be assigned a zero.

Statement on the AP EXAM format

The duration of each AB Calculus examination is 3 hours and 15 minutes. Section I consists of multiple-choice questions, and Section II consists of free response questions. The two sections receive equal weight in the grading, and each of the two sections is further divided into a Part A and a Part B.

Part A of Section 1 has 28 multiple-choice questions to be completed in 55 minutes, and does not allow students to use calculators.

Part B of Section 1 requires a graphing calculator and consists of 17 questions to be completed in 50 minutes.Each of Parts A and B of Section II lasts 45 minutes and each consist of 3 free response problems. Calculators are allowed only for Part A. During the time allotted for Part B, students may continue to work on Part A questions, but without a calculator. Not all of the questions in the parts of the test that allow calculators necessarily require their use, but some do.

Disclaimer: This syllabus is subject to change should unanticipated events merit it.

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ANDRE AGASSI COLLEGE PREPARATORY ACADEMY

CALCULATOR:

It is expected that you bring a graphing calculator (TI-84 or equivalent) to class with you every day.

GRADED ASSIGNMENTS AND ASSESSMENTSThere will be Formative Exams (quizzes and any tests after a particular unit), Summative Exams (Tests that occur every 2 weeks) and Quarter Exams (A cumulative exam at the end of each quarter). Partial credit will be given where work is shown and whenever appropriate. There will also be 1 project per semester to culminate the POL Presentation. Daily/Weekly quizzes assigned during the course. Exams constitute 42% of your grade; quizzes 33%; homework/chapter assignments, 20%; projects, 5%. Academic honesty, as defined in the Student Handbook, is expected of all students.

There will be NO extra credit projects nor are there special projects which students may complete to bring up their averages. Focus on completing the assignments given as those are the graded assignments. So, PLEASE, do not tell me how much you "need to pass this course with a C." You control your performance in this course. You know what the requirements are for the course and I do not deviate from them. Do what you need to do to earn the grade you "need."

COURSE POLICIES:

INSTRUCTIONAL METHODS

In this course the instructor will present the material through lecture and mixed media. Students are expected to take notes, complete their own work individually; or in groups when assigned.

Students are also expected to participate in written assignments and discussions in class.

ATTENDANCE

Attendance is taken at the beginning and ending of every class.It is the student’s responsibility to communicate any absences with the instructor. Absences and Failure to follow any of the class expectations will result in loss of participation points.

• To be successful you must pay attention in class and take good notes.• To be successful you must do your own work and hand it in on time.• To be successful you must put forth an effort.• To be successful you must BE IN SCHOOL!

PLAGIARISM

Plagiarism includes any kind of cheating, such as copying another person’s paper, claiming another author’s work as your own, copying during an exam, and allowing someone else to copy your work. The very least that can happen to you if you are caught, is an “F” for the assignment. See your Student Handbook for specific consequences.

FAQ’S QUIZZES/TESTS will be given during each unit, as the teacher feels necessary. There may be extra credit assignments as the class progresses. You are graded daily on your participation and performance.

No food or drinks are consumed in the mathematics classroom.

CALCULUS TIPS

There are three main facets to being a successful calculus student: You must be good at algebra skills. It is not enough to have passed algebra; you must also

remember what you learned! Memorization of computational patterns is not enough. In calculus it is quite necessary to pay

attention and learn the concepts in order to apply them. You must be dedicated to study. Take notes. Above all, practice lots of problems, without which

those concepts will not be reinforced and learned.

Disclaimer: This syllabus is subject to change should unanticipated events merit it.

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ANDRE AGASSI COLLEGE PREPARATORY ACADEMY

COURSE POLICIES:

EXPECTATIONS

I expect each student to take responsibility for his or her own learning. I am available before/after school and during lunch if you let me know you would like to come in for extra help. In addition to the school policies in the Student Handbook, the following classroom policies are in effect:

bring all materials to class & keep all papers in your binder, not in your textbook

take meaningful notes during class be ready to begin the lesson when the bell rings maintain an attitude and atmosphere conducive to learning ALL written work must be submitted in PENCIL

LATE WORK POLICY

Late work is not tolerated or accepted in this class. Homework is collected at various times each class period. If homework has been collected and a student is late to class without a pass, the student’s homework will not be accepted. Thus, it is important to get to class on time. If students are absent from class and their absence is not excused, homework will also NOT be accepted late.

For excused absences, students have until THE NEXT CLASS PERIOD to turn in that homework. For example: if a student is absent on Monday, they have until the next time they see that teacher (which is Wednesday) to complete and turn in that work. Homework will be posted and can be accessed on the AACPA website.

If a student is absent for MORE THAN TWO DAYS, they are required to meet with their teacher for each class missed to schedule a time to complete that work. Since we are on a block schedule, it is imperative that students do not miss class since each class now covers twice as much content.

GRADING

Participation/DemeanorHomework/Do Now’s

QuizzesAssessments

Total

15%25%20%40%

100%

Grading Scale90 – 100 A89 – 80 B79 – 70 C69 – 60 D59 – 31 F

30F

Minimum Fail

20

FMissing Work

No Effort

0

FTrue ZERO (Cheating)

Semester grades will be based on the following formulas: Quarter 1 grade (45%) + Quarter 2 grade (45%) + Semester 1 exam (10%) = Semester 1 grade

Quarter 3 grade (45%) + Quarter 4 grade (45%) + Semester 2 exam (10%) = Semester 2 grade

Disclaimer: This syllabus is subject to change should unanticipated events merit it.

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ANDRE AGASSI COLLEGE PREPARATORY ACADEMY

Topic OutlinePERFORMANCE

OBJECTIVE AREAS

Major topics:Functions, limits, continuity, differentiation, curve sketching, maximization and minimization problems for functions of one variable. Differential techniques; application of derivatives.

SEMESTER 1

Topics of Study:(Chapter 1)Definition of Limit and its Properties – Finding limits graphically & numerically; definition of limit; evaluating limits analyticallyLimits Involving Infinity – including end behavior models and asymptotesContinuity – including types of discontinuityThe Intermediate Value TheoremRates of Change – emphasizing the difference between average and instantaneous rates of change; an introduction to derivatives through graphical and numerical approaches to instantaneous rates of change

(Chapter 2)Differentiation Rules: Power Rule, Product Rule, Chain Rule; Composite RuleDifferentiation of Trigonometric FunctionsDifferentiation of Inverse Trigonometric FunctionsImplicit DifferentiationDerivatives of inverse trigonometric functionsDifferentiation of logarithmic and exponential functionsDefinition – including variations, one-sided derivatives, and graphing techniquesDifferentiability – when derivatives exist and do not exist; how the calculator finds derivatives; differentiability implies continuityDifferentiation Rules [second and higher order derivatives]

(Chapter 3)Applications of DerivativesFinding ExtremaRolle’s Theorem/Mean Value TheoremThe First Derivative TestConcavity (The Second Derivative Test)Related RatesLimits at InfinitySketching Curves using DerivativesOptimization ApplicationsDifferentialsL'Hôpital's Rule (Chapter 8.7)

Semester Exam: TBD

Disclaimer: This syllabus is subject to change should unanticipated events merit it.

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ANDRE AGASSI COLLEGE PREPARATORY ACADEMY

Topic Outline

PERFORMANCE OBJECTIVE AREAS

Major topics:Maximization and minimization problems for functions of one variable, the Riemann integral and Antiderivatives (integrals); logarithmic and exponential functions; application of derivatives; curve sketching; integration and applications.

SEMESTER 2

Topics of Study:(Chapter 4)IntegrationArea under a GraphAntiderivatives & IntegralsProperties of Definite IntegralsDefinite Integrals – basic properties, notationsRiemann SumsAverage ValueFundamental Theorem of CalculusTrapezoidal Rule & Simpson’s Rule

(Chapter 5)Natural Logarithm: Differentiation/IntegrationInverse Functions: Differentiation/IntegrationExponential Functions: Differentiation/IntegrationInverse Trigonometric Function: Differentiation/IntegrationDefinite Integrals – basic properties, notations

(Chapter 6)Differential EquationsSlope FieldsExponential Growth and Decay

(Chapter 7)Area Between Curves and Enclosed by CurvesVolume – including discs, washers, shells, and cross-sectional slicesApplication of the Integral in Science and Industry: Particle motion

(Chapter 8)Integration by PartsAreas in the planeTrigonometric Substitution

Final Exams: TBD

Disclaimer: This syllabus is subject to change should unanticipated events merit it.

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ANDRE AGASSI COLLEGE PREPARATORY ACADEMY

Working Contract

The relationship of the student and the Instructor will be a symbiotic relationship in this course. Therefore, I have created an environment where the learner is empowered to seek knowledge and strive for excellence. Additionally, student work performance will ultimately determine the final grade each student receives. Therefore:

As the instructor, I will perform the following:1. Provide a safe comfortable environment for my students.2. Provide ample time for my students to receive extra help.3. Enforce school rules consistently.4. Provide students with clear and concise expectations.5. Have grades accessible regularly online.

As a learner, the student will:1. Be respectful to my classmates.2. Put my best effort into my schoolwork.3. Obey all rules both at home and at school.4. Come prepared to school with homework and materials.5. Spend at least 35 minutes a day studying for each subject.

And, as the guardian, the parent(s) will:1. Provide a home environment that encourages learning,2. Communicate regularly with the instructor,3. Adhere to AACPA School Policies.4. Commit to attend parent-teacher conferences.5. Regularly support school events.

I _________________________ have read, understood and received a copy of this policy for the AP Calculus course.

STUDENT Signature__________________________________________

PARENT Signature____________________________Phone ______________

Date ____________________

Instructor_________________________________________

Disclaimer: This syllabus is subject to change should unanticipated events merit it.