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PRECALCULUS 1A

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Dear Parents/Guardians:<br />

CALCULUS CONCEPTS<br />

COURSE SYLLABUS<br />

It is my pleasure to have your child in my class. I believe if we work together we can all be successful<br />

this year. Therefore I have attached a list of classroom expectations and an overview of my grading<br />

policy so we can work together to make this year enlightening and full of discovery. I have also shared<br />

my expectations and grading policy with your child today in class.<br />

I am sure we all recognize the importance of focusing on schoolwork in order to complete any course<br />

with success. I hope you can take a moment to read these expectations and share any feelings or<br />

questions with your child and/or me. Please feel free to contact me with any questions about your<br />

child's progress or any questions in general. Please reach me through email, cavalos@oprfhs.org, or<br />

phone number 434-3351 before 8:00 a.m. or after 3:04 p.m.<br />

In order for me to contact you, please provide me with the following information. Also, please indicate<br />

what method you prefer for me to use in order to contact you. Print your information clearly and sign in<br />

the appropriate place, indicating that you have read this material. Have your child return this page to<br />

me as soon as possible.<br />

Thank you,<br />

Ms. Carmen Avalos<br />

(Please return only the bottom information and keep the top information for your records.)<br />

(Please print)<br />

Student<br />

name:<br />

Parents/Guardians:<br />

Father:<br />

Mother:<br />

(home phone) (work/cell phone) (email)<br />

Preferred method of contact:<br />

Student signature:<br />

(home phone) (work/cell phone) (email)<br />

Preferred method of contact:<br />

Parent signature:<br />

Comments:<br />

______________________________________________________________________________________<br />

______________________________________________________________________________________


WELCOME TO CALCULUS CONCEPTS<br />

COURSE SYLLABUS<br />

MS. AVALOS<br />

COURSE OUTLINE: Designed for students who wish to continue on a calculus pathway. First<br />

semester focuses on topics leading to the larger calculus concepts with an<br />

emphasis on the library of functions from a calculus point of view. Second<br />

semester focuses on the derivative, one of the key concepts in calculus. A<br />

graphing calculator is required.<br />

COURSE TEXTS:<br />

CALCULUS SINGLE VARIABLE 4 th EDITION and Study Guides<br />

This class represents a cooperative effort: each of us has a job to do to insure that learning takes<br />

place. As the teacher, it is my job to plan lessons, write exams and quizzes, provide extra help the<br />

students need, and grade tests promptly. As the student, it is your responsibility to come to class<br />

each day ready to learn. That means you should be prepared with necessary materials and<br />

homework.<br />

Supplies:<br />

Homework:<br />

Large spiral notebook that will be used ONLY for math, at least 2 pencils and eraser<br />

(tests must be taken in pencil or will deduct 5 points from the test score),<br />

pocket folder for handouts, homework and tests, and a graphing calculator!<br />

Homework is assigned daily. Please follow the assignment sheet that is given with every unit study<br />

guide. Write down and attempt every problem before you come to class and correct all mistakes<br />

immediately when we go over it in class. All homework from the text book should be done in your<br />

notebook. Label each homework with the corresponding assignment number and make sure it is large<br />

enough to stand out from the rest of the work. Each homework assignment is worth 2 points, 1 point<br />

if turned in late. Homework is not graded for accuracy. If 95% of it is done or attempted then you<br />

will receive full credit otherwise you can turn it in the NEXT day only for half credit.<br />

Skyward and Homework: On skyward there will be a range of dates where homework was due<br />

and total possible points that could have been achieved. Your total points will reflect on where you<br />

turn in your homework , turned it in late or did not turn it in. If you received 7/10 that means you did<br />

not turn in all your homework in on time for some days. For specifics assignment numbers and dates<br />

please contact me.<br />

Late assignments will not be accepted for full credit and will not be accepted at all after 2 days,<br />

unless you were sick (in that case you have 1 day for each day absent to do make up work).<br />

Homework is mainly good for studying for tests. Some homework problems often reappear on tests<br />

after the material has been covered and tested. It is therefore highly recommended to keep all study<br />

guides and homework to review previous material that could appear on the current test. Homework<br />

counts for approximately 30% of 9 week grade.<br />

Parents:<br />

Notes:<br />

Grading:<br />

Please know that homework is given every day. Ask your son/daughter to see their completed<br />

assignment occasionally, if not daily. They will be giving an assignment sheet at the beginning of each<br />

chapter. Please contact me through email or phone for information about your child’s<br />

progress when needed.<br />

Notes should always be taken in your math notebook. They should be dated and contain everything I<br />

write on the board or through the overhead projector. Notes should also include any sample problems<br />

done in class.<br />

Grades are based mostly on tests ( 70%) and homework (including projects) ( 30%). Cutoffs for<br />

each grade are percents - A(90%) B(80%) C(70%) D(60%) F(below 60%). You can compute your<br />

grade by dividing your points by the possible points.


Absences:<br />

Extra Help:<br />

CAT or CATA<br />

Students:<br />

Helpful<br />

Hints:<br />

ETC:<br />

Common<br />

Sense:<br />

If you have any absences that you know about in advance (for example, field trips, funerals, court<br />

dates. etc.), you must tell me beforehand. In any case, it is your responsibility to find out what<br />

you missed, and make arrangements for making up missed tests and quizzes. You have one day for<br />

each day absent to make up all missed tests and quizzes. (Example: if you are absent 3<br />

days, you have 3 school days to make up all work. Tests and quizzes not taken in those 3<br />

days count as zero.) Also, if you miss a quiz or test due to an unexcused absence, then the quiz or<br />

test automatically becomes a zero. You will not be eligible for any extra tutoring, turning in homework,<br />

making up any test or quiz if your absence is unexcused. The school’s tardy and attendance policy will<br />

be followed at all times.<br />

I will be available for tutoring by appointment after school on a daily basis. Tutoring is also<br />

available all periods in room 393.<br />

Be prepare to work extremely hard. This course has three levels of students, Pre-Calculus, College<br />

Algebra Trig Advanced and College Algebra Trig. Concepts might come easier for those students that<br />

have taken the advanced courses. Even though math came easy to you before, it will be more difficult<br />

in this course because of the rate that material is covered and the depth of the understanding that is<br />

expected of material cover in the previous year.<br />

Review your notes before starting your homework. Your homework is your practice time. Use a pencil.<br />

Complete all the problems. Stay on schedule. Ask questions in class especially concerning your<br />

homework. Find a study buddy. It helps to talk about the homework problems. Be respectful,<br />

courteous, and considerate of your classmates. Only one person can speak and be heard at a time.<br />

Raise your hand if you want to participate. Be prepared to practice a lot. While you will continue to<br />

work on basic mathematics in algebra, you will also be required to analyze more application-based<br />

problems than you have in any previous math course. Enjoy yourself…math is FUN!<br />

Expect a cumulative exam approximately every two weeks.<br />

Do not ask to be excused from an exam the day of the exam.<br />

Cutting class on the day of the exam will result in a grade of zero on that exam.<br />

Cheating on test or quizzes will result in a grade of zero for that assessment.<br />

Don’t be late.<br />

Visit the nurse before or after class.<br />

Food and water is not allowed in class.<br />

Incomplete homework will never be given credit. Skipping graphs would be an example of incomplete<br />

work.<br />

Sloppy work is equivalent to incomplete work. If I can’t read your writing, then print or type.<br />

I seldom give out bathroom passes.<br />

Homework is due at the beginning of class on the due date.<br />

Do not tell me that you did not do your homework because you did not have a calculator.<br />

Keep track of your own grades.<br />

If you take a vacation, you must keep up to date.<br />

Crying is not an effective strategy for successful negotiation.<br />

Smiling is an effective strategy!<br />

It seems that “common sense” is far from common, so I will spell out a few rules. Certain objects have no<br />

business being brought into this (or any) classroom. Examples include, but are not limited to, liquids of any type,<br />

cosmetics, toys of any type, food, candy, etc., and items that violate school rules such as IPODs, cell phones,<br />

jackets, etc. In general, anything that is not needed for class probably does not belong.<br />

As I need to walk around the room, to check homework and offer help, you are to put book bags UNDER your<br />

desks and NOT next to it. Under NO circumstances should your book bag be taking up space ON your desk –<br />

you need that space to take notes on homework or for in-class work. Throwing anything, anytime, anywhere<br />

during class is always a “no no”. Do not leave your desk, except to sharpen your pencil (and then choose your<br />

time carefully). There is a time for talking and a time for listening; if you’re not sure which is which, try listening.


Academic<br />

Integrity:<br />

Classroom<br />

Rules:<br />

Working together on HW and projects where appropriate is strongly encouraged. However, copying<br />

other people’s work is prohibited. If you copy from another student or any other source (or allow a<br />

student to copy your work), you will receive a zero for the assignment and will not be permitted to<br />

redo the assignment. If you are quoting or paraphrasing from an outside source for a project or<br />

paper, be sure to cite the source appropriately.<br />

Cell phone use during any assessment results in an automatic zero on that assessment. You will be<br />

asked to take out, turn off, and place your cell phone on your desk during any assessment. You<br />

cannot use your cell phone as a calculator during class as your TI-84 serves this purpose.<br />

TOPICS COVERED IN CALCULUS CONCEPTS 1-2A<br />

SEMESTER ONE<br />

I. Functions in Calculus<br />

A. Functions, Calculus Style<br />

B. Transformation of Graphs<br />

C. Calculator Graphs<br />

D. What is a function?<br />

E. Composite and Inverse Functions<br />

F. Attributes of Even and Odd Functions<br />

G. Modeling with elementary functions<br />

II.<br />

More on functions<br />

A. Functions and change<br />

B. Exponential functions<br />

C. Piecewise Functions<br />

D. Logarithmic functions<br />

E. Trigonometric functions<br />

F. Powers<br />

G. Polynomials and End Behavior<br />

H. Rational Functions and Asymptotes<br />

III. Limits<br />

A. Introduction to continuity<br />

B. Graphical limits<br />

C. Numerical limits<br />

D. Analytical limits<br />

IV. The Slope Function<br />

A. How do we measure speed?<br />

B. Instantaneous Velocity<br />

C. How do we calculate distance?<br />

D. Riemann Sums<br />

E. Local Linearity<br />

SEMESTER TWO<br />

V. Short-cuts to differentiation<br />

A. Powers and polynomials<br />

B. The exponential function<br />

C. The product and quotient rule<br />

D. The chain rule<br />

E. The trigonometric functions<br />

F. The chain rule and inverse functions<br />

G. Implicit functions<br />

H. Linear approximation and the derivative<br />

VI. Using the derivative<br />

A. Using first and second derivatives<br />

B. Families of curves<br />

C. Optimization<br />

D. Applications to marginality<br />

E. Optimization and modeling<br />

F. Rates and related rates<br />

G. Differentiability<br />

VII. The definite integral<br />

A. Area between curves<br />

B. The definite integral<br />

C. The fundamental theorem and interpretations<br />

D. More on definite integrals<br />

VIII.Constructing Antiderivatives<br />

A. Antiderivatives graphically and numerically<br />

B. Constructing antiderivatives analytically<br />

C. Differential equations<br />

D. Second fundamental theorem of calculus<br />

E. Integration by substitution

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