Pre-Calculus
Daily assignments follow the "Curriculum Paper" below.
Click here to go right to the Pre-Calculus assignments.
Pre-Calculus Assignments
Paxon School for Advanced Studies
2007-2008
Pre Calculus
Mrs. Banks
Course Description:
Success in college level mathematics (including calculus) begins with a good understanding of algebra and trigonometry. The goal of this course is to develop this understanding. Although we review some of the basic concepts developed in algebra, we assume that students in this course have an exemplary background of two years of algebra and one year of geometry. Examples, exercises and activities provide a real-life context to help students grasp mathematical concepts. Technology is utilized throughout the course.
These are the topics we will cover in Pre-Calculus as
determined by the Duval County Schools.
1. Polynomial and Rational Functions
2. Exponential and Logarithmic Functions
3. Basic Conics
4. Circular and Trigonometric Functions
5. Trigonometric Identities
6. Oblique Triangles
7. Vectors
8. Parametric and Polar Equations
9. Partial Sums
10. Introduction to Calculus
Course Format:
This class meets every other day for the entire school year.
Text & supplemental materials:
Precalculus, Sixth edition, by Larson and Hostetler, Houghton Mifflin Company
Required Materials:
Students will be required to bring to class daily:
Textbook
Notebook (preferably a three ring binder)
Paper
Pencil
Calculator (TI 83 or TI 84 preferred)
Grading Procedures:
The policies described below may be modified as needed to meet student needs. When a modification is made, students will be notified and online copies of this document will be updated.
Grades will be based on Tests, Homework, and Quizzes
All assignments are given a point value. Final averages will be determined by dividing points earned by points possible. For example, if you have earned 1020 points out of a possible 1200 points, your grade would be 1020/1200, which is equal to .85, or 85%. We will use the county grading scale of A 90-100, B 80-89, C 70-79, D 60-69, F below 60.
Tests:
You will be given several tests during the 9-Weeks. These tests will cover several sections or whole chapters in the book and will be announced in plenty of time to prepare. Tests dates and assignments can be found on www.schoolnotes.com . Tests will usually count 100 points.
If you are absent only one day before a test, you will take the test with the class.
If you are absent the day of the test or have missed too many days previous to the test, you will make up the test during the next class period or at a regularly scheduled tutoring session if one is offered in time. The missing test must be made up before the other students’ test papers have been returned, and that is usually within one or two days. If it is not made up in time, see the next paragraph.
There will be a 9-WEEKS TEST that will count twice, once as a regular test, and again (if you have taken all tests on time) as a replacement for your lowest previous test grade (if this helps your average). If you have missed a test, the 9-WEEKS TEST grade will count in its place, since that 0 will be your lowest previous test grade. If you miss more than one test, then you will take a special make up exam that will be announced at the appropriate time.
Homework/Classwork:
You will have daily assignments that will carry over from class to home. These assignments must be completed each day, as you will be constantly building more techniques, concepts, skills based on these assignments. DO NOT neglect this work. DO NOT just copy it from another source. You may work with each other and share ideas and techniques, but you will be held accountable individually at test time. These assignments are to be completed before the beginning of the next class and will usually count 5 points each. There will be deductions for incomplete papers and for those problems where not enough steps are shown. If you are absent the day a homework assignment is due, you must turn it in the day you return. If you are absent the day homework is assigned, it is your responsibility to get the assignment and turn it in according to the “day for a day” policy. All assignments are posted on www.schoolnotes.com , so there is no reason to get behind in your work.
Quizzes: You may have several quizzes that may or may not be announced. These quizzes are given to check your understanding of the developing lesson, and the number of points will vary. Quizzes will not be made up, as we will drop some of the lowest or missing quiz grades before averages are done.
Grade Log: Students will be given a “Grade Log” to keep track of their progress. This log must be kept up-to-date. There is no need to ask the teacher for your grade, as you will always know what it is.
Grade Recovery:
If a student makes a D or F for the 9-weeks average, but made a continuous “good-faith” effort during that quarter, he may be eligible for grade recovery. A “good faith” effort would involve completing 90% of the assignments satisfactorily and on time, and going to tutoring for extra help. Grade recovery for Pre-Calculus will consist of one (one time, one chance, only) comprehensive test on the specific topics from that 9-weeks. The student will be notified of eligibility and will be given the day and time of this test. The test is usually given during the 5th or 6th week of the following quarter. The study guide for the recovery test will be the same as the review for the 9-weeks test, unless otherwise noted.
The grade recovery test will replace the lowest grade of the 9-weeks, and a new average will be formulated. The letter grade will then be determined by the county grading scale.
Attendance:
Being in class is essential to learning. I expect you to be in your seat when the bell rings. In order to earn a passing quarter grade in a course, it is county policy that any student who misses more than four classes, not including school-related absences, will be required to pass a comprehensive quarter exam or project (our 9WEEKS TEST) in addition to having an overall passing grade for the quarter. A student must be in class for at least half the period to be considered present.
HELP:
Tutoring is available from me on Tuesday morning from 7:30am to 8:00am, and on Thursday after school from 3:30pm to 4:00pm. Other times may be available by appointment. Tutoring is for those students who do their assignments on time and who participate in all class activities and discussions.
Conferences: Parents/guardians can send me an e-mail at banksi@duvalschools.org , or call guidance at 693-7583 to schedule a conference or leave a message for me to return a phone call as soon as possible.
Cheating: Cheating will not be tolerated! Giving or receiving help on tests or quizzes or copying homework is cheating. This will result in an automatic zero for the assignment as well as a referral to the dean. Sharing calculators during tests/quizzes will not be allowed and is considered giving help.
Student Integrity and Decorum: It is the responsibility of the student to be an active participant in the learning process and to uphold the academic integrity policy. All work turned in by a student should be his/her own. It is also expected that students behave according to and adhere to the Code of Student Conduct.
PRE-CALCULUS ASSIGNMENTS
08/18,19 Pre-Test and
page A8 3,5,23,27,29-39 odd,
45,49,55,57,73,75,77,88,89,91,99,103-
108 all,117,118
page A20 14,15,21,23,24,27,31,33,37,39,41
08/20-22 No School due to Tropical Storm Fay
08/25,26 page A20 55,57,65,71,78,79,81,85,
87,89,91,97,99,101,107,109
page A31 13,15,17,19,27,37,39,43,49,51,
59,69,71,73,75,80,83,87,89,91,95,
97,103,107,113,115,119,125,133,
134,141,143,149,153,159,173,175
08/27-28 page A43 1-8 all,9-17 odd,23,31,33,
37-49 odd,53-57 odd,63,65,69
page A55 7,9,17,19,21,24,29,31,35,37,
38,39,43,45,55,57,61,63,64,65,69,71,
75,77,83,87
08/29-9/2 page A55 95,97,101,107,115,119,153,
157-163 odd,169,175,179,181
page A67 4,5,7-12 all,15,25,33,37,39,
45-59 odd,69,73,75-82 all,85,91-119 odd,
125,131,133,139-159 EOodd,165
9/3,4 Review Chapter A 1-4 for BIG Quiz on 9/5,8
One more topic from ch A: P A86 39,41,43,45
Start Chapter 1 p9 3,7,9,13,15,17,21,
25,27,49,57,61,63,69,71,77
9/5,8 BIG Quiz 1 on Chapter A sections 1-4
Review Chapter A sections 5,6,part of 8
for BIG Quiz 2 on 9/11,12
Continue Chapter 1: P21 1,3,11,15,17,19,21,
23,29,33,39,41,45,55,57,61,63,
67,69,77,87,88,93
9/9,10 More Review for Big Quiz 2 Chapter A5,6,8
p35 1,3,7,9,11,13,15,21,33,39,41,
45,55,57,61,63,67,69,77,87,88,93
p47 1-23 odd,31,35,37,53,55,57,61-67
9/11,12 BIG Quiz 2 on Chapter A sect 5,6,8(Part)
p56 3,23,29,33,39,43-49 odd,53-62 all
p64 5,9,11,13-19 all,21-29 odd,33,39-49 odd
9/15,16 p74 5,9,11,13,17,19,23,25,35,36,37,39,41,43,
45,47,49,51,53,55,69
p83 1,2,3,4,15,18,25,26,27,29-32,41,47,51,
53,61,69
9/17,18 p93 27,31-40,47-61 odd,62
AND REVIEW for a test on chapter 1 on 9/19,22
9/19,22 TEST on Chapter 1
9/23,24 p116 1-101 EOodd, 23,27,31,43,63
9/25,26 p130 1-8 all,9-77 EOodd,74,76,79,80,89
9/29,30 p140 7,11,15,16,21,25,31,35,37,39,41,45,
49,51,53,57,59,63,67,73
AND review ch2 sections 1,2 for test
10/1,2 TEST Chapter 2, sections 1,2
p160 5-69 EOodd,59,63,71
10/3,6 p148 1-85 EO odd,83
10/7,8 Review ch2 sections 1-5 for test:
p187 11,13,29,31,41,51,53,73,75,89,97,
103,105,
10/9,10 TEST Chapter 2, sections 1-5
AND PSAT review
10/13,14 PSAT Review
and REVIEW for 9-WEEKS TEST:
9WEEKS TEST REVIEW PROBLEMS
pA20 37,81,83 pA31 23,59 pA43 51
pA55 61,101,155,177 pA67 55,57,97,115
pA86 41 p9 23,25,27 p95 55
p100 15,25,34,35,36,37,49,51,63,85,87,91,
93,107,109
p187 11,29,31,51,53,57,59,61,69,71,75,
87,89,91,97,103
10/15 PSAT in the morning then short classes
Review for 9-weeks test
** 9-weeks tests dates will follow school schedule
10/16 1B,3B 9WEEKS TEST
4B Review and
p161 79-93odd,99,101,103,107,111-119odd
10/17 3A 9WEEKS TEST
4A Review and
p161 79-93odd,99,101,103,107,111-119odd
10/20 4B 9WEEKS TEST
1B,3B p161 79-93odd,99,101,103,107,
111-119odd
10/21 4A 9WEEKS TEST
3A p161 79-93odd,99,101,103,107,111-119odd
10/22,23 p174 1,5-20all,21-43odd
10/27,28 p175 51-57odd,63-67all,69,75-84all
10/29,30 Review p189 111-135 odd (not to be turned in)
p206 1-41 EOodd (use a calculator)
10/31,11/3 TEST on section 2.6
p206 43-67 odd, 73
11/4,5 p216 1-49 odd, 57
11/6 Per 1B,3B,4B p223 1-87 odd
11/7 Per 3A,4A County diagnostic tests
11/10 Per 1B,3B,4B County diagnostic tests
11/12 Per 3A,4A p223 1-87 odd
11/13,14 p232 1-105 EOodd
11/17,18 p233 109-113, 119 121-127
p243 1-6,7,11,15,19,25,27,35,36,39,47,51,53
11/19,20 Review (not to be turned in)
p250 7-10all,31-43odd,55,56,65-117odd,
131,133,139
11/21,24 TEST on chapter 3 and circle worksheet
11/25 B-day only: Circle worksheet
** If you have been notified that you are eligible for grade recovery for the 1st 9-weeks, the recovery test will be Tuesday, December 9, at 7:20AM, in room 205. Be sure to study the problems listed on 10/13 and your old tests from the 1st 9-weeks.**
12/1,2 p712 1-51odd
12/3,4 p722 1-6all,9-21EOodd,27-41odd,42
12/5,8 p732 1-4all,5-37odd,41-48all
12/9,10 Review p712 20,22,24,44,52
p722 10,16,20,40,46 p732 10,20,30
12/11,12 TEST on conic sections
12/15,16 Review Worksheets on Geometry topics
12/17,18 Springboard "Playing Catch Up"
12/19 Finish Springboard and start review
***Schoolwide Semester Exams will be as follows:
1A,3A Jan 8 1B,3B Jan 9
2A,4A Jan 12 2B,4B Jan 13
***Review these problems for your semester test
P A20 15,37,71,83,91 P A31 59,131,153
P A43 21,39,51,61 P A55 41,63,103,149,159
P A67 55,57,99,101
P 255 3-13,18,35,36,39,40,41,42,44
P 104 7,9,10d,11d,21,23 P 189 98,111,113
P 191 1,4-11,14-16 P 252 123,133
P 254 2,3,11,15-20
P 772 1,3,15,21,23,29,31,37,41,42
1/5 per 1B and 3B finish Springboard, work on
review
per 4B finish Springboard and p269 1-89odd
1/6 per 3A work on review
per 4A p269 1-89odd
1/7 Review
1/8 per 3A Semester TEST
per 4A Review
1/9 per 1B and 3B Semester TEST
per 4B Review
1/12 per 3A p269 1-89odd
per 4A Semester Test
1/13 per 1B and 3B p269 1-89odd
per 4B Semester Test
1/14,15 p278 1-55odd
1/20,21 p287 1-65odd
1/22,23 Review
1/26,27 TEST sections 4.1-3 and
p297 1-65 EOedd
1/28,29 p298 69-90 all, 93-99odd 96
1/30,2/2 Review
2/3,4 Test sections 4.1-4 and
Graph y = sin x and y = cos x on the grid
that we designed in class using the angles
I gave you in class.
2/5,6 p 307 1-14all, 13-33odd See note below!!!
***For ALL GRAPHS in chapter 4, when you are asked for a graph, you must label the x-axis with the beginning, end, and 3 quarter divisions for each full period that you are told to graph. The y-axis must be labeled for the highest, lowest, and midway points.***
2/9 A-day only: FCAT Practice Exam (many 10th
graders in these classes)
2/10,11 p307 35-57 odd ***see note above about graphs
2/12,13 p318 1,5,11,13,15,17,21,25,27
2/17,18 p318 3,7,9,19,23,33,37
2/19,20 Addition of ordinates (get problems from
board) and
Review (get problems from the board)
2/23,24 TEST on graphs of trig functions, then
USE a graphing calculator for these:
p308 70,72,74 p319 55-58,64,66,68-74
**Grade Recovery for 2nd 9-Weeks: The grade recovery test for the 2nd 9-weeks will be given on Tuesday, March 10, at 7:20 AM in room 205. Eligible students will be notified soon. It will cover the material from the 2nd 9-weeks, chapters 2 and 3. Study the review for the 2nd 9-Weeks Test listed above after 12/19/08.**
2/25,26 p328 1-73odd
2/27,3/2 Review of chapter 4 for test Thurs or Fri
p344 3-97 multiples of 3, 103-130all,
137-140 This assignment is due next class!
3/3,4 Review and more applications of trig
p329 91,96,97 p338 5,9,13-45odd
3/5,6 TEST of chapter 4 and start chapter 5
p359 1-13odd,15-26all,27-43odd
3/9,10 p359 46-93odd,103-111odd
3/11,12 p367 1-37 EOodd SHOW DETAILED PROOF
3/13,16 p367 7,15,27,35,41-61odd
*** These are the review problems for the 3rd 9-WEEKS
TEST: p269 27,39,63 p278 15,21,23 p287 3
p297 7,19,37,41,69,71,72,85,87 p308 59,61
p328 5,7,11,15,43,49,57,61 p338 11,23,29
p359 9,37,47,65,79 ***
3/17 per 1B,3B p376 1-31odd,(omit 17,19)55,57
per 4B Review (see list)
3/18 per 3A p376 1-31odd,(omit 17,19)55,57
per 4A Review (see list)
3/19 per 4B 9-WEEKS TEST
per 1B,3B review (see list)
3/20 per 4A 9-WEEKS TEST
per 3A review (see list)
3/23 per 1B,3B 9-WEEKS TEST
per 4B p376 1-31odd(omit 17,19),55,57
3/24 per 3A 9-WEEKS TEST
per 4A p376 1-31odd(omit 17,19),55,57
3/25,26 p376 17,19,33-42all
*** Spring Break***
4/6,7 p384 1-73EOodd
4/8,9 p394 1-61EOod,63,75,98,99(omit 33)
4/13,14 Review (worksheet)
4/15 B-day TEST Chapter 5 short class early release
4/16 A-day TEST Chapter 5 AND
p416 1-15 odd
4/17 B-day p416 1-15 odd Per 1B CPT Test see below
4/20 A-day p423 1-15 odd
4/21 Per 1B p415 1-15odd AND p423 1-15odd
Per 3B,4B p423 1-15odd
4/22,23 p416 19-24all,29-39odd
p423 23-39odd
4/24,27 Review worksheet (6.1,2)
4/28,29 TEST 6.1,2 AND
p436 1-26,41-45
4/30,5/1 Begin sequences and series
p621 1,11,17,21,25,31,37,39,41,45,53,55,
57,59,63,67,69,71,75,87,89,94
5/4,5 p631 1-81EOodd,79
5/6,7 p640 1,5,11,17,19,23,27,31,35,39,51,55,
71,73,77,79,81,87,91,99,105,111,113
5/8 no assignment, most out for AP test
5/11,12 p659 5,11,13,25,29,31,45,47,53,55,65
5/13 no assignment, most out for AP test
5/14,15 Review p686 1,3,11,19,20,21,31,33,35,39,41,45,
53,57,61,66,67,75,87,89,95,99,103,105
p659 51 p460 37(also find magnitude),41,46
5/18,19 TEST sections 6.3, 9.1,2,3,5 AND review
list for EOC and final exam
5/20,21 EOC
5/22 Makeup EOC's (listen for morning announcement)
A-day: Polar Graphs Worksheets
5/26,27 Review for 9-weeks and final exams
Review for 4th 9-Wks Test
P359 15-26, 45,51,63 p367 7,25,26,46
P376 9,15,19,29,31,37
p384 45-50(also sin2u,cos2u,sinu/2,cosu/2)57,58
P416 3,5,19,20,24,31 p423 5,9,25
P436 9,19,23 p686 63,39,41,45,47,57,59,61,67
P622 65,69 p641 85,87,89 P659 19,23,43,49
5/28,29 9-Weeks Exams
6/1 4A Final Exam
6/2 4B Final Exam
6/3 1A,3A Final Exam
6/4 1B,3B Final Exam
6/5 Makeup MUST BE DONE BY 10AM!!!
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AP Calculus
Daily assignments follow the "Curriculum Paper" below.
Paxon School for Advanced Studies
2007-2008
Mrs. Banks
AP Calculus AB
General Course Description:
This course is based on the curriculum recommended by the College Board. It includes a detailed study of functions, limits, derivatives, and integrals. We approach each topic from graphical, numerical, and algebraically analytic methods, connecting these as we begin to understand the numbers, symbols, concepts, and techniques of calculus. We emphasize communicating mathematics as we explain our work verbally and by using proper algebraic and calculus notation. We use the graphing calculator to investigate, calculate, and confirm results.
Course Format:
This year (2007-08) Paxon SAS will be on a block schedule that meets every other day for the entire school year. The number of “days” listed in the description means days of the school week, not just days that we meet. The numbers will be adjusted to meet student and class needs. Disruptions to the schedule will also cause modification of this tentative schedule.
Detailed Course Description
Segment 1 Review of Graphs Time: 2 days
We begin the year with a quick review of the characteristics of the common graphs from Pre-Calculus and Algebra 2 including linear, quadratic, cubic, higher degree, rational, radical, logarithmic, exponential, trigonometric, and some conic sections. We emphasize basic shapes, domain, range, zeros, symmetry, and transformations of the functions and relations, then use them as models to fit data. We begin to think of slope as a rate of change. We use the calculator to help develop and confirm our thoughts as we review these topics. Assessment: One pre-test.
Segment 2 Introductions to Limits Time: 11 days
In this next unit, we study limits. We begin with an intuitive approach, using a graphing calculator to support our developing concepts, which leads to the usual analytic methods for finding limits of algebraic and trigonometric functions. We use these ideas about limits to develop the concept of continuity, the Intermediate Value Theorem, one sided limits, and infinite limits. We use the graphing calculator to investigate and relate these concepts. Assessment: One test.
Segment 3 Differentials Time: 21 days
In this segment, we develop the 2 forms of the definition of the derivative, emphasizing the limiting process on the difference quotient of a continuous function as the secant line approaches the tangent line. This leads to the fact that the derivative gives the slope of the tangent line to a curve at a point. We then work our way into the basic techniques of power rule, product rule, quotient rule, chain rule, and implicit differentiation. We use the graphing calculator to investigate these concepts and to confirm our results. Assessment: 2 Tests
Segment 4 Rates of Change and Related Rates Time: 9 days
We now extend our differential techniques to applications in the real world. We emphasize that the derivative gives us the instantaneous rate of change, as it is the limit of the average rate of change. We write equations that represent verbal models using derivatives to represent velocity, acceleration, and related rates of change. We also approximate rates of change when given tables of values. When we use graphing calculators on these problems, emphasis is on setting up the problem and giving proper descriptions using verbal explanations and regular calculus notation. Assessment: One test
Segment 5 Curve Sketching Time: 14 days
In this segment we learn how the derivative gives us so much information about the graph of a function. We study continuity, differentiabilty, critical numbers, extrema (relative and absolute), Rolle’s Theorem, the Mean Value Theorem for derivatives, increasing and decreasing functions, the first derivative test, concavity, points of inflection, the second derivative test, limits at infinity, vertical, horizontal, and slant asymptotes. Graphing calculators are used to confirm results and to help visualize what’s happening, especially when comparing the graphs of the function and its first and second derivatives. Assessment: One test.
Segment 6 Optimization, Newton’s Method, and Differentials Time:11 days
We use our derivatives to solve real world optimization problems, to approximate the zeros and points of intersection of functions using Newton’s Method, to approximate function values using a tangent line, and to use differentials to approximate the change in y compared to the actual change in y of a function and to apply this to finding errors in measurement. We use the graphing calculator for most of these applications, but we always set up the problem with proper calculus notation. Assessment: Two tests
Segment 7 Integration Time: 22 days In this segment we start working indefinite integrals using antiderivatives with basic integration rules taken from previously learned derivatives. We learn to find the general antiderivative and a particular antiderivative when given a point of the function. We work our way through more complicated antiderivatives using substitution and through definite integrals using the Fundamental Theorem of Calculus (though we don’t formally prove it, yet). While developing these techniques, we begin using functions that reflect simple geometric shapes to help understand the relationship between areas and integrals, and we study the properties of definite integrals. We begin looking at numerically approximating the area under a curve as an accumulation of areas of rectangles using lower sums, upper sums, left and right hand sums, and midpoint sums on regular partitions of the interval, then as Reimann sums with partitions of unequal width, and finally, as sums of areas of other shapes such as trapezoids. We then tie the antiderivatives and the areas together with the Mean Value Theorem and limits to do a proof of the Fundamental Theorem of Calculus. This leads to finding the average value of a function and to the Second Fundamental Theorem of Calculus. We apply this to finding position and distance traveled by a particle on a line, and to model other verbal problems as integrals. We end this section of areas and integrals by finding the area between two curves. Graphing calculators are used to help develop concepts, to do some of the more tedious calculations, and to confirm our results. Assessment: Three tests.
*Segments 9 may precede Segment 8 depending on student progress and time limits.
Segment 8* Volumes Time: 13 days
Since we have areas on our minds at this time, we continue in chapter 6, where we begin rotating those areas around a given line and get volumes of solids of revolution using disk (washer) and shell methods. We also study volumes of shapes with known cross-sections, arc length, and surfaces of revolution. Much of the work in this section is done with a calculator after all problems have been represented with an integral using proper calculus notation. Assessment: Two tests
Segment 9* Logarithmic, Exponential and other Transcendental Functions Time: 24 days
After our study of volumes, we go back to Chapter 5 and pick up a review of logarithmic and exponential functions. This leads to a study of the natural logarithmic function as it applies to derivatives and integrals, then of the inverses and e, then to derivatives and integrals using e and other bases. We also study L’Hopital’s Rule at this time. We apply these derivatives and integrals to real world problems such as growth and decay. We do a more detailed study of differential equations, separation of variables, and slope fields, emphasizing the connections of these topics. We wind up the chapter with a study of inverse trigonometric functions, their derivatives, and integrals that use the inverse trig functions. Graphing calculators are used when appropriate for investigation, comparisons, and computations after problems are written using calculus notation. Assessment: Two or three tests
Segment 10 Review, Review, Everlasting Review Time: 4 – 5 weeks
This is what we live for! We spend the next 4 to 5 weeks putting all that we have learned to work as we review for the AP exam. We do several multiple choice and a few free response problems every day. These problems come from several sources, but most are actual problems from released exam questions from 1997 to 2006. Students can work alone, in pairs, or in small groups. We have after school and/or evening sessions to enhance our review and for an actual practice exam. It is usually during this review when students begin to appreciate the beauty of what we have learned and actually understand what it’s all about! Assessment: Participation plus performance determine this grade.
Textbook:
Larson, Ron, Robert P. Hostetler, Bruce H. Edwards. Calculus with Analytic Geometry. Houghton Mifflin Company, 2002. Seventh Edition.
Supplementary Materials:
Finney, Ross L., Franklin D. Demana, Bert K, Waits, and Daniel Kennedy. Calculus: Graphical, Numerical, Algebraic. Scott Foresman, Addion Wesley, 1999.
Lederman, David. Multiple Choice and Free Response Questions in Preparation for the AP Calculus (AB) Examination. D & S Marketing Systems, Inc., 1999. Seventh Edition.
I have a good collection of supplementary material from various other sources including the many AP Calculus AB workshops that I have attended, and I rely heavily on released exams, both multiple choice and free response, dating back to the mid 90’s, as the heart of my review.
Required Materials:
Students will be required to bring to class daily:
Textbook
Notebook (preferably a three ring binder)
Paper
Pencil
Calculator (TI 83 or TI 84 preferred)
Grading Procedures:
Assessment: Various methods are used to grade students on this segment. The grade is based on the student’s level of mastery of the standards as demonstrated in his written work and as communicated in class discussion.
The policies described below may be modified as needed to meet student needs. When a modification is made, students will be notified and online copies of this document will be updated.
Grades will be based on Tests, Homework, and (possibly) Quizzes
All assignments are given a point value. Final averages will be determined by dividing points earned by points possible. For example, if you have earned 1020 points out of a possible 1200 points, your grade would be 1020/1200, which is equal to .85, or 85%. We will use the county grading scale of A 90-100, B 80-89, C 70-79, D 60-69, F below 60.
Tests:
You will be given several tests during the 9-Weeks. These tests will cover several sections or whole chapters in the book and will be announced in plenty of time to prepare. Tests dates and assignments can be found on www.schoolnotes.com . Tests will usually count 100 points.
If you are absent only one day before a test, you will take the test with the class.
If you are absent the day of the test or have missed too many days previous to the test, you will make up the test during the next class period or at a regularly scheduled tutoring session if one is offered in time. The missing test must be made up before the other students’ test papers have been returned, and that is usually within one or two days. If it is not made up in time, see the next paragraph.
There will be a 9-WEEKS TEST that will count twice, once as a regular test, and again (if you have taken all tests on time) as a replacement for your lowest previous test grade (if this helps your average). If you have missed a test, the 9-WEEKS TEST grade will count in its place, since that 0 will be your lowest previous test grade. If you miss more than one test, then you will take a special make up exam that will be announced at the appropriate time.
Homework/Classwork:
You will have daily assignments that will carry over from class to home. These assignments must be completed each day, as you will be constantly building more techniques, concepts, skills based on these assignments. DO NOT neglect this work. DO NOT just copy it from another source. You may work with each other and share ideas and techniques, but you will be held accountable individually at test time. These assignments are to be completed before the beginning of the next class and will usually count 5 points each. There will be deductions for incomplete papers and for those problems where not enough steps are shown. If you are absent the day a homework assignment is due, you must turn it in the day you return. If you are absent the day homework is assigned, it is your responsibility to get the assignment and turn it in according to the “day for a day” policy. All assignments are posted on www.schoolnotes.com , so there is no reason to get behind in your work.
Quizzes: You may have several quizzes that may or may not be announced. These quizzes are given to check your understanding of the developing lesson, and the number of points will vary. Quizzes will not be made up, as we will drop some of the lowest or missing quiz grades before averages are done.
Grade Log: Students will be given a “Grade Log” to keep track of their progress. This log must be kept up-to-date. There is no need to ask the teacher for your grade, as you will always know what it is.
Grade Recovery:
If a student makes a D or F for the 9-weeks average, but made a continuous “good-faith” effort during that quarter, he may be eligible for grade recovery. A “good faith” effort would involve completing 90% of the assignments satisfactorily and on time, and going to tutoring for extra help. Grade recovery for Pre-Calculus will consist of one (one time, one chance, only) comprehensive test on the specific topics from that 9-weeks. The student will be notified of eligibility and will be given the day and time of this test. The test is usually given during the 5th or 6th week of the following quarter. The study guide for the recovery test will be the same as the review for the 9-weeks test, unless otherwise noted.
The grade recovery test will replace the lowest grade of the 9-weeks, and a new average will be formulated. The letter grade will then be determined by the county grading scale.
Attendance:
Being in class is essential to learning. I expect you to be in your seat when the bell rings. In order to earn a passing quarter grade in a course, it is county policy that any student who misses more than four classes, not including school-related absences, will be required to pass a comprehensive quarter exam or project (our 9WEEKS TEST) in addition to having an overall passing grade for the quarter. A student must be in class for at least half the period to be considered present.
HELP:
Tutoring is available from me on Tuesday morning from 7:30am to 8:00am, and on Thursday after school from 3:30pm to 4:00pm. Other times may be available by appointment. Tutoring is for those students who do their assignments on time and who participate in all class activities and discussions.
Conferences: Parents/guardians can send me an e-mail at banksi@duvalschools.org , or call guidance at 693-7583 to schedule a conference or leave a message for me to return a phone call as soon as possible.
Cheating: Cheating will not be tolerated! Giving or receiving help on tests or quizzes or copying homework is cheating. This will result in an automatic zero for the assignment as well as a referral to the dean. Sharing calculators during tests/quizzes will not be allowed and is considered giving help.
Student Integrity and Decorum: It is the responsibility of the student to be an active participant in the learning process and to uphold the academic integrity policy. All work turned in by a student should be his/her own. It is also expected that students behave according to and adhere to the Code of Student Conduct.
AP Calculus Assignments
8/18 Pre-test
8/20,22 No School due to Tropical Storm Fay
8/25 p54 1-19 odd, 27-37 odd, 39-45 all, 49,51 52
8/27 p65 1-41EOodd,43-65 odd,101,103,113,115,
117,121,122
8/29 p66 67-79 odd,78,86,87
p76 1-31 odd
9/3 p77 33-53EOodd,55-85 odd,87-90
9/5 p85 1-65EOodd and REVIEW for TEST next class:
p88 5,6,11,13,15,16,19,21,
31,33,35,37,38,39,47,57
p77 1-6,41,43,63
p85 11,21,30,33,35
9/9 TEST and p27 7,9, p36 25-30, p47 5-8,11
9/11 p101 1,3,5,SHOW the first definition of the
derivative for 7,21,23,27, then 39-46 all
9/15 p103 use the alternate definition of
derivative for 61,62,63,65,67,69, then
do 71-80 all
p113 1-29 odd (use power rule)
9/17 p113 31-38 all,39-71 odd,81-86
p124 1-17 odd
9/19 p124 21-69 EOodd,83-91 odd
Prepare for a test on the BASICS of
power rule, product and quotient rules
on Tuesday 9/23 (ch 2 through p124 #18)
9/23 TEST on derivatives through the basics of
product and quotient rules
p125 75,79,93-101,103,109,111,113
p115 87-99
9/25 p133 1-105 EOodd
9/29 p142 1-29 EOodd,35,43,44,47,49,55,57
10/1 Work on previous assignment
10/3 TEST on chapter 2 sections 1-5
AND p149 1-7odd,15,17,19-24 all
10/7 p150 27,28,29,31,33,35,37,39,43
10/9 p152 45,47,13,14,26,25
AND PSAT/SAT Review
10/13 work on related rate problems,
review for PSAT/SAT,
review for 9-weeks test:
p65 37,55 p76 3,11 p85 11
p88 11,15,19,25,31,47,61 p113 33,51,55
p134 59,89 p149 19,23,27
p151 1,29,39,41,47,65,83,85,97,99,105,107
10/15 Review for 9-weeks test and
review for related rates test on 10/21:
p115 91,93 p126 101 p149 3,5,19,23,27,48
10/17 9-WEEKS TEST and review related rates
10/21 TEST Related Rates
p165 1-33EOedd,49-54all
10/23 p172 7,9,13,15,31,32,34,35,45-49,51
10/28 p181 1-37EOodd
10/30 p189 1-37EOodd
11/3 p199 13-31 odd and start next assignment
p208 7,9,11,15,17,19,23,27,33,35,37,41,49
11/5 Work on page 208. Be sure to show ALL steps!
11/7 Finish p208, review for test on sections 3.1-6
11/12 TEST on Sections 3.1-6
start optimization problems: p216 1c,e,2-10,15
11/14 p216 11,13,17,18,20acd,24,25,27,28,
29,31cd,33,41,45,49,54,60
11/18 work on p 216
11/20 p226 1,5,9,13,15,17
11/24 p233 1,5,7-19odd,29,31,32,35,36,37
** If you have been notified that you are eligible for grade recovery for the 1st 9-weeks, the recovery test will be Tuesday, December 9, at 7:20AM, in room 205. Be sure to study the problems listed on 10/13 and your old tests from the 1st 9-weeks.**
12/1 REVIEW p216 4,6,19,20bc,24,27 p226 5,11,15
p233 9,15,32,35
12/3 TEST and p249 1-41odd
12/5 p250 49-63odd,53b
p284 1-31odd,omit 25, we'll do abs value later
12/9 p251 73,77,79,83,87
p297 9-53 EOodd
12/11 p297 5-51 EOodd,55-75odd
12/15 Review(not to be turned in)
p249 18,22,24,40,42,58,60,62
p284 8,16,22,24,32 p297 12,18,24,44,50,58,70
12/17 TEST
p272 13-45 odd,46
12/19 p285 45-59odd,60,75-91odd
p321 7-33odd
*** Here is the list to study for the 9-weeks/semester
test that will be on 1/8
p55 9-15odd, p88 11,13,15,19,31,39,57
p149 5,15,19,27 p153 23,27,39,41,45,47,49,65,71,
77,99,105,107 p172 35 p189 5,13,29
p199 13,17,25,49,53 p205 7,19,29 p216 17,20bc
p226 1 p233 32,35 p249 10,13,23,27,37,61
p272 17,45 p284 15,17,23,31 p297 9,13,33,71
1/6 Review for 9-weeks test
1/8 9-WEEKS TEST
1/12 Worksheet on absolute values and
another on 2nd Fundamental Theorem of Calculus
Also p262 27,29,63,65
1/14 p305 3,7,9,43
p261 1-19odd, 31-43odd
1/20 Prove fundamental theorem of calculus and review
p261 13,17,27,41,63 p273 29,31,41,43,45,46
p284 23,25,26,49-52,81-91odd p305 7
1/22 TEST and
p322 45-105 EOodd
1/26 p330 1-53 EOodd
1/28 Review p322 15,31,45,47,48,55,57,59,67,71
p330 1,5,11,15,19,35,67
1/30 TEST sections 5.1-2 and
p338 1-61 EOodd, 71,73,77-89odd,
2/3 p347 1-27odd,39-59EOodd,61
2/5 p349 87-107EOodd,109-117odd
2/9 p357 5-69EOodd,79,83,85,89
2/11 p366 11-35odd,41,45,49,53,65
2/13 p377 3,7,15,21,31-53odd,55,61,95,97,99
2/18 Worksheet on slope fields and REVIEW
2/20 TEST and
p386 5-59EOodd,57
**Grade Recovery for 2nd 9-Weeks: The grade recovery test for the 2nd 9-weeks will be given on Tuesday, March 10, at 7:20am in room 205. Eligible students will be notified soon. It will cover the material from the 2nd 9-weeks, chapters 3 and 4. Study the review problems for the 2nd 9-weeks test listed above after 12/19/08.**
2/24 p393 1-41EOodd
2/26 p418 15-65EOodd,67
3/2 p428 1-9odd,11-14all,15-37odd
3/4 p430 59,60
3/6 p437 1-23odd,29,31
3/10 Review for test Monday on 6.1-3
3/12 Review (many out for FCAT)
3/16 TEST Chapter 6 and p447 11,12,15,33,35
3/18 p486 1-37EOodd,45,53,63,69 (DUE TODAY!)
and p503 3-11odd,21 and p537 5-33EOodd (DUE 3/26)
3/20 Review
3/24 9-WEEKS TEST
**Begin AP Review!
Show work for ALL problems! For multiple choice problems, show steps! For those that take no work, write down what made you decide on your answer. For free response problems, be sure to identify what part you are working on, and show every step clearly. Don't forget to label answers. ALL PAPERS WILL BE COLLECTED AT 8:15AM ON THE FIRST CLASS AFTER THE ASSIGNMENT IS MADE. NO LATE PAPERS WILL BE ACCEPTED EVEN IF YOU ARE ABSENT! (If you are absent, send your paper with someone else, put it in my box by 8:15AM, or just take the loss of those points.) Grades are determined by total points earned, and there will be a curve.
3/26 Practice AP TEST DUE THE DAY WE GET BACK, 4/7/09
D&S Test I problems 1-45
FR pages 1-5 all 6 problemss
4/7 D&S Test II 1-15
FR pages 6,7
4/9 D&S Test II 16-30
FR pages 8,9
4/14 QUIZ (MC Test T 1-10, FR pages 14,15)
D&S Test II 31-45
FR pages 16,17
4/16 Quiz (MC Test T 11-20)
MC Test E 76-92
FR page 18
4/20 MC Test E 1-14
FR page 24
4/22 MC Test E 15-28
FR page 25
4/24 D&S III 29-37
FR pages 19-20
4/28 D&S III 38-45
FR pages 21-22
pick up a study guide for final exam
4/30 FINAL EXAM for all students.
FR 2008
5/4 Last Review for AP test
5/6 AP TEST!
5/8,12 Many students our for AP tests, no assignments
5/14 Seniors take test for extra points, juniors study
5/18 9-weeks test
5/20 Integration by parts Barron's p166 28,47,48,53,
54,55,56,62,69
5/22 Worksheet Calculus Sudoku
5/27 Review
5/29 Review
6/4 Junior 9-weeks test
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