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Mrs. Banks
Pre-Calculus, AP Calculus AB
PAXON SCHOOL FOR ADVANCED STUDIES
JACKSONVILLE,   FL   32254
SchoolNotes last updated: Thu Nov 5 12:10:19 PST 2009    Number of Visits: 4522
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Notice: AP Calculus students: Your Schoolnotes are at the end of the Pre-Calculus section.
Click here to go right to the AP Calculus AB section.
AP Calculus AB Curriculum Paper
PERIOD 2A and 4B Click here to go right to the AP Calculus AB assignments for Classes 2A and 4B. AP Calculus AB Assignments

PERIOD 7 Click here to go right the the AP Calculus AB/IB SL assignments (period 7). AP Calculus AB /IB SL Assignments

Click here for AP Calculus BC Curriculum Paper AP Calculus BC Curriculum Paper
Click here for AP Calculus BC Assignments AP Calculus BC Assignments

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
2009-2010
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)
         NO TI-89's!!!!

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:
Help is available from 7:45 to 8:15 on A DAY mornings only. This extra help 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 with quidance 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. Also use of some unauthorized calculators or other electronic devices is considered cheating.

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 the Code of Student Conduct.  

PRE-CALCULUS ASSIGNMENTS

08/24,25  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
08/26,27  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
08/28,31  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
9/1,2     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   Quiz
        Review List for Chapter A1-4 for Test to be
        taken on 9/10,11          
        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
9/8,9   Go over Quiz and Review of A1-4
        Review List for Chapter A 5,6,part of 8
            for Test on 9/10,11
        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
9/10,11 Quick review then TEST Chapter A
        Then more chaper 1:
        p35 1,3,7,9,11,13,15,21,33,39,41,
             45,55,57,61,63,67,69,77,87,88,93
9/14,15 p47  1-23 odd,31,35,37,53,55,57,61-67
        p56  3,23,29,33,39,43-49 odd,53-62 all
9/16,17 p64  5,9,11,13-19 all,21-29 odd,33,39-49 odd
        p74  5,9,11,13,17,19,23,25,35,36,37,39,41,43,
             45,47,49,51,53,55,69
9/18,21 p83  1,2,3,4,15,18,25,26,27,29-32,41,47,51,
             53,61,69
        p93  27,31-40,47-61 odd,62
9/22,23 REVIEW for a test on chapter 1 on 9/24,25
9/24,25 TEST on Chapter 1
9/28,29 p116 1-101EOodd,23,27,31,43,63
9/30,10/1 p130 1-8all,9-77EOodd,(omit 25)
           74,76,79,80,89
10/2,5  Review for test on 2.1&2 AND
        p140  7,11,15,16,21,25,31,35,37,39,41,
         45,49,51,53,57,59,63,67,73
10/6,7   TEST on sections 2.1 qne 2.2  AND
        p148  1-85EOodd,83
10/8,9  p160 5-69EOodd,59,63,71 and
         (per 6 PSAT review)
10/12,13 MAPS test and
         work on p160 and (per 3 PSAT review)
10/14,15 Review for 9-weeks test
10/16,19 9-WEEKS TEST and
         P161 79-93odd,99,101,103,111-118
10/20,21 P174 1,5-20all,21-43odd
10/22,23 p175 51-57odd,63-67all,69,75-84
10/27,28 Review for next test: p187 29,30,31,33,
          35,41,51,53,59,73,75,89,97,103-135odd
10/29,30 TEST on Chapter 2 sections 3-6 AND
         p206 1-41EOodd
11/2,3  p206 43-67odd,73
11/4,5  p216 1-49odd,57
11/6,9  p223 1-87odd


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******************************************************
AP Calculus AB

Daily assignments follow the "Curriculum Paper" below.

Paxon School for Advanced Studies
2009-2010
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 for 6 classes. There will be one class that meets every day for 45 minutes.  
Course Description

Review of Graphs    
Introductions to Limits  
Differentials        
Rates of Change and Related Rates        
Curve Sketching        
Optimization, Newton’s Method, and Differentials    
Integration         
Volumes        
Logarithmic, Exponential and other Transcendental
      Functions    
Review, Review, Everlasting Review
        
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.

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)
        *STUDENTS DO NOT NEED AND SHOULD NOT USE TI 89

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 work.

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:  
Help is available from 7:45 to 8:15 on A DAY mornings only.  This help 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 with guidance 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 the Code of Student Conduct.  

BLOCKS 2A and 4B (NOT 7th period)
AP Calculus AB Assignments

8/24,25 p54  1-19 odd, 27-37 odd, 39-45 all, 49,51 52
8/26,27 Pre Test (Precal review)
8/28,31 p65  1-41EOodd,43-65 odd,101,103,113,115,
         117,121,122
9/1,2   p66  67-79 odd,78,86,87
        p76  1-31 odd
9/3,4   p77  33-53EOodd,55-85 odd,87-90
9/8,9   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
9/10,11 TEST  and p27 7,9, p36 25-30
9/14,15 p101 1,3,5,SHOW the first definition of the
        derivative for 7,21,23,27, then 39-46 all
9/16,17 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)
9/18,21 p113  31-38 all,39-71 odd,81-86
        p124  1-17 odd
9/22,23 p124  21-69 EOodd,83-91 odd
        Prepare for a test on the BASICS of
        power rule, product and quotient rules
        on Tues/Wed 9/23,24  (ch 2 through p124 #18)
9/24,25 TEST on derivatives through the basics of
        product and quotient rules
        p125 75,79,93-101,103,109,111,113
        p115  87-99
9/28,29 p105 1-105EOodd
9/30,10/1 work on p105 and start    
        p142 1-29EOodd,35,43,44,47,49,55,57
10/2,5  Work on p122 and p142 Review
10/6,7  TEST on 2.1-2.5 and
        p149 1-7odd,15,17,19-24
10/8,9  p150 27,28,29,31,33,35,37,39,43
         (and per 4B PSAT/SAT review)
10/12,13 p152 13,14,25,26,45,47
         (and per 2A PSAT/SAT review)
10/14    PSAT (short class Per2A) Review
10/15,16 Review
10/19,20 9-WEEKS TEST and review related rates
10/21    TEST Related Rates (Per 4B shortened)
10/22    TEST Related Rates(Per 2A)also do:
         p165 1-33EEodd,49-54
10/23    p165 1-33EOodd,49-54 (Per 4B)
10/27,28 p172 7,9,13,15,31,32,34,35,45-49,51
10/29,30 p181 1-37EOodd
11/2,3   p189 1-37EOodd and  
         p199 13-31odd
11/4,5   p208 7,9,11,15,17,19,23,27,33,35,37,41,49
         Find everything for each problem, one problem
         per page!
11/6,9   Finish p208 and review
11/10,12 TEST 3.1-6

        



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AP Calculus AB / IB SL Assignments
PERIOD 7 ONLY
8/24,25  p54
8/26,27  Pre-Cal review WS
8/28  p65 1-65
8/31  p66 67-123
9/1   p76 1-31 odd
9/2   p77 33-53 odd
9/3   QUIZ and p77 55-89 odd
9/4   p85 1-65 odd
9/8,9 Review (list)
9/10  TEST and assign p27 7,9  and  p36 25-30
9/11  p101 1,3,5, show 1st definition of the
       derivative for 7,21,23,27,then 39-46 all      
9/14  p103 show the alternate definition of the
       derivative for 61,62,63, then 65,67,69,71-80all
9/15  p113 1-29 odd, 31-38 all
9/16  p113 30-71odd, 81-86
9/17  p124 1-17 odd
9/18  (extended class) Review for test Monday 9/21 on
        chapter 2 through p124 #18.
9/21  TEST chapter 2 through p124 #18
9/22  p124  21-69 EOodd,83-91odd
9/23  finish p124
9/24  p125 75,79,93-1012,103,109,111,113
      p115 87-99
9/25  p133 1-105 EOodd
9/28  work on p105
9/29  finish p105 and start  
      p142 1-29EOodd,33,43,44,47,49,55,57
9/30  finish p133 and p142 and Review
10/1  Review
10/2  TEST on 2.1,2.5
10/5  p149 1-7odd,15,17,19-24
10/6  p150 27,28,29,31,33,35,37,39,43
10/7  work on previous
10/8  p152 13,14,25,26,45,47
10/9  review
10/12 review
10/13 TEST 2.2,6
10/14 no class PSAT schedule
10/15 p165 1-33EOodd,49-54
10/16 finish p165 and review
10/19 review
10/20 9-WEEKS TEST
10/21 p172 7,9,13,15,31,32,34,35,45-49,51
10/22 p181 1-37EOodd
10/23 p189 1-37EOodd
10/27 finish p189
10/28 p199 13-31 odd and start next assignment
10/29 p208 7,9,11,158,17,19,23,27,33,35,37,41,49
      ** For all of these problems show every step as
        you find everything we studied for each graph.
10/30 Work on p208
11/2  Review
11/3  TEST 3.1-6
11/4  p216 1ce,2-10,15
11/5  p216 11,13,17,18,20bcd,22acd,24,25,27,28,
       29,31c,d,33,41,45,49,54,60
11/6  Work on p216



      
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AP Calculus BC

Daily assignments follow the "Curriculum Paper" below.

Paxon School for Advanced Studies
2009-2010
Mrs. Banks
AP Calculus BC Curriculum Paper

See the curriculum paper for AP Calculus AB.  To see it click here: AP Calculus AB Curriculum Paper

Add the topics of advanced techniques of integration, sequences and series, vectors, polar and parametric functions.  

Grading procedures are the same as the AB course with the exception of the extra IB requirements which will be announced later.



AP Calculus BC Assignments


8/25  Review Chapters 1,2,3
8/27  Review Chapters 4,5,6
8/31  p486 19,23,25,31,35,39,41,49,59,61,64,
       65,67,87,88,89
      p494 11,15,17,21,23,25,30,33,35,
        38,47,55,61,93,103
9/2   p503 5,6,9,11,17,21,25,29,31,40,47,61,
       65,83,87,91
9/4   p512 5,9,13,23,25,29,31,35,37,41,45,47,49,57,
       59,61,63,75
      p522 8,9,11,13,17,21,25,29,31,40,47,61,
       68,93,97,91
9/9   p528 3,5,7,12,13,29,33,43,50,63,65,67,85
9/11  p537 5,7,13,16,27,31,33,39,41,43,44,67,68,73,80
      p547 9,14,15,19,20,21,23,27,31,37,43,64,75,81
9/15  Review (not for credit)
      p 550 5,6,7,11,13,15,17,21,25,29,31,33,37,
        47,49,51,55,59,61,65,71,72,74,76,79,82
9/17  TEST on chapter 7 and p564 7,11,13,23,27,29,
        35,39,49,61,63,73,80,83
9/21  p573  5,10,14,19,21,23,26,35,38,43,45,53,
        56,57,62,77,82,85,92,101
9/23  p580  4,7,23,29,35,39,47,51,53-64all
9/25  finish 8.1-3
9/29  Review for test and
      p587  3,5,11,15,17,23,25,29,31,33,35,48,55,56
10/1  TEST on 8.1-3 then
      p595  11,13,17,19,21,23,25,29,33,35,
       37,41,43,47,51,53,69-78
10/5  p603  2,3,14,23,28,31,45,47,51
10/7  review p564 5,7,9,47,57,77,78  
       p573 1,7,23,35,39,55,57,59,61
       p580 1,3,11,13,15,17,37
       p587 3,5,17,19,23   p595 11,13,23,41,45,49,53
       p603 21,23,27,35,41
10/9  TEST 8.1-8.6 and start 8.7:
      p613 13,15,18,20,25,29,41,45,46,51,53
10/13 p623 7,13,17,21,27,29,31,35,48,59-62
10/15 finish p623
10/19 Review for 9-weeks test
10/21 9-weeks test and p631 5,7,15,21,27
10/23 work on p631
10/28 p 641 1,5,7,23,31,35,50,59
10/30 Review
11/3  TEST 8.7-10
11/5  p418 6,31,67   p430 11,60,61
      p437 4,14,19,37   p447 5,9,11,13,15,29,33,35,37
      p456 3,9,15



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