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The two Syllabi at the
left are different from the one-page document given to the students on the
first day of class. These are the "official" course syllabi required
by the College Board's AP Audit. Each contains information on the
course philosophy, prerequisites, resources, assessments, and a topics
outline. The AB version is an older version since I haven't taught
that course in a while, but the BC version is current. Click one of the buttons to open
and/or print the appropriate file.
My specific RHS faculty page can be found by clicking the
Homework button. It is updated
daily with assignments and any upcoming quizzes or tests.
The College Board
has a website dedicated to AP courses, and you can click the
AP Central button at the left to check
it out. The site includes general information about all Advanced Placement courses,
including philosophies, prerequisites, topic outlines, and practice
questions. You do have to register to be a member of AP Central (it's
free), but there is a ton of information.
Students can click
the Textbook button to visit the
Pearson/Prentice Hall (our textbook's publisher)
website for practice quizzes for each chapter. There are also several
web links specific to most sections in the textbook, most of which appear to
be helpful.
I'm trying to keep all of our major labs and activities
posted on a separate page in an effort to reduce clutter here and copying at
school. Click the Labs button at
the left to locate them.
Other Information and Activities:
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Summer Packet Information.
For those of
you who are incoming calculus students, here are a few pieces of
information that you might need or find useful.
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Summer
Packet - Here is the "summer packet" for all incoming AP
Calculus BC students. Students should complete it at
their convenience over the summer break. Unlike some AP courses,
completion is not a requirement and there will be no grade associated
with this. Students are, however, expected to understand the
material contained in the packet when they enter class on
the first day back. Please note that this is a different packet
than the one used for the AB course. UPDATE, 6/17: There
was a typo in #33 that has been corrected. |
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Summer Packet
Answers - Here are the answers to the summer packet.
You should check your answers with this document and rework any that
are incorrect. If you continue to get the wrong answer, email me
for help. |
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Classroom Information.
The files in this section are more-or-less of an
administrative nature, but I thought having them here in one place might help the semester
go smoother for everyone. Feel free to print out whichever ones
you like
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BC Class
Syllabus - Here is the syllabus for the fall semester course given
out in class on the first day of school. It contains a brief
overview of the course, grading and classroom policies, and contact
information. For the record, this is not the same document as
the "official" course syllabus required by College Board (that can be
found by clicking the BC Syllabus button above at the left). |
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BC Quarter
Plans - This is a copy of what what some might call a pacing guide
for the year. I adjust it several times throughout the semester, but it
should give you an idea of what needs to be done and the pace at which we
have to do it! |
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Textbook
Problems - I used to post all of the textbook assignments here,
but have found it better for students to have those unit-by-unit since
we bounce around so much in the textbook. I'm now including each
instructional unit's assignments along with the learning targets in the
Unit Review Information section below. For
the record, the daily homework assignments - including worksheets and
other activities - can be found on the RHS homework site (just click the
"Homework" button above). |
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Classroom Resources.
Here is a little collection of files that should help
supplement what we do in class. I'll try to add more things as
they pop up in class.
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Parent Functions Review -
I have mentioned several times in class that knowing the general
behavior of a few basic functions is key to being successful in
calculus. This document illustrates the most common parent
functions, and many students like to print this off and keep it in their
notebooks for quick reference. |
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Limit Introduction -
Here is a worksheet that summarizes the numerical and graphical
approaches to evaluating limits. I think the extra practice makes
for a good review on the topic. Here are my
solutions. |
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Continuity Introduction - This version of the worksheet given in
class provides some answers and a few other details (including some
terminology).
Here's a blank copy of the
handout.
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Numerical Derivative Introduction - This document introduces how to
find numerical derivatives analytically, graphically, numerically, and
using the calculator. There is one example worked out using each
of the four methods. |
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Derivative
Review - This is just a summary of the common derivative rules and
patterns used in this course. |
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Curve
Sketching Summary - I put this together rather hurriedly (that's
code for let me know if you see something wrong), but it should
help with all of those graph behavior problems. |
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Integral Review
- Big surprise... this is a summary of the common integral rules and
patterns used in this course. |
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Integration by Parts - Here's a little document demonstrating the
"table technique" for evaluating certain integrals that require
integration by parts. |
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Euler's Method
- This document was written to
demonstrate how to use Excel for Euler's method of approximating
solutions to differential equations. For the record,
it is assumed the reader knows a little about Excel and a lot about
Euler's method. |
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Convergence Test
Conclusions - Some students have asked for a sample of how one
should answer problems that require the use of the many convergence
tests used in class. This document should
help answer those questions. |
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Euler's Identity
- I just thought this was a neat way of using power series to prove one
of the cooler equations out there. |
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Unit Review
Information.
This section
was cleared out over the summer, but here is where I will post each
instructional unit's
review information throughout the year. Once any quizzes or tests are completed, I'll
also post those along with their solutions.
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Major Exam Resources.
The following links are a few files that you might find
useful in preparation for both my major exams in class and the actual AP
exam in May. I hope to add to this
list as the semester goes one, so check back from time to time. If you have any
suggestions, please let me know!
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1st Semester Exam. When the time comes, I will post the
study guide for the midterm exam here. |
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2nd Semester Exam.
For those that have to take the final exam, I will post the study
guide for it here. |
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AP Exam Review - This document presents a quick overview of the
topics covered on the AP exam. The first couple of
pages list a few patterns and techniques for differentiation and
integration - think of it as a refresher for some of those obscure
calculations. The last couple of pages lists out the topics that
are common on the AP exam - I encourage you to look over those and study
the topics that are more-or-less vague to you. |
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2010 BC
Exam's Solutions - Here are my solutions to this year's FRQ's (the
questions themselves can be found on the College Board's
site). I did these kinda quick, but I think everything is
accurate... if you find an error, please let me know and I'll make the
correction. |
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Textbook Review
- This is actually a student-created document using a different
textbook, but I thought I'd leave it here until I can get it updated. It
basically goes through the textbook in a linear fashion highlighting
topics that should be reviewed prior to the exam. Some topics
refer back to notes within a section of the textbook - these topics
were presented in that lesson, but are not explicitly in the textbook. |
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TI-89 Mini-Tutorials.
I had to
create a few tutorial presentations for one of my online courses about
the uses of the TI-89 calculator in a calculus course. I thought
others might find them helpful for certain topics. The
presentations below cover most of the important uses in AB, and I hope
to add more (including BC stuff) soon.
NOTE: These presentations assume the older OS... I'm hoping to
eventually edit these to include some of the newer features (such as the
impDif() command).
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Advanced
Placement Averages.
For those
interested, the table below shows the test averages for students taking
the AP exam at my school.
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The data for 1999 and 2000 is for South Cobb High School, GA.
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The data for 2001 through 2008 is for Kennesaw Mountain High School, GA.
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The data for 2009 and 2010 (once available) is for Ravenwood High School, TN.
For the
record, this data is not just for my students (that can be found
here),
but rather all AP Calculus students at my school. As programs have
grown and I've changed schools,
I have had the opportunity to share these wonderful classes with others!
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Exam
Year |
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AB
Exam |
Number
of Students |
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BC
Exam |
AB
Subscore |
Number
of Students |
|
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1999 |
- |
3.077 |
13 |
- |
N/A |
N/A |
N/A |
|
|
|
2000 |
- |
4.000 |
3 |
- |
N/A |
N/A |
N/A |
|
|
|
2001 |
- |
4.000 |
2 |
- |
N/A |
N/A |
N/A |
|
|
|
2002 |
- |
4.417 |
12 |
- |
4.800 |
4.800 |
5 |
|
|
|
2003 |
- |
4.857 |
7 |
- |
4.743 |
4.846 |
13 |
|
|
|
2004 |
- |
4.500 |
12 |
- |
4.550 |
4.800 |
20 |
|
|
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2005 |
- |
4.286 |
7 |
- |
4.700 |
4.800 |
50 |
|
|
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2006 |
- |
4.000 |
12 |
- |
4.213 |
4.681 |
47 |
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2007 |
- |
3.429 |
28 |
- |
4.543 |
4.804 |
46 |
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2008 |
- |
3.696 |
23 |
- |
4.644 |
4.889 |
45 |
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2009 |
- |
- |
- |
- |
- |
- |
- |
|
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2010 |
- |
- |
- |
- |
3.813 |
- |
16 |
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Software
Downloads.
The links below take you to various places
where you can download various software applications you might find
useful in class. Some are freeware, others are free trials and
require purchase after a period of time.
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Advanced Grapher
is a graphing software application that allows students to graph relations
of different types in one window, then copy and paste them into other
applications. This versatile program has proven useful for students in
their lab reports and other graphing activities. A product key is
required after 30 days.
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GCalc is a free online graphing program that
has several capabilities useful in class.
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MathGV is another
graphing software application that allows students to create certain
three-dimensional graphs. This one is especially helpful when working with
solids of revolutions.
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JOde is an applet for creating slope fields for differential
equations. You can also approximate solutions using Euler's method.
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TI InterActive!
is a software application from Texas Instruments that is basically a word
processor and graphing calculator in one. The language is practically
identical to the TI-89. Follow the link for more information and a downloadable demo version.
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| Just For Fun.
Here are a few
quotes from class, as recorded by the 2003 group...
"That test was
so easy!"
"Factorial
SCREAMS ratio test."
"How do you
not know that?"
"Partial
fraction decomposition is easy for the 'calculurs' master."
"How do you do
this integral thing again... just derive four times?"
"Well... if
you can't plug numbers into a calculator by this time, you shouldn't be
taking the AP test."
"Did you know
that e ip
+ 1 = 0?"
"It's all about the recreational math!"
"The Chain Rule... how can I forget the Chain Rule!"
"Remember the trig..."
"Ah, trig... my old nemesis."
"Yeah... that's why the laptop says 'I suck' on it." |
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