Ms. Murray AP Calculus BC Summer Assignment 2015
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Dear Prospective AP Calculus BC student,
Welcome to AP Calculus BC!
This assignment is due the first day of class. There will be a test on this assignment on the second day of class.
This year we will be using Khan Academy for summer work. Instructions are included in this packet.
I will be available over the summer via email at amurray@rbrhs.org if you have any questions. I will also be holding
optional help sessions from 1 am to 3 pm, in Room 210, on the following dates:
June 29, June 30, July 14, and July 15
Please note that it is recommended that you purchase a TI-84+ or TI-89 graphing calculator, since we will be using
it in class during the year, you will need it to complete the summer assignment, and it is necessary for the AP exam.
Please see Ms. S. Zielinski, Math Department Supervisor, if you need to borrow one from the school due to
financial circumstances.
Please send me an email acknowledging your receipt of this packet as soon as possible so that I can easily
construct an email list and keep you posted as to the summer help schedule.
Enjoy your summer and I look forward to having you in class next year!
Sincerely,
Ms. A. Murray
Teacher of Mathematics
Red Bank Regional High School
Little Silver, NJ 07739
Website: http://msamurrayrbrhs.weebly.com/
Email: amurray@rbrhs.org
Use this handout as the first page of your summer work notebook. You must return the signed
statement below on the first day of school:
I certify that this is my own work and I understand that in order to be successful in AP
Calculus BC, I must understand the material presented and practiced on Khan Academy.
Student signature:______________________________________________
Ms. Murray AP Calculus BC Summer Assignment 2015
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Part 1. Review of Trigonometry, Vectors and Combinatorics
Some Important Points about this Assignment:
1. We will be using Khan Academy this year; it is an on-line learning system that keeps track
of your progress. It is dynamic, interesting, and individually-paced.
2. Just because the content is delivered on the computer does not mean that you are not
supposed to use pencil and paper to figure out the problems.
3. You will keep your notes and solved problems in a spiral notebook or binder which I
will check on the first day of school. Each section should be labeled with the topic and
I should see a reasonable amount of work for each topic.
4. On Khan Academy, I can see your progress and how much time you have spent on this
assignment; if you are not at least at the “Practiced” level of a topic, you will not get
credit for it.
5. I recommend that you begin this assignment early in the summer. Use the summer help
sessions to resolve any questions you have. Do not wait until the last minute!!
6. This entire assignment counts as a 100-point Homework grade.
Let’s Get Started!
First, setup your account for AP Calculus BC:
Step 1: Go to www.khanacademy.org using Google Chrome as your browser.
Step 2: In the top right hand corner of the screen click the Green Log In button. This will bring you
to a new screen (even if you do not have an account click the button).
Step 3: **If you have an account, type in your user name and password and go to Step 4.
**If you DO NOT have an account, you will need to create one. Click the green “Start
Learning now” button.
Follow all of the steps to create an account; you will need to verify your email address before you can
start. Once you have verified your email, please log in to Khan Academy and go to Step 4.
Ms. Murray AP Calculus BC Summer Assignment 2015
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Step 4: On the top of the page you will see a bunch of options, as shown below:
Click the Coaches option
Step 5: On the next page you should see the image below. Under “Add a coach” please type in
5AU3DH; this will assign me, Ms. Murray, as your coach and I will be able to see your progress
on the assignments.
Welcome to the 21st Century classroom!!
What do you need to do next?
When you log in to Khan Academy, take the Pre-Test, if you haven’t already done so. Take it seriously
so that you won’t be practicing things you already know. Your first mission should be set to
Trigonometry. You can’t get credit for practice unless you take the Pre-Test.
When you log on to Khan Academy you will see your dashboard similar to that shown below:
Ms. Murray AP Calculus BC Summer Assignment 2015
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After taking the Pre-test, click on the Learn tab at the top left of the screen, then Math, then
Trigonometry. You will see this:
Khan Academy offers both videos and activities. Videos have a play button
and activities have a
star button . The topics available are shown on the right of the screen above. When you click on
the topic, it will direct you to a page of sub-topics.
An example is shown below
This is an activity on “Trigonometry”
that you are required to practice. If
you do not get any of the questions right
or are struggling a bit then you should
stop and watch the video(s). Then
practice the skill again.
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Ms. Murray AP Calculus BC Summer Assignment 2015
Complete each of the
activities in this topic. Watch additional videos if you need to review a topic.
Once you are done with Trigonometry, go to the Learn tab on your Dashboard and pick Math, then
Differential Calculus. Watch all the videos and complete all of the
activities on the Limits subtopic. Watch the videos and do the activities in the three topics listed below from the Taking
derivatives sub-topic.
Record your notes and work in your notebook. The star will turn blue when you are practiced
in the activity, which helps you keep track of your progress. You can also use the “Progress” option on
the dashboard. You must be practiced in every skill to get full credit for this assignment.
Topic List: Trigonometry - 30
Activities Total, videos are optional
Basic trigonometry – all activities
Unit circle definition of trig functions – all activities
Graphs of trig functions – all activities
Trig identities and examples –all activities
Topic List: Differential Calculus - 13
Activities Total
Limits – all videos and activities EXCEPT “Old Limits Tutorial” – 9 activities, 31 videos
Taking derivatives – 4 activities, 19 videos
Watch videos and do the activities for the sub-topics as described below:
Introduction to differential calculus – video and take notes
Using secant line slopes to approximate tangent slope – all videos and activities
Introduction to derivatives- all videos and activities
Visualizing graphs of functions and their derivatives- first video and activity “Derivative
intuition”