AP CALCULUS SUMMER ASSIGNMENT 2008
Your summer assignment has two components. The first part consists of completing the questions on the attached page. Do all work on loose leaf, showing work as necessary. You will be given a grade for this assignment based on completeness, accuracy and neatness. This written portion of your assignment is due the first day of class in September. Extra credit will be given if submitted during orientation week in September. If you have any questions or difficulties, you can email me at the address below.
The second component of your assignment involves reading and completing the tutorials on several websites listed below:
1. DEFINITION OF A FUNCTION:
http://archives.math.utk.edu/visual.calculus/0/functions.11/index.html
(Click of "Discussion", using Flash and each of the 4 representations of functions. Also do the domain questions (#1-5) in the drill and check your answers)
2. TYPES OF FUNCTIONS:
http://id.mind.net/~zona/mmts/functionInstitute/functionInstitute.html
Complete the sections on:
Linear functions: click on " slope-intercept" and "point -slope" forms, click on "you control" and change the values and watch how the graphs change.
Polynomial functions - click on Definition, roots, synthetic division. For the graphs, change constants a-f for polynomials of degrees 0 to 5 and watch how the graph changes.
Problem to solve: find the values for a degree 4 polynomial so the graph looks like the letter "W"
Rational functions - click on definition and a simple rational function: 1/x and its transformations (Move sliders for a, b, h, k and watch how graph changes.)
3. MATH GALLERY - TEST ON FUNCTIONS:
http://www.univie.ac.at/future.media/moe/tests/fun1/erkennen.html
(Drag the equation to the correct graph. Try at least 3 sets of problems)
4. LESSON ON LOGS:
http://www.themathpage.com/aPreCalc/logarithms.htm
(Read the notes and the examples and try the practice problems)
5. TRANSFORMATIONS OF FUNCTIONS:
http://www.purplemath.com/modules/fcntrans.htm
(Read through each of the four pages of this site until you can do the transformations on your own.)
(Print the page and try each of the examples)
6. TRIGONOMETRY
http://www.univie.ac.at/future.media/moe/galerie/fun2/fun2.html#sincostan
Click on the applet: Graphs of sin, cos and tan. Teview the shapes of the graphs and the amplitude and period.. Then click on the applet: Recognize Functions 3 and match equations to graphs. Try at least 2 sets of graphs. Next click on the applet: Recognize Graphs 3 and drag the equations to each graph. Try at least 2 sets of graphs.
http://www.themathpage.com/atrig/graphs-trig.htm
(Read and answer the questions. Click on the green bars to see the answer)
As you complete the tutorial for each website, send me an email about your progress, telling me which sections you completed, which sections were helpful, which material was new to you, etc. Extra credit will be given for any reports submitted by July 28th. FINAL DUE DATE IS AUGUST 25.
There are links to these websites on the AP Calculus Summer Assignment page on my website:
http://teacherweb.com/NY/CardinalSpellmanHighSchool/MrsLaMassa
My email address is: mlamassa228@hotmail.com
MATERIALS NEEDED FOR AP CALCULUS:
TI-83 OR 84 TI-83+OR 84+ GRAPHING CALCULATOR
LARGE NOTEBOOK
LARGE 3-RING BINDER
LOOSELEAF
PENCILS
4 X 6 INDEX CARD SPIRAL NOTEBOOK
MATH NOTEBOOKS FROM PREVIOUS MATH COURSES
If you have any questions, please see Mrs. LaMassa in room 229 before the end of the school year, or send an email to the above address.