June 4,2013
Dear Parents/Guardians:
This year we will be using Edmodo in Calculus. Edmodo is a free and secure learning network for teachers, students, and schools. It provides a safe way for us to connect, share content, access homework, participate in discussions and receive class information. You child’s participation on Edmodo will be continually reviewed and monitored by the teacher.
Before your child may begin to participate on Edmodo, we ask that you discuss the following guidelines with your child. Please return the signed form to the teacher.
Edmodo Guidelines for Students:
- I will follow all common sense rules for using computers and staying safe on the Internet.Students will adhere to AnneArundelCounty’s Acceptable Use Policy found in the Student Handbook. - see pages 3, 28.
- I understand that Edmodo is first and foremost a tool for learning and an extension of the classroom. All participation on Edmodo will be school-appropriate in content and format (appropriate spelling, grammar, sentence structure, etc. conventions will be followed).
- I am expected to protect my own identity and the identity of other class members by using firstnames or initials only.
- I agree to protect my username and password by never sharing my own or those of my classmates.
- I agree to submit entries that are my own work and not that of someone else. For any work that is not my own, I will clearly cite the source.
- Students who do not abide by these guidelines may lose their opportunity to take part in the Edmodo class community.
- Inappropriate use of these resources may result in disciplinary actions.
Student Signature
Parent Signature ______
Date ______
Edmodo.com
Group Code: iy9bbc
AP Calculus Summer Assignment
In addition to knowing the six trig values of the special angles on the unit circle, we expect you to complete the following textbook exercises and worksheet problems. These problems cover prerequisite skills necessary for your success in calculus. We will periodically check our email accounts throughout the summer- please feel free to email us if you have questions. These problems are due on the first day of school with all work shown.
Mrs. Braun ()
Mrs. Lebowitz ()
Section 1.1 – Four Ways to Represent a Function
Pp 22–24 (#1-2, 5-8, 11-12, 19, 21-23, 37-40, 45-46, 51-54, 57-66)
Section 1.2 – Mathematical Models
Pp 36–36 (#3-5, 8-14, 17-18)
Section 1.3 – Composition of Functions
Pp 45–48 (#1-7, 27-30, 35, 37, 39, 54-56)
Section 1.4 – Graphing Calculators and Computers
Pp 53–54 (# 1, 21-27)
Worksheet (1-53)
Unit Circle Quiz – First Day of School!
You must be able to label the unit circle in radians and label the (cosine, sine) ordered pairs.
Write the equation of the following in slope intercept form or point-slope form.
1. The line through the points (2, 4) and (4, -5).
2. The line with slope 3 passing through the point (4, -2).
3. The line perpendicular to 2x – 4y = 8 passing through the point (1, -2).
Simplify the following:
4. 5. 6.
7. 8. 9.
Solve the following for all real values of x.
10. 11. 12.
13. 14.
Trigonometry Review
15. A 20 foot ladder rests against a building 15 feet from the floor. How far does the ladder extend from the base of the wall? What angle does the ladder make with the ground?
Solve the following for the principal values of the indicated variable.
16. 3cosx – 1 = 217. 2sin(2x) -= 018. tan2x – 1 = 0
Complete the following trig identities.
19. 20. 21.
22. 23. 24.
Solve each triangle. (Find the lengths of all sides and the measures of all angles)
25. 26.
Determine whether the functions, whose graphs are pictured below, represent even functions, odd functions or neither.
27. 28. 29. 30.
31 32. 33. 34.
Determine whether the following functions are even, odd, or neither. Show your work.
35. f(x) = x5 – x36. f(x) = x6- 8x2 + 437. f(x) = 3x3 – 1
Let and . Find the following.
38. F(x)G(x)39. F(x)/G(x)40. F(G(x))
41. G(F(x))42. F(x) + G(x)43. F(G(-3))
Find the average rate of change for the following functions on the indicated intervals.
44. f(x) = x3 -2x; [0, 4] 45. f(x) = ; [4, 25]
46. A car travels 420 miles in a period of 210 minutes. Find the average velocity of the car in miles per hour over this time period,
47. On January 1st 2003, the value of a stock was $135 a share. By December 1st 2003, the value of the stock had fallen to $38 a share. What is the average rate of change in the value of the stock in dollars per month?
48. In 1984, the Fizzy Cola company sold 23 million gallons of soda. By 2003, the company was selling 127 million gallons of soda. What is the average rate of change in the number of gallons of soda per year.
49. During a recent trip to the store, a car's velocity went from 0 to 60 mph in 20 seconds. What is the average acceleration of the car in mile per hour per hour?
For each of the following:
a) Find the average rate of change of the function on the indicated interval.
b) Draw a line through the curve crossing through the endpoints of the interval.
c) Find the slope of this straight line.
d) Compare the slope with the average rate of change.
50. f(x) = x2- 4x; [0,4]51. f(x) = 3/x; [1, 3]
Divide the following using polynomial long division:
52. (2x3 + 5x2 – 3x + 2) (x + 1) 53. (x5 + 3x3 – 4x2) (x2 + 5)
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