AP Calculus AB (Period 3) Assignments

Due by 11:59pm:

Submit a "working draft" of the script for your video. The script should contain detailed scene descriptions, dialogue, as well as detailed direction.

Create a post on Google Classroom for AP Calculus that includes all of your group members names. Attach the Google Doc script to the post.

Join the AP Calculus Google Classroom: code = y2w62q1

 

Read the announcements to get specific directions for this project. Attached is a copy of the directions and grading rubric.

 

Your first assignment is to submit a video proposal:

One person from each group should submit a proposal for your video by midnight on Monday, 5/11. Within the Google Classroom, there is a link to a form you will submit where you will select your period, fill in the group member names, and write a brief description of what your video will about - What type of video will you make? How will you incorporate calculus topics into your video?

AP Review Packet will be checked on Monday 5/4/15. Please check your answers (see attached) and ask questions on Monday!

Take Home Quiz Due Monday, 4/27

 

Hint for #1:

y/(y+1) = 1 - 1/(y+1)           (by division)

HW 7.1: pg 452, #1, 3, 5, 17, 21, 27, 29

 

Note: All of this week's HW will be checked on Thursday 4/23.

Print the attached AB Review Guide and bring it to class.

 

NOTE: Do not print this in our school library.

HW 7.2: pg 463 #1-13 odd

Write an integral for each problem. You may use your calculators to evaluate the integrals.

AB Review Assignment: Part I (due on Friday of the week we return from Easter vacation)

 

You will receive credit for showing work for each problem or giving a thorough answer to each question. Attached is a list of answers to help you make sure you're on the right track. 

HW 6.2A: pg 418 #1-13 odd

Study for Chapter 5 Test.

Bring a Scantron and calculator.

Finish the review problems that were distributed in class today.

 

The Chapter 5 Test is on LAB Day (3/18-19)

Test Topics include:

I. Exponential and logarithmic functions: general properties
II. Derivatives and integrals involving base e exp and ln functions
III. Derivatives and integrals involving bases other than e
IV. Derivatives of inverse functions
V. Derivatives and integrals involving inverse trig functions
VI. Applications of derivatives (tangent line) and integrals (area)

HW 5.7
Pg. 385 #1-23 odd

HW 5.6B: pg 378 #41-63 odd

HW 5.6A: pg 377 #5-27 odd (skip #13, 15)

HW 5.5B:
Pg. 366 #61-71 odd

HW 5.5A:
Pg. 366 #37-51 odd

HW 5.4:
Pg. 357 #35-51 odd (skip 47)
Pg. 358 #85-101 odd

HW 5.3:
Pg. 347 #1-33 eoo +71, 73, 75

 

Quiz: Monday, March 2
• 15 MC Questions (1 point each)
• Bring a Quiz Strip
• Topics include…
Natural Log Functions (domain, properties)
Derivative of Natural Log Functions (implicit)
Writing Equation of Tangent Line
Integral Rules for Natural Log and Trig Functions
Finding Area
Differential Equation
Inverse Functions (Finding the inverse, derivatives)

HW 5.2B: Natural Log and Trig Functions Worksheet

HW 5.2A:
Pg. 338 #1-19 odd +26, 27, 47, 67

HW 5.1B

The Natural Log Function Differentiation Homework Worksheet

HW 5.1A:
pg. 329-330
#13-33 every other odd
#45-59 odd

Bring the yellow AP signature sheet for homework points!

Chapter 4 Review Assignment #1:
Pg. 316-318
#3-9 odd, 28, 40–50 even, 61-73 odd (Note: I took #30 off of the list.)

Chapter 4 Review Assignment #2:
Worksheet will be distributed in class on Tuesday.

Both review assignments are due on LAB day.

 

Here is some info about the test:

 

Chapter 4 Test: LAB Day 2/11-12
Multiple Choice (no calculator)
Free-Response (calculator okay)

Topics to Study:
I. Indefinite Integrals (inc. finding value for "+ C")
II. Finding area using rectangular approximation (left, right, midpoint)
III. Finding area using area formulas for common geometric figures
IV. Evaluating definite integrals using FTC
V. Finding average value (inc. finding the value of "c")
VI. Integration by substitution
VII. Trapezoidal Rule
VIII. Accumulation Function

Both Ch. 4 review assignments are due on LAB day.

Review Assignment #1:
Pg. 316-318
#3-9 odd, 28, 40–50 even, 61-73 odd
(ignore #30)

Review Assignment #2: 

Attached is a copy of the second review worksheet (with answers included).

HW 4.s: Problems #1-3 on The Accumulation Function Homework worksheet. We will do #4 together in class on Monday.

4.6 Trapezoidal Rule worksheet

 

*NOTES:

1. We will go over this assignment in class on Thursday, but I will not collect it until Friday.

2. If you are going on the Kairos retreat, please turn in this assignment on Monday, 2/9/15.

Hw 4.5B U-Substitution Practice Worksheet

HW 4.5A

Pg. 304-305
#3-33, 45-54 (multiples of 3 only)

Use u-substitution for all of these problems. There is no need to “check the result by differentiation.”

Study for tomorrow's quiz (no calculator).

 

The quiz covers sections 4.2-4.4

4.2
• Approximating area using left-, right-,
or mid-point sums
4.3
• Using geometric formulas for area to
evaluate integrals
• Properties of definite integrals
4.4
• Evaluating definite integrals using the
FTC
• Average value

 

Here are some problems I suggest you do to help you study:

 

Page 316-317
#28 -- use left-end (upper sum) and right-end (lower sum) approximation
#39-49 odd
#61

HW 4.4B: Pg. 291 #33-49 odd

HW 4.3: pg. 278-279 #13-43 odd

4.2 Area Under a Curve worksheet

HW 4.1B:
pg. 255 #55-63 odd +#77, 79

Study for quiz: 

Covers section 4.1, symbolic differentiation, comparing graphs of f(x)/f'(x)/f''(x)

You may use your basic integration rules sheet on the quiz.

Don't forget "Jeg elsker matematikk!" :)

HW 4.1A:
pg. 255 #9-45 odd (no need to check the result)

Finish writing the paragraphs about the f(x)/f'(x)/f''(x) graphs.

Symbolic Differentiation worksheet