Calculus I

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Per 2 - A: Block 2: 9:16-10:36
Day
ABC
ACE AP Calculus – AB
Period 2: Semester 1
AB Cycle Assignment Guide
Date
Wednesday, July 31
1
2
3
Finish Basic Graphs (last page)
from Summer Packet 1-22
Basic Graphs Sheet, Why Calculus?
1.2 – Limits: Graphically &
Numerically
Textbook: p. 54: 1, 3, 7, 8, 9-27 odd
What Is Calculus?
Thursday, August 1
Finish 1.2
1.3 – Limits: Analytically
Textbook: p. 67: 3, 19, 21, 27-79
odd
Worksheet: Finding Limits Analytically
1-27 all
Monday, August 5
Quiz 1: Section 1.2
A
B
A
B
6
7
8
A
B
A
Friday, August 9
Quiz 2: Section 1.3
Textbook: p. 80: 63-67 all, 112
Worksheet: Continuity and Differentiability
1-7 all
Intermediate Value Theorem
1.5: Limits at Infinity, Vertical
Asymptotes
1.2 (Revisited): Delta-Epsilon (δ-ε)
Definition of Limit
Quiz 3: Section 1.4
Textbook: p. 80: 91, 93
p. 88: 19, 24, 25, 29, 33, 39, 41, 43, 55
p. 56: 39, 40, 43-46
Epsilon-Delta Challenge
Limits Enrichment
Review Unit 1
Unit 1 Exam: 1.2-1.5
Wednesday, August 14
2.1: Definition of Derivative: Tangent
Line Problem
B
Textbook: p. 103: 1, 4, 7, 18-24 all,
37, 39-42 all, 45-52 all
Derivative Function
Sign of the Derivative
A
2.1: Definition of Derivative:
Derivative at a Point,
Differentiability and Continuity
Textbook: p. 106: 73-81 odd, 89-92
all, 94, 96, 97
Differentiability and Continuity
Worksheet: Continuity and Differentiability
8-11 all
Monday, August 19
10 B
Wednesday, August 21
11 A
Evaluating Limits Graphically
Textbook: p. 78: 1-5 odd, 11-19
odd, 39-53 odd, 59
Worksheet: Graphical Approach to Limits
1-18 all
Tuesday, August 13
Friday, August 16
9
Class Procedures
1.4: Continuity: Continuity at a Point,
One Sided Limits
1.4: Continuity: Finding Constraints
That Guarantee Continuity
Thursday, August 8
5
Assignment *
Course Description
Distribute Books and TI-Nspire
Calculators
Tuesday, August 6
4
Topic / Activity
Per 2 - B: Block 1: 8:00-9:10
2.2: Basic Derivative Rules: Power
Rule, Derivative of Sine and Cosine
Textbook: p. 115: 5, 7, 9, 13, 19,
21, 23, 31, 35, 37, 41, 43, 47, 49, 51,
53, 57, 59, 63, 65, 66
Worksheet: Techniques of Differentiation
1-15 all
2.2: Basic Derivative Rules: Rates of
Change, Position & Velocity
Textbook: p. 117: 93, 95, 97-100
all, 117, 118
Quiz 4: Section 2.1
Thursday, August 22
2.3: Product Rule
Quotient Rule
Higher Order Derivatives
12 B
13 A
Quiz 5: Section 2.2
Monday, August 26
Finish 2.3
Worksheet: Techniques of Differentiation
16-40 all
Tuesday, August 27
Quiz 6: Section 2.3
Textbook: p. 137: 9, 13, 17, 21, 29,
31, 33, 45-65 odd, 75, 79, 91, 94,
109, 110, 120, 123, 124, 125
Worksheet: Differentiation by the Chain
Rule - 1-37 all
Worksheet: Differentiation of
Trigonometric Functions 1-18 all
2.4: Chain Rule
14 B
Friday, September 30
Quiz 7: Section 2.4
Finish 2.4
Review Unit 2
15 A
16 B
Tuesday, September 3
Unit 2 Exam: 2.1-2.4
Worksheet: Straight Line Motion
1-13 all
Thursday, September 5
2.5: Implicit Differentiation
Textbook: p. 142: 1, 5, 11, 13, 15,
21, 26- 28 all, 32, 39, 45, 47, 49, 5659 all, 61
17 A
Worksheet: Implicit Differentiation 1-15 all
Friday, September 6
2.6: Related Rates: Introduction,
Areas, Volumes
Textbook: p. 154: 1-7 odd, 11-16
all, 18, 19
Worksheet: Related Rates
1-27 all [Due Tuesday, September 18]
Tuesday, September 10
Quiz 8: Sections 2.5-2.6
Textbook: p. 154: 20-26 all
18 B
2.6: Related Rates: More Volumes,
Right Triangles
19 A
20 B
Wednesday, September 11
2.6: Related Rates: Right Triangles,
Shadow Problems
Textbook: p. 154: 27-34 all
Friday, September 13
Quiz 9: Sections 2.6
Textbook: p. 154: 42-45 all
2.6: Related Rates: Angular Rates of
Change
21 A
22 B
23 A
Textbook: p. 126: 1-17 odd, 39-45
odd, 51, 53, 69, 70, 74, 75, 81, 82,
97, 103, 105-108 all, 118, 119
Monday, September 16
Review Unit 3
Wednesday, September 18
Unit 3 Exam: 2.5-2.6
Thursday, September 19
3.1: Extrema on an Interval
24 B
Textbook: p. 169: 17, 19, 23, 27,
29, 33, 36, 41-43 all, 57-60 all
Worksheet: Finding Absolute Max’s and
Min’s -
1-10 all
Monday, September 23
25 A
Quiz 10: Sections 3.1
3.2: Rolle’s Theorem
Mean Value Theorem
Textbook: p. 172: 5, 11, 15, 17, 19,
27, 29, 39, 43, 46
Worksheet: Rolle’s and The Mean Value
Theorem
1-18 all
Tuesday, September 24
Quiz 11: Sections 3.2
Enrichment Worksheet: “Mean
Value Theorem”
Thursday, September 26
3.3: Increasing and Decreasing
First Derivative Test
Textbook: p. 186: 1, 5, 7, 11, 15,
23, 27, 29, 37, 39, 41, 78, 87
Friday, September 27
3.3: Increasing and Decreasing
First Derivative Test
26 B
27 A
28 B
29 A
Quiz 12: Sections 3.3
Tuesday, October 1
3.4: Concavity
Second Derivative Test
Wednesday, October 2
3.4 Concavity (continued)
Review Unit 4
30 B
31 A
3.2: Rolle’s Theorem
Mean Value Theorem
Quiz 13: Sections 3.4
Textbook: p. 195: 7, 11, 15, 25, 27,
35, 45, 49, 51, 65, 67
Enrichment Worksheet:
“Inc/Dec/Concavity”
Friday, October 4
Unit 4 Exam: 3.1-3.4
Monday, October 7
3.5: Limits at Infinity
Textbook: p. 199: 15, 17, 19-37
odd, 61, 65, 89, 91
Worksheet: Finding Limits Analytically
28-39 all
Wednesday, October 9
Quiz 14: Sections 3.5
3.6: Curve Sketching
Textbook: p. 215: 9, 19, 27, 31, 37,
40
Worksheet: Function Analysis
1-5 all
1-Hour Delay
Textbook: p. 223: 9, 11, 13, 17, 18,
21, 22
32 B
33 A
Thursday, October 10
3.7: Optimization
34 B
FALL BREAK
35 A
Monday, October 28
3.7: Optimization
Textbook: p. 224: 23, 25, 26, 27,
29, 31
Tuesday, October 29
Quiz 15: Sections 3.6
Textbook: p. 225: 32, 33, 39, 40,
42, 54, 59, 60
Worksheet: Optimization Problems
1-14 all
3.7: Optimization
36 B
37 A
38 B
Review Unit 5
Friday, November 1
Unit 5 Exam: 3.5-3.7
Tuesday, November 5
4.1: Indefinite Integrals
Textbook: p. 255: 15-43 odd
Worksheet: Indefinite Integration
1-28 all
Wednesday, November 6
4.1: Indefinite Integrals
Textbook: p. 256: 45-65 odd, 71,
73-76 all
Friday, November 8
Quiz 16: Sections 4.1
Textbook: p. 267: 3, 9-13 odd, 21,
27-35 odd, 41, 43
Worksheet: Sigma Notation
39 A
40 B
41 A
Worksheet: Economic Function Analysis
1-10 all
Thursday, October 31
4.2: Area and Riemann Sums
1-18 all
Monday, November 11
4.2: Area and Riemann Sums
Textbook: p. 268: 37, 39, 49-53
odd, 57-63 odd, 73-76 all
Worksheet: Finding the Exact Area Under a
Curve 1-5 all
Wednesday, November 13
Quiz 17: Sections 4.2
Textbook: p. 278: 13-22 all, 27-31
odd
42 B
4.3: Area and Riemann Sums
43 A
Thursday, November 14
4.3: Area and Riemann Sums
Textbook: p. 278: 33-47 odd
Worksheet: The Definite Integral As Area
1-34 all
Monday, November 18
Quiz 18: Sections 4.3
Textbook: p. 293: 13, 17, 21, 25,
31, 36, 37-55 odd
Worksheet: The Fundamental Theorem of
Calculus 1-15 all
44 B
4.4: Fundamental Theorem of
Calculus:
45 A
Fundamental Theorem
Mean Value Theorem for Integrals
Tuesday, November 19
4.4: Fundamental Theorem of
Calculus:
Second Fundamental Theorem
Average Value of A Function
Textbook: p. 293: 57, 59, 62, 66,
67-73 odd, 81-91 odd, 99, 101, 106,
111
Worksheet: Definite Integration with uSubstitution 1-12 all
Worksheet: Average Value of a Function
and 2nd Fund. Thm 1-7 all
Thursday, November 21
Quiz 19: Sections 4.4
Review Unit 6
Worksheet: The Accumulation Function
1-7 all
Friday, November 22
Unit 6 Exam: 4.1-4.4
Enrichment Worksheets:
“Practice CML: Meet 1”
2009,2010,2011,2012
Tuesday, November 26
4.5: Integration by Substitution
Textbook: p. 306: 11, 15, 19, 23,
27-41 odd
Worksheet: u-Substitution
1-22 all
Wednesday, November 27
4.5: Integration by Substitution
(continued)
Textbook: p. 306: 47-71 odd, 75,
79, 83, 89, 103-108 all, 123
Worksheet: Straight Line Motion Revisited
1-5 all
46 B
47 A
48 B
49 A
50 B
51 A
Tuesday, December 3
Wednesday, December 4
54 B
55 A
Quiz 20: Sections 4.5
4.6: Numerical Integration
52 B
53 A
THANKSGIVING BREAK
CML: Meet 1
Friday, December 6
4.6: Numerical Integration
Monday, December 9
Quiz 21: Sections 4.6
Review Unit 7
Wednesday, December 11
Unit 7 Exam: 4.5-4.6
Textbook: p. 316: 5, 7, 13, 15, 19,
20
Worksheet: Riemann Sums 1-8 all
Textbook: p. 316: 23-33 odd, 39,
46, 53
56 B
57
58
59
Thursday, December 12
Review for Final Exam
Monday, December 16
Review for Final Exam
Wednesday, December 18
Review for Final Exam
Friday, December 20
FINAL EXAM **
* Assignments may change slightly. Several Enrichment Activities will be added
** The exact date of the Final Exam will be determined later in the semester
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