ACE AP Calculus – AB
Periods47: Semester 1
AC Cycle Assignment Guide
Day / ABC / Date / Topic / Activity / Assignment *1 / B / Thursday, August 1 / Course Description
Distribute Books and TI-Nspire Calculators
Basic Graphs Sheet, Why Calculus?
1.2 – Limits: Graphically & Numerically / Finish Basic Graphs (last page) from Summer Packet 1-22
Class Procedures
Textbook: p. 54: 1, 3, 7, 8, 9-27 odd
What Is Calculus?
2 / C / Friday, August 2 / Finish 1.2
1.3 – Limits: Analytically / Textbook: p. 67: 3, 19, 21, 27-79 odd
Worksheet: Finding Limits Analytically 1-27 all
3 / B / Tuesday, August 6 / Quiz 1: Section 1.2
1.4: Continuity: Continuity at a Point,
One Sided Limits / Evaluating Limits Graphically
Textbook: p. 78: 1-5 odd, 11-19 odd, 39-53 odd, 59
Worksheet: Graphical Approach to Limits 1-18 all
4 / C / Wednesday, August 7 / Quiz 2: Section 1.3
1.4: Continuity: Finding Constraints
That Guarantee Continuity / Textbook: p. 80: 63-67 all, 112
Worksheet: Continuity and Differentiability 1-7 all
5 / B / Friday, August 9 / Intermediate Value Theorem
1.5: Limits at Infinity, Vertical Asymptotes
1.2 (Revisited): Delta-Epsilon (δ-ε)
Definition of Limit / 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
6 / C / Monday, August 12 / Quiz 3: Section 1.4
Review Unit 1
7 / B / Wednesday, August 14 / Unit 1 Exam: 1.2-1.5
8 / C / Thursday, August 15 / 2.1: Definition of Derivative: Tangent
Line Problem / Textbook: p. 103: 1, 4, 7, 18-24 all, 37, 39-42 all, 45-52 all
Derivative Function
Sign of the Derivative
9 / B / Monday, August 19 / 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
10 / C / Tuesday, August 20 / Quiz 4: Section 2.1
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
11 / B / Thursday, August 22 / 2.2: Basic Derivative Rules: Rates of Change, Position & Velocity / Textbook: p. 117: 93, 95, 97-100 all, 117, 118
12 / C / Friday, August 23 / Quiz 5: Section 2.2
2.3: Product Rule
Quotient Rule
Higher Order Derivatives / Textbook: p. 126: 1-17 odd, 39-45 odd, 51, 53, 69, 70, 74, 75, 81, 82, 97, 103, 105-108 all, 118, 119
13 / B / Tuesday, August 27 / Finish 2.3 / Worksheet: Techniques of Differentiation 16-40 all
14 / C / Thursday, August 29 / Quiz 6: Section 2.3
2.4: Chain Rule / 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
15 / B / Tuesday, September 3 / Quiz 7: Section 2.4
Finish 2.4
Review Unit 2
16 / C / Wednesday, September 4 / Unit 2 Exam: 2.1-2.4 / Worksheet: Straight Line Motion
1-13 all
17 / B / Friday, September 6 / 2.5: Implicit Differentiation / Textbook: p. 142: 1, 5, 11, 13, 15, 21, 26- 28 all, 32, 39, 45, 47, 49, 56-59 all, 61
Worksheet: Implicit Differentiation -
1-15 all
18 / C / Monday, September 9 / 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]
19 / B / Wednesday, September 11 / Quiz 8: Sections 2.5-2.6
2.6: Related Rates: More Volumes,
Right Triangles / Textbook: p. 154: 20-26 all
20 / C / Thursday, September 12 / 2.6: Related Rates: Right Triangles,
Shadow Problems / Textbook: p. 154: 27-34 all
21 / B / Monday, September 16 / Quiz 9: Sections 2.6
2.6: Related Rates: Angular Rates of Change / Textbook: p. 154: 42-45 all
22 / C / Tuesday, September 17 / Review Unit 3
23 / B / Thursday, September 19 / Unit 3 Exam: 2.5-2.6
24 / C / Friday, September 20 / 3.1: Extrema on an Interval / 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
25 / B / Tuesday, September 24 / 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
26 / C / Wednesday, September 25 / 3.2: Rolle’s Theorem
Mean Value Theorem
Quiz 11: Sections 3.2 / Enrichment Worksheet: “Mean Value Theorem”
27 / B / Friday, September 27 / 3.3: Increasing and Decreasing
First Derivative Test / Textbook: p. 186: 1, 5, 7, 11, 15, 23, 27, 29, 37, 39, 41, 78, 87
28 / C / Monday, September 30 / 3.3: Increasing and Decreasing
First Derivative Test
Quiz 12: Sections 3.3
29 / B / Wednesday, October 2 / 3.4: Concavity
Second Derivative Test / Textbook: p. 195: 7, 11, 15, 25, 27, 35, 45, 49, 51, 65, 67
30 / C / Thursday, October 3 / 3.4 Concavity (continued)
Review Unit 4
Quiz 13: Sections 3.4 / Enrichment Worksheet: “Inc/Dec/Concavity”
31 / B / Monday, October 7 / Unit 4 Exam: 3.1-3.4
32 / C / Tuesday, October 8 / 3.5: Limits at Infinity / Textbook: p. 199: 15, 17, 19-37 odd, 61, 65, 89, 91
Worksheet: Finding Limits Analytically 28-39 all
33 / B / Thursday, October 10 / 1-Hour Delay
Quiz 14: Sections 3.5
3.6: Curve Sketching / Textbook: p. 215: 9, 19, 27, 31, 37, 40
Worksheet: Function Analysis
1-5 all
34 / C / Friday, October 11 / 3.7: Optimization / Textbook: p. 223: 9, 11, 13, 17, 18, 21, 22
FALL BREAK
35 / B / Tuesday, October 29 / 3.7: Optimization / Textbook: p. 224: 23, 25, 26, 27, 29, 31
36 / C / Wednesday, October 30 / Quiz 15: Sections 3.6
3.7: Optimization / Textbook: p. 225: 32, 33, 39, 40, 42, 54, 59, 60
Worksheet: Optimization Problems
1-14 all
37 / B / Friday, November 1 / Review Unit 5 / Worksheet: Economic Function Analysis
1-10 all
38 / C / Monday, November 4 / Unit 5 Exam: 3.5-3.7
39 / B / Wednesday, November 6 / 4.1: Indefinite Integrals / Textbook: p. 255: 15-43 odd
Worksheet: Indefinite Integration
1-28 all
40 / C / Thursday, November 7 / 4.1: Indefinite Integrals / Textbook: p. 256: 45-65 odd, 71, 73-76 all
41 / B / Monday, November 11 / Quiz 16: Sections 4.1
4.2: Area and Riemann Sums / Textbook: p. 267: 3, 9-13 odd, 21, 27-35 odd, 41, 43
Worksheet: Sigma Notation
1-18 all
42 / C / Tuesday, November 12 / 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
43 / B / Thursday, November 14 / Quiz 17: Sections 4.2
4.3: Area and Riemann Sums / Textbook: p. 278: 13-22 all, 27-31 odd
44 / C / Friday, November 15 / 4.3: Area and Riemann Sums / Textbook: p. 278: 33-47 odd
Worksheet: The Definite Integral As Area
1-34 all
45 / B / Tuesday, November 19 / Quiz 18: Sections 4.3
4.4: Fundamental Theorem of
Calculus:
Fundamental Theorem
Mean Value Theorem for Integrals / Textbook: p. 293: 13, 17, 21, 25, 31, 36, 37-55 odd
Worksheet: The Fundamental Theorem of Calculus 1-15 all
46 / C / Wednesday, November 20 / 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 u-Substitution 1-12 all
Worksheet: Average Value of a Function and 2nd Fund. Thm 1-7 all
47 / B / Friday, November 22 / Quiz 19: Sections 4.4
Review Unit 6 / Worksheet: The Accumulation Function 1-7 all
48 / C / Monday, November 25 / Unit 6 Exam: 4.1-4.4 / Enrichment Worksheets:
“Practice CML: Meet 1”2009,2010,2011,2012
49 / B / Wednesday, November 27 / 4.5: Integration by Substitution / Textbook: p. 306: 11, 15, 19, 23, 27-41 odd
Worksheet: u-Substitution
1-22 all
THANKSGIVING BREAK
50 / C / Monday, December 2 / 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
51 / B / Wednesday, December 4 / CML: Meet 1
52 / C / Thursday, December 5 / 1-Hour Delay
Quiz 20: Sections 4.5
4.6: Numerical Integration / Textbook: p. 316: 5, 7, 13, 15, 19, 20
Worksheet: Riemann Sums 1-8 all
53 / B / Monday, December 9 / 4.6: Numerical Integration / Textbook: p. 316: 23-33 odd, 39, 46, 53
54 / C / Tuesday, December 10 / Quiz 21: Sections 4.6
Review Unit 7
55 / B / Thursday, December 12 / Unit 7 Exam: 4.5-4.6
56 / C / Friday, December 13 / Review for Final Exam
57 / Monday, December 16 / Review for Final Exam
58 / Wednesday, December 18 / Review for Final Exam
59 / 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