Period 2 & 6: Semester 1
ACE AP Calculus – AB
Period 2 & 6: Semester 1
AB Cycle Assignment Guide
Day / ABC / Date / Topic / Activity / Assignment *1 / A / Weds, July 30 / Course Description Handout
Distribute Books/TI-Nspire Calculators
Introduction to Navigator / Finish Topic U from Summer Packet
Class Procedures (Homework)
What Is Calculus?(Informative)
2 / B / Thurs, July 31 / 1.2A (Day 1) – Finding Limits: Graphically
- One-Sided Limits
- Limits at Infinity
Worksheet HW 1.2A: “Graphical Approach to Limits” 1-18 all
Textbook HW 1.2A: p. 54: 2, 4, 8,
10-28 even
3 / A / Mon, August 4 / Q/A over 1.2A HW
1.2B (Day 2) – Delta-Epsilon Definition of a Limit / Epsilon-Delta Challenge(Informative)
Worksheet HW 1.2B: “The Epsilon-Delta Definitionof Limits” 1-10 all
Textbook HW 1.2B: p. 57: 36-54
even
4 / B / Tues, August 5 / Q/A over 1.2B HW
Quiz 1: Section 1.2 – Day 1
1.3 (Day 1) – Finding Limits: Algebraically / Worksheet HW 1.3: “Finding Limits Algebraically” 1-43 all
Textbook HW 1.3: p. 67: 4, 20, 22,
28-64 multiples of 4
5 / A / Thurs, August 7 / Q/A over 1.3 (Day 1) HW
1.3 (Day 2) – Finding Limits: Algebraically
6 / B / Fri, August 8 / Q/A over 1.3 (Day 2) HW
Quiz 2: Section 1.3 – Days 1 & 2
1.4– Continuity
- Finding Constraints
- The Intermediate Value Theorem
Textbook HW 1.4: pp. 79-80: 36-60
multiples of 4, 66, 68, 112
7 / A / Tues, August 12 / Q/A over 1.4 HW
Quiz 3: Section 1.4 / Review Packet: Unit 1
8 / B / Weds, August 13 / Review Sections 1.2-1.4
9 / A / Fri, August 15 / Unit 1 Exam: 1.2-1.4
10 / B / Mon, August 18 / 2.1A (Day 1) – Definition of Derivative
- Tangent Line Problem
- Derivative at a Point
- Alternate Form of the Definition
Textbook HW 2.1A: p. 104:
8-36 multiples of 4, 39-42 all
Graph of the Derivative(Informative)
11 / A / Weds, August 20 / Q/A over 2.1A HW
2.1B (Day 2) – Differentiability / Continuity and Differentiability(Informative)
Worksheet 2.1B: “Differentiability”
1-4 all
12 / B / Thurs, August 21 / Q/A over 2.1B HW
2.2 – Basic Derivative Rules
- Power Rule
- Rates of Change
Worksheet HW 2.2: “Basic Differentiation Rules & Rates of Change”
1-20 all
Textbook HW 2.2: pp. 115-118:
4-68 multiples of 4 (omit: 20,24,64), 117
13 / A / Mon, August 25 / Quiz 4: Section 2.1
Q/A over 2.2 HW
2.3–Differentiation Techniques – I
- Product Rule
- Quotient Rule
- Higher Order Derivatives
Textbook HW 2.3: pp. 126-127:
4-36 multiples of 4 (omit 12), 55, 56, 64, 70, 74, 82, 96, 1-2, 106, 108
14 / B / Tues, August 26 / Quiz 5: Section 2.2
Q/A over 2.3 HW
15 / A / Thurs, August 28 / Quiz 6: Section 2.3
2.4A (Day 1) – Chain Rule / Worksheet HW 2.4A: “The Chain Rule” 1-37 all
Textbook HW 2.4A: pp. 137-139: 8-36 (multiples of 4), 68, 72, 76, 85, 94, 98, 110
16 / B / Fri, August 29 / Q/A over 2.4A HW
2.4B (Day 2) –Differentiation of Trigonometric
Functions / Worksheet HW 2.4B: “Differentiation of Trigonometric Functions” 1-18 all
Textbook HW 2.4B: pp. 137-139: 8-36 (multiples of 4), 68, 72, 76, 85, 94, 98, 110
Review Packet: Unit 2
17 / A / Weds, September 3 / Q/A over 2.4B HW
Quiz 7: Section 2.4 (Days 1 & 2)
Review Unit 2
18 / B / Thurs, September 4 / Unit 2 Exam: 2.1-2.4
19 / A / Mon, September 8 / 2.5A (Day 1) –Straight Line Motion / Worksheet HW 2.5A: “Straight Line Motion” 1-16 all
20 / B / Tues, September 9 / Q/A over 2.5A HW
2.5B (Day 2) – Implicit Differentiation / Worksheet HW 2.5B: “Implicit Differentiation” 1-15 all
Textbook HW 2.5B: pp. 146-147: 4-40 (multiples of 4), 48, 52, 54
21 / A / Fri, September 12 / Quiz 8: Section 2.5A (Day 1 only)
Q/A over 2.5B HW
2.6 (Day 1) – Related Rates: Introduction,
Areas, Volumes / Worksheet HW 2.6: “Related Rates”
1-25 all
Textbook HW 2.6: pp. 154-157:
4-32 (multiples of 4), 34, 42, 44, 46, 23
22 / B / Mon, September 15 / Quiz 9: Section 2.5B (Day 2 only)
Q/A over 2.6 HW (Worksheet 1-5)
2.6 (Day 2) – Related Rates: Right Triangles
Volumes of Cones
23 / A / Weds, September 17 / Q/A over 2.6 HW (Worksheet 6-19)
2.6 (Day 3) – Related Rates: Trigonometric
Problems, Shadow Problems / Review Packet: Unit 3
24 / B / Thurs, September 18 / Q/A over 2.6 HW (Worksheet 20-25)
Quiz 10: Section 2.6
25 / A / Mon, September 22 / Review Unit 3
26 / B / Tues, September 23 / Unit 3 Exam: 2.5-2.6
27 / A / Thurs, September 25 / 3.1– Extrema on an Interval / Worksheet HW 3.1: “Extrema on a Closed Interval” 1-10 all
Textbook HW 3.1: pp. 169-170:
12-36
(multiples of 4)
28 / B / Fri, September 26 / Q/A over 3.1 HW
3.2– Rolle’s Theorem
Mean Value Theorem / Worksheet HW 3.2: “Rolle’s and The Mean Value Theorem” 1-18 all
Textbook HW 3.2: pp. 176-177:
12-28 (multiples of 4),
40-52 (multiples of 4),
60, 62
29 / A / Tues, September 30 / Quiz 11: Section 3.1
Q/A over 3.2 HW
3.3– Increasing and Decreasing
First Derivative Test / Enrichment Worksheet: “Mean Value Theorem”
Worksheet HW 3.3: “Increasing and Decreasing Functions & The First Derivative Test” 1-13 all
Textbook HW 3.3: p. 186:
20-48 (multiples of 4)
30 / B / Weds, October 1 / Quiz 12: Section 3.2
Q/A over 3.3 HW
Further Discussion of Section 3.3
31 / A / Fri, October 3 / 1 Hour Delay
Quiz 13: Section 3.3
3.4 (Day 1) – Concavity / Worksheet HW 3.4: “Concavity & The Second Derivative Test” 1-13 all
Textbook HW 3.4: p. 195:
8-52 (multiples of 4)
32 / B / Mon, October 6 / Q/A over 3.4 HW
3.4 (Day 2) – Second Derivative Test / Review Packet: Unit 4
33 / A / Weds, October 8 / Quiz 14: Sections 3.4
Review Unit 4 / Enrichment Worksheet: “Inc/Dec/Concavity”
34 / B / Thurs, October 9 / Unit 4 Exam: 3.1-3.4
F A L L B R E A K
35 / A / Mon, October 27 / 3.5 –Limits at Infinity II
Asymptotes / Worksheet HW 3.5: “Asymptotes”
1-13 all
(There is no Textbook HW for 3.5)
36 / B / Tues, October 28 / Q/A over 3.5 HW
3.6 –Curve Sketching & Function Analysis / Worksheet HW 3.6: “Curve Sketching & Function Analysis” 1-7 all
(There is no Textbook HW for 3.6)
37 / A / Thurs, October 30 / Quiz 15: Sections 3.5
Further Discussion of Section 3.6
Note: There is no quiz covering Section 3.6
38 / B / Fri, October 31 / 3.7 (Day 1) – Optimization / Worksheet HW 3.7: “Optimization”
1-17 all
Textbook HW 3.7: pp. 223-225:
2bc, 8, 18, 22, 26, 40,
42, 60
39 / A / Weds, November 5A L B R E A K / 3.7 (Day 2) – Optimization
- Economic Problems / Review Packet: Unit 5
40 / B / Thurs, November 6 / Q/A over 3.7 HW
Quiz 16: Section 3.7
Review Unit 5
41 / A / Mon, November 10 / Unit 5 Exam: 3.5-3.7
42 / B / Tues, November 11 / 4.2 (Day 1) – Area
- Sigma Notation
- Finding Area Under a Curve Using
Rectangles (Upper and Lower Sums)
- Left Endpoint, Right Endpoint / Worksheet HW 4.2 A: “Area – Sigma
Notation” 1-23 all
Textbook HW 4.2 A: pp. 267-268:
4-36 (multiples of 4)
43 / A / Thurs, November 13 / Q/A over 4.2(Day 1) HW
4.2 (Day 2) – Area
- Finding The Exact Area Under a Curve
Using The Limit Process / Worksheet HW 4.2 B: “Area – The
Limit Process” 1-11 all
Textbook HW 4.2 A: pp. 268-269:
48, 52, 54, 60, 64
44 / B / Fri, November 14 / Q/A over 4.2(Day 2) HW
4.3/4.6 (Day 1) –Riemann Sums
- Midpoint and Trapezoidal Sums
- Review of Left Endpoint and Right
Endpoint / Worksheet HW 4.3/4.6 A: “Riemann
Sums” 1-8 all
Textbook HW 4.2 A: p. 268:
74, 76
p. 316:
4-20 (multiples of 4)
45 / A / Tues, November 18 / Q/A over 4.3/4.6(Day 1) HW
4.3 (Day 2) – The Definite Integral as Area / Worksheet HW 4.3 B: “The Definite
Integral as Area” 1-34 all
Textbook HW 4.2 A: pp. 278-279:
12-52 (multiples of 4)
46 / B / Weds, November 19 / Quiz 17: Section 4.2
Q/A over 4.3 (Day 2) HW
4.1 (Day 1) –Antidifferentiation / Worksheet HW 4.1: “Indefinite
Integration” 1-30 all
Textbook HW 4.1: pp. 255-256:
4-40, (multiples of 4), 60, 64
47 / A / Fri, November 21 / Quiz 18: Section 4.3/4.6
4.1 (Day 2) –Antidifferentiation / Review Packet: Unit 6
48 / B / Mon, November 24 / Quiz 19: Section 4.1
Review Unit 6
49 / A / Weds, November 26 / Unit 6 Exam: 4.1-4.3 & 4.6
T H A N K S G I V I N G B R E A K
50 / B / Mon, December 1 / 4.4 (Day 1) – Fundamental Theorem of
Calculus
-1st Fundamental Theorem
-Mean Value Theorem for Integrals / Worksheet HW 4.4 A: The Fundamental Theorem of Calculus 1-19 all
Textbook HW 4.4 A: p. 293: 8-48
(multiples of 4)
CML – Meet 1 Practice Tests
2013, 2012, 2011, 2010(Due: Day 57)
51 / A / Weds, December 3 / Q/A over 4.4 (Day 1) HW
4.4 (Day 2) – Fundamental Theorem of
Calculus
-Average Value of a Function
-2ndFundamental Theorem
-Area as an Accumulater / Worksheet HW 4.4 B: “Average Value of a Function, 2nd Fund. Theorem of Calculus and The Accumulation Function” 1-9 all
Textbook HW 4.4 B: pp. 293-295: 52-58 even, 59, 60, 62, 66, 76-92 even
52 / B / Thurs, December 4 / Q/A over 4.4 (Day 2) HW
4.5 (Day 1) – Integration By U-Substitution
- Basic U-Substitution / Worksheet HW 4.5 A: “Integration by U-Substitution” 1-22 all
Textbook HW 4.5: pp. 306-307: 4-40 (multiples of 4),
48-64 (multiples of 4),
68-74 even,
76-84 (multiples of 4)
*Problems 68 and up reflect 4.5 B
material
53 / A / Mon, December 8 / Quiz 20: Section 4.4
Q/A over 4.5 (Day 1) HW
4.5 (Day 2) – Integration By U-Substitution
- Definite Integration with
U-Substitution
- Change of Variable Method / Worksheet HW 4.5 B: “Definite Integration with U-Substitution & Change of Variable Method” 1-23 all
54 / B / Tues, December 9 / Q/A over 4.5 (Day 2) HW / Review Packet: Unit 7
55 / A / Thurs, December 11 / Quiz 21: Section 4.5
Review Unit 7
56 / B / Fri, December 12 / Unit 7 Exam: 4.4 - 4.5
57 / A / Tues, December 16 / CML: Meet 1
58 / B / Weds, December 17 / Review for Final Exam
59 / - / ????? / Review for Final Exam
????? / Final Exam **
* Assignments may change slightly. A few Enrichment Activities may be added as needed.
** The exact date of the Final Exam will be determined later in the semester