Semester 1 Fall 2015

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Period 4
B Day: Block 3: ???-???
C Day: Block 3: ???-???
Day
AB
C
1 B
2 C
Date
Thurs, July 30
Fri, July 31
ACE AP Calculus – AB
Period 4 & 7: Semester 1
AB Cycle Assignment Guide
Period 7
B Day: Block 5: ???-???
C Day: Block 5: ???-???
Topic / Activity
Course Description Handout
Distribute Books/TI-Nspire Calculators
Introduction to Navigator
1.2A (Day 1) – Finding Limits: Graphically
 One-Sided Limits
 Limits at Infinity
Assignment *
Finish Topic U from Summer Packet
Class Procedures (Homework)
What Is Calculus? (Informative)
Limits Enrichment (Enrichment)
Worksheet HW 1.2A: “Graphical
Approach to Limits” 1-18 all
Textbook HW 1.2A: p. 54: 2, 4, 8,
10-28 even
Tues, August 4
3 B
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 EpsilonDelta Definition of Limits” 1-10 all
Textbook HW 1.2B: p. 57: 36-54
Even (Use TI-Nspire for #’s 38, 42, 50 & 54)
Let ε=0.01 for #’s 50 & 54
4 C
Weds, August 5
(1 Hour Delay Day)
Worksheet HW 1.3: “Finding Limits
Q/A over 1.2B HW
Algebraically”
Quiz 1: Section 1.2 – Day 1
1.3 (Day 1) – Finding Limits: Algebraically
1-43 all
Textbook HW 1.3: p. 67: 4, 20, 22,
28-64 multiples of 4
Q/A over 1.3 (Day 1) HW
5 B
Fri, August 7
1.3 (Day 2) – Finding Limits: Algebraically
Q/A over 1.3 (Day 2) HW
Quiz 2: Section 1.3 – Days 1 & 2
6 C
Mon, August 10
1.4 – Continuity
 Finding Constraints
That Guarantee Continuity
 The Intermediate Value Theorem
Q/A over 1.4 HW
7 B
Weds, August 12
Quiz 3: Section 1.4
Thurs, August 13
Review Sections 1.2-1.4
8 C
9 B
10 C
Worksheet HW 1.4: “Continuity & The
Intermediate Value Theorem” 1-9 all
Textbook HW 1.4: pp. 79-80: 36-60
multiples of 4, 66, 68, 112
Review Packet: Unit 1
Evening Review Session:
Thursday, 8/13: ALC 115
5:30 pm - 6:30 pm
Unit 1 Exam: 1.2-1.4
Mon, August 17
Tues, August 18
2.1A (Day 1) – Definition of Derivative
 Tangent Line Problem
 Derivative at a Point
 Alternate Form of the Definition
Worksheet HW 2.1A: “Definition of
Derivative” 1-12 all
Textbook HW 2.1A: p. 104:
8-36 multiples of 4, 39-42 all
Graph of the Derivative (Informative)
Q/A over 2.1A HW
11 B
Thurs, August 20
2.1B (Day 2) – Differentiability
Continuity and Differentiability
(Informative)
Worksheet 2.1B: “Differentiability”
1-4 all
12 C
Fri, August 21
Q/A over 2.1B HW
2.2 – Basic Derivative Rules
 Power Rule
 Rates of Change
Tues, August 25
14 C
Weds, August 26
15 B
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
Quiz 4: Section 2.1
13 B
Derivatives in Motion (Enrichment)
Worksheet HW 2.2: “Basic
Q/A over 2.2 HW 
2.3 – Differentiation Techniques – I
 Product Rule
 Quotient Rule
 Higher Order Derivatives
Worksheet HW 2.3: “Product Rule &
Quotient Rule & Higher Order Derivatives”
1-29 all
Textbook HW 2.3: pp. 126-127:
4-36 multiples of 4 (omit 12), 55, 56,
64, 70, 74, 82, 96, 102, 106, 108
Quiz 5: Section 2.2
Q/A over 2.3 HW 
Quiz 6: Section 2.3
Worksheet HW 2.4A: “The Chain
2.4A (Day 1) – Chain Rule
Rule” 1-33 all
Fri, August 28
Mon, August 31
Textbook HW 2.4A: pp. 137-139:
8-36 (multiples of 4), 68, 72, 76, 85,
94, 98, 110
Q/A over 2.4A HW 
2.4B (Day 2) – Differentiation of Trigonometric
Functions
16 C
Worksheet HW 2.4B: “Differentiation of
Trigonometric Functions & Nested
Product/Quotient/Chain Rules” 1-23 all
Textbook HW 2.4B: pp. 126-128:
40-54 even, 60, 68, 100;
pp. 137-138: 46-66 even
Review Packet: Unit 2
Weds, September 2
17 B
(1 Hour Delay Day)
Q/A over 2.4B HW 
Quiz 7: Section 2.4 (Days 1 & 2)
Review Unit 2
18 C
Thu, September 3
19 B
Tues, September 8
Unit 2 Exam: 2.1-2.4
2.5A (Day 1) – Straight Line Motion
Worksheet HW 2.5A: “Straight Line
Motion” 1-16 all
There is no Textbook HW for 2.5A
Q/A over 2.5A HW
2.5B (Day 2) – Implicit Differentiation
20 C
Thurs, September 10
Mon, September 14
21 B
22 C
Differentiation” 1-15 all
Textbook HW 2.5B: pp. 146-147:
4-40 (multiples of 4), 48, 52, 54
Quiz 8: Section 2.5A (Day 1 only)
Worksheet HW 2.6: “Related Rates”
Q/A over 2.5B HW
2.6 (Day 1) – Related Rates: Introduction,
Areas, Volumes
1-25 all
Quiz 9: Section 2.5B (Day 2 only)
Tues, September 15
Worksheet HW 2.5B: “Implicit
Q/A over 2.6 HW (Worksheet 1-5)
2.6 (Day 2) – Related Rates: Right Triangles
Volumes of Cones
Textbook HW 2.6: pp. 154-157:
4-32 (multiples of 4), 23, 34, 42, 44,
46,
23 B
24 C
Thurs, September 17
Q/A over 2.6 HW (Worksheet 6-19)
2.6 (Day 3) – Related Rates: Trigonometric
Problems, Shadow Problems
Fri, September 18
Q/A over 2.6 HW (Worksheet 20-25)
Quiz 10: Section 2.6
25 B
26 C
Tues, September 22
Review Unit 3
Weds, September 23
Unit 3 Exam: 2.5-2.6
27 B
Fri, September 25
Worksheet HW 3.1: “Extrema on a
Closed Interval” 1-10 all
Textbook HW 3.1: pp. 169-170:
3.1 – Extrema on an Interval
12-36
(multiples of 4)
Mon, September 28
28 C
29 B
Review Packet: Unit 3
Weds, September 30
Q/A over 3.1 HW
3.2 – Rolle’s Theorem
Mean Value Theorem
Worksheet HW 3.2: “Rolle’s and The
Quiz 11: Section 3.1
Enrichment Worksheet: “Mean
Value Theorem”
Worksheet HW 3.3: “Increasing and
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
Q/A over 3.2 HW
3.3 – Increasing and Decreasing
First Derivative Test
Decreasing Functions & The First Derivative
Test” 1-13 all
Textbook HW 3.3: p. 186:
20-48 (multiples of 4)
Quiz 12: Section 3.2
30 C
31 B
Thurs, October 1
Q/A over 3.3 HW
Further Discussion of Section 3.3
Worksheet HW 3.4: “Concavity & The
1 Hour Delay
Quiz 13: Section 3.3
Mon, October 5
Second Derivative Test” 1-13 all
3.4 (Day 1) – Concavity
Textbook HW 3.4: p. 195:
8-52 (multiples of 4)
Q/A over 3.4 HW
3.4 (Day 2) – Second Derivative Test
Review Packet: Unit 4
32 C
Tues, October 6
33 B
Thurs, October 8
Review Unit 4
34 C
Fri, October 9
Unit 4 Exam: 3.1-3.4
Quiz 14: Sections 3.4
F
A
L
L
Enrichment Worksheet:
“Inc/Dec/Concavity”
B
R
E
A
K
3.5 – Limits at Infinity II
Asymptotes
Worksheet HW 3.5: “Asymptotes”
Tues, October 27
Worksheet HW 3.6: “Curve Sketching &
36 C
Weds, October 28
Q/A over 3.5 HW
3.6 – Curve Sketching & Function Analysis
37 B
Fri, October 30
35 B
1-13 all
(There is no Textbook HW for 3.5)
Function Analysis” 1-7 all
(There is no Textbook HW for 3.6)
Quiz 15: Sections 3.5
Further Discussion of Section 3.6
Note: There is no quiz covering Section 3.6
Worksheet HW 3.7: “Optimization”
3.7 (Day 1) – Optimization
1-17 all
Mon, November 2
Textbook HW 3.7: pp. 223-225:
2bc, 8, 18, 22, 26, 40,
42, 60
38 C
3.7 (Day 2) – Optimization
- Economic Problems
Review Packet: Unit 5
Thurs, November 5
39 B A
R
K
L
E
A
Q/A over 3.7 HW
40 C
Fri, November 6
41 B
Tues, November 10
Review Unit 5
Weds, November 11
42 C
43 B
Quiz 16: Section 3.7
Fri, November 13
Mon, November 16
44 C
Unit 5 Exam: 3.5-3.7
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
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
Notation” 1-23 all
Textbook HW 4.2: pp. 267-268:
4-36 (multiples of 4)
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
Quiz 17: Section 4.2
Limit Process” 1-11 all
Textbook HW 4.2 (cont’d):
pp. 268-269:
48, 52, 54, 60, 64
Worksheet HW 4.3/4.6 A: “Riemann
Sums” 1-8 all
Textbook HW 4.3/4.6: p. 268:
74, 76
p. 316:
4-20 (multiples of 4)
Don’t do Simpson’s Rule
Riemann Sums
Weds, November 18
Q/A over 4.3/4.6 (Day 1) HW
4.3 (Day 2) – The Definite Integral as Area
45 B
Thurs, November 19
47 B
Mon, November 23
Unit 6 Exam: 4.2, 4.3 & 4.6
4.1 (Day 1) – Antidifferentiation
Textbook HW 4.1: pp. 255-256:
4-40, (multiples of 4), 60, 64
4.1 (Day 2) – Antidifferentiation
Mon, November 30
Worksheet HW 4.1: “Indefinite
Integration” 1-30 all
Tues, November 24
T H A N K S G I V I N G
49 B
Integral as Area” 1-34 all
Textbook HW 4.3/4.6 (cont’d):
pp. 278-279:
12-52 (multiples of 4)
Review Packet: Unit 6
Quiz 18: Section 4.3/4.6
46 C
48 C
Worksheet HW 4.3 B: “The Definite
B R E A K
Tues, December 1
4.4 (Day 1) – Fundamental Theorem of
Calculus
-
50 C
Thurs, December 3
Q/A over 4.4 (Day 1) HW
4.4 (Day 2) – Fundamental Theorem of
Calculus
-
51 B
Fri, December 4
1st Fundamental Theorem
Mean Value Theorem for
Integrals
Average Value of a Function
2nd Fundamental Theorem
Area as an Accumulater
Q/A over 4.4 (Day 2) HW
4.5 (Day 1) – Integration By U-Substitution
- Basic U-Substitution
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)
Worksheet HW 4.4 B: “Average Value
of a Function, 2nd Fund. Theorem of Calculus
and The Accumulation Function” 1-10 all
Textbook HW 4.4 B: pp. 293-295:
52-58 even, 59, 60, 62, 66, 76-92
even
Worksheet HW 4.5 A: “Integration by
U-Substitution” 1-22 all
Textbook HW 4.5: pp. 306-307: 440 (multiples of 4),
48-64 (multiples of 4),
68-74 even,
76-84 (multiples of 4)
52 C
* Problems 68 and up reflect 4.5 B
material
Tues, December 8
53 B
54 C
Weds, December 9
55 B
Fri, December 11
56 C
57 B
58
59
Quiz 20: Section 4.4
Worksheet HW 4.5 B: “Definite
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
Integration with U-Substitution & Change of
Variable Method” 1-23 all
Q/A over 4.5 (Day 2) HW
Review Packet: Unit 7
Quiz 21: Section 4.5
Review Unit 7
Unit 7 Exam: 4.4 - 4.5
Mon, December 14
CML: Meet 1
Weds, December 16
????
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
TI-Nspire Activity Key (Homework) Activity will be graded in the Homework Category
(Enrichment) Activity will be graded in the Enrichment Category
(Informative) Activity will not be graded, but is strongly recommended that
you spend time with it.
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