Semester 1 Fall

advertisement
Period 3
A Day: Block 3: ???-???
C Day: Block 4: ???-???
Day
AB
C
Date
1 A
Weds, July 29
2 C
Fri, July 31
ACE AP Calculus – AB
Period 3 & 5: Semester 1
AC Cycle Assignment Guide
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
Period 5
A Day: Block 2: ???-???
C Day: Block 4: ???-???
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
Mon, August 3
3 A
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 A
Thu, August 6
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
7 A
8 C
Mon, August 10
1.4 – Continuity
 Finding Constraints
That Guarantee Continuity
 The Intermediate Value
Theorem
Q/A over 1.4 HW
Tues, August 11
Quiz 3: Section 1.4
Thurs, August 13
Review Sections 1.2-1.4
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
9 A
10 C
11 A
Fri, August 14
Tues, August 18
2.1A (Day 1) – Definition of Derivative
 Tangent Line Problem
 Derivative at a Point
 Alternate Form of the Definition
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
Weds, August 19
Worksheet HW 2.1A: “Definition of
Continuity and Differentiability
(Informative)
2.1B (Day 2) – Differentiability
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
Mon, August 24
14 C
Weds, August 26
15 A
Q/A over 2.2 HW 
2.3 – Differentiation Techniques – I
 Product Rule
 Quotient Rule
 Higher Order Derivatives
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 6: Section 2.3
Worksheet HW 2.4A: “The Chain
2.4A (Day 1) – Chain Rule
Rule” 1-33 all
Tues, September 1
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
Q/A over 2.4B HW 
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
Quiz 7: Section 2.4 (Days 1 & 2)
Review Unit 2
Thu, September 3
Unit 2 Exam: 2.1-2.4
2.5A (Day 1) – Straight Line Motion
19 A
Worksheet HW 2.3: “Product Rule &
Q/A over 2.3 HW 
Thurs, August 27
16 C
18 C
1-20 all
Quiz 5: Section 2.2
Mon, August 31
17 A
Differentiation Rules & Rates of Change”
Textbook HW 2.2: pp. 115-118:
4-68 multiples of 4 (omit: 20, 24, 64),
117
Quiz 4: Section 2.1
13 A
Derivatives in Motion (Enrichment)
Worksheet HW 2.2: “Basic
Worksheet HW 2.5A: “Straight Line
Motion” 1-16 all
Fri, September 4
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
Fri, September 11
21 A
Tues, September 15
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)
22 C
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 A
24 C
Weds, September 16
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 A
26 C
Mon, September 21
Review Unit 3
Weds, September 23
Unit 3 Exam: 2.5-2.6
27 A
Thurs, September 24
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 A
Review Packet: Unit 3
Tues, September 29
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
Thurs, October 1
Q/A over 3.3 HW
Further Discussion of Section 3.3
Quiz 13: Section 3.3
Worksheet HW 3.4: “Concavity & The
Fri, October 2
3.4 (Day 1) – Concavity
Second Derivative Test” 1-13 all
32 C
Tues, October 6
Q/A over 3.4 HW
3.4 (Day 2) – Second Derivative Test
33 A
Weds, October 7
1 Hour Delay Day
Quiz 14: Sections 3.4
34 C
Fri, October 9
31 A
Textbook HW 3.4: p. 195:
8-52 (multiples of 4)
Review Packet: Unit 4
Enrichment Worksheet:
“Inc/Dec/Concavity”
Review Unit 4
F
Unit 4 Exam: 3.1-3.4
A
L
L
B
R
E
A
K
35 A
3.5 – Limits at Infinity II
Asymptotes
Worksheet HW 3.5: “Asymptotes”
Mon, October 26
36 C
Q/A over 3.5 HW
3.6 – Curve Sketching & Function Analysis
Worksheet HW 3.6: “Curve Sketching &
Weds, October 28
37 A
Thurs, October 29
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
1 Hour Delay Day
3.7 (Day 2) – Optimization
- Economic Problems
39 A
Review Packet: Unit 5
A
R
K
Weds, November 4
L
E
A
Q/A over 3.7 HW
40 C
Fri, November 6
41 A
Mon, November 9
Review Unit 5
Weds, November 11
42 C
43 A
Quiz 16: Section 3.7
Thurs, November 12
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
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
Notation” 1-23 all
Textbook HW 4.2: pp. 267-268:
4-36 (multiples of 4)
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
Quiz 17: Section 4.2
Riemann Sums
Tues, November 17
Q/A over 4.3/4.6 (Day 1) HW
4.3 (Day 2) – The Definite Integral as Area
45 A
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
Thurs, November 19
47 A
Fri, November 20
Unit 6 Exam: 4.2, 4.3 & 4.6
4.1 (Day 1) – Antidifferentiation
48 C
Worksheet HW 4.3 B: “The Definite
Worksheet HW 4.1: “Indefinite
Integration” 1-30 all
Tues, November 24
Textbook HW 4.1: pp. 255-256:
4-40, (multiples of 4), 60, 64
4.1 (Day 2) – Antidifferentiation
49 A Weds, November 25
T H A N K S G I V I N G
B R E A K
Tues, December 1
4.4 (Day 1) – Fundamental Theorem of
Calculus
-
50 C
Weds, December 2
51 A
1 Hour Delay Day
Q/A over 4.4 (Day 1) HW
4.4 (Day 2) – Fundamental Theorem of
Calculus
-
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
Mon, December 7
53 A
54 C
Weds, December 9
55 A
Thurs, December 10
56 C
57 A
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
Tues, December 15
????
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.
Download