| DATE/DAY | TOPICS and STUDENT OBJECTIVES | ASSIGNMENTS |
| 9/13
Day 4 |
Review how to visually find a limit; Use a table of values or a function’s graph to find the limit; Use factoring to find a limit analytically.
Students will be able to evaluate a limit visually. Students will be able to conjecture what the limit is from a table or graph. Students will rewrite functions to find the limit by factoring and cancelling. |
HW1 p. 91-#3,4,9-16
Pass in: all even #’s |
| 9/14
Day 5 |
1.3 Introduce properties of limits; One sided limits
Students will use properties of limits to evaluate a function’s limit and evaluate one sided limits of functions |
HW2 P. 67 #24-26, 38-40,
p. 92, #65-74 Pass in: #26 ,40, 66, 70, 74 |
| 9/15
Day 6 |
Discuss rationalizing techniques for finding limits
Students will rationalize denominators of rational functions to find the limit |
HW3 p. 67 #49-64
Pass in: #50, 56, 60, 62 |
| 9/16
Day 7 |
1.4 Examine trig limits
Students will find limits of trig functions |
HW4 p. 67, 29-35, 65-70
Pass in: #30, 34, 66, 68,70 |
| 9/19
Day 1 |
Properties of continuity; Removable and nonremovable discontinuities; Intermediate Value Theorem (IVT)
Students will determine if a discontinuity is removable
|
HW4 p. 79, #27-30, 38-43, 46-47, 48-50, 52
Pass in: #30, 40, 46, 50, 52 |
| 9/20
Day 2 |
1.5 Infinite Limits
Students will find a function’s limit as x→∞ |
HW 5 p.88, #39-48
Pass in: #40-48 evens |
| 9/22
Day 4 |
Review homework for test | Study for test |
| 9/23 Day 5 | TEST—CHAPTER 1 LIMITS | |
| 9/26
Day 6 |
Review problems for Summer Assignment test | Look over summer assignment problems |
| 9/27 Day 7 | Summer Assignment Test | |
| 9/28
Day 1 |
2.1 The Tangent Line and the Derivative—Discuss the relationship between the derivative and the line that is tangent to the curve. Define the derivative as a limit and use a difference quotient to find the derivative. | HW#6 p. 104, #’s 14-22 evens |
| 9/29
Day 2 |
Discuss differentiability and continuity of functions. Practice difference quotients.
Find derivatives using graphing calculator |
HW#7 p. 104, #’s 26-29, 31
p. 105 #83-88 |
| 10/3
Day 4 |
Find the equation of the tangent line of a function. | HW#8a p. 104, #33-37 |
| 10/4
Day 5 |
Review homework #6-8 and practice in small groups | |
| 10/5 Day 6 | Review Homework | HW #8b p. 104-5 #’s 39-42, 38(by def.), 61, 62 |
| 10/6
Day 7 |
Quiz Section 2.1
Discuss the basic rules for finding derivatives. Use the basic rules instead of the limiting process for finding the derivative of a function. |
HW#9 WS Basic Derivative Rules
#1-10 |
| 10/7
Day 1 |
Use the basic rules instead of the limiting process for finding the derivative of a function.
Product and Quotient Rules for Derivatives |
Complete Basic Rules Worksheet |
| 10/11
Day 2 |
Use the product/quotient rule for derivatives | HW#10 p. 115, #’s 4-18even |
| 10/13
Day 4 |
Continue practicing rules for derivatives | HW#11 p. 116, 56,58 and pg 117-18, # 94, 95, 98, 107, 108 |
| 10/14
Day 5 |
Review for quiz on Basic Derivative Rules (power, product and quotient) | HW#12, p. 115 #45-48 amd p. 158-9, #33-37 |
| 10/17
Day 6 |
Quiz Section 2.2/2.3 Basic Derivatives | |
| 10/18
Day 7 |
Notes:Projectile Motion-Velocity and Acceleration; Average velocity vs. Instantaneous velocity using the derivative as a rate of change | HW#13 Copy of p. 137 #14,16,20,23,24,25 |
| 10/19
Day 1 |
Review homework: Falling object model, velocity and acceleration | HW#14 Copy of 137
# |
| 10/20
Day 2 |
Group work: Falling object and rectilinear motion | HW#15 p. 158-9, #33-37, 39 |
| 10/24
Day 4 |
Review for quiz on Particle Motion and Velocity/Acceleration | |
| 10/25
Day 5 |
Assembly | |
| 10/26
Day 6 |
The Chain Rule-Use the chain rule to find the derivative when basic rules can’t be used | HW#16 p. 137 #3-27 every 3rd problem |
| 10/27
Day 7 |
Quiz on Particle Motion and Velocity/Acceleration Trig function derivatives |
HW#17, p. 126 #41-53 |
| 10/31
Day 1 |
Continue using the Chain Rule | HW#18, p. 137, #45-66 every 3rd problem |
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