Check out this link for extra help and practice!
http://online.math.uh.edu/Math1431/
Tuesday, October 6, 2009
Saturday, October 3, 2009
Sec 2.2 Basic Differentiation Rules and Rates of Change
Essential Questions:*How do you utilize the various differentiation rules to determine the derivative of a function?
Constant rule, Power rule, Constant multiple rule, Sum and difference rule, Trigonometric derivatives (Sine and Cosine)
*How do instantaneous and average rates of change compare?
*What do we mean by instantaneous rate of change?
*Can you use rates of change to determine the velocity, speed, acceleration, and jerk of an object?
Objectives:
(1) Use the Constant Rule, Power Rule,Constant Multiple Rule, and Sum and Difference Rules as short cuts to differentiate functions.
(2) Find higher order derivatives and apply them to problem such as speed, velocity, and acceleration.
(2) Find higher order derivatives and apply them to problem such as speed, velocity, and acceleration.
October 5 - 9, 2009
Monday, 10/5--Section 2.2 (pgs. 107 - 112)
*Rules for Differentiation: the Constant Rule, the Power Rule, the Constant Multiple Rule, the Sum and Difference Rules, Derivatives of Sine and Cosine Functions
*Homework Assignment: page 115 - 118 #3-21 odd, 39 - 53 odd
Tuesday, 10/6--Section 2.2 part 1 (cont'd)
*Homework Review/Q & A
*Practice with rules for differentiation
*Classwork: Worksheet 2.2
*Overview of 2.2, part 2 using the "How Do We Measure Speed?" handout from 10/2;
Wednesday, 10/7--Section 2.2 (pages 113 - 114)
*Rates of Change: the position function, average velocity and instantaneous velocity
*Discuss "Try These" problems from "Speed" packet
*Homework Assignment: Average Velocity and Instantaneous Velocity worksheet
Thursday, 10/8--Section 2.2 Review
*HW Review/Q&A
*Review for Test on 2.1 and 2.2 (Test will be administered Monday)
*Homework Assignment: page 116 - 118 #57-65 odd, 67, 68, 89, 91-96 all
Friday, 10/9--NO SCHOOL
*Rules for Differentiation: the Constant Rule, the Power Rule, the Constant Multiple Rule, the Sum and Difference Rules, Derivatives of Sine and Cosine Functions
*Homework Assignment: page 115 - 118 #3-21 odd, 39 - 53 odd
Tuesday, 10/6--Section 2.2 part 1 (cont'd)
*Homework Review/Q & A
*Practice with rules for differentiation
*Classwork: Worksheet 2.2
*Overview of 2.2, part 2 using the "How Do We Measure Speed?" handout from 10/2;
Wednesday, 10/7--Section 2.2 (pages 113 - 114)
*Rates of Change: the position function, average velocity and instantaneous velocity
*Discuss "Try These" problems from "Speed" packet
*Homework Assignment: Average Velocity and Instantaneous Velocity worksheet
Thursday, 10/8--Section 2.2 Review
*HW Review/Q&A
*Review for Test on 2.1 and 2.2 (Test will be administered Monday)
*Homework Assignment: page 116 - 118 #57-65 odd, 67, 68, 89, 91-96 all
Friday, 10/9--NO SCHOOL
Friday, October 2, 2009
Thursday, October 1, 2009
Tuesday, September 29, 2009
September 28 - October 2
Monday, 9/28--Section 2.1--The Definition of the Derivative and the Tangent Line *Submit Chapter 1 Spiral worksheet*Essential Question: What is the relationship between the slope of a secant line to a curve and the slope of a tangent to a curve?
*Find the derivative using the limit process
*Find the slope of the line tangent to a curve
*Homework Assignment: page 104 #5-21 odd
Tuesday, 9/29--Section 2.1 (Cont'd)
*Essential Question: What is the derivative of a function at a point and how is it related to the tangent line? How can we determine if a function is differentiable over an interval?
*Calculus Phobe video on the derivative: http://www.calculus-help.com/funstuff/tutorials/derivatives/deriv01.html
*Homework Review/Q&A
*Using GC to find the derivative at a point
*The alternative form of the derivative
*Homework Assignment: page 104 #12-24 even, 71, 77,79; Read pages 101-103
Wednesday, 9/30--GHSGT Writing--NO PERIOD 2
We will still have the Calculus Study Group afterschool from 3:50 - 5:00 pm! Show up if you need help.
Thursday, 10/1--Sec 2.1, part 3...Differentiablity and Continuity
*HW Review
*Investigate the relationship between differentiability and continuity
*Sketch the graph of f'(x) given f(x)
*Homework Assignment: page 104 #37-40, 81-87 odd
*Study for a quiz on section 2.1 (this will be a homework quiz; the quiz questions will come from the homework assignments for this section)
Friday, 10/2--Sec 2.1 summary
*Recap differentiability and continuity
*Video on sketching the derivative
*Sec 2.1 Homework Quiz
*Homework Assignment: "How Do We Measure Speed" handout; read pages 70-74; complete the "Try These" problems #1-6
Sunday, September 27, 2009
TI Graphing Calculator
Here is a site that lets you download a TI Emulator to your computer like the one I use in class. This will be helpful for those of you who still do not have a graphing calculator at home!!http://dkarasmath.googlepages.com/tiprograms
Please be advised that I am not associated with the information contained on the page for the link. I found it through a search. I am not responsible and will not be liable for any information found on the page link.
Please be advised that I am not associated with the information contained on the page for the link. I found it through a search. I am not responsible and will not be liable for any information found on the page link.
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