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
