Thursday, October 22, 2009
IB Math SL (Class 24)
Lesson Title
Lesson for PS 8: Derivatives and Transformations (2)
Overview
In today’s class students we continue our work with derivatives and transformations.
Dynamic Worksheets (DWS)
http://holcombmath.com/sketches/I2C_geogebra_sketches/Derivatives_and_Transformations_1.html
http://holcombmath.com/sketches/I2C_geogebra_sketches/Derivatives_and_Transformations_2.html
Textbook Sections
Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative
Key Attitudes
Willingness to work as a group to help meet individual and group goals.
Key Ideas
For any differentiable function f(x), a slope (derivative) can be found for any value of x.
A function can be created using the derivatives (slopes) of another function.
A derivative function is positive on the intervals where the original function is increasing-- in other words, where the slope of the original function is positive.
A derivative function is negative on the intervals where the original function is decreasing-- in other words, where the slope of the original function is negative.
A derivative function is zero on the intervals where the original function is remaining constant-- in other words, where the slope of the original function is zero.
A function can be created using the derivatives (slopes) of another function.
Key Skills
I can plot points, in any of the four quadrants, on a coordinate grid.
I can use what I have learned in this unit to solve a complex problem.
I can explain the four basic transformations of a function in terms of its graph or its equation.
Turn-In (#-1)
WS 5
PS 8 #TBA
Handouts
No Handouts Posted
Assignment
PS 8 #TBA
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
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