Tuesday, March 16, 2010
HL (Class 64)
Lesson Title
Lesson 22: A Return to Limits
Overview
In today’s class students see how the concept of local linearization can help us determine the limits of certain types of functions.
Textbook Sections
Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative
explicit equation
implicit equation
Key Attitudes
Willingness to work as a group to help meet individual and group goals.
Enduring Understandings
Change is fundamental to understanding functions.
Mathematical relationships can be represented in 4 main ways: Graphical, Numerical, Algebraic, Verbal (written and oral).
Essential Question
How can the fact that differentiable functions are locally linear help us find limits of functions which have an indeterminate form when evaluated at the limiting value?
Key Knowledge
Local linearization.
Finding the limits of functions using multiple representations.
Key Skills
I can determine if a limit has an indeterminate form.
I can find the limit of functions which are in the form 0/0 or infinity/infinity
I can transform functions which are in other indeterminate forms into 0/0 form.
Turn-In (#-1)
PS 21 and any other previous work.
Handouts
No Handouts Posted
Assignment
PS 21, PS 22
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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