Tuesday, March 02, 2010
HL (Class 59)
Announcements
Related Rates Quiz Th.
Lesson Title
Lesson 21: Looking Closely
Overview
Today’s class begins with students working on related rate problems. Then they will be taking a look at a problem from a past IB exam concerning the transformation of function.
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
What does a function look like when viewed very closely? Do all functions behave like this?
How can an equation for the line which approximates a function at a given point be created?
Key Knowledge
How to zoom using a GDC.
Finding the limit of a function graphically, numerically, and algebraically.
Key Skills
I can explain what it means for a function to be locally linear.
I can determine if a function will have a local linearization.
I can find the local linearization of a function, if it exists.
Turn-In (#-1)
§ (Txt. p.)
Handouts
No Handouts Posted
Assignment
PS 21
IA
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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