HolcombMath

Friday, March 12, 2010

HL (Class 63)

Lesson Title
Lesson 21: Looking Closely (1)

Overview
Today students continue to examine functions from a very close perspective. They see that when viewed closely enough, all smooth continuous functions become essentially linear.
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 and any other previous work.
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.