Wednesday, May 20, 2009
Intro to Calculus (Class 83)
Lesson Title
Lesson for HW 27: Know Your Limits (4)
Overview
Students have time during the opener to continue their work on WS 26. The lesson for today, “Who’s the Boss”, focuses on working with limits involving x-values which head to infinity.
Textbook Sections
§2.2 (p.85) The Limit of a Function
Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative
area
definite integral
polar graph
Cartesian
Key Attitudes
Math is about using what you know to create something new.
Key Ideas
A limit can be thought of as the value a function approaches.
Limits can be determined graphically, numerically, or algebraically.
When evaluating limits algebraically, first substitute the value and see what happens. If you get an indeterminate form, then you re-write it using algebra so that it is not an indeterminate form.
Limits involving the x-value going to infinity can often be evaluated by determining which part of the function dominates.
Key Skills
I can explain the meaning of a limit of a function.
I can determine the limit of a function using a graph, a table of values, or algebra.
I can evaluate the limit of a function which involves the x-value approaching infinity.
Turn-In (#82)
WS 25
Handouts
Lesson for HW 28: Who’s the Boss?
Assignment
WS #26 #1-9
HW 28 #1,2
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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