Tuesday, December 16, 2008
Intro to Calculus (Class 38)
Announcements
There will be a test next class focusing on exponential growth and working with logarithms as represented by homework assignments 12 to 14 and workshops 10 and 11.
Lesson Title
Exponents and Logarithms (5)
Overview
The warm-up today asks students to examine what happens to $1 invested in an account which pays 50% annual interest as a function of the number of compoundings. The remainder of the class time will be dedicated to working on Workshop 11.
Textbook Sections
N/A
Vocabulary
exponent
base
negative exponent
discrete growth
continuous growth
e
limit
asymptote
Key Attitudes
Math is about thinking creatively.
Key Ideas
There are two types of questions we can ask concerning exponential: 1) Given the number of growth cycles, determine the quantity; 2) Given the quantity, determine the number of growth cycles. These questions are inverses of each other.
A logarithm is an exponential equation in disguise.
Problems involving logarithms can be solved by first translating the problem into one invovling exponents and then solving this exponent problem.
Key Skills
I can explain the meaning of a logarithm in both mathematical terms and real world situations.
I can solve problems which involve logarithms by translating them into exponent problems.
Turn-In (#37)
Homework 14
Sangaku 5
Handouts
Workshop 12
Money Changes Everything- 50% Annual Growth
Assignment
Workshop 11
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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