Friday, January 16, 2009
Intro to Calculus (Class 43)
Lesson Title
Final Exam Preparation
Overview
Today’s class is the last before the semester final. Students will have the opportunity to begin work on Sangaku 8, but this will not be due until after the final exam-- studying for exams can be tedious and I wanted something to help you keep minds fresh. During the class students will be able to continue their reworking material from the semester.
Textbook Sections
Vocabulary
exponent
base
negative exponent
discrete growth
continuous growth
e
limit
asymptote
Key Attitudes
Math is about connecting ideas.
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.
There are three fundamental properties of logarithms: the multiplication property, the division property, and the power property.
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.
I can justify and use the multiplication property of logarithms.
I can justify and use the division property of logarithms.
I can justify and use the power property of logarithms.
Turn-In (#43)
Workshop 12
Handouts
No Handouts Posted
Assignment
Work the problems you missed from previous tests. Fresh copies of the tests can be found here:
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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