Thursday, February 11, 2010
IB HL (Class 55)
Lesson Title
Lesson 20: Related Rates (2)
Overview
In today’s class students continue to investigate how to use the rate of change of one variable with respect to another, and a relationship between variables, to calculate another rate.
http://holcombmath.com/sketches/I2C_geogebra_sketches/Triangle_Function_2.html
http://holcombmath.com/sketches/I2C_geogebra_sketches/Triangle_Function_3.html
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
How can the rate of change be used to find other rates of change?
Key Knowledge
The derivative of a function can be found implicitly.
Key Skills
I can make and label a diagram to represent a situation.
I can identify the key variables in a situation.
I can mentally model what is going on in a situation.
I can create equations relating the key variables in a situation.
I can create an equation between the two main variables in a situation.
I can find and use a derivative to determine find a related rate.
I can use multiple representations to determine if a function has a relative maximum or a relative minimum on a given interval.
I can use multiple representations to determine if a function is concave up or concave down on a given interval.
I can use multiple representations to determine if a function has an inflection point on a given interval.
Turn-In (#-1)
PS 19
Handouts
No Handouts Posted
Assignment
PS 19
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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