Thursday, August 27, 2009
IB Math SL (Class 7)
Lesson Title
Overview
In today’s class students will be introduced to another main idea of calculus: the definite integral. Students will learn what this term means, what is can be used for, and how to find an estimate of its value.
Textbook Sections
Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative
Key Attitudes
Willingness to work as a group to help meet individual and group goals.
Key Ideas
The definite integral can be thought of as the area under the graph of a function and above the x-axis.
A definite integral can be approximated by cutting up the area under the curve and above the x-axis into smaller shapes-- rectangles and trapezoids in particular.
The units for a definite integral are the product of the units of the independent (x) and dependent (y) variables.
Key Skills
I can explain the meaning of “definite integral”.
I can estimate the value of a definite integral by using rectangles (left, middle, or right) or by using trapezoids.
I can determine if a situation calls for finding a definite integral.
I can interpret the meaning of the definite integral using its units of measure to help.
Turn-In (#-1)
Assignment 3.1 (SL)
Handouts
No Handouts Posted
Assignment
Assignment 4 #2a, b, c, 3, 4
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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