Wednesday, April 22, 2009
Intro to Calculus (Class 73)
Lesson Title
Introduction to the Definite Integral (1)
Overview
Students have the first 30 minutes in class to work together to finish Workshop 23. The remainder of the class focuses on further students understanding of and ability to estimate the definite integral.
Textbook Sections
N/A
Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative
area
definite integral
Key Attitudes
Math is about using what you know to create something new.
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 (#72)
WS 23
Handouts
Workshop 24
Assignment
Finish HW 24
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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