Friday, April 24, 2009
Intro to Calculus (Class 74)
Lesson Title
Workshop
Overview
Students have the opportunity today to reinforce and deepen their understanding of, and computational ability with, derivatives at a point and definite integrals through working problems. At the end of the period we will work cooperatively on a concept map for calculus so far.
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 (#73)
Finish HW 24
Handouts
Workshop 24
Assignment
Workshop 24 #TBA
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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