Monday, April 20, 2009
Intro to Calculus (Class 72)
Lesson Title
Introduction to the Definite Integral
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
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 (#71)
Homework 23
Handouts, Links
Intro to Calc: Lesson for Homework 24
Intro to calc: Homework 24
GeoGebra Reimann Sums-- Definite Integral by Rectangles
Assignment
HW 24 #1, 2
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.
Permalink