GRADES 9 - 12
learn to calculate average rate of change of a function over an interval and to then approximate instantaneous rate of change as the average rate of change over increasingly smaller intervals;
visualize the relationship between average rate of change and instantaneous rate of change on graphs of functions.
NATIONAL SCIENCE STANDARDS:
Motions And Forces
STANDARDS FOR TECHNOLOGY LITERACY:
The Nature of Technology:
Students will develop an understanding of the relationships
among technologies and the connections
between technology and other fields of study.
NATIONAL MATHEMATICS STANDARDS:
Analyze functions of one variable by investigating rates of change.
Use symbolic algebra to represent and explain
Judge the meaning, utility, and reasonableness of the results of symbol mani
pulations, including those carried out by technology.
Approximate and interpret rates of change from
graphical and numerical data.
Recognize and apply mathematics in contexts outside of mathematics.
LECTURE AND PREPARATION TIME:
WORDS TO KNOW:
- instantaneous velocity
This lesson was used as part of
the Sport Science, Engineering and Technology (SSET) project
supported in part by a Society of Women
Engineers program development grant
(DR183) funded by
the ExxonMobil Education Foundation, with additional funding
from the New England Women's Fund,
New Balance Foundation, MIT Community Service Foundation and
Cislunar Aerospace, Inc.
Copyright © 2003-2004 by Donna Farrior
All Rights Reserved.
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