Thursday, April 16, 2009
Intro to Calculus (Class 71)
Lesson Title
Rate of Change by Table, Graph, or Equation
Overview
Today’s lesson focuses on approximating the rate of change of a function at a point when given a graph of the function, a table of values, or an equation. Students learn that using an average of average rates of change can be an effective tool for estimating the instantaneous rate of change at a point.
Textbook Sections
N/A
Vocabulary
function
independent variable
dependent variable
with respect to
rate of change
limit
derivative
Key Attitudes
Math is about using what you know to create something new.
Key Ideas
The rate of change for a function at a given point can be approximated by finding averages over very small intervals.
The instantaneous rate of change of a function at a point can be approximated by using an average of average rates of change. This is especially helpful when working with experimental data.
Key Skills
I can use a graphing calculator to examine what is happening to a function on a very small scale.
I can determine what is happening in a situation by examining a graph.
I can sketch a graph to represent the relationship between variables.
Turn-In (#70)
Homework 22 All
Handouts
Lesson for Homework 23
Homework 23
Workshop 23
Assignment
Homework 23- All
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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