Tuesday, September 23, 2008
Intro to Calculus (Class 10)
Lesson Title
Reading Functions,Thinking Graphs
Overview
The warm-up for today asks students “Are Graphs Just Pictures?” and provides them with some opportunities to think about this question. In the lesson today we develop a way to determine if a function is odd or even by examining the equation. Afterwards students will have lots of time to work on workshop 3 in groups of their choice.
Textbook Sections
N/A
Vocabulary
function
domain
Key Attitudes
Math is about thinking creatively.
Key Ideas
You can create functions by combining (compositing) other functions.
It is important to be able to move back and forth fluently between the graph of a function and the equation representing the function.
Key Skills
I can find the composition of two functions.
I can create a function to represent a situation involving area, perimeter, or volume.
I can use interval notation to describe the domain and range of a function (which may or may not be continuous) given the graph of the function.
I can identify expression involving a function as distances on a graph of the function and vide versa.
I can determine if the graph of a function is symmetric about the x-axis, y-axis, or origin.
I can determine if a function is odd or even when given the equation or the graph representing the function.
Turn-In (#9)
Homework 5 #8-12
Handouts or Links
Intro to Calc: Lesson for HW 5
Intro to Calculus Workshop 3
Sketch for Problem 4 on WS 3
Assignment
Finish HW 5
Workshop 3 #1-4
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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