Wednesday, September 17, 2008
Intro to Calculus (Class 8)
Lesson Title
Reading functions, thinking graphs
Overview
The warm-up for today gives us a chance to take a second look at some previous ideas. The lesson moves us deeper into working with functions in particular strengthening the link between algebraic representations of functions and the graphs of these functions. We do extensive work on developing fluency with function notation and how this relates to geometric concepts of the graphs of the functions.
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 (#7)
Finish HW #4
Work on WS 2 with your group if possible.
Handouts
Homework 5
Lesson for Homework 5
Assignment
Finish WS 2
Homework 5: #1-7
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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