Thursday, September 25, 2008
Intro to Calculus (Class 11)
Lesson Title
Reading Functions,Thinking Graphs
Overview
In today’s class the warm-up continues the theme of relating position and speed. This time students are asked to examine the path of a roller coaster car and create a graph to represent the speed of the car in relation to how far along the track it has moved.
The lesson for today focuses on interpreting function notation in terms of the graph of a function. In particular students will need to be able to solve “function equations” by using the graph of the function and their reasoning skills.
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.
I can create a graph to represent the speed of a roller coaster car as a function of how far it has moved down the track when given a picture of the roller coaster track.
Turn-In (#10)
Finish HW 5
Handouts
Lesson for HW 6
Intro to Calc HW 6
Assignment
Homework 6 #1-7
Workshop 3 #1-5
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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