Thursday, February 12, 2009
Intro to Calculus (Class 52)
Lesson Title
Circular Functions (5)
Overview
Sharing approaches and solutions to Sangaku 10 and working on Sangaku 11 will be the opener for today. Then students will have time to finish Workshop 15 and begin work on Workshop 16.
Textbook Sections
N/A
Vocabulary
radian
central angle
terminal side
circumference
rotation
circular function
Key Attitudes
Math is about using what you know to create something new.
Key Ideas
Given two points on the circumference of a circle, one of the points can be rotated around the center to match up with the other point in an infinite number of ways.
The location of the point of intersection of the terminal side of a central angle and a circle are related to each other. This relationship is what is meant by the term “circular function”.
Key Skills
I can explain what a radian is.
I can give a mathematical reason for why radians are “better” than degrees.
I can find the location of a point on the circumference of a circle resulting from a rotation about the center of the circle using radians.
I can determine the quadrant that a point on the circumference of a circle will end up in as the result of a rotation about the center given in radian.
I can determine the measure of coterminal angles.
If I know the location of the point of intersection of the terminal side of an angle, then I can find the location of the point of intersection of the terminal side of “family members” of this angle by thinking geometrically.
Turn-In (#51)
Homework 17
Sangaku 10
Handouts
No Handouts Posted
Assignment
Finish Workshop 15
Workshop 16 #TBA
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.
Permalink