HolcombMath

Friday, February 06, 2009

Intro to Calculus (Class 50)

Announcements
Very possibly there will be a quiz on Friday focusing on radians and coterminal angles.

Lesson Title
Circular Functions (4)

Overview
The opener today is a quiz focusing on circles, central angles, and radians. After the opener students will have the opportunity to finish up Workshop 14. We will then a lesson focusing on the relationship between a central angle and the coordinates of the point of intersection of the terminal side of this central angle and the unit circle and how these coordinates and the central angle are related. Students then will have time to begin their work on Homework 17.
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.
Handouts
Homework 17

Assignment
Workshop 14
Homework 17 #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.