Sunday, March 29, 2015

FourFive and Knowing Two of Three

FourFive Addition to  Trigonometry Playlist
It still doesn't feel like spring!  In response to a student request to add FourFive Seconds to the Trig. playlist, consider it added.  However, I originally thought I heard "Forty-Five" which connected to 45 seconds per minute loosely relating the lyrics to Trig.   Forty-Five clock seconds representing 3pi/2 radians of a turn of course.  But since Paul McCartney is involved we can add it to the playlist.

Two of Three
If I had to choose one number theme to relate FourFive to what we learned last week to what we will learn this week it is two of three.  In simplest terms, if you can identify Two of Three math facts in a word problem, you typically can connect to the elationship (Formula) you need to apply.    
                   
Typical Problems from Last Week:
                         Know:  Angle in Radians and Radius           Want:  Arc Length      
                         Know:  Rotations and Time                           Want:  Angular Speed    
                         Know:   Angular Speed and Radius               Want:  Linear Velocity

Two of Three Examples you will see this week:

Given a Triangle:                                                        
Know:  An OPPOSITE and HYPOTENUSE
Want:  The SINE of the Angle

SOH CAH TOA.  There is even a two of three mnemonic
to help you make decisions for basic trigonometry. 

Note:  SOH CAH TOA should be familiar from previous classes.   If it is not, I strongly recommend you visit Khan Academy (or another site) for basic trigonometry review.  https://www.khanacademy.org/math/trigonometry/basic-trigonometry  view first video and example.

More Additions to the Playlist
"So What'cha Want" to inspire you to show your work
 https://www.youtube.com/watch?v=RWfqPIyU9Zw

"My Shirona" because it sounds like the mnemonic SOH CAH TOA
https://www.youtube.com/watch?v=g1T71PGd-J0

"The Logical Song"  because you need to know radical form
https://www.youtube.com/watch?v=fBoYZqmcZuc  
and because classic music videos are a lost art form.

No comments:

Post a Comment