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.

Does the Functional New Year Start at (0,0) or (0,1)?

General - This should be my best blog post so far this year...  This upcoming week, we will be continuing to learn about the sine and cosine graphs, key features and what happens when we apply  “shifts”.  There are only 8 lessons left before the quarter is over so these next few weeks are really important.  Listed below are some key dates and upcoming assessments/tasks.  

3 Key Goals for this week

• Master the important features of sine and cosine graphs and their corresponding equations.
• Be able to describe what happens to our functions and  graphs when we starting changing the   a, b, c, and d’s of y = a sin(bx) +d and more importantly understand how these coefficients are related to real-world phenomenon
• Demonstrate that you have mastered previous algebraic and graphing skills (new year’s packet)  If you don’t show mastery (above 80%) on this packet you will receive more problems to do and mandatory time after school or during advisory to learn it and show it!

3 Key Products (this week)

·         New Year’s Packet (see rubric on the website) if you want to print rubric out and self-assess tonight please do!  Anyone who does gets a new non-sharpening pencil as a reward.   Sample solutions are posted for you on my MHS webpage.

• Homework 4.2 will be assigned next class and due Friday.
• Quiz 4.1 – 4.2 on Friday (day3)
• 
  
• Key Assessments  and Dates this Month (tentative…they may change a little)

• In class portfolio task on Monday  January 14^th, 2013 (worth a test grade)
• Mid year exam – Thursday January 24^th, 2013 (both C- and D-period)
• Trigonometry Art Project Due January 18^th, 2013 (General Instructions already on website)

Happy 2013!  Notice I wrote the correct date each time.