I/D# 1: Unit N Concept 7 : Knowing All Degrees and Radians Around the Unit Circle, Knowing All the Ordered Pairs Around the Unit Circle, Understanding and Applying ASTC to the Unit Circle

30 Degrees Triangle 

45 Degrees Triangle 

60 Degrees Triangle & The Unit Circle

The coolest thing I learned from this activity was… the special right triangles that we learned about in geometry (which was way back in freshmen year) is actually related to the Unit Circles we began learning about sophomore year. I now know that the ordered pairs aren't just numbers put together randomly, I understand where these numbers come from.
This activity will help me in this unit because…I understand where these numbers come from when it comes down to labeling all ordered pairs. I am able to figure out how to get these ordered pairs if I ever forget what goes where. I can just draw my triangles and solve them to find my ordered pairs.
Something I never realized before about special right triangles and the unit circle is…that they are related. When I first started learning about special right triangles I thought it was going to be something that we just learned and weren't going to go back on it and use it later on like we do when we learned algebra. We are actually taking what we learned about special right triangles in geometry and finding the ordered pairs of them for the Unit Circles we are now learning about in Math Analysis (Pre-Calculus).

RWA #5: Unit M Concept 5: Graphing ellipse given equations (must complete the square first) and identifying all parts (center, focus, major axis, minor axis, vertices, co-vertices, eccentricity)

1. Ellipse- The set of all points such that the sum of the distance of the two points is a constant


2. Equation


Graph
https://www.youtube.com/watch?v=lvAYFUIEpFI

3. RWA- "'The Whisper Chamber' at the United States capital is another example of an ellipse's special properties. Stand at one focus and you can hear perfectly someone whispering at the other focus, though it is much too far away to hear if not for the reflective property specific to ellipses." The National Statuary Hall is were the US House of Representatives use to meet. You are able to whisper from the focus point of the room and the other person on the other focus point is able to here. 
4. References

• http://www.lessonpaths.com/learn/i/unit-m-conic-section-applets/ellipse-drawn-from-definition-geogebra-dynamic-worksheet
• http://www.math.utah.edu/online/1010/conics/
• https://www.youtube.com/watch?v=lvAYFUIEpFI
• https://sites.google.com/site/arinsellipse/real-life-examples

WPP#9 Unit L Concepts 4-8: Calculating Possibilities

Create your own Playlist on MentorMob!

Pay close attention to the wording in each problem. the wording tells you what kind of problem its going to be and what formula to use

SP#6 Unit K Concept 10: Writing a Repeating Decimal As a Rational Number Using Geometric Series

In this problem I am going to be showing you how to take a repeating decimal and converting it into a fraction. Make sure to pay attention to how you are plugging in your numbers into the equation. You can easily get the wrong answer if you plug it in wrong, parentheses are very important. Make sure you are also using the correct formula as well.  

Fibonacci "Beauty Ratio"

Stephanie V.
Foot to Navel: 99 cm          Navel to Top of Head: 60 cm            Ratio: 99 cm/ 60 cm= 1.65 cm
Navel to Chin: 44 cm          Chin to Top of Head: 22 cm              Ratio: 44 cm/ 22 cm= 2 cm
Knee to Navel: 54 cm         Foot to Knee: 51 cm                         Ratio: 54 cm/ 51 cm= 1.06 cm

Average: 1.570 cm

Tommy O.
Foot to Navel: 107 cm         Navel to Top of Head: 65 cm            Ratio: 107 cm/ 65 cm= 1.65 cm
Navel to Chin: 42 cm           Chin to Top of Head: 24 cm              Ratio: 42 cm/ 24 cm= 1.75 cm
Knee to Navel: 61 cm          Foot to Knee: 46 cm                         Ratio: 61 cm/ 46 cm= 1.33 cm

Average: 1.577 cm


Daniel M.
Foot to Navel: 101 cm         Navel to Top of Head: 42 cm            Ratio: 101 cm/ 42 cm= 2.40 cm
Navel to Chin: 43 cm           Chin to Top of Head: 23 cm              Ratio: 43 cm/ 23 cm= 1.87 cm
Knee to Navel: 56 cm          Foot to Knee: 50 cm                         Ratio: 56 cm/ 50 cm= 1.12 cm

Average: 1.80 cm


Leslie N.
Foot to Navel: 95 cm          Navel to Top of Head: 63 cm            Ratio: 95 cm/ 63 cm= 1.508 cm
Navel to Chin: 45 cm          Chin to Top of Head: 21 cm              Ratio: 45 cm/ 21 cm= 2.14 cm
Knee to Navel: 51 cm         Foot to Knee: 43 cm                         Ratio: 51 cm/ 43 cm= 1.186 cm

Average: 1.611 cm


Tracey P.
Foot to Navel: 100 cm        Navel to Top of Head: 62 cm            Ratio: 100 cm/ 62 cm= 1.613 cm
Navel to Chin: 40 cm          Chin to Top of Head: 23 cm              Ratio: 40 cm/ 23 cm= 1.739 cm
Knee to Navel: 54 cm         Foot to Knee: 45 cm                         Ratio: 54 cm/ 45 cm= 1.2 cm

Average: 1.517 cm

Based on these results Leslie is the most beautiful according to Fibonacci Golden Ratio. Her average was 1.611 and the Golden Ratio is 1.618. I believe this Golden Ratio means that these are the measurements at which the "perfect" human should have. We are all beautiful and come in different shapes and sizes and don't really need something like this to tell us so but if you really want to find out how beautiful your proportions are you can go ahead and measure yourself. Everyone is different and have different measurements so nobody will ever measure the same.

Fibonacci Haiku: Cory Monteith

Cory
Inspiration 
Cory Monteith 
Loved the show 
The character played was real 
He was a great person with tragdic death

http://www.parade.com/54973/shawnamalcom/cory-monteith-a-reporter-remembers-his-revealing-interview-on-addiction-struggle/

SP#5 Unit J Concept 6: Partial Fraction Decomposition With Repeated Factors

In this problem is shows you have to partial factor decomposition with repeated factors. The first picture will go step by step with explanation to very step as why a certain step is being done. The second picture will show you have to compose it back together thus proving the first part right. Be careful with how you factor, if anything is off your entire problem will be wrong.