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

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Fibonacci Beauty Ratio

Friends Name: Mia

Foot to Navel: 107 cm

Navel to top of Head: 62 cm

Ratio: 107/62=1.726 cm

Navel to Chin: 43 cm

Chin to top of Head: 21 cm

Ratio: 43/21=2.048 cm

Knee to Navel: 55 cm

Foot to Knee: 49 cm

Ratio: 55/49=1.122 cm

Average: 1.632 cm

Friends Name: Ashley

Foot to Navel: 94 cm

Navel to top of Head: 64 cm

Ratio: 94/64=1.469 cm

Navel to Chin: 43 cm

Chin to top of Head: 22 cm

Ratio: 43/22= 1.956 cm

Knee to Navel: 55 cm

Foot to Knee: 45 cm

Ratio: 55/45=1.222 cm

Average: 1.549 cm

Friends Name: Eriq

Foot to Navel: 111

Navel to top of Head: 62

Ratio: 111/62=1.790 cm

Navel to Chin: 45 cm

Chin to top of Head: 22 cm

Ratio: 45/22= 2.045 cm

Knee to Navel: 62 cm

Foot to Knee: 47 cm

Ratio: 62/47=1.319 cm

Average: 1.718

Friends Name: Tina

Foot to Navel: 93 cm

Navel to top of Head: 58 cm

Ratio: 93/58=1.603 cm

Navel to Chin: 41 cm

Chin to top of Head: 20 cm

Ratio: 41/20=2.050 cm

Knee to Navel: 48 cm

Foot to Knee: 46 cm

Ratio: 48/46=1.043 cm

Average: 1.565 cm

Friends Name: Kelsea

Foot to Navel: 100 cm

Navel to top of Head: 58 cm

Ratio: 100/58=1.724 cm

Navel to Chin: 41 cm

Chin to top of Head: 20 cm

Ratio: 41/20=2.050 cm

Knee to Navel: 53 cm

Foot to Knee: 51 cm

Ratio: 53/51=1.039 cm

Average: 1.604 cm

Based on Fibonacci's Beauty Ratio, both Mia and Kelsea are the most beautiful out of the 5 friends. Both Mia and Kelsea tied for first place by a 0.14 cm difference to Fibonacci's number. Kelsea was 0.14 cm less than 1.618, while Mia was 0.14 cm more than 1.618. The person who was the least beautiful was Eriq, with a 0.1 difference. In fourth place was Ashley, with a 0.069 difference. In third, place was Tina with a 0.053 difference. My opinion on the Beauty Ratio is that it is not accurate, but because I was close to 1.618, it made me happy even though I do not believe it is one-hundred percent true. I believe that the Beauty Ratio is not real because beauty is defined differently for everyone. Beauty in the United States is different than what is beautiful in South Korea. We each have our own standards so I think the beauty ratio is not accurate or true.

SP #6: Unit K Concept 10: Writing a repeating decimal as a rational number using geometric series

The viewers need to make sure to include the summation notation, sum formula, and the sum as their answer. to find "r" you have to get the second number and divide that by the first number to get it. Viewers need to also make sure to add zeroes every time you keep going down. Explanation: Since twelve is made up of two numbers, when you get the other pair you fill their numbers up with zeroes. The viewers also need to make sure to bring down the whole number in the decimal and multiply it with the answer you got or else your answer will be wrong.

Fibonacci Haiku: EXO

EXO

Oppas

Korean Chinese

I Love Them

Best Album Of The Year

I Am So Proud Of My Twelve Oppas

http://25.media.tumblr.com/2e89332501f51c70fe87c5664ea330ad/tumblr_mwo8aitOHm1srdxwto1_500.jpg

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

The viewers need to make sure to multiply the denominators by the right factors or else the equation will not be correct. The viewers all need to separate each grouping correctly because you will later on take out the variables and if something is missing or out of place, your equation will be wrong. Using a matrix to show your work would be to much of a hassel so instead we use substitution and canceling to find one of the variables. After doing that, the viwers should remember to subsitute their answers for the variables into the equation to find the other vairables. After getting all the variables, you plug it in the original equation "A/(x-2) + B/(x+1) + C/(x+1)^2 + D/(x+1)^3" and that will be your answer.

SP #4: Unit J Concept 5: Partial Fraction Decomposition with Distinct Factors

     The viewers need to keep in mind that the first part of the equation is composing and the second part is decomposing. The second picture shows the initial matirx and the third pictures shows the reduced matrix. The viewers need to pay speacial attention to which category goes with which and to make sure they multiply the factors correctly. The viewers need to make sure that if the variable is not there, they need to put a zero in its place, because later on when we cancel the variable, we need to know what the remainders are to put it in the new equation. To check if your answer is correct, you can plug it in your calcultor by using "rref" and if the numbers match from your original equation, then you did it correctly. Also, make sure you group them correctly and a tip for that is using different colors to make sure you get everyone you need.

SV #5: Unit J Concepts 3-4: Matrix-Gaussian Elimination

     Viewers need to pay special attention to where each variable belongs in each of their spots. Some variables are missing so try not to forget to put a zero in their place or your whole equation will be wrong. Also, to make your life easier, if you factor a common number then you will be dealing with smaller numbers, making it easier for you to do the equation and not make a mistake. Viewers also need to remember that they must get triangular zeroes and stair step ones in their matrix, if you forget this tip, your whole equation will be wrong and you can get "no solution-inconsistent" as your answer which will be wrong. To help you make sure you got the right answer, you use the Gauss-Jordan Elimination system in your calculator to make sure your points are correct. I would highly recommend the Gauss-Jordan Elimination system if you have a graphing calculator so you know what you should get at the end as your answer. Thank you for watching!

     P.S. For those who voted for EXO at the EMA's, I would like to say thank you for supporting my oppas. 사랑해 EXO!