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! 



   

WPP #6: Unit I Concepts 3-5: Compound Interest

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SV #4: Unit I Concept 2: Graphing Logarithmic Functions

     Viewers need to pay special attention to the x-intercept, in that to get rid of the log and its base, you exponentiate so you cancel the log and remember that the other number on the other side is now the exponent and the number that it was exponentiated by is their main number. The viewers also need to pay special attention to the y-intercept, in that it does not have a common log so you have to divide by natural log or logarithmic to get rid of the log in the equation. When ever dealing with graphing a logarithmic function, your range will always be (negative infinity, infinity) and your domain will be the number you got as your "x" in the asymptote, and that will be your point for the domain; (x, infinity). Also take note that a logarithmic function graph goes to the right. Thank you for watching and have a nice day!

SP #3: Unit I Concept: 1 Graphing Exponential Functions

     The viewers need to pay special attention to the x-intercept. There is no x-intercept because "-5/3" is a negative number and you cannot have a negative number when dealing with logs; so the equation will not work. The viewers also need to pay special attention to the exponents because when you have a fraction as your main number and you have a negative exponent, the fraction will turn into a whole number; but this does not apply for this situation, so you do not have to worry. Also, they need pay special attention to the domain and the range; there is no x-intercept so your domain does not have a limit to it so your domain will be (negative infinity, infinity); since your asymptote is 5 and your equation is positive, then you know the limit notation will be (5, infinity). Thank you for visiting my blog!

SV #3: Unit H Concept 7: Finding Logs with Given Approximations

     The viewers need to pay special attention to how to break down a number using their clues. Try to use the numbers in your clues so you can plug in those numbers at the end when your bring them down. Also, remember if the log has a power in it, remember to put it in the beginning of the log and bring it down when you get your final answer. The viewers also need to make sure they know how to convert the powers into radicals or the opposite of that. The positive numbers always go on top as the numerator and the negatives go on the bottom as the denominators.

     For those wondering why I chose K-R-I-S as my clue words, it was because I'm a big fan of EXO and I thought about Kris since we need to use 4 logs in the equations and also because I love him. My Kris Oppa so happened to have four letters in his name, so it was enjoyable to involve Kris Oppa into my equation. Thank you for watching!

SV #2: Unit G Concept #1-7: Rational Functions

     This problem is about everything with rational functions! You will learn about finding horizontal asymptote, slant asymptote, vertical asymptote, hole(s), domain, x-intercept(s), y-intercept(s), and how to graph them. You will also learn the difference between each asymptote and their rules.

     The viewers need to pay special attention to limit notation for the vertical asymptote since it involves using you graph. If you put in your equation wrong in your calculator, then the graph will be wrong and your notations will be wrong, so you need to pay attention to also where the graph is and where it is going. The viewers also need to pay special attention to when the equation has a hole, to you the factored equation instead of the original equation because the equation will not work out, so you the factored equation instead!

     Thank you for watching, reading, and visiting my blog!

SV#1: Unit F Concept 10: Finding Zeroes Of Polynomials (Real and Imaginary)

     The problem is about putting everything in Unit F together. Using the synthetic division to find zero hero, and getting the numbers that made zero hero as your factors and zeroes. Everything in Unit F has a purpose in Concept 10 equations to find your answers. With every step, you get closer to the answer, and it helps you limit the numbers you have to try to get zero hero and your factors.

     The viewer need to pay special attention to the first exponent because that determines how many answers you will have. The viewers also need to pay special attention to when they need to use completing the square or the quadratic formula. They have to pick either one to factor the quadratic equations, but they have to make sure the one they pick is the easier one to get their answer. When finding a possible rational zero to use in the synthetic equation, they could use their calculators to find it to make it easier for them. Plug in the equation, graph, put trace, and then guess a number from the possible rational zero and what ever number makes y=0, then it will work.

     Thank you for watching and going on my blog! I see you all as my fans, and I thank you all for supporting me!

SP #2: Unit E Concept: 7 Graphing Polynomials

     The problem is about graphing polynomials. In order to graph polynomials, they first have to factor the equation, then they equal it to zero so you get your x-intercepts; because you have your x-intercept, you see what the multiplicities are so that determines what kind of line will go through the point.. To get your y-intercept, you plug in zero to the original equation and the number you get, you plug it in to the y value and you get your y-intercept. In order to get your end behavior, you have to see what kind of graph it is by the first number of the original equation; meaning if it's positive or negative and if the exponent is odd or even.  

     The viewers need to pay special attention to the multiplicities and the End Behavior in order to understand. The End Behavior determines what kind of graph it is, and the multiplicities determines what kind of line goes through the point. If the multiplicity is one then it goes thru, if two it bounces, and if it's three it curves to the point. The most important thing is to go through the points, if a point isn't there, then you can't go through another point. 

WPP #4 Unit E Concept 4: Maximizing Area

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WPP #3: Unit E Concept 2: Path of Football

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SP #1: Unit E Concept 1: Graphing a quadratic and identifying all key parts

The problem is about finding the parent function equation, vertex, maximum or minimum, y-intercept, axis, x-intercept, and if there is and exact and approximate point. Mainly, this problem is about polynomials. With polynomials, you have to see what goes with what. Like the number of terms, degrees, and graphing them.

The viewers need to pay special attention in order to understand is when factoring, they have to do it correctly or your whole equation is wrong. Also, if the equation had imaginary numbers, then you won't be able to plot those points because we are dealing with all real numbers. A last thing they need to be careful for is to make sure when you put your answer for the axis, you must and I say MUST include x= to it or else it is wrong.

WPP#2: Unit A Concept 7- Profit, Revenue, Cost

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WPP#1: Unit A Concept 6- Linear Models

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