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

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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. 

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

Pay close attention to when you FOIL because the son change can really make a difference. Distribute correctly and make sure you add the As Bs and Cs in the correct place. 

SV#5 Unit J, Concept 3-4: Solving three-variable systems with Gauss-Jordan elimination/matrices/row-echelon form/back-substitution

Be sure to actually try the problem first on your eon before doing it so that way you are able to compare the different ways you can solve it.

Unit I Concept 3-5

 Pay attention to the how i solved after plugging everything into the PERT formula

SV#4: Unit I Concept 2 Graphing logarithmic functions and identifying x-intercepts, y-intercepts, asymptote, domain, range (4 points on graph minimum)

      Make sure you pay attention to how I solve for the x-intercept and the y-intercept because those are the hardest parts to this whole equation. You also got to make sure your placing your asymptote in the correct place because like me, you can easily confuse these types of equations and the one's from concept 1 together.

SP#3 Unit I Concept 1: Graphing exponential functions and identifyingx-intercepts, y-intercepts, asymptotes, domain, range (4 points on graph minimum)

The first thing you have to do in this type of problem is figure out your a, b, h, and k, this will help you figure everything out. We know that y=k so our y will equal 9, this part of our problem is our asymptote, you should always find it first. Next thing we will find is our x-intercept. We sent y equal to 0 and this will take us back to unit H in finding how to solve for exponents, we will be using logs. In this problem you will notice that when you plug it in to the calculator it will show err. Why? Because you cannot have a negative log. This means there will be no x-intercept for this problem. We next move on to the y-intercept. You plug in 0 to the x. Here you will have to solve which is simple. Next you find the domain  which does on forever because the domain is the x-axis. Now the range is different. In the beginning we found all or our parts to the problem, now if the "a" is negative, you will have negative infinity up to the asymptote. If the "a" you will have the asymptote and then infinity. After all of this you have some points. You need more to be able to graph this so choose any point you want on the x-axis and find the y for it then graph it.

      Make sure you pay attention to how I found the x and y intercept because that will get tricky. You will need a calculator I this part to solve for it. Remember if the number it negative you will not be able to graph it.

SV#3: Unit H, Concept 7 Finding logs given approximations

      In this video you will learn how to find logs given the approximation. You will be given a condensed log and your job is to expand it with the given logs on the, the "hints." With these logs you will also be given a set of letters and you are to find which letters you may or may not use.

     Be sure to be using you calculator while you are doing this problems. You need to make sure you are dividing these problems correctly as well because if not it will throw off the entire problem.

SV#2: Unit G Concepts 1-7 - Finding all parts and graphing a rational function

          

         This problem is teaching you all about Ration Functions. You learned everything you need to know to be able to graph these rational functions. 

          Make to pay attention to your calculator and zoom out so your able to see the full graph. I have also drawn out the graph so you can see. Make sure you factor out your polynomials correctly and simplify as much as possible. Every step is crucial to be able to graph these rational functions.   

SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a polynomial

        In this problem you will learn how to find the zeroes to a polynomial with the degree 4. It is a long process to find the zeroes so you have to go step by step.

      Make sure to pay close attention to every theorem brought up because each one is crucial to be able to solve this equation.

SP#2: Unit E Concept 7 - Graphing a polynomial and identifying all key parts

     This problem is taking all that we've learned in Unit E and putting it all together. We take each concept and apply it in each step. The first step we get our equation and factor it out. The next step we find our end behavior, we do our dance to remember end behaviors. Our end behaviors helps us figure out what way the arrows will be heading in our graph. on Our 3rd step we take our zeroes from the factored equation. We take the multiplicity from them (Remember T B C(thru, bounce, curve)). Then, lastly, we find the y-intercept. We plug in 0 to all of our x's to find that.

     Pay close attention to what the multiplicity is! The multiplicity will tell you whether the line goes thru, bounces, or curves thru the x-intercepts. If its 1 it goes thru the point, if its 2 it bounces off the point, and if its 3 it curves thru the point.

WPP#4: Unit E Concept 3 - 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

      This problem is about creating a quadratic equation and completing the square in order to find the vertex, y-intercept, axis, and x-intercept(s).

      Make sure to pay close attention to how you complete the square to get your quadratic equation from Standard form to Parent function from.