Ellipse Questions

1. What is the mathematical definition of this conic section and how does that definition play a role in the properties of the conic section and how it is shaped or formed?

The mathematical definition of an ellipse is the set of all points of the distances from two fixed points is constant. Whenever you take a point in the ellipse the distance will always add up to the focus points which are constant. The definition affects how the graph will look like. The shape of the ellipse is formed depending where the bigger number is located, if under x or y. If under y then the graph will be skinny. In the other hand if the bigger number would be under x then it would be fat. Depending on the x and y will determine the type of shape the ellipse will have.

2. How does the focus (or foci) affect the shape of the conic section?  (If you choose ellipses, you should include information about eccentricity in your response; if you choose parabolas, "p" should be a big focus... haha, get it? "p" is the distance from vertex to focus and it should be a big focus. Ok, moving on...)

The focus is inside the ellipse. The distance from the focus to any point in the ellipse will always be the same no matter where the distance is. The eccentricity of an ellipse should be under 1 and it is found by dividing c/a. Depending on the eccentricity will determine the shape of the ellipse. For instance, the bigger the eccentricity like .983 then the thinner and longer it seems to be compared to an eccentricity of .533 which may look somewhat rounder but not a circle.

3. How do the properties of this conic section apply in real life?  (While using the exact examples I gave you may be acceptable, I will be looking for some research, creativity, and thought.  There is a lot out there!)

The properties of ellipses are everywhere for example the race track is shaped as an ellipse. The shape of the track that is shown in most races and done in competitions is shaped as an ellipse. Also, hockey rings have the shape of an ellipse. There are many things that are shaped like ellipses that we don’t even notice like the bicycle chains and the orbits of the planets. 

citations:

•  http://mathforum.org/sanders/geometry/GP18Ellipse.html
• https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcRc_CVAgh6-BZmbqowwrzzp5u1V_DcBS1PJgnyz72XeMiAZtrlEWg
•  http://cdn1.bigcommerce.com/server5200/eaffa/products/40/images/135/new_titiam_brac__89797.1342445689.1280.1280.jpg

Fibonacci Haiku #3

Internet

Distracting

Social media

May create problems

It helps clarify ones questions

Surfing the internet has grown world wide

Fibonacci Haiku #2

Phone
Communication
Long distance
Brings everyone closer
It helps keep in touch
Family is closer with a simple dial

WPP Unit L Concept 9-14

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WPP Unit L Concepts 4-8

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WPP Unit K concept 11

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Student Problem #7 Unit K Concept 10 Writing a repeating decimal as a rational number using geometric sequence

• What is this problem about?

This problem demonstrates how to write a repeating decimal as rational number. We use geometric series to find the answer. the problem shows step by step how the problem is solved from finding a sub 1 because it's the first term to finding the ratio, which is when we take one of the numbers and divide it by the previous giving the answer, to the process of solving and getting the answer.

•  What must the reader pay close attention to in order not to make a mistake?

The reader needs to pay close attention that once you get your answer you must try and simplify as much as possible. Another thing is that you can check your answer by using the calculator. So for instance the problem shown in the picture above if you input in the calculator 49/99 that would equal the original problem of .49494949.