Music of Math: 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)

Monday, February 10, 2014

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
$\displaystyle \frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2} = 1.$

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

Music of Math

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Monday, February 10, 2014

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)

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