035-SingAlong: "Polar Plot"

(For Christmas: Dec 18/14) SING-ALONG 04 Math-Tans  present.... "Polar Plot"      (*aka "Let it Go") -------- Idina Menzel Version: Official Video:  http://www.youtube.com/watch?v=iEKLFS-aKcw Karaoke:  http://www.youtube.com/watch?v=uCyLO3rsCMA THIS PARODY VIDEO:  http://www.youtube.com/watch?v=UHHMjstN9xI Christmas Lights Version?  http://www.youtube.com/watch?v=FX2d1LamXb0 Each grid you try, will relate x and y. Rectangular is that graph. The system is Cartesian, It’s the high school epitaph. No other grids considered, they can be denied. Is there nothing else? What will you decide? Don’t need to know, don’t need to see, Won’t be tested, but math means more, surely! It’s not for grades, there’s no concern... Well, why not learn... Polar plot, polar plot! Co-ordinate angle view. Polar plot, polar plot! Points the way with distance too! I don’t care, math can be for play, r with theta’s fun. The x kinda bothered me anyway. If r is now our distance, hypotenuse we find. And the theta’s an inverse tan, our slope we’ve reassigned. To convert back, it’s trig we’ll do, with r, cos theta, and sine too, But there’s no need, as by degree...  You’ll see--! Polar plot, polar plot! Radians can be used as well, Polar plot, polar plot! This circle’s magic spell! Functions curl, on this display, r with theta’s fun! It’s power can be seen  for shapes we’ve not applied, Cardioids, Spirals too  as Archimedes once described, And don’t stop searching  for the ways these points are new! Square root of minus one? Yeah, we can graph that too! Polar plot, polar plot! No, you won’t find it on your test. Polar plot, polar plot! Please give your marks a rest. Here’s a grid, Shown in a new waaaay! r with theta’s fuuuun. The x kinda bothered me anyway.       -------- Demi Lovato Version: Official Video:  http://www.youtube.com/watch?v=kHue-HaXXzg Karaoke:   http://www.youtube.com/watch?v=5_EkKPPy12c THIS PARODY VIDEO:  http://www.youtube.com/watch?v=iehh3YYAmbU Polar plot, polar plot, Co-ordinate angle view. Polar plot, polar plot, Points the way with distance too. Each grid you try, will relate x and y, Rectangular is that graph. The system is Cartesian, It’s the high school epitaph. No other grids considered, they can be denied. Is there nothing else? What will you decide? Don’t need to know, don’t need to see, Won’t be tested, but math means more, surely! It’s not for grades, there’s no concern. Well, why not learn... Polar plot, polar plot! Co-ordinate angle view. Polar plot, polar plot, Points the way with distance too! Functions curl, On this display! Polar plot, polar plot! The x kinda bothered me anyway. If r is now our distance,   hypotenuse we find. And the theta’s an inverse tan,  our slope we’ve reassigned. To convert these points right back, trig will be the key, r cos theta, and sine too, but stay with degrees, you’ll see-- Polar plot, polar plot! Radians can be used as well, Polar plot, polar plot, This circle’s magic spell! Functions curl, on this display, Polar plot, polar plot! The x kinda bothered me anyway. Cardioid. Spiral. Graph them upon arrival. Roots with, a minus. See math that’s oh, so timeless. So much you can show!! Polar plot, polar plot. Co-ordinate angle view. Polar plot, polar plot! Points the way with distance too! Functions curl, on this display, Polar plot, polar plot! The x kinda bothered me anyWAY! Background Vocals: Cardioid. Spiral. Graph them upon arrival. POLAR PLOT! Roots with, a minus. See math that’s oh, so timeless. Cardioid. Spiral. Graph them upon arrival. SPIRAL! POLAR PLOT! Roots with, a minus. See math that’s oh, so timeless. Polar plot. Previous Years: "O Factor Tree" ; "A Squared Song" ; "Decimal" You can Go Here To Comment.