Angles and Degrees part2

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Presentation Description

Mini lesson on angles in standard position and degree measurement

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Presentation Transcript

Slide1: 

Angles are commonly measured in either Radians or Degrees Degrees A very old-fashioned way of measuring angles…

Slide2: 

The angle formed by rotating the initial side exactly once in the counterclockwise direction until it coincides with itself (1 revolution) is said to measure 360 degrees, abbreviated Initial side Terminal side Vertex

Slide4: 

So how are we going to measure angles? If we link them to the length of a day, the stars don’t quite realign. Then how about a year? The stars do align after a year. That’s about 360 days. I’m king. Make it so…

Slide9: 

Today we learned about Positive & Negative angles in standard position Co-terminal angles What a degree is Degree conversions Why these are as they are

Slide10: 

Radians Choice of Mathematicians & Scientists

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Image Sources Yumigia. (December 29, 2006). The North Star. Retrieved June 22, 2008 from www.flickr.com B.Wilson. (September 26, 2006). Aurora Borealis. Retrieved June 22, 2008 from www.flickr.com Mor (bcnbits). (October 30, 2007). Portal del’Angel. Retrieved June 22, 2008 from www.flickr.com Alvazer. (March 23, 2006). Koyaanisgentsi patchwork. Retrieved June 22, 2008 from www.flickr.com Stuck in Customs. (April 14, 2007). The magic of Disney. Retrieved June 22, 2008 from www.flickr.com J!mbo. (December 14, 2006). Untitled. Retrieved June 22, 2008 from www.flickr.com Erik. (December 28, 2007). The old library. Retrieved June 22, 2008 from www.flickr.com Danielkhc. (February, 25, 2007). Inverted vertigo. Retrieved June 22, 2008 from www.flickr.com Bitzi. (June 6, 2006). Pea boat. Retrieved June 22, 2008 from www.flickr.com RitaCrane. (July 23, 2006). Winter afternoon along the quais, Paris. Retrieved June 22, 2008 from www.flickr.com Lapskiaus. (May 13, 2006). Me trying out urban minimalism. Retrieved June 22, 2008 from www.flickr.com RobertSeber. (August 5, 2007). Male ruddy darter. Retrieved June 22, 2008 from www.flickr.com Garry. (January 27, 2008). Even in the quietest moments. Retrieved June 22, 2008 from www.flickr.com Imapix. (February 23, 2007). Morpho. Retrieved June 22, 2008 from www.flickr.com Haribi’s photos. (May 16, 2004). Old blue eyes. Retrieved June 22, 2008 from www.flickr.com Axel-. (November 15, 2006). Leaf veins. Retrieved June 22, 2008 from www.flickr.com Walkabout wolf. (November 14, 2005). Call of the ravin (formally nature’s special effects). Retrieved June 22, 2008 from www.flickr.com Vioricag. (February 25, 2007). Sunset. Retrieved June 22, 2008 from www.flickr.com ChelleL. (March 30, 2008). Triplets!. Retrieved June 22, 2008 from www.flickr.com Wonders. (November 29, 2007). Babylong, Ancient Iraq. Retrieved June 22, 2008 from www.flickr.com Mharrsch. (March 29, 2006). Louvre reproduction of the Law code of Hammurabi monolith originally produced between 1792 and 1750 BCE(1). Retrieved June 22, 2008 from www.flickr.com

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Image Sources continued Azem. (March 19, 2007). Star Trails. Retrieved June 22, 2008 from www.flickr.com MeirionMetthias. (May 7, 2007). United we stand. Retrieved June 22, 2008 from www.flickr.com CDavy. (March 29, 2008). Spadina house – Empty Jar JPG. Retrieved June 22, 2008 from www.flickr.com MrMark. (July 29, 2007). Crystal room. Retrieved June 22, 2008 from www.flickr.com Cobolt 123. (February 11, 2008). Blue purple red: amethyst crystals. Retrieved June 22, 2008 from www.flickr.com Cobolt 123. (April 1, 2007). Glowing crystals, quartz giant. Retrieved June 22, 2008 from www.flickr.com Sound Sources Microsoft. (September 26, 2003). Cooing baby – J0388205. Retrieved June 23, 2008 from www.microsoft.com Microsoft. (September 26, 2003). Lamb calling – J0388468. Retrieved June 23, 2008 from www.microsoft.com Microsoft. (March 27, 2003). Cairo market – J0074678. Retrieved June 23, 2008 from www.microsoft.com Microsoft. (September 26, 2003). Grand gong – J0388339. Retrieved June 23, 2008 from www.microsoft.com Music Source Jamie Janover. (April 24, 2004). Triangle in square. Evolutions. Retrieved June 22, 2008 from www.magnatune.com