IM 8.1.1 Lesson: Moving in the Plane

Which one doesn't belong?[br][br][img]data:image/png;base64,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[/img]
Move the slider or click the arrow to see "Dance A".
Write a description of the moves in this dance. 
Move the slider or click the arrow to see "Dance B".
Write a description of the moves in this dance. 
Move the slider or click the arrow to see "Dance C".
Write a description of the moves in this dance. 
We could think of each dance as a new dance by running it in reverse, starting in the 6th frame and working backwards to the first.[br][br]Pick a dance and describe in words one of these reversed dances.[br]
How do the directions for running your dance in the forward direction and the reverse direction compare?
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Information: IM 8.1.1 Lesson: Moving in the Plane