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Mathematical Practices
  • MP1 - Make sense of problems and persevere in solving them. (34)
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  • MP7 - Look for and make use of structure. (34)
  • MP8 - Look for and express regularity in repeated reasoning. (25)

Function Diagrams

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What if we graphed with parallel axes instead of perpendicular ones? This intriguing transformation exchanges points and lines; replacing points being on the same line, with lines passing through the same point. By changing the way we usually graph functions, new patterns and deeper understandings can emerge.