10-001-S-TilingHallway

By Rob Krueger1, Eric Stachura2

1. Mathematics, Concordia University, St. Paul MN USA 2. Mathematics, Kennesaw State University, Marietta GA USA

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Modeling Scenarios

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Abstract

Students will investigate difference equations through the context of tiling hallways. Students will observe patterns in the tiling which will lead to a difference equation model. Solutions will be calculated by iteration.  Then students will be introduced to the concept of the shift operator which will enable them to solve for a closed form solution. 

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Researchers should cite this work as follows:

  • Rob Krueger; Eric Stachura (2019), "10-001-S-TilingHallway," https://www.simiode.org/resources/6417.

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Tags

  1. analytic
  2. characteristic
  3. classroom
  4. difference
  5. form
  6. geometry
  7. iteration
  8. linear
  9. medium
  10. model
  11. modeling
  12. order
  13. pattern
  14. recurrence
  15. Shift Operator
  16. solution
  17. Tiling