Optimal Strategies—Fibonacci Nim

This Optimal Strategies—Fibonacci Nim lesson plan also includes:

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Find the optimal strategy for winning the integer game. Young scholars challenge each other to different variations of a game exploring repeated subtraction in the final installment of a three-part series. They complete the lesson by using these patterns to find the binary and Fibonacci representations of integers. 

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CCSS: Designed
Instructional Ideas

  • Begin by playing several rounds against your class to highlight patterns of play
Classroom Considerations

  • Builds from the previous two lessons in the series
  • Requires an understanding of ordered pairs

  • Includes a handout for pupils to follow during the activity
  • Provides ideas for differentiation

  • None
Common Core