Number Representations—Fibonacci Nim

Apply the Fibonacci number patterns to writing numbers with varying bases. Learners begin by practicing writing numbers with a given base, b. They then apply the process to write large numbers using the Fibonacci representation. 

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CCSS: Designed
Instructional Ideas

  • Incorporate as an introduction to a unit on exponential and logarithmic equations
  • Ask pupils to bring in UPC samples to use during the activity
Classroom Considerations

  • Requires an understanding of exponents and properties of exponents
  • The first in a series of three Illuminations lessons
Pros

  • Highlights patterns within numbers
  • Provides visual representations to model different bases
Cons

  • None
Common Core