One ratio to rule them all. Young mathematicians investigate the Fibonacci sequence and the Golden Ratio. To begin the first lesson, they use a spreadsheet to see how the Fibonacci sequence gives the Golden Ratio. The second lesson challenges them to find objects in nature that fit the Golden Ratio, while the last one has individuals create gauges to measure objects, testing for the Golden Ratio.

Concepts

fibonacci, sequences, golden ratio, patterns

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Additional Tags

math

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Instructional Ideas

• Challenge learners to find as many examples of the Golden Ratio in nature as possible
  

Classroom Considerations

• Access to a spreadsheet program is necessary
• Activities require objects from nature, such as pine cones; see the resource for specific details
  

Pros

• Provides strategies for differentiation
• Includes student worksheets and associated answer keys
  

Cons

• None

Common Core

HSF-IF.A.3