Standard #: MA.912.D.11.5 (Archived Standard)


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Explore and use other sequences found in nature such as the Fibonacci sequence and the golden ratio.


Remarks


Example:  Determine the first ten terms of the Fibonacci sequence. Calculate the ratio of the two adjacent terms such as the ratio of the second term to the first term, third term to the second term, fourth term to the third term, and so on. What would happen to the ratio between two adjacent terms as the sequence proceeds?

General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Discrete Mathematics
Idea: Level 3: Strategic Thinking & Complex Reasoning
Standard: Sequences and Series - Define and use arithmetic and geometric sequences and series.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived

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The golden ratio

In this tutorial, students learn an algebraic approach to understanding Phi, one of the most amazing numbers in mathematics.

Student Resources

Tutorial

Name Description
The golden ratio:

In this tutorial, students learn an algebraic approach to understanding Phi, one of the most amazing numbers in mathematics.



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