GOLDEN RATIO WORKSHEET

This worksheet can be used to record your answers for the various exercises in this lesson. This lesson is meant as an introduction to this topic and not at all exhaustive. You will, however, come away with a sense of some of the significance the Golden Ratio has in our world and a good basic understanding of the subject. We hope it will also develop a thirst to find out more. To this end, the links found throughout these pages should provide you with a good starting place.

** FIBONACCI SEQUENCE **

1. List the first 20 numbers in the Fibonacci Sequence

___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___

2. Calculate the ratios of the above number found by F[n-2] / F [n-1] where
the nth term of the sequence is denoted by F[n] .

1. ______ | 8. ______ | 14. ______ |

2. ______ | 9. ______ | 15. ______ |

3. ______ | 10. ______ | 16. ______ |

4. ______ | 11. ______ | 17. ______ |

5. ______ | 12. ______ | 18. ______ |

6. ______ | 13. ______ | 19. ______ |

7. ______ |

1. ______ | 8. ______ | 14. ______ |

2. ______ | 9. ______ | 15. ______ |

3. ______ | 10. ______ | 16. ______ |

4. ______ | 11. ______ | 17. ______ |

5. ______ | 12. ______ | 18. ______ |

6. ______ | 13. ______ | 19. ______ |

7. ______ |

** THE GOLDEN RATIO **

rectangle | length | width | ratio of length to width |

my favorite | ______ | ______ | ______________ |

3" x 5" index card | ______ | ______ | ______________ |

8.5" X 11" paper | ______ | ______ | ______________ |

2" X 3" school photo | ______ | ______ | ______________ |

finger rectangle | ______ | ______ | ______________ |

another rectangle | ______ | ______ | ______________ |

and another | ______ | ______ | ______________ |

and another | ______ | ______ | ______________ |

just one more? | ______ | ______ | ______________ |

AVERAGE (of above table) _________

** OTHER CALCULATIONS **

OBJECT | length | width | ratio of length to width |

Parthenon | ______ | ______ | ______________ |

Mona Lisa's head | ______ | ______ | ______________ |

PENTAGON | length-side | length-diagonal | ratio of side to diagonal |

______ | ______ | ______________ | |

CROSS | upper | lower | ratio |

______ | ______ | ______________ | |

TRIANGLE | length of leg | length of base | ratio |

______ | ______ | ______________ | |

area of large | area of small | ratio | |

______ | ______ | ______________ |

AVERAGE (of above table) _________

Let's move on.