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.