Sequences & Series Project Information

Sequences and Series and
Recurrence Relations Project

Patterns are everywhere. Some are manmade while others are natural. The Golden ratio is a common example of the natural pattern that exists in the world. It is proof that math is not created but inherent in nature. Throughout history, the Golden Ratio and other patterns have been used in art, architecture, and music.  Your final work must be submitted by the beginning of class on Monday, 3/20.  Everyone should be turning in an 11x17 poster with their final work.  If you have any questions, please email me.

Golden Ratio or General Pattern

This project is comprised of two parts as described below.

Part 1

Discover the Golden ratio and other patterns on your own. Use the world around you as inspiration! Look for the Golden Ratio, Fibonacci Sequence, or other patterns in the surrounding art, architecture, music, everyday objects, or in nature (even in humans!). Provide an image, photograph of the object, or a copy of the score and a 4-5 sentence paragraph explaining how your discovery incorporates the pattern.

Part 2

You have seen several examples of the Golden Ratio and other patterns in the fine arts. Create a work of art (drawing, musical composition, etc) that incorporates the Golden Ratio, Fibonacci Sequence, or another pattern of your choosing on an 11x17 poster. Then, provide a 4-5 sentence paragraph explaining how your work of art incorporates the pattern.

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By the end of class on Wednesday, you should have all of the content you need in order to complete the requirements of the project.  You should spend Thursday creating your poster and making sure it is up to par aesthetically.  Projects are due on Monday, at the beginning of class.  You may submit your project any time prior to that.

Rubrics:

Golden Ratio Project Points Earned Points Possible Part 1 Explanation 10 Originality of discovery 5 Part 2 Explanation 10 Originality/Creativity 5 Neatness 5 Attractiveness 5 Total: 40