Math Problem Statement

The goal is to demonstrate an understanding of sequences and patterns through photographic representation. This performance task aims to explore the interplay between mathematics and nature by visually analyzing and applying mathematical concepts to natural patterns. You are a passionate nature photographer commissioned to present your best photograph of patterns found in nature for inclusion in an educational magazine. The following guidelines should be followed: • Using the four pictures or images below a photograph of nature (not man-made) that exemplifies natural patterns. Analyze these patterns using mathematical concepts such as symmetry, tessellations, fractals, the golden ratio, or sequences. • From four images, give a brief mathematical analysis below the images. The mathematical analysis should answer the following: What are your examples of patterns found in nature? Where are the patterns in each image or photo? How important are the patterns we see every day?

Solution

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Math Problem Analysis

Mathematical Concepts

Symmetry
Tessellations
Fractals
Golden Ratio
Sequences

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12