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Grade 5-6

Golden Spiral: What is the Fibonacci Sequence and the Golden Ratio?

by Ariella F. | Math FREE

4 Lessons 58:04
  1. 1. Fibonacci Sequence and Rabbits 9:51
  2. 2. The Golden Spiral 19:45
  3. 3. The Golden Rectangle 16:29
  4. 4. Let’s Bring It All Together 11:59

Grade 5-6


NGSS Standards



About the course

What is the golden spiral? Fibonacci sequence? Golden ratio? Have you ever held a seashell up to your ear to hear the ocean? If you look closely at the shell you will notice a spiral; this is not unique to seashells as this pattern frequently occurs in nature. To understand the spirals that occur in sunflowers, pineapples, and the Mona Lisa we must look into the work of Fibonacci, an Italian mathematician. We will also uncover the mathematical constant phi, otherwise known as the golden ratio, by observing nature, architectural works, and art pieces. Finally, we will derive phi’s close relationship to the Fibonacci sequence. After completing this course it will be impossible to ignore the golden spiral in your everyday life!


  • Art
  • Fibonacci Sequence
  • Golden Ratio
  • Golden Rectangle
  • Golden Spiral
  • Nature


Ariella is finishing up her senior year at Barnard where she will graduate with a BA in Economics. She has been tutoring for 6 years and works with students ranging in age from 6-20. While Ariella specializes in Economics, she has a strong sense of numbers and also tutors students in math. She has been tutoring with Gooroo since November 2019 and has taught Gooroo Live and Gooroo Courses in STEM topics as a result of her comprehensive liberal arts education.

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