The beat conveyed a sense of energy that related to the way each image morphed from one image into another. The repetition of musical phrases helped me to expect what was coming. How did the music relate to the images they saw in the video? What do the subjects, images and sounds have in common? Is there a common thread between geometry, seashells, sunflowers, sounds, etc.? Could Phi or the Golden Ratio be the source of the beauty? If the Golden Ratio is a fundamental building block of beauty that exists in nature, can understanding and applying this ratio to human endeavors enable us to create something of beauty? Where else might you find evidence of the Fibonacci sequence of numbers? (Point out that there are many more instances of this ratio in our natural and human made world, i.e., the lengths of the bones in our fingers, the proportion of the human face, the shape of the human ear, musical instruments such as the violin, guitar, piano, famous works of music and art) Hubble Views Stellar Genesis in the Southern Pinwheel Display the following photos and ask students to think about how art and nature connect to the videos they watched:Ĭeiling of Lotfollah Mosque in Isfahan, Iran Engage the class in a discussion about the videos, sharing what they noticed about the rhythm, tones, and musical phrases.Show student Fibonacci Konnakol to see how the sequence is done with body percussion. Ask the class to pay particular attention to the music, listening for beat, rhythm, repeating musical phrases, and tones. Ask: What do pianos and Phi have in common? Allow time for several student responses. Play the video Piano Piece Based on the Fibonacci Sequence.Modify handouts, text, and utilize assistive technologies as needed. Basic aural skills for evaluating compositions. Proficiency in the piano keyboard and music notation (reading and writing) is necessary. Students should be aware of the math concept of Phi, which is the same as the Golden Ratio. Patterns Across Cultures is also a lesson that explores the Fibonacci sequence in nature and art and can be taught as a visual arts lesson. Analyze sheet music for patterns or ratios that reflect the Fibonacci sequence of numbers. They should have an understanding of piano keys and basic music notation, melodies, and harmonies. Teachers should be familiar with the Fibonacci sequence, Phi, and the Golden Ratio. Hubble Views Stellar Genesis in the Southern Pinwheel.Ceiling of Lotfollah Mosque in Isfahan, Iran. Frédéric Chopin - Prelude in C Major, Op.Béla Bartók - Music for Strings, Percussion and Celesta, III.Piano Piece Based on the Fibonacci Sequence.Béla Bartók Excerpt With Fibonacci Annotations.Check out Sharing Tips or Instructional Benefits when implementing Google Docs and Google Slides with students. Recommended Student MaterialsĮditable Documents : Before sharing these resources with students, you must first save them to your Google account by opening them, and selecting “Make a copy” from the File menu. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1. A.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.
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