In Math, we are exploring patterns. We have studied increasing, decreasing, and repeating patterns. We are working on solving problems using tables/T-charts. Yesterday, we took a glimpse into patterns in nature by exploring the Fibonacci sequence.
The Fibonacci sequence is: 1, 1, 2, 3, 5, 8, 13... You can extend the pattern by adding the last two numbers. For example, 8 + 13 = 21 so the next number in the sequence is 21. . Some examples of where you see the Fibonacci sequence in nature are pinecones, flower petals, seeds, leaf arrangement on a plant, shells, pineapples, artichokes, etc.
We watched a video of ways to doodle using the Fibonacci sequence (click here to watch). Here are some examples of our doodles:
Today, we watched a video on Patterns in Music (click here to watch). It shows us how the Fibonacci sequence relates to the Golden Rectangle, Golden Ratio, and Phi. They found Fibonacci numbers (the ratio) in so many songs...the climax of the song was the number Phi,
There was even a specific musician who used the actual Fibonacci numbers to go up by and down by (whole notes/half notes/quarter notes/eighth notes/sixteenth notes..)