11Feb
2020
0

Fantastic Fibonacci

In year 6 we have been looking at algebra and different number sequences. In particular, our children identified the patterns involved in the Fibonacci sequence.

The Fibonacci Sequence is the series of numbers:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …

The next number is found by adding up the two numbers before it.

  • The 2 is found by adding the two numbers before it (1+1)
  • The 3 is found by adding the two numbers before it (1+2),
  • And the 5 is (2+3),
  • and so on!

It is that simple!

Here is a longer list:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, …

Can you figure out the next few sequences? Look below to see how the Fibonacci sequence applies to other interesting aspects of daily life.

Makes A Spiral

When we make squares with those numbers, we get a nice spiral:

Fibonacci Spiral

Do you see how the squares fit neatly together?
For example 5 and 8 make 13, 8 and 13 make 21, and so on.

sunflower

This spiral is even found in nature!