Total:
\$0.00

# Phi Day (3)--Spirals

Resource Type
Product Rating
3.9
3 ratings
File Type

PDF (Acrobat) Document File

1 MB|8 pages
Share
Product Description
This is the third of the activities designed to help you celebrate Phi Day on November 23rd, so named for the date's relationship to the Fibonacci sequence: 1, 1, 2, 3, ...

This third activity builds on the first two [Phi Day (1)--Golden Rectangles and Phi Day (2)--The Fibonacci Sequence], but this activity works well as a stand-alone, and does NOT require that activity to be completed first.

Like the previous activities, this begins with some basic facts about the number phi.

Students then explore, using images of a pine cone and a sunflower, how the spirals of the scales and the seeds relate to the Fibonacci sequence.

Students then make a Fibonacci spiral by repeatedly making Golden Rectangles. [It may help for them to have seen the earlier activity, but directions provided should allow students to create the rectangles without having done Phi Day (1).] Students then look at Fibonacci spirals that occur in nature.

Finally, the students explore how the Fibonacci sequence can be found in Pascal's Triangle. As a closing activity, the students learn to calculate the individual elements of Pascal's Triangle by using the formula for combinations.
Total Pages
8 pages
Included
Teaching Duration
1 hour
Report this Resource
\$3.50
More products from MathxMath
\$0.00
\$0.00
\$0.00
\$0.00
\$0.00
\$3.50