Phi Day (3)--Spirals

Grade Levels
Resource Types
Product Rating
3.9
File Type
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
1.08 MB   |   8 pages

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
Answer Key
Included
Teaching Duration
1 hour

Average Ratings

4.0
Overall Quality:
3.8
Accuracy:
3.8
Practicality:
3.8
Thoroughness:
4.0
Creativity:
4.0
Clarity:
3.9
Total:
3 ratings
COMMENTS AND RATINGS:
Please log in to post a question.
PRODUCT QUESTIONS AND ANSWERS:
$3.50
Digital Download
ADD ONE TO CART
User Rating: 4.0/4.0
 (14 Followers)
$3.50
Digital Download
ADD ONE TO CART
Phi Day (3)--Spirals
Phi Day (3)--Spirals
Phi Day (3)--Spirals
Phi Day (3)--Spirals
Teachers Pay Teachers

Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials.

Learn More

Keep in Touch!

Sign up