Lesson Plan

# World's Largest Sierpinski Triangle

Victor Donnay

Department of Mathematics

Bryn Mawr College

## Goal

To foster group spirit throughout the school by having students from
all class cooperate to build the world's largest Sierpinski triangle.
Have the students make a colored Sierpinski triangle as we did. Then take
three triangles and paste (glue or tape) them together to make a larger
triangle. Take three of these larger triangles and paste them together.
Repeat. In this way, combine all the triangles made by
the students in the class into one large triangle. Have several classes
(all the classes in the school!) do this. Then take the huge triangles from
each class and combine them.

## Enrichment Exercise

Have several schools do this project. Then have the
schools meet at some large park and combine their triangles into one super
huge triangle. Perhaps have all the schools in the Philadelphia school
district involved. Think REALLY BIG! Get an aerial photograph of the
resulting triangle with all the students standing around it.
Teach the students the Sierpinski triangle song:

**
Take each triangle**

split it into 4

throw away the middle one

and keep the other 3.