Organs and Artificial Organs

CONTENTS OF CURRICULUM UNIT 11.07.01

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Objectives
  4. Strategies
  5. Activity 1
  6. Activity 2
  7. Activity 3
  8. Works Cited:
  9. Appendix A: Useful Websites
  10. Appendix B: Links to beautiful examples of fractals you can explore
  11. Appendix C: Implementing NCTM Geometry Standards

Symmetry and Fractals in the Lungs

Shamsu Abdul-Aziz

Published September 2011

Tools for this Unit:

Activity 3

In this activity you will be creating Sierpinski's carpet using a 2cm x 2cm grid paper. You will make observations that compares the Sierpinski's carpet to the triangle.

Materials/Resources:

2cm x 2cm grid paper, rulers, markers

Directions:

1: Using the grid paper, draw a square with sides measuring 18 cm.

2: Divide the 18cm x 18cm square into nine smaller squares. Shade in the center square.

3: Divide each 6cm x 6cm square into nine smaller squares. Shade in the centers.

4: Divide each 2cm x 2cm square into nine smaller squares. Shade in the centers.

image 11.07.01.12

Answer the following questions:

1. Comparing this to the Sierpinski's triangle what do you notice?

2. Is there any similarities?

3. What about their dimensions? Are they the same?

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