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 1

In this activity you will be creating a dragon using strips of paper. You will be folding the strip of paper as many times as possible following a particular pattern. You will be filling out a chart as you go along as well and answer the questions that follow.

Materials/Resources:

Paper strips, chart, calculator

Directions/Procedure

1: Start with a strip of paper (one segment). Using a marker, place a dot in the left corner. Keep the dot facing down in left hand for each stage.

image 11.07.01.07

2: Fold the strip of paper in half. Unfold and form a right angle with the crease. Record how many equal segments were created and how many creases(folds) were made on chart.

image 11.07.01.08

3: Refold the segment so it is in ½ again. Now fold in ½ a second time. Unfold and form right angles at the creases. Record the number of segments and creases on chart.

image 11.07.01.09

4 and 5: Repeat the steps in 2. Record segments and creases on chart.

image 11.07.01.10

Fill out the chart as you create your paper dragon and then answer the questions using the data gathered.

image 11.07.01.11

1. Going down the column of segments, what pattern do you notice? Fill in the rest of the column.

2. Going down the column of creases, what pattern do you notice? Fill in the rest of the column.

Challenge Questions:

1. What equation can be used to find the number of segments for 25 folds? How many segments will there be?

2. What equation can be used to find the number of creases for 15 folds? How many creases will there be?

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