Chapter 5: Lessons and Activities
| Activity Name | Activity Description |
|---|---|
| Sierpinski's Triangle | Students step through the generation of Sierpinski's Triangle -- a fractal made from subdividing a triangle into four smaller triangles and cutting the middle one out, allowing them to explore number patterns in sequences and geometric properties of fractals. |
| Sierpinski's Carpet | Students step through the generation of Sierpinski's Carpet -- a fractal made from subdividing a square into nine smaller squares and cutting the middle one out, allowing them to explore number patterns in sequences and geometric properties of fractals. |
| The Tortoise and Hare Race | Students step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence of an infinite sequence of numbers. |
| Cantor's Comb | Students learn about fractions between 0 and 1 by repeatedly deleting portions of a line segment, also learning about properties of fractal objects. Parameter: fraction of the segment to be deleted each time. |
| Lesson Name | Lesson Description |
|---|---|
| Fraction Facts | Introduces students to fractions and explores basic mathematical operations with fractions, comparing fractions, and converting fractions into decimals or percents. |
| Introduction to Fractals: Infinity, Self-Similarity and Recursion | Introduces the ideas and motivates the activities |
| Geometric Fractals | Outlines the approach to building fractals by cutting out portions of plane figures |
| Irregular Fractals | Looks at how irregular fractals can be generated and how they fit into computer graphics |
