Today, using several different Interactivate apps, students in Math Explorations were able to explore the idea of fractals and mathematical patterns. Beginning with the Hilbert Curve generator, Jenny showed how mathematical patterns can appear starting from a single line. Through guided trial and error, the class discovered that patterns could take on many different and fascinating forms when plotted inside the Cartesian plane as well. The students found out that, by changing variables concerning initial lines for fractals, Julia Sets, and Mandelbrot sets, they could generate amazing pictures with intricately detailed designs throughout the pattern. Using the Mandelbrot Set application, the class had a contest to see who could find the most intricate design hidden inside their fractal.
The students played with 7 different Interactive apps in total, exploring different means to engineer shapes with fractals, and also had the opportunity to use the master tool called the "fractal microscope" to zoom in closer on fractals with the added ability to take screenshots of their designs. Jenny ended the day by quizzing each student on several keywords and concepts from the day and gave a brief glimpse of what would be covered the next day.