You've heard of geometry, right? You know all about tessellations, correct? You know about fractals, uh-huh. And you know about puzzles? Sho' 'nuff! This is a set of hands-on puzzle activities that combine all three.
Rep-Tiles, aka "repeating tiles," are a special kind of tessellation known as a "fractal" where the pieces can be assembled to make dilated duplicates (that's larger versions) of the original tile. Now you can already do this with squares and equilateral triangles, which are known as "boring rep-tiles." In this packet I have 7 different "interesting" rep-tiles that you can cut out and challenge your students.
The challenges come in two forms: one set of challenges has the final outline of the rep-tile: just cut out the smaller ones and your students can work on making the larger ones. You can also cut out four of the larger ones and assemble them to make an even larger duplicate that has 4 times the area. FUN!
Full documentation as well as a story about my dinner with Benoit Mandelbrot, one of the inventors of fractal geometry!