This is another post in a series I’m doing on math in the real world.
The growth of trees is actually a fairly mathematical process that at least involves fractal theory, graph theory, and topology. You can actually generate very realistic looking trees using a computer. See the video below for an example of simulated tree growth.
Here’s an idea. Take your kids outside and find some trees (even bushes or ferns will do in a pinch). Explore (and catalog) what rules different trees seem to follow as they branch. See if you can follow those same rules with pencil and paper to produce tree-like drawings. For bonus points, take some pictures of some younger trees, and use your rules to predict where the next branches will start, then follow up in a year to see if you were right.