I started doing some math every day at the beginning of this year. I wanted to be working alongside the boys, and I thought it would help me understand their reality better if I was doing the same sort of work that they are. Plus, I’ll be their primary mathematics instructor as they progress, and it will be helpful if I go through a refresher on algebra and the like myself. Not to mention that my own math education stalled out after a basic trigonometry course in high school, and I thought it might be fun to pick up where I left off and see how far I could go!
I have been zipping right along, doing as many as four or five lessons per day. I was getting caught up to the point where I left off all those many years ago, refreshing my memory along the way. I had forgotten all the formulas for computing volume and surface area and the like, as well as concepts like the exponent “power rule”, etc. But picking that sort of thing back up has been pretty easy.
However, I finally hit a significant speed bump in the form of simplifying, adding, and multiplying rational expressions. For those who, like me, have largely forgotten 9th-grade mathematics, a rational expression, and the process of simplifying it, is pictured above.