ARadicalSimp by Walter Kissach is a free app that has both an instructional part and a calculator to help students learn to simplify radicals. This app covers both radicals and quadratic equations in detail. Each section comes with a guide which is actually an indepth explanation of the material that is presented in small chunks.
Each sub section has examples and a calculator that breaks down the radical into its exact answer with the radical sign rather than giving a decimal approximation.
I like this because it reinforces the idea of using radicals. Yes, I know people are using decimals more and more but I keep trying to have my students understand that most radicals are irrational and not rational
The calculator shows the actual break down from beginning to end. This is a way of reinforcing the material. I know my students are going to pretty much just copy the answer down but I plan to require them to include a small write up explaining the process. It might look something like this
"124 is 4 times 31. You can take the square root of 4 and it is 2 so it moves outside the radical sign and the answer is 2 times the square root of 31." I hope this makes them slow down and actually look at the material.
The quadratic section gives students a nice explanation and covers just about covers all the basics so it could be used as a way of introducing or building on prior knowledge or used to scaffold a students knowledge. I have four of his free apps and I plan to check them all out. Right now, it looks like much of the material in three overlaps but I'll know more. I did review one of these apps earlier and when I review the next, I'll try to add a link to it and this one.
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