Summary: A teacher's guide to additional topics on radicals.

Yeah, it’s sort of a grab bag—a miscellaneous compilation of word problems, review from yesterday, and so on. You can just get them started working on the assignment after you’re done going over yesterday’s homework.

Toward the end, however, they are going to start running into trouble. This is when you introduce rationalizing the denominator. You may want to bring the whole class together to see who can figure out how to rationalize

But please be very careful here, because this particular topic has a very subtle danger. A lot of teachers communicate the idea that denominators should always be rationalized, “just because”—because I said so, or because somehow

What I’m trying to do with this exercise is demonstrate a real practical benefit of rationalizing the denominator, which is that it helps you add and subtract fractions. It’s difficult or impossible to come up with a common denominator without doing this first!

And of course, we have the “you never understand a function until you’ve graphed it” question. Talk a bit about the graph after they get it. They should be able to see that the domain and range are both

“Homework: A Bunch of Other Stuff About Radicals”

Comments:"This is the "teacher's guide" book in Kenny Felder's "Advanced Algebra II" series. This text was created with a focus on 'doing' and 'understanding' algebra concepts rather than simply hearing […]"