I wrote this worksheet for my Algebra 1 students so they could begin to work with radical expressions. At this point in time, they had already seen how to simplify a single radical, such as the square root of 20. On this worksheet, however, students applied properties such as what to do with a product of two square roots, or what to do with a quotient.
Instead of giving them a long lecture with multiple examples, I started off the block with a mini-lesson (about 10 minutes long), in which I showed them two quick examples of what they'd be doing today.
After the mini-lesson, I handed out one copy per student, and had them get to work in cooperative groups. Because there are examples of how to do each type, students could refer to the examples, although they often got stuck on other details (many of them would 'add like terms,' so to speak, instead of multiplying or dividing factors appropriately.
I use this activity within cooperative groups, and I circulate to make sure they are getting the purpose of the questions.
The file includes spiral review problems.
For this worksheet, I expect students to show their work on a separate sheet of paper.
Please download the pdf preview file first, so you can see exactly what's included; the product file is a word document, which you may personalize for your students.