This worksheet (and accompanying key) shows two methods of calculating the geometric mean given two extremes, and calculating the missing extreme given the geometric mean and a known extreme. There are visual organizers for the visual learners as well as written directions for the more language oriented learners. There is also a geometric explanation of the geometric mean (with right triangles).
There are 3 pages of notes, and 4 pages of problems. There are 24 problems, each of one of two types of problems: 1. Find the geometric mean of # and #, or 2. The Geometric Mean of # and x is #, what is x?
I have found that teaching both methods really helps. Some students have chosen to do one kind of problem with one method and the other kind of problem with the other method. This is not what I intended at first, but it works for them and that is what matters. I always learn a lot from my students!