> Out of all the software available, I find Green Globs to be one on my >favorites. I like to use it to allow my kids to discover characteristics >of equations. For example, I would have my kids graph a linear equation >like y = 2x. Then I would have them do y = 2x + 3, y = 2x + 5, and y = 2x >-2. What patterns do they observe???
Excellent! Now generalize: Given y = x^2 , what do you observe in y = x^2 + 1 and y = x^2 - 3 . Now abstract: Given y = f(x) , what can you say about y = f(x) + c ?