| Teacher: | So, the relationship, and here it's between... |
| Student : | Radius and height. |
| Teacher: | Radius and height, so you can see the relationship here, right, which is what? |
| Teacher: | Ben, what's the relationship here? |
| Student1: | The relationship between height and... between the radius and the height. |
| Teacher: | What is the relationship? |
| Teacher: | Well, we said you made a graph to show the relationship, |
| Teacher: | so everyone should be able to tell us the relationship. Stu2? |
| Student2: | As the radius increases, the height decreases. |
| Teacher: | As the radius increases, the height decreases. |
| Teacher: | So by now, you should know that that is correct, but not enough information, |
| Teacher: | because that could mean it's linear, right? So, if you say as the radius increases |
| Teacher: | the height decreases, that could be linear, and we know that this isn't linear. |
| Teacher: | So, how could you give more information for that? Stu3? |
| Student3: | It's an inverse relationship. |
| Teacher: | It's not an inverse relationship, necessarily. Okay? |
| Teacher: | You need some more information to make it inverse. It might be inverse. |
| Teacher: | What can you say by looking at that? As the radius increases, |
| Teacher: | how do you know its not linear? Stu4? |
| Student4: | Because when the radius increases, it increases by a constant rate, |
| Student4: | and when the height decreases, it doesn't decrease by a constant rate. |
| Teacher: | Okay, a little more information. |
| Teacher: | I'm still not getting a really good description of this graph. Stu5? |
| Student5: | Well, I don't know how to explain this, but it goes down faster in the beginning, |
| Student5: | then it levels off. |
| Teacher: | Okay, so as the radius increases, the height... |
| Student5: | Decreases. |
| Teacher: | Decreases how, Stu5? You said it beautifully. |
| Student5: | Faster in the beginning, then it levels off at the end. |
| Teacher: | Exactly. Now, because they chose a scale that only went up to six, |
| Teacher: | what are you limited as far as using this graph? |
| Teacher: | And I think Stu3 referred to it earlier. How does this limit you |
| Teacher: | since the radius only goes up to six? Stu6? |
| Student6: | You can't see how it continues on? |
| Teacher: | Exactly. If you only go up to the limit that you have, you can't really see any more. |
| Teacher: | And so you might want to go a little beyond where you're assigned, so you can check it out. |