Circles
Instructions
For each of the following problems, consider how you would pose the same problem to your students. Would the wording need to change? Would you need to include more pictures? More detailed pictures? But remember we don't want to do TOO MUCH for the student. If we provide too much information, they will not need to think about what the question is asking.
Consider your problemsolving strategy for each of the following investigations. Is there another strategy that you could use? If so, which strategy would be more appropriate for understanding the concept?
Definition
A circle is the set of all points in a plane that is the same distance from a given point called the center.
The circle is the set of points that lie on the blue curve. The points that lie inside this curve are not part of the circle (this is called a disk). A circle is an example of a closed curve because you can begin at one point on the circle and trace it, ending up where you started without crossing or retracing any part of the circle.
