Objective: Use varied protractors to distinguish angle measure from length measurement.
Through experimentation with circles of various sizes and angles constructed to varying specifications in Lesson 6, students discover that, although the size of a circle may change, an angle spans an arc, which represents a constant fraction of the circumference. This reasoning forms the basis for the understanding that degree measure is not a measure of length. For example, as shown to the right, the 45° angle spans 1/8 of the circumference of the circle, whether choosing the small or large circle.
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