Unrolling Circles in GSP ☆

From my own experiences, students often struggle to understand what circumference means as a measurement. (Such difficulties are also reiterated on student’s performance on standardized test questions.) In order to help their conceptualization, I created a GSP document that allows students to roll and unroll a circle, keeping visual track of its length. The aim is to help students conceptualize how curves can be measured with linear (straight) units, as well as to understand, for example, how circumference is a different measurement than the diameter.

(password: mathematicalmusings)

Download GSP file

Building on this idea, another similar GSP document could be used to develop a functional perspective on the measurement of circumference (in relation to its diameter) as well.

(password: mathematicalmusings)

Download GSP file