Measures of Circles
Explore relationships between the parts of a circle in order to discover the formulas for finding the circumference and area of circles.
If you're going on a ten mile bike ride, which bike would you choose? Why?
Have students revisit the Hook in the beginning of the ARC and ask students to reassess their answer. "Now that you have learned about the parts of a circle, and circumference and area of circles, would you change your answer? Why or why not? What is your mathematical justification for the bike you have chosen?"
How does understanding the relationship between the parts of a circle lead you to discovering the formulas for finding the circumference and area of a circle?
diameter, radius, circumference, pi, circle, area
CCSS, Content Standards to Domain Level
CCSS, Standards for Mathematical Practices
Original Sources: Illuminations Unit, Apple Pi
Original Author(s): Christopher Johnston
New Editors: Katelyn Albright, Suzanne Alejandre, Amber Condella, Cindy Hasselbring, Reba Hekker, Derek Pipkorn, Jennifer Plumb, AnnMarie Varlotta