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In this two-lesson unit, students discover the circumference and area formulas based on their own investigations. After measuring the circumference and diameter of several circular objects, they calculate the ratio of circumference to diameter for each object in an attempt to identify the value of pi and the circumference formula. In the following lesson, they use a circle that has been divided into congruent sectors and discover the area formula by using their knowledge of parallelograms. Online links allow students to investigate the history of circle measurement and solve problems using it. All handouts, extensions, and assessment options are included.
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