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Using estimation and measurement skills, students will determine the ratio of circumference to diameter and explore the meaning of
. Students will discover the circumference and area formulas based on their investigations.
The Greek mathematician Archimedes approximated pi by inscribing and circumscribing polygons about a circle and calculating their perimeters. Similarly, the value of pi can be approximated by calculating the areas of inscribed and circumscribed polygons. This activity allows for the investigation and comparison of both methods.
The goal of this task is to study the circumferences of different sized circles, both using manipulatives and from the point of view of scaling.
Irrational Numbers on the Number Line
When students plot irrational numbers on the number line, it helps reinforce the idea that they fit into a number system that includes the more familiar integer and rational numbers.
Comparing Rational and Irrational Numbers
This task can be used to either build or assess initial understandings related to rational approximations of irrational numbers.
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