Apple Pi

  • Apple Pi

    Grade: 6th to 8th
    Author: Christopher Johnston

    Using estimation and measurement skills, students will determine the ratio of circumference to diameter and explore the meaning of \pi . Students will discover the circumference and area formulas based on their investigations.

    Math Content 

    Students will:

    • Discover the ratio and meaning of π. 
    • Discover the formula for finding the circumference of circles.
    • Discover the formula for finding the area of circles.

     

    Lessons

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    The Ratio of Circumference to Diameter

    Grade: 6th to 8th

    Calculate the ratio of circumference to diameter for each object in an attempt to identify the value of pi and the circumference formula.
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    Discovering the Area Formula for Circles

    Grade: 6th to 8th

    Discover the area formula by using your knowledge of parallelograms.

    Objectives and Standards

    NCTM Standards and Expectations
    • Apply geometric concepts in modeling situations
    • 6-8
    • Measurement