Activity Detail

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Predicting π
 


Activity Overview

Students explore the use of linear measurement and calculators to discover the existence of π, the constant ratio between the circumference and the diameter of a circle.

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print student activity sheet page 102 from the attached PDF file for your class


  • During the Activity

    Distribute the page to the class.

    Follow the activity procedures:
  • Identify several circular objects in the classroom, on the school grounds, or at home
  • Select a tool to measure the circumference and diameter of each circle, and record these measurements on the recording sheet
  • Use a compass to draw several different circles and record their circumferences and diameters on the recording sheet
  • Calculate the ratio between the circumference and diameter of each circle
  • Look for patterns in the data and make conjectures about why the patterns might exist
  • Discover the existence of π, the constant ratio between the circumference and the diameter of a circle


    After the Activity

  • Review student results
  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary


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    Subject Area:
    Math : Elementary Math : Geometry
    Math : PreAlgebra : Geometry
    Math : Middle Grades Math : Geometry

    Author:
    Texas Instruments

    Level:
    5-8, K-4

    Activity Time:
    60 Minutes

    Device:
    TI-10, TI-15 Explorer™

    Apps:
     

    Software:
     

    Accessories:
     

    Other:
    This is Activity 21 from the EXPLORATIONS Book:
    Uncovering Math with Manipulatives, the TI-10, and the TI-15 Explorer

    The following materials are required for this activity:

  • Ruler, string or measuring tape, and meter stick
  • Pencils
  • String and caliper


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