Activity Detail

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Follow the Golden Rule
 


Activity Overview

Students find ratios and calculate measures of central tendency for sets of data. They understand the concept of the Golden Ratio. They use box-and-whisker plots to analyze data.

Before the Activity

  • Set up the calculator for data collection using the procedure described in the attached Appendix PDF file
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 15 - 22 from the attached PDF file for your class


  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:
  • Measure and record the height of a person, the distance from the navel to the floor, and the distance from the head to the navel
  • Enter the data in the calculator using lists
  • Calculate the ratio of height to distance from the navel to the floor
  • Calculate the ratio of distance from the navel to the floor to distance from the head to the navel
  • Repeat the experiment for different people, find the mean ratio, and compare it with the golden ratio
  • Create a box-and-whisker plot of the listed ratios
  • Calculate measures of central tendency for this data
  • Repeat the procedure for different sets of data


    After the Activity

    Students will complete the Data Collection and Analysis page and answer questions listed on it.

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


    Other Downloads




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    Subject Area:
    Math : Statistics : Inferential Statistics

    Author:
    Texas Instruments

    Level:
    5-8

    Activity Time:
    60 Minutes

    Device:
    TI-73 Explorer™

    Apps:
     

    Software:
     

    Accessories:
     

    Other:
    This is Activity 2 from the EXPLORATIONS Book:
    Activities for Algebra with the TI-73.

    The following materials are required for this activity:

  • Metric tape measure (meter stick)


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