Activity Detail

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Golden Rectangles
 


Activity Overview

Students measure rectangles and calculate ratio between the sides. They compare the ratio to the Golden Ratio (1.618).

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print pages 73 - 79 from the attached PDF file for your class


  • During the Activity

    Distribute the pages to the class.

    Follow the activity procedures:

  • Calculate the ratio of the height to the arm span, and compare it with the Golden Ratio [1.618]
  • Find the ratios of other body parts, and decide which one is closer to the Golden Ratio


  • Identify and measure some rectangles and rectangular objects like envelopes and playing cards
  • Calculate the ratio between the long side and the short side of each rectangle
  • Identify the rectangles whose ratio is closest to the Golden Ratio


    After the Activity

    Students collect more information on the Golden Ratio and Fibonacci Series. They study art, architecture, and nature for these numbers.

  • 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 : Middle Grades Math : Geometry
    Math : Middle Grades Math : Measurement
    Math : PreAlgebra : Measurement
    Math : PreAlgebra : Geometry
    Math : Middle Grades Math : Problem Solving

    Author:
    Texas Instruments

    Level:
    5-8

    Activity Time:
    60 Minutes

    Device:
    TI-15 Explorer™

    Apps:
     

    Software:
     

    Accessories:
     

    Other:
    This is Activity 11 from the EXPLORATIONS Book:
    Developing Problem-Solving Skills with the TI-15

    The following materials are required for this activity:

  • Envelopes (Legal and Letter size)
  • Playing cards
  • Chart paper
  • Pens
  • Metric rulers
  • Meter sticks


  • Report an issue with this activity