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  • Subject Area

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

  • Author

    Texas Instruments

  • Level


  • Activity Time

    60 Minutes

  • Device
    • TI-15 Explorer™
  • Other Materials
      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
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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