Activity Detail
If you are using a TI-73, TI-83, TI-84 or TI-89, there may be particular math or science applications you will need to download to use certain activities. If you are using TI-Nspire technology, please update your TI-Nspire handheld operating system or computer software to view the latest activities. The latest TI-Nspire operating system was released in June 2009.
Browse by Subject Submit Activity Saved Activities Advanced Search
  


add to saved activities



print this activity
 
Class of Gold
 


Activity Overview

Students investigate Fibonacci numbers and the ratios of successive Fibonacci numbers.

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print pages 47 - 53 from the attached PDF file for your class

    		•

    		During the Activity

    		Distribute the pages to the class.

    Follow the Activity procedures:
  • Enter the first 20 numbers of the Fibonacci series in a column
  • In a second column enter the 2nd to 21st number of the Fibonacci series
  • Divide numbers in the second column by numbers in the first column to get a ratio of successive Fibonacci numbers as decimals rounded to the nearest thousandth
  • Enter values of the ratio in a third column
  • Notice that the ratio tends to point toward the value of the Golden Ratio of 1.618
  • Measure and record the height and navel height of each student as lists
  • Calculate the ratio of height to navel height
  • Find the mean average of the ratios
  • Create a scatter plot of navel height versus height, and use the manual-fit option to draw a line that passes through most points plotted
  • Use the mean average to find the approximated equation of the line
  • Convert the measurements from centimeters to inches and observe the ratio of height to navel height


    		After the Activity

    		Students will complete the Worksheet and analyze the results.

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

    		Other Downloads




    view standards alignment
    view textbook alignment

    Subject Area:
    Math : Algebra I : Sequences and Series

    Author:
    Texas Instruments

    Level:
    5-8

    Activity Time:
    60 Minutes

    Device:
    TI-73 Explorer™

    Apps:
     

    Software:
     

    Accessories:
     

    Other:
    This is Activity 6 from the EXPLORATIONS Book:
    Discovering Mathematics with the TI-73: Activities for Grades 7 And 8

    The following materials are required for this activity:

  • Meter stick
  • Transparency


    • Report an issue with this activity