The Golden ratio
by
jim flatley, archbishop Shaw high school
Sister Vi Tran, MARIAN CENTRAL CATHOLIC MIDDLE SCHOOL
Summary / Introduction / Objectives / Activities / Assessment / References / Teacher Guide
Grade 8 - Mathematics and Art / 1 Class Period / Individual Activity
SUMMARY
This module presents a brief introduction to the Golden Ratio or the Golden Mean, the Fibonacci sequence, and their occurences in many varied disciplines, from art works to mathematical relationships to specimans from nature.
INTRODUCTION
Background (Mathematical) : If AB is a line segment and C is a point on AB such that AC:AB as CB:AC, the ratio is 1:1.61803...(an irrational number). This number is known as the Golden Ratio. A rectangle whose length and width are in the ratio of the Golden Ratio is called a Golden Rectangle.
The reason for this module is to give students the opportunity to see how math relationships can be found in many different areas.
OBJECTIVES
Students will understand the concept of the Golden Ratio.
Students will use Microsoft Word and its drawing tools to construct a Golden Rectangle.
Students will see and appreciate examples of the Golden Ratio found in art, architecture, and nature.
Students will learn about the Fibonacci sequence and its relationship to the Golden Ratio.
Students will use the Internet to view related sites and to do research.
Click here for STUDENT ACTIVITY
Click here for REFERENCES
Click here for additional exercises to print out for student use: 1 2 3
Teacher Guide - ANSWER SHEET for additional exercises
December 11, 1999