University of Georgia
University of Georgia: Phi: The Golden Number
The University of Georgia page provides an extensive look at the golden number Phi by exploring it in numerous ways. The author also discusses its relevance to golden rectangles and the golden ratio.
Wolfram Research
Wolfram Math World: Golden Rectangle
This site contains the definition for the term "Golden Rectangle," complete with detailed pictures, charts, and explanations.
National Council of Teachers of Mathematics
The Math Forum: Investigating the Golden Ratio
This site gives a diagram of a golden rectangle, the value for the golden ratio, and a few problems for students to work relating to the golden ratio. This site does not however explain the significance of this ratio.
Texas Instruments
Texas Instruments: Golden Rectangles
In this activity, students measure rectangles and calculate ratio between the sides. They compare the ratio to the Golden Ratio.
Texas Instruments
Texas Instruments: Numb3 Rs: It All Started With a Pair of Rabbits
Based off of the hit television show NUMB3RS, this lesson introduces students to the set of Fibonacci numbers and shows how this set is present in many aspects of nature. Through the lesson, students explore the first 13 elements in the...
Texas Instruments
Texas Instruments: Golden Ratio
In this activity students will measure various body parts looking for the golden ratio. The teacher will collect the various measurements from the calculators and send an augmented list to the students calculators. Students will then...
Texas Instruments
Texas Instruments: The Golden Ratio
The students will engage in a hands on activity to determine how they fit into the golden ratio which is considered the mathematically perfect ratio. Is it necessary or important to relate to this number?
Math Is Fun
Math Is Fun: Golden Ratio
A clear explanation, with drawings and examples, of the golden ratio. The examples demonstrate the beauty of mathematics, such as how two Fibonacci numbers can approximate the golden ratio, and why the golden ratio can be called the...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: El Numero Aureo
Discover the golden ration in everyday life and in the art with this interactive activity.
Math Is Fun
Math Is Fun: Nature, the Golden Ratio, and Fibonacci, Too
Looks at how spirals form in nature when cells reproduce in a flower, for example. An interactive lets students try entering different values to see if they can make a spiral pattern with no gaps. The correct figure would be the Golden...
Other
Mathman: The Fibonacci Numbers, Pineapples, Sunflowers, and the Golden Mean
Here is an exercise to do using a pineapple to explore Fibonacci numbers. Then find the ratios of larger to smaller of each consecutive pair of Fibonacci numbers and graph them to find out the sequence.
Other
P.u.e.m.a.c.: Que Es La Razon Aurea?
Find out how to calculate the Golden Ratio in this exercise.
National Council of Teachers of Mathematics
The Math Forum: Golden Ratio, Fibonacci Sequence Faq
This site contains questions and answers regarding the Golden Ration and how the Fibonacci numbers relate to the ratio of lengths of golden rectangles. Related links are available at the end of the site.
Science Struck
Science Struck: 13 Real Life Examples of the Golden Ratio
Explains what the golden ratio is and its relationship to the Fibonacci sequence. Gives interesting examples of the golden ratio in plants, seashells, astronomy, weather, the human body, insects, DNA, and animals.
Discovery Education
Discovery Education: Numbers in Nature
This Fibonacci sequence lesson plan is aimed at grades 9-12, but would be appropriate for some junior high classes. It includes historical background and examples of Fibonacci numbers in nature, as well as suggested readings and ties to...
Rice University
Rice University: Cynthia Lanius: Geometry Online
This is a site for geometry lovers. Chock-full of puzzles, games, interesting geometry facts, and online activities.
Rice University
Rice University: Cynthia Lanius: Golden Ratio
This site introduces students to the definition of golden ratio. It gives them a chance to estimate ratios and predict which figures are closest to the golden ratio. There is a link on this page that provides charts for students to...
Rice University
Rice University: Cynthia Lanius: Golden Rectangles All Around
This site is a lab sheet that students can use to explore the golden ratio. It also has other informative links on it.
Mathigon
Mathigon: Algebra: Fibonacci Numbers
This lesson focuses on Fibonacci numbers, a pattern based on the sum of the two previous numbers. It offers examples and practice exercises using some form of Fibonacci numbers.
Cuemath
Cuemath: Irrational Numbers
Learn how to identify irrational numbers. This lesson reviews the irrational number list, the difference between irrational and rational numbers, and whether or not irrational numbers are real numbers. Examples are provided along with a...
Mathigon
Mathigon: Alice in Fractal Land
When Alice falls down the rabbit hole, she discovers a wonderful world of mathematics: Pascal's triangle, sequences of rabbit generations, and beautiful, never-ending fractals.
University of Chicago
University of Chicago: The Golden Ratio Activities
Many activities for the classroom involving the golden ratio.
ClassFlow
Class Flow: The Golden Ratio Scattered Plots
[Free Registration/Login Required] This lesson is a discovery lesson where the students have to create a scattered plot and find a linear correlation that approximates the golden ratio.
Shmoop University
Shmoop: Ratios & Percentages: The Golden Ratio
The mathematics resource investigates the golden ratio.