Wake Forest University
Authentic Activities for Connecting Mathematics to the Real World
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...
Wolfram Research
Wolfram Math World: Golden Ratio
Math World explains the Golden Ratio, gives the formula for finding the irrational number, and expresses this value as an infinite series. Also defines and represents the Ratio geometrically, its relationship to the Fibonacci numbers,...
TeachEngineering
Teach Engineering: Discovering Phi: The Golden Ratio
Students discover the mathematical constant phi, the golden ratio, through hands-on activities. They measure dimensions of "natural objects"--a star, a nautilus shell and human hand bones--and calculate ratios of the measured values,...
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...
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...
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?
University of Chicago
University of Chicago: The Golden Ratio Activities
Many activities for the classroom involving the golden ratio.
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: Golden Rectangles
In this activity, students measure rectangles and calculate ratio between the sides. They compare the ratio to the Golden Ratio.
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.
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.
Shmoop University
Shmoop: Ratios & Percentages: The Golden Ratio
The mathematics resource investigates the golden ratio.
Texas Instruments
Texas Instruments: Follow the Golden Rule
Students find ratios and calculate measures of central tendency for sets of data. They understand the concept of the Golden Ratio. They use box-and-whisker plots to analyze data.
Jim Loy
Jl's Math Page: The Golden Rectangle and the Golden Ratio
This is a personal site from Jim Loy that describes the golden rectangle and the golden ratio. Includes several diagrams and pictures as well as formulas. A good background in math is helpful.
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.
Wolfram Research
Wolfram Math World: Golden Rectangle
This site contains the definition for the term "Golden Rectangle," complete with detailed pictures, charts, and explanations.
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...
Science Buddies
Science Buddies: The Golden Rules of Photography
What is it that famous photographers do to make their images so pleasing to the eye? Find out if simple rules of geometry and symmetry can make you a better photographer.
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.
Annenberg Foundation
Annenberg Learner: Part C: Fibonacci Numbers
Look at an interesting application of ratios that demonstrates the amazing patterns that emerge when we examine mathematics. The Fibonacci numbers are found in art, music, and nature.
TeachEngineering
Teach Engineering: The Fibonacci Sequence & Robots
Using the LEGO NXT robotics kit, students construct and program robots to illustrate and explore the Fibonacci sequence. Within teams, students are assigned roles: group leader, chassis builder, arm builder, chief programmer, and...
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