Curated OER
Turk-o-nacci Sequence
In this sequence worksheet, learners use the Fibonacci sequence to determine the number of turkeys in a flock. This one-page worksheet contains 1 multi-step problem. The answer is provided at the bottom of the page.
Curated OER
Symmetry: Theory, Reality and Art!
Students explore the concept of geometric symmetry. In this geometric symmetry lesson, students walk around their school and take pictures of objects that demonstrate symmetry. Students use Microsoft Paint to draw the lines of symmetry...
Curated OER
Minerals
Students explore the concept of minerals. In this minerals lesson, students discuss how cooling affects the size of crystals. Students discuss how the structure of minerals is a tetrahedron. Students discuss the structure of silicates...
Curated OER
Perfection on Ice!: Math, Geometry, Fibonacci Numbers, Olympics
Students use the human body as a foundation for gaining practice in measuring angles and calculating ratios and proportions.
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...
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.
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,...
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?
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,...
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...
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.
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...
University of Chicago
University of Chicago: The Golden Ratio Activities
Many activities for the classroom involving 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.
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.
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.
Shmoop University
Shmoop: Ratios & Percentages: The Golden Ratio
The mathematics resource investigates 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...
Calculator Soup
Calculator Soup: Golden Ratio Calculator
Use this calculator to find values that satisfy the golden ratio where (A+B):A = A:B. Enter any ratio term to calculate the missing golden ratio values. The answer also includes two additional, equivalent sets of golden ratio terms based...
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.
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.
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.
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.
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.