Curated OER
The Golden Students
Scholars view the video, "Donald Duck in Mathmagic Land," and discuss examples in nature which have proportions of the golden ratio. They measure and record different body lengths from a worksheet and convert the ratios to equivalent...
Teach Engineering
Discovering Phi: The Golden Ratio
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios...
Curated OER
The Golden Ratio
Seventh graders investigate a ratio found in nature and in numerous pieces of artwork throughout history. The lesson is cross-curricular and builds a sense of appreciation of design for students.
Texas Instruments
Golden Ratio Lab
Learners investigate the Golden Ratio in this algebra I or geometry lesson. They explore the Golden Ratio as the conduct an experiment in which they collect various measurement from their team members and find the regression equations...
Curated OER
Class of Gold
How can you see a number in nature? Here, learners discover both Fibonacci numbers and the golden ratio by exploring a number of different resources. Note: Some of the resources are older and may be missing some of the links, but...
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...
Dick Blick Art Materials
Start with a Circle...
The Golden Ratio. The Divine Proportion. Yup. It's math and art blended into one colorful activity. Young artists combine colored tissue paper circles and parts of circles to create geometric patterns. As a bonus, kids get to figure out...
Curated OER
Golden Ratio of the Human Body
Students calculate the ratio of the height of the body to the height of the navel. They discover that the ratios are all approximately equal.
Curated OER
Robot Ratios
Students measure the activity and parts of a robot. In this algebra lesson, students explore ratio and proportion using their classroom. They apply properties of fractions as they cross multiply to solve problems.
Curated OER
Ratio Relationships
Students solve for the different ratio and proportion of a problem. In this geometry lesson plan, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.
Curated OER
Leonardo of Pisa and the Golden Rectangle
Students investigate geometry and algebra and the history behind these two interesting subjects. In this algebra lesson, students analyze the Fibonacci Sequence and relate it to solving exponential equations. There are alot of links and...
Curated OER
Amazing Fibonacci
Students integrate the patterns of Fibonacci into music. In this geometry lesson, students apply the concepts of recursion, pattern and Phi or Golden Ratio to composing and playing music on various instruments. They lesson is co-taught...
Curated OER
Exploring the Golden Rectangle
Young scholars will construct a golden section and a golden rectangle and study their characteristics and connections with the Fibonacci series. They import pictures from the internet and download them into the Sketchpad. Using their...
Curated OER
Least Squares Fit Line
Students estimate the least squares fit line for a set of data. They understand error involved in least square fit lines. They solve application problems using least square fit lines.
Curated OER
Proportionality: Modeling the Future
Students explore and examine how patterns, measurement, ratios and proportions are utilized in the research development and production of airplanes. They meet a pilot from the Federal Aviation Association who describes the growth of air...
Curated OER
The Overlooked Regular Pentagon
Tenth graders discuss the history of geometry as it relates to pentagons. In this geometry lesson plan, 10th graders solve problems of a pentagon inscribed inside of a circle using ratio. They review other properties for shapes of...
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.
Teach Engineering
The Fibonacci Sequence and Robots
What better way to introduce the idea of a sequence than with robots! An educational lesson explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the lesson challenges individuals to...
Curated OER
Least Squares Fit Line
Practice makes perfect! Learners estimate the least squares fit line for a set of data. They understand error involved in least squares fit lines, and solve application problems using least square fit lines.
Curated OER
The Renaissance Lesson Plans
The Renaissance, Michaelangelo, DaVinci and the Divine Proportion offer Many Exciting Teaching Opportunities
Curated OER
Modeling pentagrams using Geometers Sketchpad
Learners using visual modeling software will construct two regular pentagrams which are mathematically similar. They also create a multi-page document and learn to create links between the pages and to a website on the History of...
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: 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...
University of Chicago
University of Chicago: The Golden Ratio Activities
Many activities for the classroom involving the golden ratio.