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.
Curated OER
Using Ratios
Young scholars study the Golden Ratio and its relationship to Renaissance artists. After exploring proportions and ratios used by Renaissance artists, students create a mix of ten variations of color paint, and record the ratios of...
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...
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...
Curated OER
Alice in Fractalland
Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...
Curated OER
Hidden Ratios
In this ratios worksheet, students measure and record specified distances on a drawing of a head and shoulders. Students record information onto their graphing calculators and look for patterns in their information. They find the mean of...
Curated OER
Math and the Greek-Golden Proportions
Fourth graders study math and the golden mean. In this math meets Greek history lesson plan, 4th graders study ratios and proportions in relation to the Greeks. The use of clay is incorporated ino this lesson plan.
Curated OER
Ratio Relationships
Students solve for the different ratio and proportion of a problem. In this geometry lesson, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.
Curated OER
Amazing Fibonacci
Young scholars 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...
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...
Curated OER
Leonardo of Pisa and the Golden Rectangle
Young scholars 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...
Curated OER
Exploring the Golden Rectangle
Students 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 "golden"...
Curated OER
The Overlooked Regular Pentagon
Tenth graders discuss the history of geometry as it relates to pentagons. In this geometry lesson, 10th graders solve problems of a pentagon inscribed inside of a circle using ratio. They review other properties for shapes of polygons...
Curated OER
Patterns Across Cultures: The Fibonacci Sequence in Visual Art
Learners study the origin of the Fibonacci Sequence. For this investigative lesson students identify works of art where Golden Spiral or Ratio appear.
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
Modeling pentagrams using Geometers Sketchpad
Students 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...
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,...
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.
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...
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...
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...