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Curated OER

Alice in Fractalland

For Teachers 4th - 8th Standards
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...
Lesson Plan
Teach Engineering

The Fibonacci Sequence and Robots

For Students 6th - 8th Standards
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...
Lesson Plan
Curated OER

I Am Golden

For Teachers 6th - 8th
Middle schoolers become familiar with patterns, the Fibonacci Sequence, and the Golden Ratio. They see how many places these occur. They have practical applications for using the calculator and making charts to extend patterns.
Lesson Plan
Teach Engineering

Discovering Phi: The Golden Ratio

For Teachers 6th - 8th Standards
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...
Lesson Plan
Curated OER

Math in Nature

For Teachers 7th - 12th
Students explore math in nature. In this lesson on the Fibonacci sequence, students use natural objects and Fibonacci numbers to discover mathematical patterns.
Lesson Plan
Curated OER

"How Divine Is My Proportion?"

For Teachers 8th
Eighth graders explore the concept of the divine proportion/golden ratio. In this Fibonacci Sequence exploratory lesson, 8th graders measure the length and width of various objects to see which items have a divine proportion. Students...
Lesson Plan
Curated OER

Patterns Across Cultures: The Fibonacci Sequence in Visual Art

For Teachers 7th - 12th
Young scholars study the origin of the Fibonacci Sequence.  In this investigative instructional activity students identify works of art where Golden Spiral or Ratio appear. 
Lesson Plan
Curated OER

Numbers in Nature

For Teachers 9th - 11th
Students identify numbers in nature. In this algebra activity, students solve problems using Fibonacci sequence as it is expressed in nature. They research the Fibonacci's pattern as it relates to numbers.
Lesson Plan
Curated OER

How Does Your Population Grown?

For Teachers 8th - 11th
Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...
Lesson Plan
Curated OER

The Fibonacci Keyboard- Jazz and Math

For Teachers 11th - 12th
Learners demonstrate an understanding of the relationships of the Fibonacci Sequence. They apply the Fibonacci Sequence and find its relationship to a piano keyboard. They explore various relationships between music and the Fibonacci...
Lesson Plan
Curated OER

Class of Gold

For Teachers 6th - 9th
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...
Lesson Plan
Curated OER

Amazing Fibonacci

For Teachers 8th - 12th
Students integrate the patterns of Fibonacci into music. For 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...
Lesson Plan
Curated OER

Discovering Math: Rational Number Concepts

For Teachers 10th - 12th
Students explore the concept of Egyptian contributions in mathematics. In this Egyptian contribution lesson, students research Egyptian hieroglyphics and pyramids. Students write numerals in hieroglyphics. Students use Egyptian methods...
Lesson Plan
Curated OER

Fibonacci Patterns

For Teachers 9th - 10th
Students solve problems using the Fibonacci Patterns. In this geometry instructional activity, students trackthe growing rate of a rabbit population. They collect the data and graph their results. They make predictions based on their...
Lesson Plan
Curated OER

Leonardo of Pisa and the Golden Rectangle

For Teachers 10th - 11th
Young scholars investigate geometry and algebra and the history behind these two interesting subjects. For this algebra lesson, students analyze the Fibonacci Sequence and relate it to solving exponential equations. There are alot of...
Lesson Plan
Curated OER

Guess That Sequence!

For Teachers Pre-K - 1st
Pupils analyze number sense by participating in a pattern identification activity. In this number sequence lesson, students examine several groups of numbers and identify the sequence in the group before adding on to it. Pupils check...
Lesson Plan
Curated OER

The Golden Rectangle

For Teachers 6th - 8th
Students explore the concept of the golden ratio. In this golden ratio lesson, students measure objects to determine if their measurements fit the golden ratio. Students calculate the average measurements of the class.
Lesson Plan
K20 LEARN

Are We Golden?

For Teachers 6th - 7th Standards
Lead your class on a search for precious bones. Using a presentation, the class investigates the golden ratio in art and nature. Groups of pupils measure specific bones and find the average ratio for the class. To further cement the...
Lesson Plan
Curated OER

Golden Connections

For Teachers 9th - 12th
Students determine the ratio of pairs of consecutive terms in the Fibonacci Sequence. Using four different colors, they create a golden rectangle in either two or three dimensions. They use photographs to create two collages using...
Lesson Plan
Curated OER

As Good As Gold

For Teachers 5th - 10th
Students find examples of the Golden Ratio on the human body through measurement. Additionally, students learn about the use of the Golden Ratio and the Golden Rectangle in art and architecture. A very interesting lesson for the students!
Lesson Plan
Curated OER

Perplexing Patterns

For Teachers 7th
Seventh graders identify and find missing patterns. In this algebra lesson, 7th graders investigate numbers and sequences and complete the pattern. They make a chart and discuss similarities and differences.
Lesson Plan
Curated OER

Proportionality: Modeling the Future

For Teachers 4th - 8th
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...
Lesson Plan
Curated OER

Modeling pentagrams using Geometers Sketchpad

For Teachers 10th - 12th
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...
Lesson Plan
Curated OER

How Many Cells Are Born in a Day?

For Teachers 8th - 12th
Learners predict the number of cells after a series of cell divisions.  In this cells lesson students create a graph of their results and create a patterned drawing. 

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