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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...
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Lesson Plan
Curated OER

Fibonacci Numbers

For Teachers 5th - 8th
Students calculate the Fibonacci sequence of numbers. Through the use of Fibonacci numbers in flowers, leaves, fruits, vegetables, pine cones, and other forms of nature; students explore how Fibonacci numbers occur in nature. Then they...
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Lesson Plan
Curated OER

Math and Music: Fibonacci Sequence

For Teachers 5th - 8th
Students investigate the mathematical patterns of the Fibonacci Sequence. They determine how math is connected to music, specifically looking at music the uses the pattern sequence found in the Fibonacci Sequence.
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Lesson Plan
Curated OER

Fibonacci I

For Teachers 5th
Fifth graders have the opportunity to gather information themselves on Fibonacci and on the occurrence of Fibonacci numbers in nature. They divide up into groups of 2 to 4 to research.
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Lesson Plan
Curated OER

Patterns and Sequences

For Teachers 6th
Sixth graders explore pattern recognition and sequencing. They create arithmetic and geometric sequences with colors, shapes, and numbers. Students write expressions of arithmetic sequences and geometric sequences to find the nth term.
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Lesson Plan
Curated OER

Finding Fibonacci

For Teachers 5th - 10th
Students study and apply the Fibonacci numbers and how they occur in nature. Students solve problems using the Fibonacci numbers.
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Lesson Plan
Curated OER

Applied Science - Science and Math Pre Lab

For Teachers 4th - 8th
Students find Fibonacci sequences. In this applied Science lesson, students solve Fibonacci sequence problems. Students explore the mathematical patterns of objects in nature.
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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 found...
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Lesson Plan
Curated OER

Numbers in Nature

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

Golden Ratio

For Teachers 10th
Tenth graders investigate the Golden Ratio.  In this geometry lesson, 10th graders explore the Fibonacci sequence in the context of The Fibonacci Rabbit problem.  Students examine how the ratio of two consecutive Fibonacci number create...
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Lesson Plan
Curated OER

Patterns Across Cultures: The Fibonacci Sequence in Visual Art

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

There's Gold in Them Thar Ratios

For Teachers 7th - 10th
Students draw a model of the bunny problem which generates the Fibonacci Sequence, spirals generated from golden rectangles and golden triangles; identify the golden ratio in the human body, and find the Fibonacci numbers in nature.
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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 the...
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Lesson Plan
Curated OER

Patterns in Nature

For Teachers 4th - 8th
Students learn about artist Larry Schulte and view examples of his work. They create addition sentence for the first seven numbers of the fibonacci sequence and use unifix cubes to build that sentences. Students color and create three...
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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 plan for the...
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Lesson Plan
Curated OER

Using Ratios

For Teachers 8th - 10th
Students 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 primary...
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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...