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Lesson Plan
Curated OER

Patterns in Nature

For Teachers 9th - 12th
Research patterns in nature which illustrate biological and mathematical concepts. Your class will discover and explore aspects of fractals, Fibonaccis numbers, whale and butterfly migration patterns, whale identification, flower...
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PPT
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...
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Lesson Plan
Curated OER

The Fibonacci Sequence

For Teachers 6th - 8th
Students investigate a numerical pattern and look for evidence of mathematical patterns in nature. They solve puzzles and work with a partner to predict sequential numbers in a series.
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Lesson Plan
MENSA Education & Research Foundation

Fabulous Fibonacci and His Nifty Numbers

For Teachers 3rd - 5th Standards
Fibonacci numbers are not only found in the classroom but also in nature. Explore the concept of Fibonacci numbers through a series of lessons designed to gain insight into the mathematical reasoning behind the number pattern, and spark...
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Unit Plan
Radford University

Fibonacci is All Around

For Teachers 9th - 12th Standards
One ratio to rule them all. Young mathematicians investigate the Fibonacci sequence and the Golden Ratio. To begin the first lesson, they use a spreadsheet to see how the Fibonacci sequence gives the Golden Ratio. The second lesson...
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Activity
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Illustrative Mathematics

Hexagonal Pattern of Beehives

For Teachers 9th - 12th Standards
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
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Worksheet
Curated OER

Patterns in Nature

For Students 5th - 6th
In this patterns in nature instructional activity, students read about the Fibonacci Spiral, then follow the directions to plot one on the graph paper and draw the spiral, with links to more information.
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Worksheet
Curated OER

Learning about Fibonacci

For Students 5th - 7th
In this learning about Fibonacci worksheet, students read about Leonardo Fibonacci and his contribution to mathematics, then study the pattern of Fibonacci numbers, in math and in nature.
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Lesson Plan
Curated OER

Math in Nature

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

Numbers in Nature

For Teachers 9th - 11th
Students identify numbers in nature. In 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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Worksheet
Curated OER

Spiral Patterns in Art

For Students 6th - 7th
In this art worksheet, students view a picture of Alexander Calder's sculpture "Black, White, and Ten Red." They analyze the sculpture by first finding the "rule" in the Fibonacci sequence. Students read a paragraph about where the...
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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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PPT
Curated OER

Number Sequences

For Teachers 4th - 5th
Number sequences make for great challenges that stimulate pattern recognition, algebraic reasoning, and number sense. This slide-show includes eleven number sequences for learners to work through, an explanation of what number sequences...
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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

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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Worksheet
Curated OER

Fibonacci and the Golden Number!

For Students 4th - 6th
In this math patterns activity, students review the beginning numbers in Fibonacci's numbers, find the pattern, follow directions and problem solve to find the Golden Number and complete a chart, measure lengths of body parts and find...
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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

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
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

Symmetry In Nature

For Teachers 6th - 12th
Students investigate the symmetry that is found in nature. They view shapes and patterns in nature while looking at images. Students look for tessellations while obtaining photographs with a digital camera. The information is used for...
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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

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
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 lesson students identify works of art where Golden Spiral or Ratio appear.