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Curated OER
Patterns Across Cultures: The Fibonacci Sequence in Visual Art
Students study the origin of the Fibonacci Sequence. In this investigative instructional activity students identify works of art where Golden Spiral or Ratio appear.
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Finding Fibonacci
Learners study and apply the Fibonacci numbers and how they occur in nature. Students solve problems using the Fibonacci numbers.
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Patterns and Algebra - Modeling
Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...
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Fibonacci and the Golden Number!
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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Spiral Patterns in Art
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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Math in Nature
Students explore math in nature. In this lesson on the Fibonacci sequence, students use natural objects and Fibonacci numbers to discover mathematical patterns.
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Sequences, Counting and Probability - Week 4
In this sequence worksheet, students complete problems involving geometric sequences. They identify the nth term in a sequence. Students explore various positions in the Fibonacci sequence. This two-page worksheet contains eight...
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Searching for Pattern 13.1-13.4
In this recognizing patterns worksheet, 6th graders identify patterns of shapes and numbers and determine the pattern shape or number in question by skipping patterns (i.e.: the tenth, the forty-eighth, the ninety ninth) and by using...
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Fibonacci I
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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How Does Your Population Grown?
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...
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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...
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Easy Worksheet: Special Numbers
In this special numbers worksheet, high schoolers solve 4 short answer problems. Students find various terms in the Fibonacci sequence, triangular number sequence, and the natural numbers in Pascal's Triangle.
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Difference of Equations
In this difference of equations learning exercise, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of...
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Sequences in Geogebra
Students follow detailed directions to use the GeoGebra program. In this mathematics lesson plan, students find the nth term of a sequence, and use line art to approximate a Bezier's curve. Students locate points and segments on a...
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Turk-o-nacci Sequence
In this sequence worksheet, students use the Fibonacci sequence to determine the number of turkeys in a flock. This one-page worksheet contains 1 multi-step problem. The answer is provided at the bottom of the page.
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Applied Science - Science and Math Pre Lab
Young scholars find Fibonacci sequences. In this applied Science lesson, students solve Fibonacci sequence problems. Young scholars explore the mathematical patterns of objects in nature.
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"How Divine Is My Proportion?"
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...
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Extending Online Number Sequences
In this online number sequences activity, students work out the answers to eight comprehensive exercises with thirty-eight calculations involving a variety of sequences. Students answers are automatically graded online as they go and...
K20 LEARN
Are We Golden?
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...
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Numbers in Nature
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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Math Club Warm Up #10b
In this math club warm up #10b worksheet, 5th graders compute the answers for 3 problems involving multiplication and the Fibonacci numbers, without using a calculator; there are 4 sheets on a page.
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Early Greek Science and Philosophy
There are fundamental principles that nearly everybody knows about. Define the principles of Golden Mean, Fibonacci Numbers, creativity, and matter in terms of their Greek origins. Presented here are brief histories, philosophies, and...
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Fibonacci Patterns
Young scholars solve problems using the Fibonacci Patterns. In this geometry lesson, students trackthe growing rate of a rabbit population. They collect the data and graph their results. They make predictions based on their results.
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The Golden Rectangle
Middle schoolers explore the concept of the golden ratio. In this golden ratio lesson, students measure objects to determine if their measurements fit the golden ratio. Middle schoolers calculate the average measurements of the class.