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139 reviewed resources for fibonacci

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Fibonacci II

For Teachers 8th - 10th
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
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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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Fibonacci and Other Sequences

For Students 8th - 11th Standards
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
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Fibonacci Via Recursion and Iteration

For Students 3rd - 6th Standards
Discover the wonders of the Fibonacci sequence. Young computer scientists watch videos on the Fibonacci sequence in nature and use spreadsheets to determine specific values in it. The lesson teaches iterative and recursive techniques for...
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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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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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Recursive Formulas: Fibonacci Sequence

For Students 11th - Higher Ed Standards
Explore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...
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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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Fibonacci Sequence

For Teachers 11th - 12th
Young scholars identify and analyze the pattern of the Fibonacci Sequence. For this geometry lesson, students complete a project to supplement the lecture on patterns and how it is related to the real world. They use the numbers found in...
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Golden Fibonacci and Ratios

For Teachers 6th - 10th
Students investigate the "golden ratio" and the Fibonacci sequence in nature, architecture, and art. The instructional activity links the Fibonacci rabbit breeding sequence as a number pattern that reveals the "golden ratio."
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Worksheet 1: Fibonacci Numbers

For Students Higher Ed
In this Fibonacci worksheet, students prove by induction the Fibonacci numbers are recursive. They find a recursive definition for a given set of numbers. This two-page worksheet contains five multi-step problems that involve proofs.
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Fibonacci Trick

For Students 9th - Higher Ed
In this algebra worksheet, students solve a puzzle starting with two single digit numbers and eventually conclude that the answer can be used with Fibonacci's pattern. There are 11 steps to the puzzle with a provided answer.
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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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Fibonacci and the Golden Number!

For Students 4th - 6th
In this math patterns worksheet, 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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SpongeBob's House is Not a Pineapple

For Students 7th - 12th
Who would have thought we could use SpongeBob as a mathematical example? A fantastically fun video that provokes higher thinking about the reality that SpongeBob's house might not actually be a pineapple based on its relation to the...
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Worksheet - Limits

For Teachers Higher Ed
In this limit worksheet, students give examples of described sequences and find the limits. They compute numbers in the Fibonacci sequence. This one-page worksheet contains six multi-step problems.
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Fabulous Fibonacci

For Teachers 4th
Fourth graders explore number sense by participating in a pattern identification activity. For this Fibonacci sequence lesson, 4th graders discuss who Fibonacci was and why his sequence discovery is so important. Students practice...
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A Fibonacci Primer

For Teachers 7th - 10th
Upper graders explore the Fibonacci sequence. They examine the characteristics of the Fibonacci sequence, list the properties of the sequence and determine how it connects to Pythagorean Triples. Related thinking questions are included.
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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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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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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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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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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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Ratios and Percents

For Teachers 9th - 11th
Students investigate ratios and percents and convert between the two. In this algebra lesson, students write ratios using fractions. They write percents as fractions and decimals and they apply the concepts of the Fibonacci rectangle to...

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