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\n\"Fibonacci\n\n
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\nCurated OER\n
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\nFibonacci Number Patterns\n

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\n\nFor Students\n\n11th\n
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\nIn this patterns activity, 11th graders identify and solve 3 different problems that include completing Fibonacci number patterns. First, they continue the pattern shown at the top to find more Fibonacci numbers. Then, students determine...\n
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PPT
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\n\"Alice\n\n
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\nCurated OER\n
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\nAlice in Fractalland\n

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\n\nFor Teachers\n\n4th - 8th\n\nStandards\n
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\nTake 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...\n
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PPT
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\n\"Calculator\n\n
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\nCurated OER\n
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\nCalculator Tricks: The Golden Prediction\n

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\n\nFor Teachers\n\n6th\n
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\nExcite the class with a mathematical trick, a calculator, and a good number sense. They use the directions provided on each slide to make a list of numbers, use their calculator to divide, and find the golden mean. A little history on...\n
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PPT
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\n\"Early\n\n
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\nCurated OER\n
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\nEarly Greek Science and Philosophy\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nThere 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...\n
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Lesson Plan
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\n\"Class\n\n
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\nCurated OER\n
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\nClass of Gold\n

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\n\nFor Teachers\n\n6th - 9th\n
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\nHow 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...\n
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Interactive
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\n\"Recursive\n\n
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\nCK-12 Foundation\n
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\nRecursive Formulas: Fibonacci Sequence\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nExplore 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...\n
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Lesson Plan
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\n\"Amazing\n\n
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\nCurated OER\n
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\nAmazing Fibonacci\n

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\n\nFor Teachers\n\n8th - 12th\n
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\nStudents integrate the patterns of Fibonacci into music. In 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...\n
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Lesson Plan
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\n\"Fibonacci\n\n
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\nCurated OER\n
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\nFibonacci II\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nStudy 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.\n
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Lesson Planet Article
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\n\"Design,\n\n
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\nCurated OER\n
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\nDesign, Grow, and Ponder in a Garden\n

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\n\nFor Teachers\n\n6th - 12th\n
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\nA garden can inspire students to make mathematical connections.\n
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Lesson Plan
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\n\"Math\n\n
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\nCurated OER\n
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\nMath and Music: Fibonacci Sequence\n

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\n\nFor Teachers\n\n5th - 8th\n
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\nStudents 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.\n
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Lesson Plan
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\n\"Fibonacci\n\n
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\nCurated OER\n
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\nFibonacci I\n

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\n\nFor Teachers\n\n5th\n
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\nFifth 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.\n
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Lesson Plan
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\n\"What's\n\n
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\nCurated OER\n
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\nWhat's My Function?\n

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\n\nFor Teachers\n\n5th - 6th\n
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\nStudents use input / output tables to help them solve algebraic equations. They use patterns and relations to represent and analyze mathematical situations using algebraic symbols.\n
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Lesson Plan
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\n\"What's\n\n
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\nCurated OER\n
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\nWhat's My Function?\n

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\n\nFor Teachers\n\n5th\n
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\nFifth graders utilize input/output tables to help them solve algebraic equations. They incorporate patterns, number sequences and relations to represent and analyze mathematical problems and number relationships using algebraic symbols.\n
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Unit Plan
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\n\"University\n\n
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\nOther\n
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\nUniversity of Surrey: The Nth Fibonacci Number\n

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\n\nFor Students\n\n9th - 10th\n
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\nDiscusses the functions that will give the nth Fibonacci number in terms of n. The resource also provides advanced applications of the Fibonacci sequence.\n
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Activity
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\n\"University\n\n
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\nUniversity of Surrey: The Fibonacci Number Sequence\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis resource provides extensive information on the Fibonacci number sequence. It has numerous formulas and examples.\n
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\n\"University\n\n
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\nUniversity of Surrey: Mathematics of Fibonacci Numbers\n

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\n\nFor Students\n\n9th - 10th\n
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\nThe mathematics behind Fibonacci numbers and the mathematics that comes as a result of them as well. Provides a lot of activities you can try using the Fibonacci sequence.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"University\n\n
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\nUniversity of Surrey: Hard Fibonacci Puzzles\n

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\n\nFor Students\n\n9th - 10th\n
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\nA list of difficult puzzles that deal with Fibonacci sequences and numbers. Especially interesting for students who enjoy puzzles and sequences.\n
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\n\nGet Free Access\n\nSee Review\n
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Handout
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\n\"University\n\n
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\nUniversity of Surrey: Who Was Fibonacci?\n

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\n\nFor Students\n\n9th - 10th\n
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\nA biography of Fibonacci that discusses his life and his various mathematical contributions. Also has pictures of the Fibonacci memorial in Pisa.\n
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\n\"Mathman:\n\n
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\nMathman: The Fibonacci Numbers, Pineapples, Sunflowers, and the Golden Mean\n

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\n\nFor Students\n\n9th - 10th\n
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\nHere is an exercise to do using a pineapple to explore Fibonacci numbers. Then find the ratios of larger to smaller of each consecutive pair of Fibonacci numbers and graph them to find out the sequence.\n
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\n\"University\n\n
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\nUniversity of Surrey: Easier Fibonacci Puzzles\n

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\n\nFor Students\n\n9th - 10th\n
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\nA list of \"easy\" puzzles that have Fibonacci sequences or numbers as their answers. Provides some interesting puzzles to discuss when studying the Fibonacci sequence.\n
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Activity
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\n\"Wolfram\n\n
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\nWolfram Research\n
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\nWolfram Math World: Pascal's Triangle\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis site from MathWorld provides great information on Pascal's Triangle. Links are provided throughout for additional information, along with several helpful charts and formulas. This is a good site to check out on the subject.\n
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\n\"University\n\n
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\nUniversity of Surrey: The First 500 Fibonacci Numbers\n

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\n\nFor Students\n\n9th - 10th\n
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\nA list of the first 500 Fibonacci numbers, including their prime factorization and whether they are prime.\n
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Activity
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\n\"Red\n\n
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\nMinistry of Education and Employment of Spain\n
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\nRed Escolar: Juega Con Sucesiones\n

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\n\nFor Students\n\n3rd - 8th\n
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\nIn Spanish. Find out about patterns and number sequences and read about some of Fibonacci tricks.\n
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