Curated OER
Math Club Warm Up #10b
In this math club warm up #10b learning exercise, 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.
Curated OER
Math in Nature
Students explore math in nature. In this instructional activity on the Fibonacci sequence, students use natural objects and Fibonacci numbers to discover mathematical patterns.
Curated OER
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.
Curated OER
The Golden Rectangle
Students explore the concept of the golden ratio. For this golden ratio lesson, students measure objects to determine if their measurements fit the golden ratio. Students calculate the average measurements of the class.
Curated OER
Discovering Math: Rational Number Concepts
Students explore the concept of Egyptian contributions in mathematics. In this Egyptian contribution lesson, students research Egyptian hieroglyphics and pyramids. Students write numerals in hieroglyphics. Students use Egyptian methods...
Curated OER
"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...
Curated OER
Worksheet 1: Fibonacci Numbers
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.
Curated OER
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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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...
Curated OER
Fibonacci Numbers
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...
Curated OER
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.
Curated OER
Math and Music: Fibonacci Sequence
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.
Curated OER
Finding Fibonacci
Students study and apply the Fibonacci numbers and how they occur in nature. Students solve problems using the Fibonacci numbers.
Curated OER
Easy Worksheet: Special Numbers
In this special numbers worksheet, students solve 4 short answer problems. Students find various terms in the Fibonacci sequence, triangular number sequence, and the natural numbers in Pascal's Triangle.
Curated OER
Secret Sequences
Students are exposed to different types of sequences. in this sequencing lesson, students learn about simple sequences, multiplication sequences, declining sequences, the Fibonacci sequence and other sequences.
Other
Mathematics: Fibonacci Numbers and the Golden Section
This resource contains everything you ever needed to know about Fibonacci numbers. You'll find mathematical and historical facts, examples, problems, interactive demonstrations, and more.
Other
University of Surrey: Who Was Fibonacci?
A biography of Fibonacci that discusses his life and his various mathematical contributions. Also has pictures of the Fibonacci memorial in Pisa.
Other
University of Surrey: The Nth Fibonacci Number
Discusses the functions that will give the nth Fibonacci number in terms of n. The resource also provides advanced applications of the Fibonacci sequence.
Other
University of Surrey: Mathematics of Fibonacci Numbers
The 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.
Other
University of Surrey: Hard Fibonacci Puzzles
A list of difficult puzzles that deal with Fibonacci sequences and numbers. Especially interesting for students who enjoy puzzles and sequences.
University of St. Andrews (UK)
University of St. Andrews: Leonardo Pisano Fibonacci
This University of St. Andrews site contains biographical information on the life and accomplishments of Fibonacci.
Wolfram Research
Wolfram Math World: Recursive Function
A definition of recursive function, and the relation of recursive function to recursion. There is also an example defining f(x,y) as the function xy.
Wolfram Research
Wolfram Math World: Recursive Sequence
Defining recursive sequence, this site also discussed the relationship of Fibonacci numbers and recursive sequence.
Texas Instruments
Texas Instruments: Class of Gold
Students investigate Fibonacci numbers and the ratios of successive Fibonacci numbers.