Worksheet
Curated OER

Fibonacci Number Patterns

For Students 11th
In this patterns worksheet, 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...
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...
PPT
Curated OER

Calculator Tricks: The Golden Prediction

For Teachers 6th
Excite 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...
PPT
Curated OER

Early Greek Science and Philosophy

For Teachers 10th - 12th
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...
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...
Interactive
CK-12 Foundation

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...
Lesson Plan
Curated OER

Amazing Fibonacci

For Teachers 8th - 12th
Young scholars integrate the patterns of Fibonacci into music. For 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...
Lesson Plan
Curated OER

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.
Lesson Planet Article
Curated OER

Design, Grow, and Ponder in a Garden

For Teachers 6th - 12th
A garden can inspire students to make mathematical connections.
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.
Lesson Plan
Curated OER

Fibonacci I

For Teachers 5th
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.
Lesson Plan
Curated OER

What's My Function?

For Teachers 5th - 6th
Students use input / output tables to help them solve algebraic equations. They use patterns and relations to represent and analyze mathematical situations using algebraic symbols.
Lesson Plan
Curated OER

What's My Function?

For Teachers 5th
Fifth 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.
Unit Plan
Other

University of Surrey: The Nth Fibonacci Number

For Students 9th - 10th
Discusses the functions that will give the nth Fibonacci number in terms of n. The resource also provides advanced applications of the Fibonacci sequence.
Activity
Other

University of Surrey: The Fibonacci Number Sequence

For Students 9th - 10th
This resource provides extensive information on the Fibonacci number sequence. It has numerous formulas and examples.
Unit Plan
Other

University of Surrey: Hard Fibonacci Puzzles

For Students 9th - 10th
A list of difficult puzzles that deal with Fibonacci sequences and numbers. Especially interesting for students who enjoy puzzles and sequences.
Unit Plan
Other

University of Surrey: Mathematics of Fibonacci Numbers

For Students 9th - 10th
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.
Handout
Other

University of Surrey: Who Was Fibonacci?

For Students 9th - 10th
A biography of Fibonacci that discusses his life and his various mathematical contributions. Also has pictures of the Fibonacci memorial in Pisa.
Unit Plan
Other

University of Surrey: Easier Fibonacci Puzzles

For Students 9th - 10th
A list of "easy" puzzles that have Fibonacci sequences or numbers as their answers. Provides some interesting puzzles to discuss when studying the Fibonacci sequence.
Activity
Other

Mathman: The Fibonacci Numbers, Pineapples, Sunflowers, and the Golden Mean

For Students 9th - 10th
Here 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.
Activity
Wolfram Research

Wolfram Math World: Pascal's Triangle

For Students 9th - 10th
This 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.
Unit Plan
Other

University of Surrey: The First 500 Fibonacci Numbers

For Students 9th - 10th
A list of the first 500 Fibonacci numbers, including their prime factorization and whether they are prime.
Activity
Ministry of Education and Employment of Spain

Red Escolar: Juega Con Sucesiones

For Students 3rd - 8th
In Spanish. Find out about patterns and number sequences and read about some of Fibonacci tricks.

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