Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Sucesion De Fibonacci
In Spanish. This unit is about Fibonacci numbers, some of its most interesting properties and their occurrence both in nature and art.
ClassFlow
Class Flow: Sequence Fibonacci
[Free Registration/Login Required] The teacher will use this lesson plan flipchart to review the Fibonacci sequence. The students will be able to complete Fibonacci's mathematical sequence following a study of the pattern.
University of Cambridge
University of Cambridge: Nrich: 1 Step 2 Step, Fibonacci
See if you can find the patterns on the staircase. Mr. Fibonacci would be so proud to know you found the solution. You can check your solution right at this nifty one-page website.
Other
Fascinating Triangular Numbers
Patterns of numbers don't come along every day, and so when they do, they need to be bragged about! The basic definition of triangular numbers begins this site which also lists many of the properties of these numbers, highlights the...
Curated OER
Science Kids: Science Images: Fibonacci Numbers
This photo shows the Fibonacci numbers 1, 1, 2, 3, 5, 8, 13, 21, 34 and 55 lit up on the side of a tall smoke stack. The Fibonacci sequence of numbers is named after the Italian mathematician Leonardo of Pisa (better known as Fibonacci)....
Texas Instruments
Texas Instruments: At a Snail's Pace for the Ti 73 Explorer
It is hard to imagine a way to mathematically describe a spiral. Spirals are commonly seen in nature. There are a number of different types of spirals. Some interesting examples include the spiral arrangements of scales in pine cones,...
Texas Instruments
Texas Instruments: Sequences
Students learn how to graph the first n terms of a sequence, how to set the window and how to evaluate the nth term of a sequence. They also explore the Fibonacci sequence and Web plots.
Science Struck
Science Struck: 13 Real Life Examples of the Golden Ratio
Explains what the golden ratio is and its relationship to the Fibonacci sequence. Gives interesting examples of the golden ratio in plants, seashells, astronomy, weather, the human body, insects, DNA, and animals.
Mathigon
Mathigon: Algebra: Special Sequences
In addition to arithmetic and geometric sequences, Fibonacci Numbers, and figurate numbers, there are countless interesting sequences that don't follow a similar, regular pattern. These include prime numbers, perfect numbers, the...
Wolfram Research
Wolfram Math World: Recursive Sequence
Defining recursive sequence, this site also discussed the relationship of Fibonacci numbers and recursive sequence.
University of Cambridge
University of Cambridge: Nrich: Gnomon 1
This interactive activity gives you an opportunity to explore a specific number pattern named the "Fibonacci sequence." See what other patterns you can discover while you manipulate the blocks. There is a "Printable Page" link if you...
Math Is Fun
Math Is Fun: Pascal's Triangle
A detailed explanation of Pascal's trianlge, with lots of examples and patterns described.
Texas Instruments
Texas Instruments: Numb3 Rs: Pythagorean Triples
Based off of the hit television show NUMB3RS, this lesson has students explore the notion of Pythagorean triples, the "traditional" method for finding Pythagorean triples, and a method to find triples which utilizes the Fibonacci...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Sequences
An introductory tutorial on sequences, complete with important definitions, example problems and step-by-step solutions, and several practice exercises for you to complete and check. Provides good explanations and examples of arithmetic,...
Wolfram Research
Wolfram Math World: Pythagorean Triple
This site provides extensive information about Pythagorean triples. It begins by explaining its relation to the Pythagorean theorem, and then gives ways to generate Pythagorean triples using relatively prime numbers and Fibonacci numbers.
Wolfram Research
Wolfram Math World: Golden Ratio
Math World explains the Golden Ratio, gives the formula for finding the irrational number, and expresses this value as an infinite series. Also defines and represents the Ratio geometrically, its relationship to the Fibonacci numbers,...
Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator Practice Problems Pythagorean Theorem
Practice using your graphing calculator for real number problems, including the Pythagorean Theorem. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under each...
Mangahigh
Mangahigh: Number: Special Number Sequences
Explore the Fibonacci sequence along with other sequences.
Math Is Fun
Math Is Fun: Common Number Patterns
Developed by a mathematics teacher from the UK, this page identifies and illustrates several common number patterns.
Wolfram Research
Wolfram Math World: Inverse Tangent
This site is all about inverse tangents. The site includes a definition, color graphs, formulas, and many links to related terms.
CK-12 Foundation
Ck 12: Geometry: Visual Patterns Grades 10 12
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the next term in a sequence.
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.
Other
P.u.e.m.a.c.: Que Es La Razon Aurea?
Find out how to calculate the Golden Ratio in this exercise.
Rice University
Rice University: Cynthia Lanius: Golden Rectangles All Around
This site is a lab sheet that students can use to explore the golden ratio. It also has other informative links on it.
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