Curated OER
Building Patterns Constantly
Students are introduced to some number patterns using buildings constructed with squares. They construct tables of patterns and finding the recurrence rule for a simple pattern where the increase from term to term is a constant.
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.
Carnegie Mellon University
Recursion: Towers of Hanoi Puzzle
After answering your questions about recursion, try to figure out the Towers of Hanoi puzzle.
Other
University of Surrey: Easier Fibonacci Puzzles
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.
Wolfram Research
Wolfram Math World: Archimedes' Recurrence Formula
This page from Mathworld.com presents illustrations and equations involving Archimedes' Recurrence Formula.
Cut the Knot
Cut the Knot!: Interactive Mathematics: Geometry Articles, Theorems, Problems
Contains over five hundred Geometry articles, problems, puzzles, and games. Some sites relating to circles are provided within this list.
Other
University of Surrey: The First 500 Fibonacci Numbers
A list of the first 500 Fibonacci numbers, including their prime factorization and whether they are prime.