La autenticación de Google falló. ¡Por favor, inténtelo de nuevo más tarde!
All Lesson Plans

Number Bars and Fibonacci

Below are Numbers Bars used to create different lengths. By using only 1s and 2s, how many different ways can you make a line of 10 units long?

https://mathigon.org/polypad/Z3JXxSg3VTh26g

How many different ways you can make a line of "15" units long if there is no 1s available?

https://mathigon.org/polypad/SDURkGetIblQA

Solutions

Part 1

You may have heard of the Fibonacci numbers will notice that the totals are the Fibonacci sequence, starting at the 2nd "1" in the sequence: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …

Part 2

When there is not a "1" Number Bar available, the number sequence actually became the Fibonacci Sequence: 1, 1, 2, 3, 5, 8, 13, ...

Further Reading

Fibonacci Numbers – Sequences and Patterns
mathigon.org/course/sequences/fibonacci