The Quiz on Thursday will have a question about Fibonacci the person. Some questions I might ask are:
The quiz will have a few problems about Fibonacci's life chosen from the following:
1. What was the most influential thing Fibonacci wrote about in his book?
2. About when did Fibonacci live?
3. Where did Fibonacci live?
4. Where did Fibonacci learn about Hindu-Arabic numbers?
You can read more about Leonardo Pisano (Fibonacci) at http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Fibonacci.html
The quiz will also have 2-3 questions about the Fibonacci sequence of numbers. some questions I might ask are:
5. Write down the first 5 Fibonacci numbers.
6. Use F18=2584 and F19=4181 to find F20= and F17= (show your work)
7. Use F14=377 and F16=987 to find F15= (do this first), F13= and F17= (show your work)
For 6 and 7, you will need to use the pattern: Fn + Fn+1 = Fn+2 (if you add two consecutive Fibonaccis together (eg. F3 and F4), you get the next one (F5)); and the variations Fn = Fn+2 - Fn+1 and Fn+1 = Fn+2 - Fn (if you have a large-ish Fibonacci (eg. F5)and you subtract the Fibonacci just before it (F4), you get the Fibonacci that comes just before that one (F3) OR if you have a large-ish Fibonacci (F5) and you subtract the Fibonacci that comes comes two before it (F3) then you get the Fibonacci that comes in between the two (F4))
The quiz will have 2-3 questions about the Fibonacci rule written with subscripts:
8. Rewrite the Fibonacci rule Fn + Fn+1 = Fn+2 so that it starts with Fn-1
more practice of this type: the version that starts with n-2, the version that starts with n+1, the version that starts with n+3
9. Rewrite the Fibonacci rule Fn + Fn+1 = Fn+2 so that it uses the subscripts n+4, n+5, n+6.
More practice of this type: the version that uses n-5, n-4, n-3; the version that uses n, n-1, n-2; the version that uses n+3, n+1, n+2
10. Rewrite the Fibonacci rule Fn + Fn+1 = Fn+2 so that it ends with Fn
More practice of this type: the version that ends with Fn+8, the version that ends with Fn-1, the version that ends with Fn+1