Solutions to the practice questions:
1. What important thing did Fibonacci write about in his book besides Fibonacci numbers?
Full credit answers: The Hindu-Arabic numbers; How to use Arabic numbers; The decimal number system we use now; The numbers we use now instead of Roman numerals.
2. About when did Fibonacci live?
Full credit answers: About 1200 AD; During the height of the Arab empire; About the time of the cruisades.
3. Where did Fibonacci live?
Full credit answers: Pisa; Italy. Partial credit answers: In the Arab Empire. (this one is partial credit because he only studied there for a few years, he didn't live there for most of his life)
4. Where did Fibonacci learn about Hindu-Arabic numbers?
Full credit answers: Carthage; In an Arab trading city; In the Arab empire; From an Arab tutor/scholar; A city in on the north coast of Africa.
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.
1, 1, 2, 3, 5
6. Use F18=2584 and F19=4181 to find F20= and F17= (show your work)
F20 = F18 + F19 = 2584 + 4181 = 6765
F17 = F19 - F18 = 4181 - 2584 = 1597
7. Use F14=377 and F16=987 to find F15= , F13= and F17= (show your work)
F15 = F16 - F14 = 987 - 377 = 610
F13 = F15 - F14 = 610 - 377 = 233
F17 = F16 + F15 = 987 + 610 = 1597
8. Change the Fibonacci rule Fn + Fn+1 = Fn+2 to a version that starts with Fn-1
Fn-1 + Fn = Fn+1
more practice of this type: the version that starts with n-2: Fn-2 + Fn-1 = Fn, the version that starts with n+1: Fn+1 + Fn+2 = Fn+3, the version that starts with n+3: Fn+3 + Fn+4 = Fn+5
9. Change the Fibonacci rule Fn + Fn+1 = Fn+2 to a version that uses the subscripts n+4, n+5, n+6.
Fn + Fn+1 = Fn+2
More practice of this type: the version that uses n-5, n-4, n-3: Fn-5+ Fn-4 = Fn-3
the version that uses n, n-1, n-2: Fn-2 + Fn-1 = Fn
the version that uses n+3, n+1, n+2: Fn+1 + Fn+2 = Fn+3
10. Change the Fibonacci rule Fn + Fn+1 = Fn+2 to a version that ends with Fn
Fn + Fn+1 = Fn+2
More practice of this type: the version that ends with Fn+8: Fn+6 + Fn+7 = Fn+8
the version that ends with Fn-1 : Fn-3 + Fn-2 = Fn-1
the version that ends with Fn+1: Fn-1 + Fn = Fn+1