Lesson #5 - Creating Integers From Fibonacci numbers

Objective: Students will use Fibonacci numbers and the four arithmetic operations to produce integer values from 1-20, 1-50, 1-100.

Photo credit:
DevCentral

Task: Using only Fibonacci Sequence numbers and the four arithmetic operations (addition, subtraction, multiplication and division) produce each integer value from 1-20. Older students may be challenged to produce numbers through 50, or even 100.

Example: The number 10 may be produced in the following ways using Fibonacci numbers:
5+5
8+2

Photo credit:
MathIsFun.com

13 - 3

The number 17 may be produced by doing the following:
13 + 5 - 1
8*3-13 + 3*2

• How many different ways can you find to make each target number?
• Which numbers can you find using only addition?
• Which numbers can you find using only addition and subtraction without repeating any numbers?
• Which numbers can you find using all four operations?