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 Write-up

Title
Multiplying Rabbits

Problem Statement
A newly born rabbit is capable of reproducing at one month old (when it matures). Suppose the rabbit never dies, and it continues reproducing one new rabbit every month. So, when the rabbit is born, it has one member in its own family. After a month, it matures, and by the second month it adds a new born member to its family. In the third month, the rabbit produces another offspring; its first child also matures and will be ready to have an offspring in the next month. The sequence named by Fibonacci (1,1,2,3,5,8,13,21,...) can describe the number of members in the rabbit's family at each month. Explain how

Problem setup

Determine how the Fibonacci sequence gives the number number of rabbits each month.

Plans to Solve/Investigate the Problem

I plan to expand the chart..

Investigation/Exploration of the Problem

I copied the diagram and expanded it until the 7th month. For each month I noted the number of mature rabbits and the new rabbits. I thought that you would count the mature rabbits of the current month and the mature rabbits of the previous month to get the next month’s total but it did not work. Next, I tried to double the mature rabbits and subtract a number (month, new rabbits). Someone suggested that we double the mature rabbits and add the new rabbits and after checking this idea, I found it to be correct.

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Dottie Mitcham

Link(s) to resources, references, lesson plans, and/or other materials