The Sixth Night

On the sixth dream with the number devil, Robert learns about the Fibonacci Sequence. To make Robert fully understand about Fibonacci Sequence, the number devil changes one month into five minutes and gives Robert a bunny clock. He shows Robert the sequence of increasing bunny.  When he lists Fibonacci numbers in order, it was 1,1,2,3,5,8,13,21,34,55,89,144,233 and so on. When too many bunnies were created, the number devil turned the clock clockwise and there were two cute bunnies left. At the end of that night, Robert felt lucky that his house's clock isn't a bunny clock.

1)  ‘R_n equals h_n factorial times f of n open bracket a plus theta close bracket. ‘ Translate to mathematical symbols.

2) Which number begins the Bonacci numbers? Identify the mathematical term that refers to the Bonacci numbers. 

3) How are the terms in the Fibonacci sequence generated?

4) The number devil ran through the Bonacci numbers in a singsong. Identify the error.

5)  List 3 ways to generate other Bonacci numbers. Provide an example to justify your response.

6)  Using the special rabbit clock, how long does a month last in the potato field?

7)   How can you calculate the number of rabbits born without counting the rabbits?

8)  What type of data display is used to show the rabbit problem?

9    9)  Solve the tree problem on page 122.

1   10)  List at least two places in nature where Bonacci numbers appear.

When answering questions in a post, be sure to answer them in complete sentences. In order to avoid echoing someone else's comment, each student will be required to answer one of the questions above. Utilize more of the questions, for more points. In class on Monday, students will share their posts and respond to at least one of the someone's response to a question. When answering a question, remember to expand your thinking and think of mathematical examples that will make your response richer. 

Your task this week is to choose one of the following questions and post an intelligent response. Use the bookmark to help guide your comments. Then continue reading through Chapter 7.

Let's get reacquainted with important parts of the rubric. Follow this rubric to achieve the highest scores possible.

Score	3	4
Ideas & Content	The student expresses some original ideas. The majority of ideas are  related to the subject matter.	The student has many original ideas and expresses them clearly. The great majority of ideas are related to the subject matter. Student makes connections to real-world situations and prior mathematical concepts learned.
Commenting	Student offers constructive comments and/or asks questions that provide assistance in reaching the solution of the problem.	Student offers constructive comments and/or asks questions of at least two classmates that clarify the problem solving process and/or provides assistance in reaching the solution of the problem with examples and counter examples.
Writing Quality	Posts show above average writing style. The content demonstrates that the student reads moderately, and attempts to synthesize information and form new meaning.	Posts are well written, and are characterized by elements of a strong writing style. The content demonstrates that the student is well read, synthesizes learned content and constructs new meaning.
Mathematical     Communication     Clarity of        Explanation	There is a clear            explanation.	There is a clear, effective explanation detailing how the problem is solved. All of the steps are included so that the reader does not need to infer how and why decisions were made.
Mathematical      Communication   Representation   (when appropriate    or required)	There is appropriate              use of accurate mathematical        representation.	Mathematical representation is              actively used as a means of                  communicating ideas related to the      solution of the problem.
Writing Conventions	There is one spelling or      grammatical error in the                     explanation or comments.	There are no spelling or grammatical      errors in either explanation or                comments.