Paper Pool Project Part 1

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					          Paper Pool Project: Writing Workshop

          Writing an Introduction
                 When organizing your responses to the questions posed in the Paper Pool Project,
                 keep in mind to address the question posed. You want to introduce the reader to
                 the problem you have been presented with (either “what corner the ball will
                 stop?” or “how many hits will occur?”) and how you approached the problem.
                 This should be done in your introduction, for example…
                         “When working on the paper pool project, we were given
                         two questions to answer. The first question was “In what
                         corner will the ball stop?” The second question was “How
                         many hits will have occurred by the time the ball stops?”
                         In order to answer these questions, we had to experiment
                         with the Paper Pool program. After we learned how to
                         make different tables of different sizes, we recorded our
                         data in a table (or spreadsheet). When we looked closely at
                         the table, we were able to see some patterns and this
                         allowed us to answer the two questions.”
                 After you have introduced the reader to the problem, then you can present your

          Presenting your Solutions
                  When writing about your solutions, you want to make sure that you have your
          information organized before beginning to write. Make use of a graphic organizer to help
          with this step.

                                                   and Width
                                                    are same
                                Occurrence                             Occurrence
                                    #3                                     #2
                                                   Lands in
 Length is                                         Pocket C                                     Length is
 “2” and                                                                                        “1” and
width is odd                                                                                    width is
Occurrence             Lands in
    #2                 Pocket B                What Pocket Will               Lands in          Occurrence
                                                the Ball Land?                Pocket D              #2

    #3                                                                                          Occurrence

               Each occurrence should have examples and proof that are included in that paragraph.
Hints and Tips
       Here are some thoughts to help you ponder the mysteries of the Paper Pool Game:
                If the number of hits is even, then the ball will land in Pocket
                If the number of hits is odd, then the ball will land in Pocket
                What connection do similar or equivalent pool tables fit in the table
                  (i.e. 1x2, 2x4, 3x6, 4x8, 5x10)
                If both dimensions are ODD, then the ball will land in Pocket
                If both dimensions are EVEN, then the ball will land in Pocket
                If the length is ODD and the width is EVEN, then the ball will land in
                If the length is EVEN and the width is ODD, then the ball will land in
                How are Greatest Common Factor, Factors, Multiples and Division
                  important to the Paper Pool Project?

       This table should also show you how to organize your data to help you see the
       different patterns. If you table does not look like this one, that’s ok, but it should
       still contain the same information which is # of hits and Pocket.

   Pocket                                  Number of Hits
  The Ball      2      3      4       5       6       7       8       9       10      11
                     2×1            2×3             2×5             2×7              2×9
      B              4×2            4×1             4×3             4×5              4×7
                     6x3            4×6             6×1             8x1              6×5
                                                            1×7              1×9
             1×1            1×3             1×5
                                                            3×5              3×7
      C      2×2            3×1             5×1
                                                            5×3              7×3
             3×3            2×6            2 × 10
                                                            7×1              9×1
                                                                                    1 × 10
                     1×2            1×4             1×6              1x8
      D              2×4            3×2             3×4              7×2
                     4×8            6×4             5×2             10 × 8

       One way to help speed up your investigation is to keep your information
       ORGANIZED. Notice how the dimensions increase in an organized fashion (look
       at pocket B – you see the dimensions 2x1, 2x3, 2x5, 2x7, 2x9 as the number of
       hits increases. If there is a gap in the pattern or if the pattern shows some kind of
       change, this may bears investigating also to find out where that dimension is on
       the chart. Keeping your table organized will dramatically help to see the patterns
       and also make your investigation easier to describe in your Paper Pool Project

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