Page 13 - Geometric Patterns
P. 13

10.3 From tables to flow diagrams






                 Figure 1       Figure 2            Figure 3               Figure 4


               1. Complete this table. Describe and discuss your methods.
                   Describe and discuss what patterns you see in the table.

                    Figure number                     1    2    3    4    5     6   30
                    Number of pink triangles          1    3    5    7

                    Number of green triangles         3    5

                    Total number of triangles         4    8

               2. Make a flow diagram to show how the number of pink
                   triangles can be calculated. Use the Figure numbers as the
                   input numbers and the number of pink triangles as the output
                   numbers. Complete all missing parts.

                    Figure no.                                  No. of pink triangles
                          1                                               1

                          2                                               3
                          3                                               5

                          4              ?                ?               7

                          5
                                          Calculation plan
                          6

                         30

                  Input numbers                                   Output numbers


               3. Repeat question 2, but this time make a flow diagram to
                   show how the number of green triangles can be calculated.
               4. Repeat question 2 again but show how the total number
                   of triangles can be calculated.
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