Page 7 - Geometric Patterns
P. 7

7.5  From pictures to tables

               Elspeth is making this growing pattern of pictures with pink and
               green triangles.








                 Figure 1      Figure 2            Figure 3               Figure 4


               1. Complete this table and describe your methods.

                    Figure number                1     2    3     4     5     6     10


                    No. of pink triangles        1     2    3


                    No. of green triangles       3     5    7


                    Total no. of triangles       4     7



               2. Describe the number patterns you see in the table.


               3. Describe Figure 30 in words.

                   (a) How many pink triangles are there in Figure 30?

                   (b) How many green triangles are there in Figure 30?

                   (c) How many triangles are there in Figure 30?


               4. If Elspeth makes a figure with 31 pink triangles, how many
                   green triangles does the figure have?


               5. If Elspeth makes a figure with 31 green triangles, how many
                   pink triangles does the figure have?
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