Page 10 - Geometric Patterns
P. 10
geometric pAtterns
10.1 Investigate and extend patterns
1. (a) Describe in words how this growing pattern of triangles is
made.
Triangle 1 Triangle 2 Triangle 3 Triangle 4
(b) Describe Triangle 6 and Triangle 7 in words. How many
dots are there in Triangle 6 and how many in Triangle 7?
(c) Describe Triangle 60 and Triangle 70 in words. Calculate
the number of dots in Triangle 60 and in Triangle 70.
(d) Complete this table. Describe and discuss your methods.
Describe and discuss what patterns you see in the table.
Triangle number 1 2 3 4 5 6 30
Number of dots 3 6
2. On the next page you can see growing patterns of squares,
pentagons and hexagons. Investigate each pattern by
answering these questions.
(a) Describe in words how the growing pattern is made.
(b) Describe Figure 6 (that is Square 6, Pentagon 6 and
Hexagon 6) and Figure 7 in words. How many dots are
there in Figure 6 and how many in Figure 7?
