1. Go to  http://matti.usu.edu/nlvm/nav/frames_asid_170_g_2_t_3.html?open=activities



2. Choose one of the pattern block shapes. Use more of the same shapes to build a larger version of the same shape. For example, you can connect four triangles to make a larger Triangle that is similar in shape to a single triangle.


3. How many triangles would you need to make the third similar shape? The fourth shape? The fifth shape? The tenth shape (without making it)? In other words, continue this pattern:

1,  4,  ___,  ____,  ____, _____, ____, ____, ____, ____



4. Explain how you know what the next number is.



5. These numbers have a special name. They are called square numbers. Can you explain why?


6. Can you predict how many triangles would be in the 100th triangle?