Seeing Dots
I. Consider the squares with dots below. Use colored pencils to show a pattern you notice. Color your
pattern in a way that, if someone else were to look at it, they would understand how to draw Figure 0
and Figure 5. Then draw Figure 0 and Figure 5.
Fig. 0
Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
a. Describe in words the pattern you found:
b. If n is the figure number, write an algebraic expression for the pattern you found.
II.
Find another way with your colored pencils to show a pattern with the dots.
Fig. 0
Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Write an algebraic expression for the new pattern you found.
III.
Choose all of the expressions in your group. Show how they are equivalent to each other.