Identify the rule behind a growing pattern and extend it by recognizing how new elements are added at each step.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
Joey creates the pattern 3, 5, 7, 9… How many squares change in each step? What would the new pattern be if 4 squares are added in each step instead?[br]
Joey creates the pattern 1, 6, 11, 16, 21. Instead of starting with 1 square, Joey starts with 2 squares. What is the new pattern?
Describe how to use squares to create the pattern 7, 6, 5, 4…