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- Think of a rule that gives the size in squares, S, for an Add Three Alligator of any age, A. Write the rule both in words and as a number sentence using A and S. This kind of number sentence is called a formula.
- Use your formula to calculate the number of squares a 25-year-old Add Three Alligator will have. Did you get the same answer you got for Question 3C? If not, explain why not.
- How old is an Add Three Alligator that has 66 squares? Show or tell how you solved this problem.
- If an Add Three Alligator has 100 squares, about how old is it? Show or tell how you solved the problem.
Four Arm Starfish
A Four Arm Starfish grows like this:
- Use square-inch tiles to build a model of the Four Arm Starfish up to at least age 8. As you add tiles for each year of age, record the data in a table.
- Plot your data using the same set of axes you used for the Add Three Alligator.
- Draw a line that goes through all of the points. Extend your line until it meets the vertical axis.
- Think about the point where the line meets the vertical axis. What does it say about the Four Arm Starfish? Does this make sense?