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Add Three Alligator
The animals on Gzorp grow by adding squares. Each kind of animal adds squares differently. An Add Three Alligator grows like this:
It keeps growing, getting three squares larger each year. The new squares it grows each year are always a different color than the squares it grew the year before.
- Use square-inch tiles to build a model of the Add Three Alligator up to at least age 8. As you add tiles for each year of age, record the data in a table like the one shown here.
- Plot your data. Put A on the horizontal axis and S on the vertical axis. Scale your axes to include values up to at least A = 10 and S = 43.
- 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 Add Three Alligator? Does this make sense?
- Look at your data table and graph.
- Describe any patterns you see.
- How can you get the next value of S without counting all the tiles? Use your graph and the patterns you found in the data table.
- How many squares does an Add Three Alligator have at each of the ages shown below? Record the data for each age in your data table.
- 10 years old
- 20 years old
- 25 years old