Unit 9 Contents

1. Use square-inch tiles to build a model of the Rainbow Caterpillar up to at least Age 8. As you add tiles for each year of age, record the data in a table.
2. Plot your data using the same set of axes you used for the Add Three Alligator and the Four Arm Starfish.
3. Draw a line that goes through all of the points. Extend your line until it meets the vertical axis.
4. Think about the point where the line meets the vertical axis. What does it say about the Rainbow Caterpillar? Does this make sense?
15. Look at your data table and graph.
1. Describe any patterns you see.
2. How can you get the next value of S for a Rainbow Caterpillar without counting all the tiles?
16. How many squares does a Rainbow Caterpillar have at each of these ages? Record the data for each age in your data table.
1. 10 years old
2. 20 years old
3. 25 years old

Check-In: Questions 17–20

17. Write a formula that gives the size in squares, S, for a Rainbow Caterpillar of any age, A.
18. Use any method you choose to predict the number of squares a 35-year-old Rainbow Caterpillar has. Show or tell how you found your answer.
19. Use any method you choose to find the age of a Rainbow Caterpillar with the ages shown below. Show or tell how you found your answers.
1. 63 squares
2. 153 squares
20. Estimate the age of a Rainbow Caterpillar that has 1000 squares. Explain your estimation strategy.