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- Is Ming correct to say that they have built half of a 20 20 square when they already have a 10 10 square? Use your formulas and the patterns you found in your table and graphs to explain your thinking.
- What fraction of a 20 20 square is built when Michael and Ming have a 10 10 square done? Show how you know.
- After building a 19 19 square, Michael wants to add red tiles to make it a 20 20 square.
- How many red tiles will he need to add? Show how you know.
- How many total tiles will be in the square?
- Use the fact that 19 19 = 361 to find the total number of tiles in a different way.
- Use your table, graphs, and formulas to answer the following questions.
- Which is greater for a 5 5 square, the new growth in squares (G) or the size in squares (S)?
- Would your answer to Question 11A be the same for a turtle of any age? Explain how you know.
- Which gets larger more quickly, the new growth in squares (G) or the size in squares (S)? How can you tell?
- In what ways are the graphs from Questions 2A and 2B similar?
- In what ways are the graphs from Questions 2A and 2B different?