Yellow
Green
Blue
Red
Magenta
Remove
- Look at your data table. Describe any patterns you see.
- Look down the columns.
- Look across the rows. Look from one row to the next.
- Try to find patterns that use addition, subtraction, multiplication, or division.
- How can you get the next value of G in the table before adding the tiles of a new color to the turtle? Give more than one way. Use the patterns you found in the table to help you.
- How can you get the next value of S in the table without counting all the tiles? Give more than one way. Use the patterns you found in the table to help.
- Think of a rule that gives the new growth in squares (G) for a turtle of any age, and write the rule as a formula using G and A.
- Write a formula that tells how to find the size in squares (S) for a turtle of any age, A.
Michael and Ming notice that all of the numbers in the third column of their data table are square numbers. Square numbers can be written as some other number times itself. For example, 64 is a square number because it can be written as 8 8, or 8². (8² is said “eight to the second power” or “eight squared.”)
Michael and Ming build a 10 10 square shell. Michael says, “Let's keep going until we have a 20 20 square.”
Ming says, “Okay. That shouldn't be hard since we already have half the shell built.”
