IM1.1.1 Exit Ticket

Author:
00JonLind
Image

Use the pattern above to answer these questions.

  1. Each square represents one tile, how many total tiles are in Step 5? Step 6?
  2. What might you do to determine the number of tiles in Step 25?
  3. Write a rule to predict the total number of tiles for any step. Show how your rule relates to the pattern.
  4. Try to think of a different rule that you can use to predict the total number of tiles for any step. Show how your rule relates to the pattern.
  5. Andrew also solved this problem and came up with following equation: s = 1 + 3(n-1). How does each piece of his expression show up in the pattern?
  6. Tami came up with the equation s = 3n – 2. How does each piece of her expression show up in the pattern?