Generate terms in a pattern when given a rule.  Identify features of a pattern that are not explicit to the rule itself.

Problem

Louie the turtle was born with 4 squares on his shell, as in the first picture below. When he was 1 year old, 12 new squares appeared around the old squares, as in the second picture below. Each year, a new group of squares appeared around the old squares.
How many new squares appeared on Louie's shell each year? Extend the pattern and fill in the blanks in the chart below.
AgeNew squares
04
112
2
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
3
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4