GEOMETRY PROJECT - 500 LOCKERS

Solve the following problem by looking for a pattern.

A custodian was working in a school and decided to play a locker game. On the first day he opened all of the 500 lockers in A corridor. On the second day he closed every even numbered locker. On the third day he went to every 3 lockers and if it was open he closed it, if it was closed he opened it. On the fourth day he changed every 4th locker. He continued until the 500th day. Which lockers are still open?

Assignment:

Write a 4 or 5 paragraph essay with a diagram or sketch explaining how to solve this problem. Be sure to explain what type of logic you used and refer to your sketch in your essay.

Grading Rubric:

1 pt. - student is vaguely familiar with the concept and has numerous errors

2 pts. - student is vaguely familiar with the concept, but makes minor errors

3 pts. - student uses the concept properly, but has little explanation

4 pts. - student understands the concept, uses it properly, explanation has some errors

5 pts. - student understands the concept, uses it properly, explanation has minor errors

Criteria:

Essay format: X2

Diagram: X3

Logic: X3