This document provides divisibility rules for numbers that are divisible by 3, 6, and 9 without actual division. It gives examples of applying these rules such as determining if 45 is divisible by 9 by adding the digits 4 + 5 to get 9, which is divisible by 9. Students then participate in an activity where they list numbers using the digits 1, 3, 5, and 9 that are divisible by 3, 6, and 9 based on the rules. Their answers are then evaluated using checks under the correct columns to indicate which numbers follow the divisibility rules.