Here is an easy game you can play with your class mates.

Draw a grid of dots as shown.
Start
At each turn, a player draws a closed loop that passes through precisely one or two dots and does not intersect any other loop. (A closed loop is a line that starts and stops on the same dot and doesn’t cross itself. It can pass through other unused dots.) See below for two examples.
The player who draws the last possible loop loses.
Player 1 (P1) is guaranteed a win from here.
Can you see why?

Game 1

Player 2 (P2) is guaranteed to win from here. Can you see why?
Game 2