To systematize means to organize things in a planned and orderly way, especially by following a system or a set of rules.
Systematizing can make people think of being very organized and having everything in the right place.
Examples:
She likes to systematize her books by color.
We need to systematize our schedule for the week.
He systematizes his toys by size.
I tried to systematize my toys, but they kept falling over!
He systematizes everything in his room, even his socks.
If you systematize your toys, you'll always know where they are.