Go to Battle arena from the main menu and choose Free for all.
Here you should pick P1 vs CPU vs CPU vs CPU because this gives you more chance to get the required points for the achievement.
Then pick your favorite Bakugan and put your health to 3 health stars and your opponents to 1 health star to make the match easier.
Now you should try to destroy your opponents as much as you can to obtain 250 or more points.
You get 1 point for each hit and ability cards gives you more points.
After you get 250 points the achievement will unlock.
*Credit goes to Sakura460 from x360a*