Battle Phase: This is where you mount an offensive stance against your opponent, in hopes to inflicting damage onto your opponent. You can get up to 3 attacks, if you summon 2 front Rear Guards. If your power of your Vanguard or Rear Guard tie with your opponent's Vanguard or Rear Guard, the advantage would be to the turn player. With your Vanguard's attack, you are able to Drive Check. (Unless it's a Grade 3 Vanguard, then you are able to Twin Drive Check.) If you inflict damage to your opponent by "hitting" your opponent's Vanguard, your opponent can do a Damage Check for each damage taken. (If you are able to add a Critical to your Vanguard or Rear Guard. Some cards have abilities to do so, AND if you get a Critical Trigger off a Drive Check, which can grant you more damage if you hit their Vanguard.)
Then, you end your turn.
If you have any questions, leave a comment. Next one will be "Cardfight!! Vanguard - The Basics - Part 4d - Your Opponent's Turn".