This Brand build is meant to capitalize on teamfights, and split-laning effectivity. This is a personal build, you can improve it anyway you'd like.

These are meant to capitalize on casting, and AP.

AP Variation:

Sorcerer's Shoes: Movement Speed, and MP

Rabadons Deathcap: High AP, means high burst and easy takedowns.

Lich Bane: Movement speed, Magic Resist, and AP. What more could you need?

Void Staff: WONDERFUL at destroying tanks.

Nashor's Tooth: Great for MP regen, that low Attack Speed, and MORE AP!

Guinsoo's Rageblade: The final piece to the puzzle. After this item you're pretty much ready for any teamfight... except a 2 v 5.

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Spellvamp/AD Variation:

Sorcerer's Shoes: Movement Speed, and MP

Rabadons Deathcap: High AP, means high burst and easy takedowns.

Hextech Gunblade: Spellvamp, AD, and a nice little "Just low enough to kill" ability.

Lich Bane: Movement speed, Magic Resist, and AP. What more could you need?

Guinsoo's Rageblade: The final piece to the puzzle. After this item you're pretty much ready for any teamfight... except a 2 v 5.

Nashor's Tooth: Great for MP regen, that low Attack Speed, and MORE AP!

MAIN SPELLS:

Ignite: Double that afterburn, make sure they drop like flies!

Exhaust is another option if you feel you don't need ignite.

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ALTERNATE SPELLS:

Ghost: For a quick entrance, or a graceful leave. Brand doesn't need to take all the flak, his true nature is to deal damage.

Heal: If people are playing Karthus this MIGHT be a good idea to prevent him from killing you, considering Brand's default squish factor I'd get it just it case.

As I said this is a personal build for my friends to see, some pro's might disagree with it. I play LoL for fun, not for srs business. It's just a game. :)

I gave a random sequence, Brand is situational with his needs. I normally start with Pillar of Flame, I do sear if there's a lot of melee champs on the enemy team.