The point of this deck is to play as many minions with Spell Damage as possible and then hit your opponent with buffed Fireballs. Potentially, you can set up around +10 Spell Damage on board, which will make each of your Fireballs deal 16 damage.
There are a few other cards that should help you clear the board, such as Shooting Star and Arcane Explosion. While cards like Vex Crow and Arcane Artificer will generate value in the form of additional minions and armor.
If you manage to build up the board and keep it intact until you have your biggest spells in hand, then you should be able to win easily from there on.