Follow build order, farm, kill enemy. Your primary farming skill is your W, which absolutely melts minions, especially with Sunfire. This build is very strong early and mid game, as you will be raking in gold and be able to build up very fast, and is still a contender late game. You can swap out Merc's for Tab's if they have a lot of AD champs. You can also swap out Madred's for Blade of the Ruined King if you're in 3v3. The build works awesome with both. Warmogs is also an option over Frozen Mallet, however, I like the passive on Frozen, so I never do. If you're really feeling adventurous you can try out an Atmans over the Madreds, however, I would only do this if you get Warmogs over Frozen, as otherwise it wouldn't be worth it. That is just an option, however, but again, I would stick with the primary build. Blood Thirster can also be used over Madreds or Ionic.

Basically the point of this build is to make a tanky Shyvana with attack speed items, which reduce the cooldown on her Q. I chose these items because they work well with her W, which does great damage, and works as a great chase skill too. You wont be bursting down enemies hardcore, but you will be very tough to kill and can pretty easily win just about any solo fight. In 3v3's I often can tank the whole enemy team and pick up at least 1 kill. Haven't gone negative on this build once. The nice part too is that this build has quite a bit of team utility, as you do consistent AOE damage. Especially since Madreds, Wits, and Ionic all give you attack speed, which means you will be triggering Ionic fairly quickly. Also, your Ult turns your Q into an AOE attack also, so it all ties in rather well. You also have decent AD, which makes you somewhat of a hybrid champ, dealing mostly magic damage.

I would go into more about lane mechanics and jungle, but honestly, it's not too different than any other champ. If you can't figure it out, me explaining it won't help.

Side note, the total stat tally for this build is wrong, I don't know how MobaFire messed it up. You should have about 3900 health, 200 AD, 180 Armor with ult passive, and 160 MR from full stack of Wits.