Ziggs is a champion who need farm so don't get outfarm in early game. You will also have a very quick wave clear. He's very squishy so care ganks and poke. It's really a champ who can carry a game if there's a tanky frontline in your team cause you'll probably get focused. He got high range spell, an escape and a slow, the perfect combo to outplay others !

The passive:
It gives you a bonus magic damages on autoattack every 12 seconds and using a spell reduce by 4 seconds the cooldown. That's really nice to last hit more safely. But that's even more interesting when you Q/autoattack 'cause it deals a lot. It also deals more damages against enemy structures.

The Bouncing Bombs (Q):
The spell you will spam with Ziggs ! A lot of damages and a high range, that's the perfect poke spell and you can still use it for safe farm if you don't want to approach too much. But as you don't have the Chalice, don't spam it, you can be easily oom. With a blue buff, you'll be a real machinegun cause it has a small CD.

Satchel charge (Z):
The Zigg's escape. You can use it to jump over some walls (not over every walls!) or under you're turret if the enemy jungler ganks you. But you can also use this spell to bring an enemy back in the fight or instead save one of your mate by pushing an enemy. So care in team fight and don't use this spell if you're not sure to kill cause it has a quite long CD and you could need it to jump out. Little trick: you can jump with the Z and throw a Q back in the air, like this you'll put a bit of poke while you escape.

Hexplosive minefield (E):
It offers a good slow when the enemy want to come to burst you but that's also a good wave clear spell. The mines stay 10 seconds so you can zone the enemy because if he want to come and walk in the mines, you can burst him hard with Q/autoattacks/ignite (if that's a pretty squishy champ without escape as Syndra or Orianna without her shield). With stuff, this spell hurt very hard cause the enemy won't probably walk on only one mine. As the Z, you can use it in case of ganks to slow the enemy so don't spam this spell (16 seconds cooldown!).

Mega inferno bomb (U):
The ultimate nuclear bomb ! It's a really good ult cause it deals so much damages. It also put a pressure on almost all the map because of the so high range of it. In teamfight, if you hit 2 or 3 enemies (or more!) with this spell, it will be very hard for them and they will probably flash out of it or diengage after taking the damages. If you anticipate well the moment the bomb will land, you can also steal a drake or a Nashor and this will be mentaly very hard for the enemy team and very impressive int your team (you will be so proud if you manage to do that ^^). That's one of my favourite ult in League of Legend !