As far as that specific guide goes: ranking q gives you nothing but damage, while ranking w gives you damage PLUS extends the duration of the silence. Plus w is easier to land. So generally you'll get better value from going w>q>e, though that also changes in lanes where you can push people around with melee attacks and maxed e.
Likewise, Rod of Ages as a first item works if you're in a lane where you can get away with farming, playing safe, and waiting for it to stack. If you're in a lane that you lose from the start, you're better off focusing on items that give you impact earlier. If you're in a lane where you're absolutely just farming and neither of you can kill the other, philosopher's stone and heart of gold as your first buys are really really good. Starting Doran's ring is good for mana regen if you're sure you're going to be safe, but good opponents will see it and gank you early, when you're too slow to get away and need to farm to recover health.
Masteries...4/4 in +ap is bad, especially on a champion with melee autos. You'd be much better off with points in brute force and summoner's wrath, and in any lane you can do well in ignite is much stronger than teleport - especially in low-level games where your teammates aren't warding and you can't gank via teleport.
Basically the guide you're using is okay, but it oversimplifies a lot of things, and following it without considering other setups isn't getting you ready for higher level/ranked games at all. If you're having fun with it that's great, but there's a reason that every advice thread on reddit, the league forums, and pretty much everywhere else I've seen suggests avoiding mobafire like the plague.