Hello, guys! I'm a Kassadin OTP since season 10. I'm happy to present you a complete Kassadin scaling monster guide that I've discussed with Dawidsonek, a former pro player that used to main this champion and has had multiple 1000+ LP EUW accounts at once (season 11).
In the early game, you wanna let your enemy push minions into your turret. Your champion is made for farming under it since you've got some free damage and an auto attack reset on your W. If your opponent comes too close, you can trade with him pretty well. Utilize your Passive and surprise them with walking through the minions.
Mid game
In the midgame, you can start figthing and roaming as you have any mobility. You should split push a lot though so you quickly get your powerspikes. At this point you should deal a lot of damage to enemy Turrets. Don't forget you can always join a fight whenever your Teleport is ready.
Late game
In teamfights, you should definitely flank your opponents. With the Crown of the Shattered Queen you can engage, but you're definitely perfect at it so it's better to wait for the engage if you can. Also, you can keep splitpushing, but in later stages of the game you may need a Teleport to not lose an important objective.
Runes
You've got a lot of runepages that you can use on Kassadin.
Fast scaling: most gold-efficient playstyle with gold income runes and free items. Take it if you wanna scale fast.
Snowballing: take these Runes if you're confident you're going to demolish your enemies
Lane-oriented: you can take these Runes whenever you can hard win any any matchup or if you can't survive one without it.
Important note #1: no matter the matchup, you always take armor in your runes.
Important note #2: no matter what Main Path you're using, you can always take every Second Path you want.
Fastest scaling
Snowballing
Lane-oriented
Heavy scaling
Summoner Spells
You almost always play with Flash and TP. Flash has an insnane synergy with Kassadin's E and R (you can do E-Flash and R-Flash combo to surprise your enemies). Taking Ignite is almost never worth it but if you're smurfing that may be a way to go.
Almost always
Smurfing
Skill Path
You can max Q or E but you need to have your E maxed at level 13.
Q is for AP matchups and poke.
E is for wave control (or against enemies that spam their abilities).
If you have mana problems, you can always use Lunalina's W second max.
Also, you can start with your W in a melee matchup. Auto + W deals 50% HP damage at level one!
AP Matchup
AD Matchup
LunaLina's W second max
Kassadin
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Mythic options
Crown of the Shattered Queen fixes the biggest Kassadin's issue; being squishy and melee at once.
Everfrost gives you some hard CC and general utility for your team.
Luden's Echo provides you the most of damage of all Mythic Items.
Builds
Important note #1: don't buy Ionian's Boots of Lucidity if you have an Ultimate Hunter rune.
bad guide does not explain when to use certain runes for which matchup or explains what matchups is best when to take ludens vs crown vs everfrost. very surface level and feels like the guide maker himself does not know by expeince.