Kayle has always been an under rated and under appreciated league of legends champion. As one that they could never really seem to effectively balance, being an avid kayle fan has been hard pressed for anybody to actually accomplish. Since the last remake of kayle, they made her officially a jack of all trades -- She can literally fill any role at this point. This guide is designed to show you the ropes of kayle and help you know your options with her, defining play styles etc. Its a book guys! Sorry ! 
1. PreGame: Mastery setup and Runes
First, you're going to want to decide what lane you are going to be going into. I currently have 2 main Kayle rune pages and a jungle page. As kayle can do every role, you should be prepared to fill whatever is needed.
If you are playing bot AD:
I run either MS quints, Armor yellows, MR glyphs and Physical reds OR flat AD Seals, glyphs and quints along with Armor pen Marks. These two styles give you the best presence you can achieve in bot lane.
If you are playing Top or mid lane:
I run MS quints, armor yellows, MR glyphs and physical reds. However split pen is a great option, along with Attack speed. I personally dislike attack speed though , as its simple enough to build on kayle.
If you are playing Support:
Typical support runes would do: Gold per 10 Quints and Yellows, and i run scaling ability power blues and reds
If you are playing Jungle:
I find Attack speed to a vital part of the runeset for Kayles jungle. That stated i suggest as much physical damage armor and attackspeed that you can cram into a runeset.
Personally, I run flat HP quints, Armor seals , AD marks and MR glyphs , but that does not give you the fastest clear time.
For your Masteries I find that going 21-0-9 gets you the most benefit, except in some cases where top lane requires more CDR and defensive play -- in which case i would suggest 9-21-0, picking up as much cooldown reduction in both trees as possible.
Size Summoner Spells and Skill order
I personally enjoy Flash Ignite on Top Mid and AD bot lane roles.
As for Support i find Clairvoyance to be a more useful spell than summoner heal , so i typically run that and flash.
As jungle, Flash and smite are obvious. Flash can always be replaced by Ghost, but i don't see the point when you have an on command ghost off of your Heal.
As for Skill order, I suggest prioritizing your E, picking up one level of W at 4 in all roles except support, where priority should be to max your W for obvious reasons.
Item Builds and the Thousands of options
What makes kayle such a powerful champion is her ability to actually counter build against who shes playing against. Most ranged carries are resigned to Infinity edge phantom dancer etc etc with very little play room. So lets dive into this , starting at your top lane and working down.
Top lane:
1. Boots 3xPot
2. Berserker greaves
Decide what role you need to fill -- If you think you should be playing AD or working on dealing primarily magic damage.
Option 1:
3. Wits End
4. Malady
5. Blood Razor
Then optional late game:
6. Infinity Edge/Phantom Dancer
6. Ionic Spark/Gaurdian Angel
6. Black Cleaver/Trinity Force
6. Frozen Mallet/Atmas impaler
Those combinations i have found work best for kayle in the really late phase of the game.
[I]Option 2:[/I]
3. Wriggles
4. Black Cleaver
5. Trinity force
6. Atmas Impaler
7. Frozen Mallet
Option 3:
3. Frozen Mallet
4. Atmas Impaler
5. Warmogs
6. Trinity Force
One important thing to note is that you really should be building against whatever you are being thrown against. Its hard to give a set item build because there are so many items that are fantastic on her in top lane. Maw of Malmortious is fantastic , and should not be neglected for a champion like kayle against a Ap heavy team. I just refuse to put it as a "Staple" item. build when its required.
These builds cover your mid lane build as well -- Just keep in mind if you want to play the magic damage version so you can still force the MR build, then you'll need to be playing on hit as suggested in the first build.
For Jungling...
After zerker greaves (Which always need to be rushed unless you are support)
2. Wriggles lantern
3. Wits End
4. Frozen Mallet
5. Atmas Impaler OR Black Cleaver
6. Build against the enemy team OR trinity force as a staple
For AD ranged..
After zerker greaves...
2. Infinity Edge as soon as possible (First recall should be Pick Axe and zerker greaves)
3. Dorans blade as needed to survive laning phase (No more than 2)
4. Phantom Dancer
5. Last Whisper or Black Cleaver
6. Hextech Gunblade or Blood Thirster
7. Gaurdian Angel
For Support..
Build for what your team needs...
1. Basic support opener (3 ward and charm with pots)
2. Philo Stone
3. Heart of Gold
4. Kages lucky pick (3rd gp5 only if you are ahead)
5. Build the Aura items your team needs be it, zekes herald, locket etc etc...You should always get Shurelias mid game though, that is a required buy.
6. If the game scales really late, consider an attack speed item -- Kayle does decent damage with just one attack speed item. Also, If they are forcing you to ult yourself consider a Hourglass
Gaming Strategy: Top and mid lane
If you are against someone who is a caster who has a poor early game skill set (Most casters) push the advantage at level 1. When they go up for a last hit chase them down with your Righteous Fury. This makes kayle a beyond powerful anti mage in any lane -- She hard counters champions like Vlad in top lane, and virtually every mid mage, with the exception of one or two.
use your ulti to NEGATE the most damage as possible not as a last resort save. baiting a low Hp Ally or being bait yourself is a fantastic idea, as long as you know what you're doing and can follow it up effectively.
If you are going on hit, remember -- malady or Black cleaver is needed -- Your passive is shred but it doesn't cut it late game, so you need either your magic damage or physical damage getting through to your opponents.
Gaming Strategy: AD ranged
The biggest issue with going bot with kayle is having a good support who understands kayle. to be successful in bot lane you need that and a firm understanding of how to run laning phase. Your Righteous Fury (E) Is both your last hit mechanic and your harrass mechanic. That stated, you need to figure out what you want to do initially. Also, if you find yourself zoned, use the splash damage mechanic to pick up last hits that are out of reach, it might push your lane but in the end it is worth it.
Some of the best supports with Kayle need either heavy aggression or heavy healing. Soraka and Sona do very well on the sustain aspect, and Leona and Alistar are the best for aggression. Leonas passive procs off of righteous fury's splash, making this lane extra formidable. plus this lets you do more of the splash last hitting that i outlined for you above.
You want to get to IE as quickly as possible. But unlike most ranged carries you are kind of forced into picking up zerker greaves first because kayle does scale fantastically with the attack speed -- More so than other ranged carries. Your damage comes from righteous fury which gets up to 60 extra damage at level 5. this is essentially a BF sword on your auto attack harass.
You want to play off of your level 2 burst to establish lane dominance. Kayle scales very hard if you can just establish lane control -- Her burst at 2 is one of the highest any AD ranged can compete with. For this reason, you can see the benefit of Leona or Alistar. If the burst is unsuccessful, you can see the point of a sustain support. you will pay for quite a few of your last hits when you are forced to melee range in denial situation.
Gaming Strategy: Support
As a support you have many options. You can force aggression early, or play it passively depending on what AD ranged you are with and what his style is. Abuse the movement speed buff to force your engagements -- Remember you have 2 AD ranged in bot lane if you pick up your E early.
Don't ult late -- Use it to deny the most damage. Kayle is also fantastic at not getting ganked -- The movespeed buff is forever useful. You also are practically immune to 2v4's on your own tower if you play your cards correctly. Keep the map aware, and if you have taken clairvoyance like suggested you will be in the drivers seat most of your laning phase.
Gaming Strategy: Jungle
Her jungle is fairly tricky, though she can clear it incredibly fast she does need a considerable amount of help early. She also is pretty blue dependent -- Its imperative that you do not allow her to get counter jungled because it will seriously hamper her jungle speed.
Your level 2 burst for a gank has a really great potential for ganks. Any over extended lane typically dies if you can get into position. That stated, Ganking at level 3 gives you the movespeed buff to help you get into a more efficient position to gank
Either way her jungle isn't fantastic, and won't keep up with quite a lot of the current god tier speed junglers that are running the game. I can't suggest this in MOST ranked scenarios as a viable way to play. It doesn't do poorly, but there are better choices.
Conclusion and role viability
I personally feel that the strongest positions for kayle right now, is AD bot lane. It doesn't straight up lose to any match up, in opposition to getting counter picked in other roles.
Top Mid and Support all are of equal viability -- in most top matches Kayle can do Alright in top lane and mid lane against most champions, and hard counters a handful. there are a few matchups though, that can be lost at champion select. Its very difficult for a Kayle to beat a Pantheon for instance.
Jungle is tricky and for what she can pull off on jungle times with the correct rune set you can get almost effortlessly on mundo or Shyvanna. If you are looking for a efficient jungler in all situations, this is not your champion. Her jungling is more of a Niche manuever , she can do well if they pick an arbitrarily slow jungler like rammus, or go unorthodox as well. Her jungle times and utility that she can bring to a game is sometimes worth the cost of a slightly slower jungle. Either way , I will say that Kayles jungle is the least viable place that you can currently play her.
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