"Why Akali in the jungle man, Just... Why?"

When your team needs more damage and the only slot open is Jungle, Or if you just really like playing Akali and you are 4th pick...

Pros
+ Extreme Sustain
+ Massive Burst
+ Very High AoE damage from E
+ Extreme Sustain
+ Is Akali
+ Clear Time is great
+ Extreme Sustain
Cons
- Cannot handle all three lanes failing at once
- Pre-6 Ganks are somewhat hard but not as bad as shyvana/trundle
- Depends on Red early (Who doesn't)
Pro/Con
+/- Runs on Energy

"Why these items? AD-heavy on Akali?"

Special note is that Attack Damage adds Spellvamp to Akali, Tied in with her own Magic-on-attack, She has no problem sustaining in the jungle

• Wraith for Jungle.
• Tiamat/Hydra for Burst
• Cutlass/Gunblade for a ranged finisher and for the slow
• Statikk for the burst and movespeed
• Abyssal for the MR and Aura

Creep Order (standard)

1. Red With Leash
2. Give Away Blue BUT GET EXP
3. Look at lanes, If any are pushed near YOUR tower, Gank them
4. Wraiths
5. Wolves
6. Look at lanes, If any are pushed near YOUR tower, Gank them
7. Wight
8. Take an Enemy Camp OR do small Golems OR Gank a lane
9. Wraiths
10. Repeat until Teamfights begin (Buy Merc Treads Now)

As of season 4 Akali starts red, since they reduced the cooldown reduction granted. You should ALWAYS give away Blue, But MAKE SURE TO GET SOME OF THE EXP.