Amumu Jungle

Your first clear is steady rather than fast, so route for mana rather than racing a timer you will lose. Despair (2nd) and Tantrum (3rd) clear camps comfortably, but watch your mana, because an empty bar means no gank and no escape. Finish the rotation and take scuttle, which puts you on level five with your ultimate up. Once the camps are respawning, that is your window to walk at a lane: the gank is real the moment Bandage Toss (1st) lands, and the stun chain usually finishes it. Clear again when the camps are back and repeat. Be careful at scuttle, since a strong early duelist will simply out-damage you over the crab, so contest with your laners nearby or give it up and farm. Track the enemy jungler, ward your own buffs, and accept that this phase is about surviving until you matter.

Curse of the Sad Mummy (Ult) changes your role as soon as teams begin grouping. A clean Bandage Toss (1st) onto their carry, then the ultimate landing on the whole group, is the cleanest objective trade there is, so contest when your team can follow up. If the fight looks even, take Herald and trade away the dragon rather than throwing your ultimate into a coin flip, though a team built to hold long fights is a reason to play for soul instead. You can also invade, because your percent-health aura and area damage win a counter-jungle skirmish when you bring a teammate. Path toward whatever spawns next, since your tempo comes from setting up fights rather than out-clearing anyone. Late game Amumu exists for teamfights, so stop hunting solo plays and position for the one engage that wins the fight. You cannot catch anyone in a footrace and you do not want to duel a fed carry alone, so play around vision and find the angle where your ultimate hits the most people. Baron and the late dragons are ideal: the space is cramped, the enemies are clumped, and one engage into their backline can end the game on the spot. Hold the engage until your team can actually follow it, because a wasted ultimate usually means dying and watching the rest from the death timer. Build to survive the burst long enough to land the throw, and let your team do the killing.

You are the engage, and almost nothing else matters until you commit it. Find the flank or the choke where their carries are stacked, go in with Bandage Toss (1st) or Flash plus ultimate, and lock the whole group while your team collapses. Despair (2nd) keeps draining everyone standing next to you, Tantrum (3rd) keeps hitting the cluster, and your damage reduction lets you hold the middle of the fight instead of melting in it. The hard part is timing: engage a beat too early and you are alone, a beat too late and the carries have scattered. Get it right and Curse of the Sad Mummy (Ult) is the most decisive single button a jungler can press.