This is a battle of attrition where you lose the long game if you stay in lane too long. Cho'Gath has massive sustain through P, making your poke less effective, so your primary goal is to utilize R to win other lanes while staying safe.

This is a macro-intensive skill matchup. While Q provides him with superior DPS in extended fights, you have the advantage in long-range poke and superior global map pressure. Both champions want to scale and shove lanes, but you win by influencing the map faster than he can.