rotating between muscle groups during workouts

OK, so ive done a little research and every routine ive seen has consisted of two consecutive exercises from the same muscle group, for example, a bench press then flies. well a couple weeks ago at the gym i tried a dumbbell shoulder press, followed by a lateral , did about three reps of those and then failed, so i decided to do some shrugs, followed by a seated dumbbell chest press, and tricep pulldowns, and then the lat raises,flies, lateral rows, and a french press.

Is that okay, to rotate muscles during a workout? like do chest, then upper back, then biceps,then shoulders or something to that effect? i plan to do stuff with cables and barbells in addition to dumbells, so it doesnt become static, as well as a S***ton of cardio, but whats the best approach
 
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