These are my typical initial paths for each side assuming I'm not given any info that would lead me to change my path or not go for skuttles. If you think you're going to get invaded by looking at the enemy team comp you may want to change it up a bit whether it be starting at the other side of your jungle or just postponing taking your buff camp.
If at any time you see a good opportunity for a gank (i.e. overextentions) use your own judgment and think about doing it based on if it's worth losing the gold you would get if you continued your farming path. Most games will provide opportunities for quick ganks that are in your path and don't make you waste much time at all.
It is not mandatory to clear every camp (this is probably more prevalent with Krugs and sometimes Gromp as they're originally outside of your crystal ranges), if something out of the ordinary happens and you left a camp or 2 - the only thing you should be looking for is the optimal path from the position you're in at the time. The image above is just my optimal path from the position of the very start.
After your first clear depending how long it took / how much gold you have you can decide if you want to gank or start a new path whether it be in your jungle or the enemy's (based on how healthy you are and what information you receive). You can also cut your path short to take some enemy camps if you gather information on the map to know that they're not near or whatever it may be. Usually you want to leave 1 Jungle monster up to deny them unless you think you will be there next time the camp spawns, always clear their buffs unless you really want to deny them. If you back after a standard clear you should easily be able to pick up
+ maybe a
. (buying a
if it's the only thing you can afford before completing
isn't a bad idea to speed up your clears)
Once you've completed your first back you typically will have a similar path to take again unless of course you're interfering in the enemy jungle as well then you'll have to create the paths yourself based on what camps are up and when other camps will be up.
Lane Taxing, Holding and Pressuring
You always want to be on the look out for opportunities to hold or defend lanes. Here are several ways you can do so:
1a. Your laner backing - If the enemy wave is close enough to your laner's turret or you can see that it will be before your laner gets close to the lane and you're in the position to be able to hold it you should look to do that asap as it prevents your tower from taking damage and gives you a lot of gold + xp
1b. Both laners backing - If both laners (ally and enemy) are backing you can reset the wave and give yourself gold and xp while denying the enemy laner. This is situational depending on how the wave looks and how much time you have before your laner returns
1c. Enemy laner MIA - If the enemy laner is MIA and your laner isn't in lane or coming to it, you can push that wave into tower and possibly take more waves while denying. Obviously this is mainly for later stages of the laning phase as that's when laners will typically look to roam.
2a. Your laner dying - If your laner dies this will almost always allow free time for you to take over their lane, pushing/freezing/resetting are your options depending on the scenario
2b. Both laners dying - If both laners die and the timers aren't extremely short the answer is to push the wave supremely and don't stop until you need to or your laner is nearly back; unless you're taking tower, then your laner should help you or roam
3a. Your laner roaming - If your laner is roaming they should let you know asap and you or someone else should hold their lane and push/freeze/reset
3b. Enemy laner roaming - If the enemy laner is roaming you can either leave your laner to push/roam or help them push and/or take towers
3c. Both laners roaming/fighting/clown fiesta - If both of your laners are occupied away from their lane, it's the perfect time to push as fast as you can and get as many waves as you can and possibly some towers. Rarely is it actually worth going to join the clown fiesta
Pushing = Clearing waves and/or hitting towers
Freezing = Only last hitting minions
Resetting = Pushing the wave into enemy tower
If your lane has the minion advantage (is pushing) you usually want to reset it
If the enemy lane has the minion advantage and you don't want to push then you only last hit to continue the denial on the enemy laner
Mid-Late game you'll want to look for opportunities to splitpush lanes, proxy lanes, take towers, take objectives, get picks and possibly teamfight
If this playstyle is executed successfully you should be fed enough to splitpush very effectively to where (usually) no 1 person will be able to stop you, hopefully not even 2 or 3. Most cases you can run get away if people come for you and you're not able to fight all of them.
Ideally you want your team to be pressuring elsewhere if the other team is sending people to deal with you and avoiding fights at all costs if the other team is grouped, so no matter what happens your team will get something out of it. If the other team comes for you it leaves room for your team to take easy objectives while gets some kills or waste their time.