Skills to improve on to help climb:
Map Awareness
Ward placement
Rotations
Build adapting
Making trades
Lane pressure (freezing, pushing, and bullying)
Reading enemy behavior
Champion Knowledge
For most of these, checking out some youtube guides and tutorials will help give a better idea on them
Map awareness
Check the minimap every 10 seconds. Seriously. Focus on seeing where enemies are. If you see enemy jungler top, you can somewhat figure out how long till they get mid. You also know which side of river bush to ward. Knowing where the enemies are also makes it safer and more effective when you roam. 2 top, make it a 3v2 there, or a 3v2 in botlane.
Ward placement
It seems small, but there's usually better places to put them. It varries based on the enemy team (pesky Lee Sin gank paths), but there's general guides available on youtube.
Rotations
This one takes more time to learn to do properly. For example, if you bully your lane opponent out, it's often beneficial to push the wave into turret and then move to botlane to try to get a kill there. If you can't hardpush before roaming, try to get it to at least reset the wave so you're not disadvantaged when you return.
Build adapting
This one is pretty simple, but still catches a lot of newer players. It mostly depends how well you handle early laning. Getting bullied hard and know it'll get worse? Build something that gives defensive stats on top of your offensive needs. Zhonyas or Abyssal Mask are examples for mages. You also don't need to build Sorc shoes every game. Sometimes Merc Treads or Ninja Tabi are the better options. Magic pen doesn't help you when you're not alive long enough to deal damage.
Making trades
When your enemy walks up to kill a minion, you can often attack them or use an ability on them. They can either take the minion and gold with it, or turn to you and miss out. This is one that needs practice, and is largely dependant on champion lane matchups. If you can get damage off without taking any back consistantly, it's bullying. This can lead to easily winnable lanes, but also open you up to ganks from the enemy jungler or roaming laners.
Lane Pressure
Learn how to properly freeze a minion wave, and when to do it. Freezing a wave on your side of the lane makes it harder for the enemy jungler to gank, as they have less paths to do it from without being noticed. It also lets you stay near your own turret, where it's sometimes a bit more safe.
Hardpushing against someone with low waveclear lets you recall and buy, or make a roam without being punished too harshly. If the enemy can push back, you'll just lose a lot of cs to your turret. This is less relevant if your roams pay off, but it's a risk vs reward paradigm that doesn't pay off that often.
Reading enemy behavior
Every player is different. But just like in poker, many players have tells.
Enemy playing really passive and safe suddenly decides to appraoch the minion wave to farm? Jungler might be nearby.
Zed lets you move up without him bullying you? His ignite might be back up and he's ready to all-in you.
Champion Knowledge
Play everyone for a game or two, even if it's bots vs AI. It helps immensely in understanding how they work, and what their kits might be weak against, and also strong against. This helps in champion select to pick advantageous matchups, all the way to more advanced things like trying to time enemy ult cooldowns.
