Elo 1000 to 1300

Tactics

Probably the most noticeable difference is tactics. Noticing and calculating forcing moves is going to be more habitual for a 1300 player. Simple 1 and 2 move tactics like fork, pin, skewer, removing the defender, and discovered attack are going to be missed much less often. When there are multiple moves that capture or check, the 1300 is more likely to compare them to see which might win more material.

Also basic strategy like rooks on open files, knights on outposts, bishops on long diagonals. Not because it's attacking anything, just for the sake of piece activity. I imagine a 1000 rated player may not see the value of a move that isn't directly attacking or defending something (at least not as often as a 1300 player would).

A 1000 rated player may still be habitually counter attacking instead of being willing to defend or make a quiet move. If you as a 1000 play a move to threaten a 1300's pawn, knight, rook, etc then the 1300 is more likely to defend or retreat the piece than a 1000 rated player is. Maybe another way to say this is the 1300 is more aware that even losing a pawn is important.

A 1300 probably has more experience, so will know basic relationships like it's impossible for a knight to fork a king and rook if the king and rook are on opposite colored squares. They're more likely to create luft before leaving the backrank undefended. They're more likely to be sensitive to the fact that their king and queen are lined up on the same file or diagonal so that an opponent's rook or bishop may pin or skewer even if at the moment there are some pieces in between. Stuff like that I'd imagine.

Anyway the basic areas are openings, tactics, strategy, and endgames. To improve pick one of those areas and work on it (although openings have limited value past knowing the first 5 moves, don't go nuts and try to remember 10 move deep GM lines, it's not necessary).

how can we improve our tactics

The tactics trainer on chess.com does not seem very useful at this level. It would be better to see puzzles grouped together by theme. So you'd have many puzzles with a pin, then many with a fork, etc. That way you get a better feeling for how that kind of pattern works. (and some of the chess.com puzzles aren't even pattern, it's just capture an unprotected piece, which isn't even a tactic).

I've seen this book recommend in the forums before. I think it looks really good:

https://www.amazon.com/Back-Basics-Tactics-ChessCafe-Chess/dp/1888690348

Thank you guys! I think a lot of these points will be useful.

What do mean by cheater? Lol

Nice post #3, <TheChin>

1000 to 1300 = stop making blunders 

300 elo points