I know we can do much better on this one. Please go sirs.
Some more scoring info:
Clearing 1 face: 50 points
Clearing 2 faces: 300 points
Clearing 3 faces: 900 points
1 face block out: 500 points
2 face block out: 3000 points
3 face block out: 9000 points
You also score points for hard dropping pieces: points = (size of piece) x (height dropped)
I'm no puzzle expert, but my general strategy has been this:
On Round 1 I try to build 3 faces high and hope for a 3 face block out (9000 points). If I don't get the block out I still get 900 for clearing 3 faces. If I can't get the 1st block out, I still try to build for the 2nd, but if that doesn't work then I stack as many pieces as possible on the screen until the last possible moment, then just clear the last 3 faces...a little bit of point pressing worth a few hundred points.
On Rounds 2 - 5, I just try for 2 or 3 face clears. I look for 2 face block outs because those are still worth significantly more than just a 3 face clear (3000 vs 900). 3 face clears are harder to come by since the line piece becomes more rare and otherwise you have to build a specific way for the L piece.
On the bonus rounds you want to build as fast as possible, hard dropping as much as possible. I've gotten 14 clears on the first bonus round and 15 on the second (how).
Round 6 is actually a good round for points...the RNG lends itself to a lot of 1 face block outs and you can easily build for 2 face block outs as well.
Rounds 7 - 9 I still aim for 2 face clears. Round 10 can be a problem if you get too many cross pieces, but shouldn't be too bad. From Round 11 onward I'm winging it...
Adding to what Barra said earlier about getting points based on the round number, the following table shows what your base score would be just for clearing each round. My 166k score ended on Round 16, so you can see I scored about 45k over the base Round 15 score of 120,000.
Round 1 1,000
Round 2 3,000
Round 3 6,000
Round 4 10,000
Round 5 15,000
Round 6 21,000
Round 7 28,000
Round 8 36,000
Round 9 45,000
Round 10 55,000
Round 11 66,000
Round 12 78,000
Round 13 91,000
Round 14 105,000
Round 15 120,000
Round 16 136,000
Round 17 153,000
Round 18 171,000
Round 19 190,000
Round 20 210,000
Round 21 231,000
Round 22 253,000
Round 23 276,000
Round 24 300,000
Round 25 325,000
Round 26 351,000
Round 27 378,000
Round 28 406,000
Round 29 435,000
Round 30 465,000
Round 31 496,000
Round 32 528,000
Round 33 561,000
Round 34 595,000
Round 35 630,000
Round 36 666,000
Round 37 703,000
Round 38 741,000
Round 39 780,000
Round 40 820,000
Round 41 861,000
Round 42 903,000
Round 43 946,000
Round 44 990,000
Round 45 1,035,000
Round 46 1,081,000
Round 47 1,128,000
Round 48 1,176,000
Round 49 1,225,000
Round 50 1,275,000
Round 51 1,326,000
Round 52 1,378,000
Round 53 1,431,000
Round 54 1,485,000
Round 55 1,540,000
Round 56 1,596,000
Round 57 1,653,000
Round 58 1,711,000
Round 59 1,770,000
Round 60 1,830,000
Round 61 1,891,000
Round 62 1,953,000
Round 63 2,016,000
Round 64 2,080,000
Round 65 2,145,000
Round 66 2,211,000
Round 67 2,278,000
Round 68 2,346,000
Round 69 2,415,000
Round 70 2,485,000
Round 71 2,556,000
Round 72 2,628,000
Round 73 2,701,000
Round 74 2,775,000
Round 75 2,850,000
Round 76 2,926,000
Round 77 3,003,000
Round 78 3,081,000
Round 79 3,160,000
Round 80 3,240,000
Round 81 3,321,000
Round 82 3,403,000
Round 83 3,486,000
Round 84 3,570,000
Round 85 3,655,000
Round 86 3,741,000
Round 87 3,828,000
Round 88 3,916,000
Round 89 4,005,000
Round 90 4,095,000
Round 91 4,186,000
Round 92 4,278,000
Round 93 4,371,000
Round 94 4,465,000
Round 95 4,560,000
Round 96 4,656,000
Round 97 4,753,000
Round 98 4,851,000
Round 99 4,950,000