How to even floor

[detroitreds]

I'm not sure what the proper term for this is, but I have a slab, which has a drain in the middle. Some spots trap water (like an upside down frisbee...not a crack or hole). An example might be a 2 X 2 ft2, 1/2" deep in the center. I can squeegee it out, but I'm looking at leveling it out. Should I be looking for an overlay, even though I'm only looking at filling those spots before grinding everything off to a even floor? I'm just afraid that some patches might "sit" on top of the existing floor, rather than bond with it.

Also, 1/3rd of the slab has cracked from 1 end to the other and has settled at an opposite angle, making the water drain to the wall instead of the drain in the middle. I have no expansion joints. Any ideas to fill that section so that it slants toward the middle drain?

 

[bdamico]

read a couple of pages -- think this was just covered yesterday and it is covered every couple of weeks

 

[detroitreds]

I had looked at the few pages, and used the search feature for the most part.

I see differences of opinion, which I probably will get here as well (hence a forum ). Should I use a primer for where puddles remain? If so, what type? Some just say that all concrete mixes are the same, some suggest latex.

I am not willing to mudjack the "fallen" section of the slab. Are there any alternatives to that (or pouring a new slab)?