Thanks for all the replies!
To answer some questions, the slab will be 12' x 14'.
Location is Charleston, SC...so no frost heaving worries. The house is on a slab...no basement. House was built on a large mound of heavy sand fill.
there is a big BUT here though that I didn't mention in the first post...
There is currently a 10'x10' slab in the location I want the 12'x14' slab. It is right off the back door, and is about a 3" step down from the threshold. This 10x10' slab was poured at the same time as the house slab, and I do not see an expansion joint present. Therefore, I believe that it is all monolithic. I measured the slope of this slab using a laser, and the pad actually slopes in 2 directions. The slope away from the house is ~1/5" per 12", and the slope towards the side of the house is 1/5" per 12". So, the difference between the highest corner and lowest corner is about 4".
My gut tells me to rent a saw, cut the slab as close to the house as possible, demo the 10x10' slab, then grind what is left attached to the house slab as much as possible using my angle grinder. Then I could drill the house slab, insert rebar, and tie that into my new slab's rebar work. I do not know if there is currently mesh/rebar present. Depending on how that works out, I may have to raise the new slab about 1" or so, making a 2" step between the house slab and porch slab. The 1" raise would give me a little thickness over the "stub" of slab that is likely to exist still attached to the house. It is hard to picture how well this idea will work, as I do not know how closely I can easily run a concrete saw to the house. I am guessing the stub I will have left over would be 3-6" wide.
Here are some drawings:
Current Slab and thickened edge of house slab (This is not showing the slope):
Current Slab, cut as close to the house as possible and ground to an angle:
Same image as above, showing the outline of the new slab in black. This shows how for a small section near the door, the slab would be thin, 1" or so tapering outwards:
There is of course a chance that I can using a concrete cutting wheel on an angle grinder and cut more of the slab stub away, but it is hard to know until I start demo. I really wish they had used some sort of joint here, as that would make this a lot easier...but no such luck.
Thanks,
Joe