It's me again.

Yes, HOD uses Singapore Math (though you could substitute something else if you wanted to). Singapore Earlybird Math has been going well for my 5 year old. Carrie provides great hands-on math exploration activities in the Little Hearts, Beyond, and Bigger guides (at least I think Bigger has them) to tie-in with the math workbook activities.
I used The Reading Lesson for phonics because my daughter was only 4 and I heard it was a good program for the younger set. It was! We took it super slow, two pages a day so she wouldn't get burned out. I loved it. She's reading very well and I haven't used any other phonics program with her. I don't have any experience with the other reading program, but I know others here have been happy with that, too. I'm completely happy with TRL and will use it again when my younger is ready.
The programs would work just fine with a three day a week schedule. You just pick up where you left off! Preparing Hearts and the later guides are on a 4-day per week schedule anyway, leaving time for enrichment or other activities.
I really have enjoyed HOD - being a newbie to homeschooling, I LOVE the way everything is planned out. I honestly don't do any planning, other than making sure I have crayons and glue and construction paper in the house. I open the guide and say, "Ok girls, let's see what we're doing today!"

Carrie really seems to have thought of everything.
