You'd think sand would be a good way to loosen clay soil before planting a new lawn. It can be but only in large quantities. A little bit is usually counter-productive.
Sanding your lawn: why, when & how to do it right - Plantura
Improving Clay Soil
Must Reads: The one gardening mistake you can't afford to make - Los Angeles Times
Screened Topsoil Organic Garden Mix Better Earth Compost, 55% OFF
How to Have a Perfect Lawn
Week 2 Challenge
Restore a Backyard With Dead Soil (Before and After) : 9 Steps (with Pictures) - Instructables
Establishing a New Lawn Using Seed (E2910) - MSU Extension
Kellogg Garden Organics 2 cu. ft. Topper Lawn Soil for Seed and Sod 653 - The Home Depot
Can I Mix Left-over Sand Into My Soil Before Planting New, 59% OFF
Why Your Garden Needs Mulch (Assuming You Do It Right) - The New York Times
3 Steps to Take Before Planting Grass
Preparation for Turfing or Sowing Grass Seed