Heat oven to 400 degrees. Mix shortening, 1 1/2 cups sugar, and eggs. Beat until light and fluffy. Blend flour, cream of tartar and soda and salt and stir into dough.
Shape dough into 1 inch balls. Roll in mixture of sugar and cinnamon. Place 2 inches apart on ungreased baking sheet. Bake 8 to 10 minutes. The cookies puff up at first, then flatten out.