Standards for School Mathematics, page 35 The development of rationalnumber concepts is a major goal for grades 35, which should lead to informal methods of calculating with fractions. For instance, a problem such as 1/4 + 1/2 should be solved mentally with ease because students can picture 1/2 and 1/4 or can use decomposition strategies, such as 1/4 + 1/2 = 1/4 + (1/4 + 1/4) . . . 
