This idea is repeated numerous times throughout all three grades. Most Content Use, interpret, and compare numbers in several equivalent forms such as integers, fractions, decimals, and percents. This benchmark receives ample treatment, and students are given many opportunities to use, interpret, and compare equivalent forms of many numbers throughout the material beginning with number grids in grade 6. Equivalent forms of fractions, decimals, and percents are given the most substantive treatment across the three grades. There are a few explicit references to integers and to equivalent forms of exponents and scientific notation.
Shapes can match exactly or have the same shape in different sizes.
This benchmark receives only partial coverage. The material gives ample treatment to the idea that shapes have special properties, most substantially in grades 7 and 8. There are only two implicit references to the idea that triangular shapes tend to make a structure rigid. There is no reference to round shapes and boundary related to interior area. Students are introduced to the concepts of congruence and similarity in grade 6.