True, deep understanding of place value is critical for mastery of all other mathematics. These placemats provide a scaffolded bridge between the concrete base-10 blocks and the abstract representation of place value. Grade levels are not identified on these mats so that you can use the one that matches the student's instructional level rather than his/her assigned grade level. The placemats can be used at all levels for the concepts of addition and subtraction of whole numbers as small as single units to the hundred billions place and decimals as small as thousandths, depending on the chosen mat. The base-10 unit, a single cube, is a critical component of understanding our base-10 place value system and is emphasized on all placemats. The patterns found in place value (ones tens, and hundreds; periods, etc.) are color-coded and written in different sized boxes (placemats 3 & 4) to facilitate transfer of these patterns as the complexity and depth of knowledge of the place value concept increases.