2. Manipulatives provide a concrete representation of foundational math concepts.

3. The meaning of mathematical symbols becomes clear by making the connection to manipulatives.

4. Students use language, symbols and manipulatives to solve everyday problems.

5. Students develop immediate recall of number relationships AFTER building the conceptual foundation.

6. 1Number Sense 2Introduction to Addition & Subtraction 3Ones, Tens & Hundreds 4Intermediate Addition & Subtraction 5Two-Digit & Three-Digit Numbers 6Advanced Addition & Subtraction 7Adding & Subtracting One-digit Numbers 8Introduction to Multiplication & Division 9Adding & Subtracting Two-digit Numbers 10Three Part Addition & Subtraction 11Adding & Subtracting Three-digit Numbers 12Introduction to Fractions 13Intermediate Multiplication & Division 14Unit Fractions 15Non-Unit Fractions 16Not Greater & Not Less 17Improper Fractions

7. Classroom instruction is informed by the status of each student using Symphony Math.