| Grade Level: |
__ 1 |
__ 2 |
__ 3 |
__ 4 |
__ 5 |
__ 6 |
__ 7 |
__ 8 |
__ 9 |
| Average Age: |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
| WHOLE NUMBER | - | - | - | 3 | - | 3 | - | - | 3 |
| ADDEND (WHOLE) | - | - | - | - | - | 3 | - | - | - |
| ADD AND SUBTRACTION RELATION | 2 | - | 2 | - | 3 | 4 | - | - | - |
| ADDITION (WHOLE) | 3 | 3 | 2 | 3 | 4 | 4 | 3 | - | - |
| ADD BY NUMBER LINE | 3 | - | - | - | - | - | - | - | - |
| ADD BY REGROUPING | - | 3 | - | - | 2 | 2 | - | - | - |
| ADD. COMBINATIONS (WHOLE) | 2 | 2 | 2 | - | - | - | - | - | - |
| ASSOCIATIVE (ADD.) | - | - | - | - | 3 | 2 | - | - | - |
| COLUMN ADDITION | - | 2 | 2 | - | - | - | - | - | - |
| COMMUTATIVE (ADD.) | - | 2 | 2 | - | 3 | 2 | - | - | - |
| DISTRIBUTIVE (WHOLE) | - | - | - | - | - | 3 | - | - | - |
| DIVISION (WHOLE) | - | - | 2 | - | 3 | 3 | 3 | - | - |
| DIVISION BY TEN | - | - | - | - | 3 | 3 | - | - | - |
| DIVISIBILITY | - | - | - | - | - | - | - | 3 | - |
| DIVISION BY ZERO | - | - | - | - | 3 | 4 | - | - | - |
| DIVISION COMBINATIONS | - | - | 2 | - | - | - | - | - | - |
| DIVISOR QUOTIENT | - | - | 3 | - | 3 | - | - | 3 | - |
| ESTIMATING SUMS | - | - | 3 | - | 3 | - | - | - | - |
| ESTIMATING PRODUCTS | - | - | - | 2 | 2 | - | - | - | - |
| ESTIMATING QUOTIENTS | - | - | - | - | 2 | 3 | - | - | - |
| FACTOR (WHOLE) | - | - | - | - | 4 | 3 | - | 3 | - |
| IDENTITY (ADDITION) | - | 2 | - | - | - | - | - | - | - |
| IDENTITY (MULT.) | - | - | - | - | 2 | 2 | - | - | - |
| MIXED OPERATIONS | - | - | - | 3 | 2 | 2 | 2 | - | - |
| MULT. AND DIVISION | - | - | 3 | - | 3 | 3 | - | - | - |
| MULTIPLE | - | - | 3 | 3 | 3 | 3 | - | 3 | - |
| MULTIPLES OF FIVE | 2 | 3 | 3 | - | - | - | - | - | - |
| MULTIPLES OF TEN | 2 | 3 | 2 | - | 3 | - | - | - | - |
| MULTIPLES OF TWO | 2 | 2 | 3 | - | - | - | - | - | - |
| MULTIPLICATION (WHOLE) | - | 3 | 2 | - | 3 | - | 4 | - | - |
| MULT. COMBINATIONS | - | 2 | 2 | - | 2 | 2 | - | - | - |
| MULT. BY GROUPING | - | - | 3 | - | 2 | - | - | - | - |
| MULT. PROPERTIES | - | - | 2 | - | 2 | 3 | - | - | - |
| NATURAL NUMBER | - | - | - | - | - | - | 3 | 3 | 3 |
| PRIME NUMBER | - | - | - | - | 4 | 3 | - | 3 | - |
| REMAINDER | - | - | 4 | - | - | - | - | - | - |
| REPEATED ADDITION | - | 2 | 2 | - | 3 | - | 3 | - | - |
| REPEATED SUBT. | - | - | - | - | 3 | - | - | - | - |
| SUBTRACTION | 2 | 3 | 2 | 3 | 3 | 4 | 3 | - | - |
| SUBT. (TWO PLACE) | - | - | 2 | - | 2 | - | - | - | - |
| SYMBOLS FOR ADDITION | 3 | 3 | 3 | - | - | - | - | - | - |
| SYMBOLS FOR DIVSION | - | - | 3 | - | - | - | - | - | - |
| SYMBOLS FOR MULTIPLICATION. | - | 3 | 3 | - | - | - | - | - | - |
| THREE ADDENDS | - | - | - | - | 2 | - | - | - | - |
| WORD PROBLEMS (WHOLE) | 2 | 2 | 2 | 2 | 3 | 2 | - | - | - |
| FRACTION | - | 2 | 3 | 3 | 4 | 3 | 4 | 3 | - |
| ADDITION (FRACTION) | - | - | 3 | - | 3 | 4 | 3 | 4 | - |
| APPLICATIONS (FRACTION) | - | - | - | - | - | 2 | - | - | - |
| COMMON FRACTION | - | - | - | 4 | - | 3 | 3 | - | - |
| DENOMINATOR | - | - | - | 4 | 4 | 4 | 3 | - | - |
| DIVISION (FRACTION) | - | - | - | - | - | - | - | 4 | - |
| EQUIVALENT FRACTIONS | - | - | 2 | 4 | 4 | 4 | 4 | 3 | - |
| GREATER THAN (FRACTION) | - | - | - | - | 3 | 3 | - | - | - |
| IMPROPER FRACTION | - | - | - | 4 | 4 | 4 | 4 | 3 | - |
| INEQUALITY (FRACTION) | - | - | - | 2 | - | 3 | - | - | - |
| LESS THAN (FRACTION) | - | - | - | - | 3 | 3 | - | - | - |
| LCM (FRACTION) | - | - | - | - | - | - | 4 | - | - |
| MIXED NUMERAL | - | - | - | - | 2 | 2 | 2 | - | - |
| MULTIPLICATION (FRACTION) | - | - | - | - | 2 | - | 4 | 3 | - |
| NUMBER LINE (FRACTION) | - | - | 3 | - | - | - | 3 | - | - |
| NUMERATOR | - | - | - | 4 | 4 | 4 | 3 | - | - |
| ONE HALF | 2 | 4 | 2 | - | - | - | - | - | - |
| PERCENT | - | - | - | - | - | - | 4 | 3 | - |
| PIE APPROACH | - | - | - | - | 2 | - | - | - | - |
| PERCENT NOTATION | - | - | - | - | - | - | 3 | 3 | - |
| PROPER FRACTION | - | - | - | - | 4 | 4 | 4 | 3 | - |
| PROPORTION | - | - | - | - | - | - | - | 3 | - |
| RATIO | - | - | - | - | - | - | - | 4 | - |
| RECIPROCAL (FRACTION) | - | - | - | 3 | - | - | 4 | - | - |
| RELATION TO DIVISION (FRACTION) | - | - | - | - | - | - | 3 | - | - |
| SIMPLEST FORM | - | - | - | - | 3 | 3 | - | - | - |
| SUBTRACTION (FRACTION) | - | - | - | - | 2 | - | 3 | 4 | - |
| WORD PROBLEM (FRACTION) | - | - | - | 2 | 2 | 2 | - | - | - |
| WORD PROBLEM (PERCENT) | - | - | - | - | - | - | 3 | - | - |
| WORD PROBLEM (RATIO) | - | - | - | - | - | - | - | 3 | - |