| Criteria | Exemplary | Proficient | Developing | Beginning |
|---|---|---|---|---|
| Logical Structure | Proof follows a flawless logical sequence with every step justified. | Proof is logically sound with most steps properly justified. | Some logical gaps or unjustified steps in the proof. | Proof lacks logical structure or coherence. |
| Theorem Application | Correctly applies all relevant theorems, postulates, and definitions. | Applies most theorems correctly with minor errors. | Misapplies some theorems or omits key ones. | Does not apply or reference appropriate theorems. |
| Diagram & Visual Support | Diagram is precise, fully labeled, and clearly supports the proof. | Diagram is present and mostly accurate with key labels. | Diagram is incomplete or contains labeling errors. | No diagram provided or diagram is incorrect. |
| Mathematical Language | Uses precise geometric vocabulary and proper notation throughout. | Uses appropriate vocabulary with minor notation issues. | Vocabulary is informal or notation is frequently incorrect. | Lacks mathematical vocabulary; uses everyday language only. |
Related Mathematics Templates
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