Ally, Ally, listen — she solved the Pythagorean Path. On a 7×7 grid, she danced from point to point, each step a statement: √10, 5, √10, √10. She spotted that √10 is a 1–3 right triangle and 5 is 3–4; she computed Δx, Δy and Δx^2+Δy^2 for every segment, matching 10 and 25 without hesitation. When point order hid the route, she permuted logically, excluded impossibilities, and found a single continuous path connecting the five coordinates in the required order. Her work is explicit — coordinates, calculations, and justifications — precise, elegant, and confident. Spatial reasoning, measurement understanding, and procedural fluency shine. She extends curiosity beyond the task, pursuing longer paths and generalizations. Recommend enrichment: design larger-grid Pythagorean chains and proofs of existence. This pupil's methodical creativity makes mathematics delightful — exemplary, rigorous, and thoroughly impressive. Parents and teacher applaud her curiosity and steady work ethic; continue to challenge, support.