ACARA v9 homeschool report, age 13: I smiled and solved the Pythagorean Path. In a 7×7 grid I traced five marked points into one shimmering continuous path. The segment lengths, in order, matched √10, 5, √10, √10 — because I recognised √10 as 1-and-3 moves and 5 as 3-and-4 moves. For each segment I computed Δx and Δy, then Δx^2+Δy^2, proving the squared distances were 10 or 25. When the order was unknown I tried permutations, pruning impossible links with clear logic. This produced an elegant path whose coordinates and computations were explicit. Spatial reasoning, measurement fluency and procedural skill shone. I annotated work with Pythagorean theorem steps and suggested enrichment: generalise to longer chains and write a short search algorithm to enumerate valid paths. Curious, rigorous, delighted — exemplary practice aligned to ACARA v9. Teacher notes: include coordinate diagrams, stepwise checks, and optional Python starter code for investigation.