She leans into challenging Alcumus drills like a soloist stepping onto a tiny stage — enthusiastic, precise, and slightly dramatic. Daily mixed-problem sets are met with calm efficiency; calculations land exactly. Her Pythagorean fluency sings: she safely dismissed 5 as a leg when guarding the hypotenuse, squares, subtracts, and extracts roots with arithmetic confidence, finding missing sides without hesitation. Prompts to add consistent units and fuller written justifications were welcomed; when asked for more verbal insight she obliged, narrating each algebraic step and sketching a neat, labeled diagram. Diagrams improve clarity, and her quick, tidy labels anchor reasoning. Verbal reasoning is transferable — she explains why she chose each move, not just how. I will nudge her to standardize proof recording: include units every time, state assumptions, and close with a sentence linking computation to conclusion. Overall, she shows a secure conceptual grasp, demonstrable fluency, and readiness to tackle richer problems. With modest tweaks to entries and a bit more polished exposition, exemplary outcomes are ahead — cue the curtain and another confident performance. I recommend brief daily reflections on strategy choices and a weekly goal to write one full proof with units; this will sharpen form and foster pride.