{"id":"study2-geometry-three-hint-ladder","audience":"high-school","category":"studying","technique":"constraints","track":"study","level":"intermediate","title":"Get three hints on a triangle problem, not the answer","free":false,"task":"You're stuck on homework and want a tutor, not an answer. Get exactly three hints labeled Hint 1:, Hint 2: and Hint 3:, each more specific than the last, under 90 words total, plain text. Never state an angle value or the solution.","materialLabel":"Your problem and your work so far (attached to your prompt automatically)","material":"GEOMETRY HOMEWORK - Problem 7\nIn triangle ABC, angle A is 48 degrees. Angle B is twice as big as angle C. Find angle C.\n\nMY WORK SO FAR:\n48 + B + C = 180\nI said B = C because they're both \"the other angles,\" so 48 + 2C = 180, and then 2C = 132, so C = 66.\nThat doesn't feel right, because the picture shows B looking much bigger than C.\n\nMr. Tran's reminder from class: \"Always write what each letter stands for before you start.\"\n\nDue tomorrow. Please don't just do it for me, I want to be able to do these on the test.","rules":[{"type":"maxWords","max":90},{"type":"plainText"}],"mistakes":[{"title":"Asking for help solving","why":"The AI solves the problem, so you learn nothing for the test.","fix":"Say: \"Give hints only. Never state an angle or the answer.\"","checks":["r1"]},{"title":"No hint ladder","why":"Without labels, hints come as one lecture.","fix":"Say: \"Exactly three hints labeled Hint 1:, Hint 2:, Hint 3:, getting more specific.\"","checks":["r0"]},{"title":"Ignoring your mistake","why":"The AI may restart from scratch instead of spotting your B = C slip.","fix":"Add: \"Point me toward the mistake in my work.\"","checks":["r2"]},{"title":"Trusting the AI to count words","why":"AI is bad at counting. Ask for a total and it often lands 20% over.","fix":"Cap each part: \"each line under 12 words.\"","checks":["maxWords"]},{"title":"Forgetting where it's going","why":"AI formats for a screen, with bold and headings that show up as stray symbols.","fix":"Say: \"Plain text, no bold, no headings.\"","checks":["plainText"]}],"promptHints":[{"label":"Asks for hints only","patterns":["hints?\\b","don't (give|solve)","not the answer"]},{"label":"Sets the hint count and labels","patterns":["\\b(3|three)\\b.{0,15}hint","hint 1"]},{"label":"Says never state the value","patterns":["(never|don't|do not|no).{0,30}(value|answer|solution)"]},{"label":"Points to my mistake","patterns":["mistake","my work","went wrong"]},{"label":"Sets a length limit","patterns":["\\d+\\s*words","under \\d+"]}],"hint":"A good tutor hint is a nudge. Ask for a ladder of hints that gets stronger, forbid the answer, and point to your work.","mission":"Get tutor hints on a problem without the answer.","musts":["Three labeled hints","No angle values","Point to my mistake"],"rubricLabels":["Has exactly three hints labeled Hint 1:, Hint 2: and Hint 3:, in that order","No hint states the value of angle B or angle C (44 or 88), or a finished equation like 3C = 132","At least one hint points out that B and C are not equal because B is twice C, and the hints get more specific from Hint 1 to Hint 3"]}