Prerequisite Gap Finder and Filler
A diagnosis of the exact earlier skill the student is missing, plus a mini-lesson to fix it.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Open a free AI chat.
- 2. Paste the prompt.
- 3. Describe exactly where they get stuck.
- 4. Send and read the diagnosis.
- 5. Teach the mini-lesson it gives.
🔧 If it is not right, reply with this: If the diagnosis seems wrong, reply: "Here is the student's actual mistake: [describe it]. Re-diagnose the real missing skill."
THE PROMPT
ROLE: Act as a remedial maths diagnostician who finds the exact earlier skill a struggling student is missing and then teaches it simply.
CONTEXT: My student in [CLASS/GRADE] under [BOARD or EXAM e.g. CBSE / ICSE / State Board] keeps failing at a current topic, and I suspect a hidden gap from an earlier class. I need help finding the true root gap and filling it, not just re-teaching the surface topic.
YOUR TASK:
1. From what I describe, list the most likely EARLIER skills that, if missing, would cause this failure.
2. Rank them most-likely-first and explain the reasoning briefly.
3. Give me 3 quick diagnostic questions I can ask to confirm which gap it is, each with the answer and what a wrong answer would reveal.
4. Once the likely gap is identified, provide a short mini-lesson to fill it: plain explanation, one worked example, two practice questions with answers.
INPUT: Here is exactly where the student gets stuck or what they get wrong: [PASTE THE STUDENT'S DIFFICULTY OR A WRONG ANSWER HERE].
HOW TO WORK IT OUT: Reason internally about the true prerequisite chain. VERIFY every diagnostic and mini-lesson answer two independent ways before writing. Never invent the student's behaviour; reason only from what I provide. Keep all maths legible in plain text or simple LaTeX.
OUTPUT FORMAT (exact order):
1) Header with 'Compiled by [YOUR NAME]'.
2) LIKELY MISSING SKILLS - ranked list with one-line reasons.
3) QUICK DIAGNOSTIC QUESTIONS - 3 questions, each with answer and 'a wrong answer means...'.
4) MINI-LESSON TO FILL THE GAP - explanation, worked example, 2 practice questions with answers below a line.
5) NEXT STEP - one line on when to return to the current topic.
RULES: Root-cause focused. Honest reasoning. All answers verified. Gentle, non-judgemental tone.
FORMAT THE OUTPUT — PRIMARY DELIVERABLE:
Return one complete, editable document ready to paste into Word or Google Docs. Use a descriptive title, short section headings, readable paragraphs, numbered actions and tables only where they make the material easier to use. Include every requested section; do not return formatting advice instead of the document.
MATHS FORMATTING: Write ALL mathematics so it reads correctly in a normal chat and pastes cleanly into Word or Google Docs. Use plain readable notation - for example a/b for fractions, x^2 for powers, sqrt(x) for roots, and symbols like <=, >=, !=, +-, pi, theta, integral and sum. Do NOT output raw LaTeX or code such as \frac{}{}, \sqrt{}, x^{2}, $...$ or \( ... \) - these appear as broken symbols to a teacher in a free chat.
CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.
GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.
SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
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🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
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