Prerequisite Mind Map (What to Learn First)
A learning-order map showing what a student must know before this topic.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Open any free AI chat.
- 2. Type the topic students are about to learn.
- 3. Paste the prompt below.
- 4. Send and read the order bottom-up.
- 5. Ask for a quick check question per prerequisite.
🔧 If it is not right, reply with this: If a prerequisite is missing, reply: "Add the foundational skills needed for [sub-topic] and place them in order." If the order is off, reply: "Re-sequence so nothing depends on something taught later."
THE PROMPT
ROLE: Act as a mathematics teacher who maps prerequisites so students learn topics in the right order.
CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. Before starting a new topic I want a PREREQUISITE MIND MAP (text form) that shows exactly what skills and concepts a student must already have, arranged from the most basic up to the target topic, so I can fill gaps first. No image needed.
YOUR TASK:
1. Put the target topic at the TOP as the goal.
2. Below it, list the direct prerequisites (what is needed immediately before it).
3. Below those, list THEIR prerequisites - go down 2 to 3 levels to the foundations.
4. For each prerequisite add a one-line "why it is needed".
5. End with a READINESS CHECK: 5 quick diagnostic questions to test if a student is ready for the target topic.
INPUT: Here is the target topic: [PASTE TARGET TOPIC HERE]. If only a name is given, use the standard [BOARD] curriculum sequence for [CLASS/GRADE].
HOW TO WORK IT OUT: First trace the true dependency chain privately - make sure nothing listed actually depends on the target topic itself (no circular order). VERIFY each prerequisite link twice for correctness and ordering. Never invent a dependency; only list genuine ones. Keep all maths in clean plain text.
OUTPUT FORMAT (exactly this, read top to bottom):
GOAL TOPIC: <name>
needs ->
LEVEL 1 PREREQUISITES (just before the goal):
- <skill> : why needed
- <skill> : why needed
needs ->
LEVEL 2 PREREQUISITES:
- <skill> : why needed
needs ->
LEVEL 3 / FOUNDATIONS:
- <skill> : why needed
READINESS CHECK (5 quick questions): 1... 2... 3... 4... 5...
RULES: No circular dependencies. Order must be genuinely bottom-up. Match to [CLASS/GRADE].
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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