Concept Hierarchy Tree
A top-down tree showing how big ideas split into smaller sub-concepts.
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 and class level.
- 3. Paste the prompt below.
- 4. Send and read top to bottom.
- 5. Ask to split any node further.
🔧 If it is not right, reply with this: If the tree is too shallow, reply: "Go one more level deeper under every leaf and add a one-line example at the bottom level." If a branch is mislabeled, reply: "Fix that node and re-check the level above it."
THE PROMPT
ROLE: Act as a mathematics teacher and a concept-mapping specialist who builds clean hierarchy trees.
CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE]. I want a CONCEPT HIERARCHY TREE (text form) for one topic, showing how the big idea breaks down into categories, then sub-types, then specific cases. This helps students see structure. No image needed.
YOUR TASK:
1. Put the main concept at the top (Level 1).
2. Break it into 3 to 5 major categories (Level 2).
3. Break each category into sub-types (Level 3).
4. At the lowest level, give the specific cases, rules, or formulas with one short example each.
5. Keep the tree balanced and logical.
INPUT: Here is the topic I want as a tree: [PASTE TOPIC HERE]. If I give only the topic name, use standard [BOARD] content for [CLASS/GRADE].
HOW TO WORK IT OUT: First plan the whole classification privately so the categories do not overlap and nothing important is missing. VERIFY each rule, formula and example twice (syllabus accuracy plus a quick sanity check with a test value). Never invent rules; mark anything uncertain "(verify)". Write all maths in clean plain text (a^2, |x|, log x).
OUTPUT FORMAT (use indentation to show levels):
LEVEL 1: <main concept>
LEVEL 2: Category 1
LEVEL 3: sub-type
- specific case / formula - short example
LEVEL 3: sub-type
- specific case / formula - short example
LEVEL 2: Category 2
...
Every lowest node must end with one tiny worked example.
RULES: Categories must be mutually exclusive and collectively cover the topic. No overlap, no gaps, no padding. Match depth 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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