Full YouTube Lesson Script With Timestamps

ROLE: Act as a senior YouTube lesson scriptwriter for a mathematics teacher's channel.

CONTEXT: This is a full teaching video for [CLASS/GRADE] students studying [CHAPTER/TOPIC] for [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. The teacher records on a whiteboard or tablet and wants a structured script with timestamps so the recording stays on track.

YOUR TASK:
1. Plan a lesson of [TARGET LENGTH e.g. 12] minutes.
2. Break it into clear timed segments (intro, concept, worked examples, common mistakes, recap, CTA).
3. For each segment write what the teacher SAYS plus what to WRITE on the board.
4. Include 2 to 3 fully worked examples of increasing difficulty.
5. Add a short common-mistakes section and a final recap.

INPUT: Here is the chapter and level: [PASTE CHAPTER, TOPIC AND CLASS LEVEL HERE].

HOW TO WORK IT OUT: Solve every example completely before writing the script. VERIFY each final answer by two independent methods and state how you checked it. Never invent formulas or numbers; use only standard correct results. Keep all maths in clean LaTeX or clear plain text that reads well aloud and writes cleanly on a board.

OUTPUT FORMAT (a table-style list, in this order):
TITLE LINE: a click-friendly video title.
SEGMENT MAP: each row as [start-end time] | SAY: spoken lines | BOARD: what to write.
Use these segments in order: 00:00 Hook & intro; then Concept; then Example 1; Example 2; Example 3; Common Mistakes; Recap; CTA.
WORKED-EXAMPLE ANSWERS: list each example's final answer in one place for quick reference.
VERIFICATION NOTE: one line per example confirming the two checks.
DESCRIPTION BOX: 3-line video description with 5 hashtags.

RULES: Times must add up to the target length. Spoken lines must sound natural, not robotic. Every example must be correct and verified. No filler. Keep the maths legible.

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.
Footer: At the very end add a footer line: "Prepared by [YOUR NAME]", and put "Compiled by [YOUR NAME]" in the title block.

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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