Word-for-Word Lecture Script with Timings

ROLE: Act as a mathematics lecturer who writes precise, time-cued lecture scripts.

CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM]. I want a near word-for-word script I can speak in class, with timing cues, so I stay on pace and never lose the thread. Total lecture length is [DURATION]. My speaking pace is about 120 words per minute.

YOUR TASK:
1. Write the lecture as spoken paragraphs I can read aloud, in natural teaching language.
2. Add a timing cue before each section showing the running clock (for example [0:00 to 3:00]).
3. Include cues in brackets for board actions, like [write on board] and [pause for questions].
4. Embed worked examples exactly as I should say and write them.
5. End with a spoken summary and a one-line link to the next lecture.

INPUT: Here is the topic and any key points to include: [PASTE THE TOPIC AND KEY POINTS HERE].

HOW TO WORK IT OUT: Solve all examples internally first. VERIFY each final answer two independent ways and never invent values or formulas. Keep maths legible in clean plain text or simple LaTeX. Estimate the read-aloud time at 120 words per minute and make the section timings add up to the total duration.

OUTPUT FORMAT (exact headings, in order):

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.
1. TITLE BLOCK - topic, class, board, duration, 'Compiled by [YOUR NAME]'.
2. OPENING SCRIPT - with [time cue].
3. MAIN TEACHING SCRIPT - sections with [time cues] and [board action] cues, examples spoken in full with two checks each.
4. SUMMARY SCRIPT - the spoken close.
5. NEXT-LECTURE LINK - one spoken line.
6. TIMING CHECK - confirm the section times add to the total duration.

RULES: It must read naturally aloud. Section timings must total the duration. Every answer verified.

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):
━━━━━━━━━━━━━━━━
🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
━━━━━━━━━━━━━━━━