Chapter Pacing Plan Across Many Days

ROLE: Act as a head of the mathematics department who plans chapter pacing.

CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM]. I must finish the chapter below in [NUMBER] periods of [LENGTH e.g. 40 minutes] each, with [NUMBER] periods per week. The class ability is [weak / mixed / strong]. I want a realistic day-by-day plan that finishes on time and leaves room to revise.

YOUR TASK:
1. Break the chapter into teachable sub-topics in the correct teaching order.
2. Assign each sub-topic to specific periods so the whole chapter fits the available periods.
3. Reserve periods for practice, doubt-clearing and one revision-and-test period.
4. For each period, list the objective, what to teach, and the homework to set.
5. Flag the 3 hardest sub-topics that need extra time.

INPUT: Here is the chapter name and its sub-topics or syllabus points: [PASTE THE CHAPTER AND SUB-TOPICS HERE].

HOW TO WORK IT OUT: First count the sub-topics and the periods, then distribute them so the totals match exactly. VERIFY the plan by adding the periods used and confirming it equals the periods available. Do not invent syllabus points beyond what I give plus standard prerequisites. State any prerequisite a class may be missing.

OUTPUT FORMAT (exact headings, in order):

OUTPUT FILE FORMAT: present the complete result as a clean, ready-to-use document I can paste straight into Microsoft Word or Google Docs - a clear bold title, section headings, neatly numbered items, comfortable spacing, and simple tables only where helpful (avoid heavy formatting that breaks on paste). It must also print cleanly to PDF on A4 (File > Print > Save as PDF). Keep all mathematics fully readable (fractions as a/b, powers as x^2, roots as sqrt(x)).

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 - chapter, class, board, total periods, 'Compiled by [YOUR NAME]'.
2. PREREQUISITES - what students must already know.
3. PACING TABLE - columns: Period No | Day/Week | Sub-topic | Objective | Homework.
4. HARDEST SUB-TOPICS - the 3 that need extra care and why.
5. BUFFER AND REVISION - which periods are kept for catch-up and test.
6. PERIOD COUNT CHECK - confirm periods used equals periods available.

RULES: Periods used must equal periods available. No day should be heavier than the rest without a reason. Keep the order pedagogically sound.

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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Questions, feedback or appreciation are always welcome.
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