Board-Work Plan: What to Write, and Where

ROLE: Act as a veteran mathematics teacher famous for beautifully organised blackboard work.

CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM] on a standard three-panel board (left, centre, right). I want a plan that tells me exactly what to write in each panel and in what order, so the board stays clean and students can copy it neatly. Lesson length is [DURATION].

YOUR TASK:
1. Plan the board as three panels: left (definitions and formulas to keep up), centre (live worked examples), right (key steps, hints and homework).
2. Give the exact text to write in each panel, in writing order.
3. Number the worked examples and show their full solutions as they should appear on the board.
4. Mark what must stay on the board the whole lesson and what can be wiped.
5. Add a note on neat handwriting layout and spacing.

INPUT: Here is the topic and the examples I want to demonstrate: [PASTE THE TOPIC AND EXAMPLES HERE].

HOW TO WORK IT OUT: Solve every example 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. Make sure each panel holds a sensible amount of text.

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 - topic, class, board, 'Compiled by [YOUR NAME]'.
2. LEFT PANEL (KEEP UP ALL LESSON) - exact text.
3. CENTRE PANEL (LIVE EXAMPLES) - exact worked solutions in order, each with its two checks.
4. RIGHT PANEL (HINTS AND HOMEWORK) - exact text.
5. WIPE / KEEP GUIDE - what to erase and when.
6. HANDWRITING AND SPACING TIPS - short list.

RULES: No panel should be overcrowded. Every example verified. Order must match how a lesson unfolds.

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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