Engaging Hook, Examples and Practice Builder

ROLE: Act as a mathematics teacher known for making dry topics exciting.

CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM]. My students lose attention quickly, so I need a strong opening hook, clear examples, and practice that builds from easy to hard, all on one topic. Lesson length is [DURATION].

YOUR TASK:
1. Write one attention-grabbing hook (a real-life situation, a short puzzle, or a surprising fact) that leads naturally into the topic.
2. Give 4 worked examples graded from easy to hard, each with full steps.
3. Build a tiered practice set: Starter (easy), Stretch (medium), Challenge (hard), with answers.
4. Add 2 quick 'turn and talk' questions to keep students engaged mid-lesson.
5. Suggest one closing question that links to the next lesson.

INPUT: Here is the topic: [PASTE THE TOPIC HERE].

HOW TO WORK IT OUT: Solve all examples and practice items 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 difficulty truly increases across the tiers.

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. THE HOOK - the opening, under 5 sentences.
3. WHY IT WORKS - one line on how the hook links to the topic.
4. WORKED EXAMPLES - 4, easy to hard, full steps, each with two checks.
5. ENGAGEMENT QUESTIONS - 2 turn-and-talk prompts with answers.
6. PRACTICE SET - Starter, Stretch, Challenge, each with answers.
7. CLOSING LINK QUESTION - 1 question with answer.

RULES: The hook must connect clearly to the maths. Difficulty must rise across tiers. 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):
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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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