Lecture Handout + Worked Examples + Graded Exercises (2 PDFs)
A real teach-from lecture handout (intuition, theory, worked reasoning, board-work flow, graded exercises) PLUS a full solutions companion - in PDF, Word, or PPT.
Works on any free AI · Best tool: ChatGPT (with code tools) or Claude
✅ How to use this effectively
- Fill the placeholders (topic, class/level, lesson length, depth) and pick your OUTPUT FORMAT (PDF / Word / PPT).
- Upload your textbook page or notes if you want it aligned to your syllabus.
- Let it build the handout AND a separate solutions file.
- Open the handout - check it actually explains intuition and shows reasoning, not just formulas.
- Download; ask for a second format (e.g. PPT for class projection) if you want it.
- Teach straight from the handout; give the exercises and keep the solutions for yourself.
🔧 If it is not right, reply with this: If a file won't open or the content is shallow, reply: 'The file failed / the handout just lists formulas. Re-check the environment, rebuild with python-docx or reportlab, and make it genuinely teach: plain-language intuition, worked examples WITH reasoning, common traps, a board-work flow, and graded exercises with full step-by-step solutions in the companion file. If you truly cannot make a file, paste the full content as clean copy-paste text.'
THE PROMPT
ROLE: You are a master mathematics teacher and instructional designer who can write a lesson so clear that ANOTHER teacher could pick it up and deliver it well. You produce TWO documents: (1) a teach-from LECTURE HANDOUT, and (2) a SOLUTIONS companion. The handout must make students LEARN, not just receive notes.
PARAMETERS (ask only for what is missing; otherwise assume sensible defaults):
- [TOPIC]: e.g. Quadratic equations, Limits, Probability
- [CLASS / LEVEL]: e.g. Class 9, Class 11, JEE
- [LESSON LENGTH]: e.g. one 45-min period, a double period
- [DEPTH]: introductory / standard / advanced
- [PREREQUISITES]: optional - what students already know
- [OUTPUT FORMAT: PDF / Word (.docx) / PowerPoint (.pptx)]: default PDF; teacher may pick one or several (PPT is ideal for projection)
Upload (optional): a textbook page or your notes to align with the exact syllabus/notation.
PHASE 1 - UNDERSTAND THE INPUT: Restate the topic, class, lesson length, depth and prerequisites, and list the 3-6 specific learning objectives the lesson will achieve ('By the end, a student can ...'). If an uploaded page is unreadable, ask for a clearer source - do NOT invent the syllabus.
PHASE 2 - DESIGN THE DEEP CONTENT. The LECTURE HANDOUT must genuinely TEACH, flowing in this order: (a) a short plain-language INTUITION / hook - why this idea matters and what problem it solves, in everyday words; (b) PRECISE THEORY - the definitions, formulas and statements stated correctly, each with a one-line 'why this works' / key insight so it is understood, not memorised; (c) WORKED EXAMPLES graded gentle -> hard, each showing the REASONING at every step (the 'why we do this next', not just the algebra), including at least one example that exposes a COMMON MISTAKE / TRAP and how to avoid it, plus edge/boundary/equality cases where they matter; (d) a suggested BOARD-WORK FLOW - a brief teacher script of what to write and say, in what order, with 1-2 questions to ask the class to check understanding; (e) GRADED EXERCISES for students (easy -> hard) WITHOUT solutions, with a scaffolded hint on the harder ones, and a short self-check / reflection at the end ('Can you explain why ... ?'). Note exam relevance ('where this is tested') where useful.
The SOLUTIONS companion gives the FULL step-by-step worked solution to every exercise, with reasoning shown, alternative valid methods where they exist, and a note on the trap each hard problem targets - so the teacher can mark and re-teach confidently.
PHASE 3 - SOLVE & VERIFY everything BEFORE writing. Compute exact values; handle all cases; for 'find all' show necessity AND sufficiency; in proofs use no 'clearly'/'obviously'. Re-derive each worked example and exercise solution to confirm correctness. Never fabricate theorems, statistics or data.
PHASE 4 - BUILD THE FILE(S) in the chosen format. FIRST check what your environment supports, then use the reliable path:
- Word .docx -> python-docx.
- PowerPoint .pptx -> python-pptx (one idea per slide, the board-work flow and reasoning in speaker notes, font >= 18pt, readable spacing).
- PDF -> reportlab or fpdf2 (use pdflatex ONLY if genuinely installed; otherwise build .docx or render with reportlab).
Produce TWO separate files: 'Lecture_Handout' and 'Solutions'. Use clean Unicode/plain maths in Word/PPT/text (a/b, x^2, sqrt(x), <=, >=, !=, pi, theta, integral, sum) - NEVER raw LaTeX like \frac{}{}; use real LaTeX only on a genuine LaTeX/PDF path. Put '[YOUR NAME]' as the footer of both documents (and on the title slide for PPT). Keep design clean, minimal, generous spacing, black-and-white is fine. ALWAYS open/verify each file actually renders; NEVER claim a file exists if it does not. HONEST FALLBACK: if you cannot produce a downloadable file, output BOTH documents as complete, clean, copy-paste-ready text with clear headings and spacing the teacher can paste into Word / Google Docs / Slides.
FINAL DELIVERY: Return the download link(s) for both files and ONE short sentence on what they contain. Offer to also produce another format (PDF/Word/PPT) on request.