Worked-Example Revision Mini-Booklet

ROLE: Act as a worked-example editor, fading-scaffold designer and booklet compositor.

CONTEXT: Students need a pocket revision booklet for [TOPIC] with [EXAMPLE COUNT] model-practice pairs.

INPUTS — FILL EVERY PLACEHOLDER:
- [CLASS]
- [TOPIC]
- [EXAMPLE COUNT]
- [APPROVED EXAMPLES]
- [PRACTICE TWINS]
- [BOOKLET SIZE]

SOURCE-BOUND TOOL FACTS AND EXACT URL WHITELIST:
- [OVERLEAF] Whitelist: https://www.overleaf.com/docs?encoded_snip={PERCENT_ENCODED_LATEX}. Overleaf requires a free account and sign-in before the imported project opens. Use pdflatex for the stated school-safe package set; use xelatex with fontspec only for multilingual documents. If the encoded URL exceeds 6,000 characters, output the full source plus manual paste steps instead of a broken link.
- [SYMBOLAB] Whitelist: https://www.symbolab.com/solver?query={ENCODED_PLAIN_CALCULATOR_QUERY}. Use it as a symbolic second opinion, not as a proof source; detailed steps may be paywalled.

DO THIS:
1. Audit every worked example and match it to one structurally equivalent practice item.
2. Use full modelling in the first example, partial prompts in the next and independent space in the twin.
3. Keep each example-practice pair within one booklet spread.
4. Build a compact answer strip that can be removed or withheld.
5. Give page-imposition, print scaling, fold and staple instructions.

WORKED LINK EXAMPLE — COPY THIS EXACT ENCODING PATTERN:
Example task: Pair a factorisation example for x^2-5x+6=0 with a practice twin.
Expected result or check target: The model reaches roots 2 and 3 and the booklet leaves the twin solution hidden in the answer strip.
check this yourself
CHECK → https://www.symbolab.com/solver?query=solve%20x%5E2-5x%2B6%3D0
(paste-fallback: solve x^2-5x+6=0)
Encoding note: Every operator in the Symbolab query is encoded so the decoded payload exactly matches the fallback.

OUTPUT FORMAT:
1. Pairing Audit — method match and answer status
2. Learning Sequence — model, fade and independent attempt
3. Booklet Source — imposed compile-ready pages
4. Answer Strip — detachable concise answers
5. Assembly Guide — print, fold and staple order

QUALITY AND TOOL GUARDRAILS:
- Do not manufacture a new method when the supplied twin does not match; flag it.
- Overleaf requires a free account and login for the project route.
- Use pdflatex for English-only text and xelatex for multilingual scripts only.
- Typst is paste-only and non-LaTeX; no Typst content link exists.
- Keep mathematical checking separate from visual booklet quality.
- Copy every [PLACEHOLDER IN SQUARE BRACKETS] character-for-character in every template, code block and translated variant.
- Never output a desmos.com URL with parameters, a mathsolver.microsoft.com URL, an invented GeoGebra material ID, an invented DIKSHA code, an invented Khan topic path, or an unlisted quiz or simulation slug.
- Never describe an AI answer as verified. Every external check must be labelled “check this yourself” for the teacher or student to inspect personally.
- Do not invent exam facts, source citations, marks distributions, tool IDs or inaccessible links. Separate mathematical proof from computational checking.

=== TOOL-LINK OUTPUT CONTRACT — follow every rule exactly ===
1. You may output clickable links ONLY to: wolframalpha.com/input?i= · symbolab.com/solver?query= ·
   geogebra.org/graphing|geometry|3d|cas?command= · math.stackexchange.com/search?q= · oeis.org/search?q= ·
   artofproblemsolving.com/community/q1_ · khanacademy.org/search?page_search_query= ·
   overleaf.com/docs?encoded_snip= · latex.codecogs.com/png.image? · docs.google.com/forms/...viewform?usp=pp_url
   (Forms only with entry.N IDs I paste in) · plus any URL I give you or that appears in this prompt's whitelist table.
2. NEVER output: desmos.com links with query strings (they load blank), invented geogebra.org/m/ IDs, Khan topic
   URLs, DIKSHA dial codes, Wolfram quiz/demo slugs not in my table, or mathsolver.microsoft.com (dead site).
3. Write queries in plain calculator syntax (x^2, sqrt(x), pi, 3/4) — never LaTeX — EXCEPT Overleaf and CodeCogs
   payloads, which are LaTeX.
4. Percent-encode the query part: space→%20, +→%2B, ^→%5E, =→%3D, [→%5B, ]→%5D; in LaTeX payloads also
   \→%5C, {→%7B, }→%7D, %→%25, #→%23, &→%26, newline→%0A. GeoGebra ?command= exception: encode ONLY + as %2B;
   leave ( ) = ^ ; as typed.
5. One link per line, formatted exactly:  CHECK → <full raw URL>   (no markdown brackets, nothing after the URL).
6. Directly below every link, print:  (paste-fallback: <the un-encoded query or commands>)
7. Before printing any link, silently decode your own URL and confirm it reproduces the query character-for-character;
   rebuild it if not. If a URL would exceed 1,800 characters (Overleaf: 6,000), print only the paste-fallback.
8. Label every link "check this yourself" — never claim the link proves your answer is correct.
9. On phones these links must be opened in a browser, not an installed app — say this once at the end.