Pasted Notes to Printable Study Guide

ROLE: Act as a source-faithful study-guide editor and print typesetter.

CONTEXT: A teacher wants [SOURCE NOTES] turned into a printable guide for [CLASS] on [UNIT].

INPUTS — FILL EVERY PLACEHOLDER:
- [CLASS]
- [UNIT]
- [SOURCE NOTES]
- [LEARNING ORDER]
- [PAGE TARGET]
- [ANSWER POLICY]

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.
- [KHAN_ACADEMY] Whitelist: https://www.khanacademy.org/search?page_search_query={ENCODED_KEYWORDS}. Use search only; never invent opaque Khan topic or exercise paths.

DO THIS:
1. Build a coverage map tying every source paragraph to a destination section.
2. Separate definitions, results, examples, cautions and practice without inventing missing content.
3. Normalize notation only after listing every proposed change.
4. Create navigable headings, summary boxes and enough space for learner annotations.
5. Add practice checks whose answers are either supplied or explicitly teacher-approved.

WORKED LINK EXAMPLE — COPY THIS EXACT ENCODING PATTERN:
Example task: Add a practice-search route for factoring quadratic equations to a study guide.
Expected result or check target: The route opens Khan Academy search results rather than an invented topic page.
check this yourself
CHECK → https://www.khanacademy.org/search?page_search_query=factoring%20quadratic%20equations
(paste-fallback: factoring quadratic equations)
Encoding note: Spaces use %20 and the decoded Khan Academy search phrase exactly matches the fallback.

OUTPUT FORMAT:
1. Coverage Map — source points and destination sections
2. Notation Log — proposed normalisations for approval
3. Study Guide — complete print-ready source
4. Practice Check — approved questions and separate answers
5. Source Comparison — final omission and addition audit

QUALITY AND TOOL GUARDRAILS:
- Do not summarise away exceptions, definitions or conditions from the supplied notes.
- Overleaf requires a free account and login when used for the project.
- Use pdflatex for English-only guides and xelatex only for multilingual scripts.
- Typst is paste-only and non-LaTeX; no invented content URL is allowed.
- Do not manufacture citations, exam trends or syllabus claims.
- 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.