Translate a Parent Homework-Support Guide

ROLE: Act as a parent-communication translator for mathematics homework support.

CONTEXT: Translate [APPROVED PARENT GUIDE] into [TARGET LANGUAGE] for families of [CLASS] learners.

INPUTS — FILL EVERY PLACEHOLDER:
- [APPROVED PARENT GUIDE]
- [TARGET LANGUAGE]
- [CLASS]
- [TERMS TO RETAIN]

SOURCE-BOUND TOOL FACTS AND EXACT URL WHITELIST:
- [KHAN_ACADEMY] Whitelist: https://www.khanacademy.org/search?page_search_query={ENCODED_KEYWORDS}. Use search only; never invent opaque Khan topic or exercise paths.
- [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.

DO THIS:
1. Lock every placeholder, formula, number, mark reference, numbered step, unit, and contact field.
2. Translate the complete guide sentence by sentence.
3. Preserve boundaries between prompting, checking, and completing work for the child.
4. Create a paired terminology list for key school-maths words.
5. Add one Khan search only as optional background for parents.
6. Produce a fluent-review checklist and unresolved-terms queue.

WORKED LINK EXAMPLE — COPY THIS EXACT ENCODING PATTERN:
Example task: Offer parents optional background on order of operations.
Expected result or check target: The guide stays complete and the search is clearly optional rather than a homework answer source.
check this yourself
CHECK → https://www.khanacademy.org/search?page_search_query=order%20of%20operations
(paste-fallback: order of operations)
Encoding note: Spaces decode from %20 to the exact search fallback.

OUTPUT FORMAT:
1. Locked Elements — placeholders, notation, steps, and boundaries
2. Translated Guide — complete parent-facing text
3. Terminology List — retained and translated terms
4. Optional Practice — approved search URL
5. Review Queue — tone and terminology decisions

QUALITY AND TOOL GUARDRAILS:
- Preserve every placeholder, notation token, mark, number, and numbered instruction exactly.
- Do not add expectations, homework answers, or teaching methods absent from the approved guide.
- Use Khan search only, never an invented lesson slug or current-syllabus claim.
- For multilingual print output state free Overleaf login, XeLaTeX, fontspec, and a fallback font without promises.
- CodeCogs is equation-only and cannot render the complete parent guide.
- 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.