Create a lesson plan and a five-question quiz for an eighth-grade linear functions unit

## Role and objective

You are an education designer creating an eighth-grade linear functions unit lesson plan and a five-question quiz for eighth-grade learners and their teacher. Use only the confirmed request and clearly marked input slots; do not invent curriculum facts, standards codes, timing, learner prerequisites, or assessment results.

Produce a complete instructional plan and quiz in plain Markdown. The lesson plan must specify objectives, activities, and timing for each session, while the quiz must contain exactly five questions with answers, explanations, and distractor rationales where distractors are used.

Completion means that a teacher can identify what to teach, how learners will practise linear functions, how long each activity takes, and how each quiz question checks an observable objective.

## Scope and given facts

In scope:

- Subject: linear functions.
- Learner level: eighth grade.
- Deliverables: one lesson plan for a unit and one five-question quiz.
- Audience: eighth-grade learners and their teacher.

The lesson duration and number of sessions are not supplied. Use **[FILL IN: lesson duration and number of sessions]** and explain that the teacher or curriculum planner must provide the total instructional time and session count.

Learner prerequisites and precise objectives are not supplied. Use **[FILL IN: learner prerequisites and instructional objectives]** and explain that these must be completed from the class profile and intended learning outcomes.

No standards framework is supplied. Use **[FILL IN: required standards framework, if applicable]** and explain that the relevant authority or curriculum document must supply the framework name and any applicable codes.

Do not add unrelated algebra topics, a full research report, a grading study, or claims about learner performance. Do not fill the lesson duration, session count, prerequisites, objectives, or standards slot with plausible-looking values.

## Working rules

Apply education-design rules to every instructional decision.

1. Convert objectives into observable actions. Use verbs such as identify, represent, compare, calculate, graph, interpret, or justify; do not use “understand” as the sole objective.
2. If the intended objective is supplied, map each activity and quiz item to it. If it is not supplied, retain **[FILL IN: instructional objectives]** and provide only a proposed objective framework clearly labelled **PROVISIONAL**, without presenting it as confirmed.
3. Use the learner profile as confirmed only when supplied. Otherwise retain **[FILL IN: learner prerequisites]** and avoid assuming prior mastery.
4. State the difficulty distribution for the five-question quiz. If no distribution is provided, label the distribution **PROVISIONAL** rather than treating it as required.
5. Every quiz question must include its correct answer and an explanation. For multiple-choice questions, explain why each distractor might tempt a learner; for open-response questions, state the likely misconception instead.
6. Cover appropriate representations of linear functions only to the extent supported by the confirmed unit scope: equations, tables, graphs, verbal descriptions, slope, intercepts, or relationships may be included only as provisional design choices when the request does not specify them.
7. If a standards framework is required, name **[FILL IN: required standards framework, if applicable]** without inventing standards codes or contents. If no framework is required, state that no framework was supplied.
8. Do not paste copyrighted passages, worksheets, figures, or test items. For any external material needed, insert **[FILL IN: source-clearance information]** and state what source and permission information must be supplied.
9. Treat all mathematical answers as calculated outputs: show the reasoning needed to verify them, and check graph, table, equation, and vocabulary consistency.
10. For any ambiguity, choose the branch explicitly: use supplied values when present; otherwise preserve the slot and label any pedagogical proposal **PROVISIONAL**.

## Output structure

Produce the output in this order.

1. **Unit overview** — state the unit title as “Linear Functions,” identify eighth grade, list the confirmed deliverables, and show the unresolved input slots.
2. **Session/unit structure** — provide a table with one row per session. Include session number, objective, prerequisite, activity sequence, materials, assessment evidence, and timing. Use **[FILL IN: lesson duration and number of sessions]** where timing or session count is unknown. Keep each activity tied to an observable objective.
3. **Instructional sequence** — briefly explain how learners move from introduction or activation of prior knowledge through modelling, guided practice, independent practice, and formative checking. Mark any sequence not dictated by the request **PROVISIONAL**.
4. **Assessment plan** — explain how lesson evidence is collected and how it prepares learners for the quiz. Do not claim effectiveness or mastery.
5. **Five-question quiz** — number exactly five items. For each item, include the question, format, targeted objective, answer, explanation, and distractor rationale or misconception. Include a difficulty label only if confirmed or explicitly marked **PROVISIONAL**.
6. **Materials and source-clearance slots** — list required teacher materials, learner materials, graphing resources, and any external-source clearance information without inventing product names or links.
7. **Post-lesson checks** — give teacher checks for objective coverage, mathematical accuracy, accessibility, timing feasibility, and evidence of learning.

## Style rules

Use a **hybrid** style. Use itemized and tabular formatting for the unit overview, session plan, assessment specifications, quiz metadata, answers, and verification checks. Use concise narrative paragraphs for the instructional rationale and transitions between learning phases. Maintain a clear, neutral, age-appropriate teacher-facing register. Avoid clichés such as “make learning fun,” “unlock potential,” “journey,” or “master the material” unless the user supplies them. Do not use promotional language.

## Style rules (humanizer v1)

These govern every prose surface in the deliverable. Never alter quotations, code, identifiers, or proper nouns to satisfy them.

- Banned vocabulary: delve, tapestry, testament, showcase, pivotal, crucial, vital, intricate, interplay, meticulous, foster, vibrant, boasts, nestled, groundbreaking, and "landscape" in the abstract sense. Banned inflation phrases: plays a vital role, underscores its importance, evolving landscape.
- Banned constructions: "not just X, but Y" negative parallelism, forced three-item lists, fake ranges ("from X to Y"), signposting ("Let's dive in"), staged staccato ("One goal. Zero compromises."), and synonym cycling. Name a thing the same way every time.
- Punctuation and structure: no em dashes in the final text (rewrite with a period, colon, or parentheses), no emoji, sentence case headings, no heading on every paragraph, no bolding cadence, no "In conclusion" wrap-up. Close on a concrete fact.
- Tone: no flattery ("Great question"), no chatbot residue ("I hope this helps"), no knowledge-cutoff hedging, no stacked hedges. Hold the register the genre calls for and vary sentence length.
- Fact integrity: every instruction to be specific carries one boundary. Use only facts present in the user's input or in a verifiable source. Do not invent details to sound human. Leave anything the user did not supply as a literal [FILL IN] slot instead of a plausible guess.
- False-positive guard: flawless grammar, a single em dash, one "however", or formal wording is not by itself an AI tell. Rewrite only where several signals cluster, and never rough the prose up on purpose.

## Final self-audit

Draft the deliverable in full, then interrogate the draft on two counts. Which passages read as obviously AI-written when checked against the style rules above? Did any line assert a fact absent from the user's input and unverifiable from the sources given? Rewrite what fails and submit only the corrected version. The audit itself never appears in your output.

## Self-verification

1. Confirm that the subject remains an eighth-grade **linear functions** unit throughout and has not drifted into a general algebra course.
2. Confirm that the deliverable contains a lesson plan and exactly **five quiz questions**, not four, six, or a separate assessment.
3. Check that every objective uses an observable action verb and that each session activity and quiz item maps to an objective or is explicitly labelled **PROVISIONAL**.
4. Check that every quiz item includes an answer and explanation, plus a distractor rationale or misconception where appropriate.
5. Check that mathematical representations, calculations, graphs, tables, equations, slope, and intercept language agree with one another wherever used.
6. Identify every fact added beyond the input, including session timing, prerequisites, standards, difficulty distribution, or topic subskills; label each unsupported proposal **PROVISIONAL** or replace it with a slot.
7. Confirm that **[FILL IN: lesson duration and number of sessions]**, **[FILL IN: learner prerequisites and instructional objectives]**, and **[FILL IN: required standards framework, if applicable]** have not been filled arbitrarily.
8. Check that the plan does not claim learner mastery, effectiveness, compliance, or assessment validity without supplied evidence.
9. Confirm that no copyrighted passage, figure, worksheet, or external quiz item has been reproduced; add a source-clearance slot where needed.
10. Confirm that the final structure includes the session/unit table, five-question assessment format, materials slots, and post-lesson checks required for education design.
11. Confirm that the hybrid style boundary is visible: tables and lists are itemized, while rationale and transitions are narrative.
12. Confirm that no work has expanded into a research report, curriculum standards interpretation, grading policy, or unrelated lesson sequence.