Optional integrated What does a… | Year 11 Inquiry · T1 W1–2 · Week 02

Five 35-minute sessions connect General English Unit 1 text perspectives (ENG-U1) and General Mathematics Unit 1 Topic 1 consumer arithmetic (GM-U1-T1). The fictional Paper Loop practice and Story Shelf transfer are classroom models, not offers or financial advice. This extension is locally optional and cannot stand in for subject lessons or formal QCAA assessment. Sources and limits: ledger.

Set up: Use learner Paper Loop Card 2 and budget Card 3, fresh English Text D card, budget map or text equivalent. Schedule this guide's Day 5 after English Day 10 so Text D remains fresh. Keep Text D covered until that check; use the numerical Paper Loop card plus the generic question “Which pack saves?” for integrated Days 1–4. Text D uses different Story Shelf bookmark numbers to test transfer after the Paper Loop work. Do not seek real family budgets or spending details.

Day 1 — One unit, one total

Question · 3 min. Write “Which pack saves?” Ask what saves needs as a condition: quantity, whole packs, delivery or future use.
Model · 5 min. Calculate $18.40÷8=$2.30/sheet and $27÷12=$2.25/sheet from the fictional card.
Guided choice · 7 min. For eight sheets, one small outlay $18.40 versus one large $27; distinguish unit-price advantage from cash outlay.
Independent card · 12 min. Learners write a two-part explanation: “large is lower per sheet by $0.05” and “small has lower stated outlay for eight by $8.60”; add one unknown condition.
Peer check · 5 min. Partner checks that neither sentence says “always” and that delivery is unknown rather than $0.
Exit · 3 min. Key: large lower unit price; small lower total outlay for exactly eight sheets in given whole-pack model.

Day 2 — Quantity changes a valid recommendation

Retrieve · 3 min. Ask for the eight-sheet result without re-showing calculations.
Model · 5 min. At 24 sheets, 3 small ×$18.40=$55.20; 2 large ×$27=$54.00.
Interpret · 7 min. The large route saves $1.20 on stated pack price at 24, yet loses on eight; discuss why quantity belongs in a truthful headline.
Independent two-audience copy · 12 min. Write one headline/subheading for a reader needing eight and another for 24, each with amount and condition. Keep a general caveat about delivery.
Editorial test · 5 min. Partner asks “Would the statement still be true at the other quantity?” Writer narrows it if needed.
Exit · 3 min. Key: “At 24 sheets, two large packs cost $1.20 less than three small packs before delivery”; this is bounded and checkable.

Day 3 — A price rise tests a promise

Frame · 3 min. Announce a what-if only: only the large pack price increases 10%. Do not claim a current price change.
Model · 5 min. $27+$2.70=$29.70; two large=$59.40; three unchanged small=$55.20.
Guided language · 7 min. Revisit yesterday's 24-sheet copy. Discuss whether a timeless “large always saves” survives this changed assumption.
Independent rewrite · 12 min. Learners show both old and new 24-sheet comparisons, then rewrite a one-sentence claim accurate for the new model with source and condition.
Check · 5 min. Pair audits what changed and unchanged; teacher checks $4.20 difference and absence of fabricated fees.
Exit · 3 min. Key: under the 10%-rise what-if, three small packs are $4.20 lower at 24 sheets, before delivery.

Day 4 — A budget can hold uncertainty

Orient · 3 min. Read fictional project fund $480 and ask which costs are already fixed in Card 3.
Model · 5 min. Venue+access equipment+transport=$235; balance $245. Stress this is an invented event, not family spending.
Guided inclusion · 7 min. Add original two large packs $54; planned total $289, remaining $191. Put “delivery unknown” outside the arithmetic total.
Independent option memo · 12 min. Compare the alternative three small packs: planned $290.20, remaining $189.80. Write a recommendation for exactly 24 sheets or a request for delivery quote; explain why $1.20 may not settle real choice.
Audit · 5 min. Partner checks both options sum to $480 with their balances and that missing delivery was not entered as zero.
Exit · 3 min. Key: original large choice leaves $191; small leaves $189.80; $1.20 gap may be outweighed by an unknown term.

Day 5 — Transfer, then honest publication

Reveal · 3 min. After English Day 10, revisit Story Shelf Text D with source label. Use the earlier independent first response as evidence rather than treating this rehearsal as a fresh check.
Analyse · 5 min. Ask who benefits from “always saves” and what the small print actually says. Avoid declaring seller intent as a fact.
Verify · 7 min. Students independently calculate six- and eighteen-bookmark outlays from the new card, then cross-check with a peer or calculator and compare with the different Paper Loop pattern.
Create · 12 min. Write, design or privately record a short “what the headline can safely say” panel with exact source, both quantities, unknown delivery and one useful next question. Keep arithmetic and rhetorical reasoning distinguishable.
Critique · 5 min. Teacher scores source/context and calculation as separate formative constructs. Ask one student to locate an overclaim and another to locate a valid claim in their own panel, without naming classmates.
Exit · 3 min. Key: large is cheaper per bookmark ($2.15 versus $2.20) and by $0.90 at eighteen; small needs lower stated outlay by $6.15 at six. “Always saves” is too broad.

Teacher next moves: If “saving” has no quantity, require a noun phrase naming the actual need. If a calculation uses fractional packs, draw whole-pack rectangles. If a learner treats absent delivery as free, move it into an unknown box. If a learner can compute but not explain the text, compare headline and small print side by side with a source label.