Public… | Year 11 Maths · T1 W5–6 · Teacher · Key And Next

This file is public by URL, not an access-controlled store. The learner checks are new relative to the lesson cards, but are formative only, not secure school or QCAA Unit 1–2 assessment instruments. Collect and keep first independent responses before giving content feedback. If prior access matters, set local replacement values. Record an access support separately from a mathematical hint. All models are fictional; no legal wage, actual exchange quote, tax treatment, investment return or purchasing recommendation follows.

Core daily results and response moves

Day	Worked result and source boundary	Next move when evidence is weak
21	Card H: regular `8×$28=$224`; additional rate `$28×1.5=$42/hour`; additional `2×$42=$84`; total `$308`. A made-up factor does not establish a legal overtime rate.	If all 10 hours are multiplied by 1.5, split the 8/2 hour counts before adding.
22	Card I: regular `6×$31=$186`; additional rate `$31×1.25=$38.75/hour`, additional `$77.50`; fixed once-only allowance `$24`; total `$287.50`.	If allowance is hourly, label it “$24 once for shift” and rebuild total from three layers.
23	Card J: `25%×$80=$20`; stated price `$100`; gross price gap `$20`, not known net profit.	Ask which value is the percentage base and what costs are omitted.
24	Card K: gap `$90−$72=$18`; mark-up `$18/$72×100=25%`; gross margin `$18/$90×100=20%`.	Place the same $18 above each different denominator and name it.
25	Check A below.	Reteach the weak rate-unit or percentage-base step with unseen local data; do not rewrite first evidence.
26	Card L: up `$12.50/$125×100=10%`; return down `$12.50/$137.50×100≈9.09%`. These are invented figures, not inflation data.	Underline “from” and write that starting amount under each fraction.
27	Card M stipulated rate: AUD `$250×0.64=USD $160`; USD `$96÷0.64=AUD $150`. Reverse checks recover AUD250/USD96. No live rate or fee conclusion.	Label source and target units above arrows before choosing × or ÷.
28	Card N1: `50×$0.84=$42` annual model dividend; `$0.84/$24×100=3.5%` yield. Full portfolio check: `$42/(50×$24)×100=3.5%`. No future payout guarantee.	Align one-share dividend with one-share price or both portfolio totals.
29	Card N2: Cedar `$30/$2=15` P/E; Slate `$36/$3=12` P/E. Ratios are not percentages or a buying recommendation.	Reverse-multiply by EPS and request one missing risk/growth/accounting input.
30	Check B below.	Recheck source-unit direction, per-share versus portfolio bases and ratio interpretation with fresh local inputs.

Check A · worked first response

Regular 7×$33=$231. Additional rate $33×1.5=$49.50/hour; 2 additional hours yield $99. Once-only $17 allowance. Gross fictional shift total $231+$99+$17=$347. A check is $33×9=$297 if all 9 hours were regular, plus the additional-hours premium 2×($49.50−$33)=$33 and the allowance $17, giving $347.
Item gap $110−$88=$22. Mark-up base cost: $22/$88×100=25%. Margin base selling price: $22/$110×100=20%. Reverse checks $88×1.25=$110 and $110×0.20=$22.
Accept a checked sum/estimate with rate labels and a scope statement: no actual award, tax, deductions, other business expense or contract is supplied. Neither result proves net pay or net profit.

Response branch: If a learner gets $33×1.5×9, separate seven regular and two additional hours. If $17 is multiplied by hours, re-label it “one fixed shift allowance.” If mark-up and margin both use $88, ask what “of the selling price” names. Capture first work before coaching.

Check B · worked first response

Given invented AUD1 = USD0.72: AUD $175×0.72=USD $126; USD $54÷0.72=AUD $75. Reverse USD $126÷0.72=AUD $175; no live rate or fee is established.
Annual dividend on 45 shares: 45×$1.28=$57.60. Yield $1.28/$32×100=4%; full-portfolio check $57.60/(45×$32)×100=4%.
P/E $32/$2.50=12.8 as a ratio, not 12.8%. One ratio and a dividend cannot reveal future earnings, risk, debt or suitability, so no purchase conclusion is justified.
Accept missing real-world exchange date, live rate, fee/spread or provider condition; for shares accept payout uncertainty, price changes, future earnings, risk or individual circumstances. Do not ask for learner's personal finances.

Response branch: If USD54 is multiplied by 0.72, label the given ratio USD per AUD and reverse the arrow. If 45 is mistakenly included in per-share yield, pair 45 dividends with 45 prices or use one of each. If P/E is given as a percentage, cancel $ per share units and name it a ratio. Preserve first response, content hints and access supports as distinct notes.

Twenty optional swap results

These correspond, in order, to the two learner prompts under each day heading. They offer a second numerical route or a next-day recheck; they are not QCAA formal assessment. All claims remain within stipulated invented inputs.

Day	Swap 1	Swap 2
21	Film-set: regular `$150`, additional `$112.50`, total `$262.50`.	Museum: regular `$120`, additional `$60`, total `$180`; multiplier applies to the one additional hour.
22	Audio: regular `$130`, additional `$65`, allowance `$15`, total `$210`.	Festival: regular `$168`, additional `$36`, allowance `$12`, total `$216`.
23	Badge: gap `$12`, price `$60`.	Prop: gap `$7`, price `$42`.
24	Zine: gap `$10`, mark-up `25%`, margin `20%`.	Kit: gap `$18`, mark-up `20%`, margin `16.67%` rounded.
25	Exhibition: gap `$15`, mark-up `25%`, margin `20%`.	Scene: regular `$60`, additional `$30`, total `$90`.
26	Ticket: up `$10`, `25%`; return down `$10`, `20%`.	Materials: up `$15`, `20%`; return down `$15`, `16.67%` rounded.
27	Travel: AUD100 → USD75; USD45 → AUD60.	Digital rights: AUD180 → USD108; USD72 → AUD120.
28	Library shares: annual dividend `$10`, yield `2%`.	Garden shares: annual dividend `$51.20`, yield `4%`.
29	Press: `P/E=7`, check `7×$4=$28`.	Studio: `P/E=15`, check `15×$3=$45`; no recommendation follows.
30	Ticket conversion: AUD90 → USD72; USD64 → AUD80.	Publisher: annual dividend `$6`, yield `2%`, `P/E=5`.

Criterion view, not a grade

Note whether a learner identified the named base and unit, selected a valid operation, checked it, explained a model limitation and worked independently with their chosen access support. A dollar total without its period or denominator is incomplete evidence. These two checks sample small parts of Unit 1 Topic 1; they do not establish mastery of the full topic, replace the school's assessment program or measure classroom effectiveness. A spreadsheet file being supplied does not show an individual learner used it.