# Public worked guide · daily and fresh-check next moves

This teacher-targeted file is **publicly accessible by URL**. The [learner checks](../STUDENT-CHECKS.md) are fresh relative to practice but **not secure exams**, QCAA instruments, unit judgments or investment/financial advice. Retain the learner's first response and record text access, response mode, calculator, content hint and time separately. For each response, make three **separate** observations: `source/perspective choice`, `arithmetic with base and unit`, `bounded public correction`. Use `clear in this response / partial or content-hinted / not yet evidenced` as a planning note, not a QCAA standard or combined subject mark.

## Daily worked models and next actions

| Day | Worked source-bound result | Next move if evidence is thin |
| --- | --- | --- |
| 21 | Regular `7×$26=$182`; extra rate `1.5×$26=$39/hour`, so 2 extra hours `$78`; once-only allowance `$15`; gross model total **$275**. The cropped hand and *two late hours* cannot establish whole-display authorship or take-home pay. | Separate the extra-hour rate from the whole shift; ask which claim the hand image can actually evidence. |
| 22 | Regular `4×$30=$120`; extra rate `1.25×$30=$37.50/hour`, so 3 extra hours `$112.50`; **one** `$10` allowance; gross **$242.50**. Adding `$10` three times would give `$262.50`, unsupported. | Give the allowance its own **per shift** unit card; do not multiply it by hours. |
| 23 | Gap `$70−$56=$14`; mark-up `$14÷$56×100=25%`; gross price margin `$14÷$70×100=20%`. It is not 25% of a `$70` sale, and other expenses prevent net-profit inference. | Keep COST and SALE denominator labels under the same `$14` gap. |
| 24 | Rise `$120−$96=$24`; `$24÷$96=25%` upward. Return drop `$24÷$120=20%`; a 25% drop from `$120` would be `$90`. The cropped cards do not explain why the price changed or prove an access effect. | Put each starting base directly below its percentage; test the wrong claim numerically. |
| 25 | Receipts `40×$8=$320`; listed costs `$125+$45+$100=$270`; known remainder **$50 before any other costs**. The cropped hands do not allocate `$320` or `$50` to anyone. | Distinguish gross receipts, costs and unknown allocation. Do not infer a charity or real worker outcome. |
| 26 | First cut `$60×20%=$12`, later label `$48`. To return, `$12÷$48=25%` increase. A 20% increase on `$48` is `$9.60`, giving `$57.60`, not `$60`. The crop hides the original base. | Have the learner speak both starting prices before saying a percentage. |
| 27 | Stipulated `AUD $1 = USD $0.70`: `AUD $240 ×0.70 = USD $168`; `USD $84 ÷0.70 = AUD $120`; reverse check `AUD $120 ×0.70 = USD $84`. A matching dollar sign/typography does not make amounts equal. | Attach currency to each number; reverse-check the arrow. No live quote or fee is known. |
| 28 | Stipulated one-year dividend `$0.90/share ×40 shares=$36`; model yield `$0.90÷$30×100=3%`. One model year cannot promise future dividends or a return. [ASIC MoneySmart](https://moneysmart.gov.au/how-to-invest/choose-your-investments) confirms real dividends are not guaranteed. | Distinguish per-share dollars from portfolio dollars and a one-year model from a promise. |
| 29 | Tinpath P/E `$36÷$3=12`; Hearthtile `$48÷$4=12`. Both ratios match in this toy table. Shorter share-price bar alone cannot rank actual investment value or future risk. | Divide price by earnings **per share** for each; label P/E as a ratio, never a percent. |
| 30 | Soundwheel P/E `$20÷$2=10` as a **ratio**; one-year model dividend yield `$0.60÷$20×100=3%`. A ring with ten parts cannot make 10 mean 10% dividend, and neither measure guarantees cash. | Sort PRICE, EARNINGS and DIVIDEND before calculating; ask which pair of units each quotient uses. |

## Check A worked response · paper weather-vane cards

The fictional Weather Play editor addresses adult makers; *exactly*, *quarter of each sale* and “the picture proves” present a price-gap calculation as an allocation. The image shows paper cards, not any transfer of money. Dollar gap **$60 − $45 = $15**. Mark-up on **cost** is `$15 ÷ $45 ×100 = 33⅓%` (about **33.33%**). Gross price margin on **sale price** is `$15 ÷ $60 ×100 = 25%`. A cautious correction: “This fictional set has a $45 stated production cost and $60 stated sale price, a $15 gap before unknown other expenses. That is about 33.33% mark-up on cost or 25% of the sale price; we have no evidence of how the gap is allocated.”

**Next:** If a learner gives 25% for both, ask them to put each denominator below the `$15`. If they call `$15` net profit, ask which other costs are known (none). If they cite the picture as an actual sale record, return to its invented description.

## Check B worked response · Nookline's one-panel number

The fictional Nookline editor addresses imagined readers. A single oversized `10` and *guarantees* invite a shortcut from **ratio** to **annual cash percent**. P/E is `$25 ÷ $2.50 = 10`, a **ratio**, not `10%`. One-year model dividend yield is `$0.50 ÷ $25 ×100 = 2%`. These are distinct numerators and denominators; the source does not supply future dividends or a guarantee. A correction: “On the stated one-year figures, Nookline's P/E is 10 and its stipulated dividend yield is 2%; neither value predicts a payment in another year or recommends the share.”

**Next:** If a learner uses annual earnings as dividend, sort the `$2.50 EPS` and `$0.50 dividend/share` cards. If 10 is reported as a percent, restore the ratio label and calculate yield on the correct base. Record source access separately from content help.

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