# Two fresh public formative checks · learner copy

These cases are new relative to the ten lessons but the answer key is also publicly accessible; they are **not secure exams**. A teacher may adapt the numbers and context if prior access matters. All records are invented; no real person, product, game or physical trial is represented. Work independently on your first response. The usual graph, tactile, text, AAC, calculator or exact-word scribe access remains available; say which evidence supports your claim.

## Check A · Day 15 · animation cue-board draft

A fictional animator lists pairs `(scene cards, cue marks)` for four invented storyboard drafts: **(1,4), (2,7), (3,10), (4,17)**. A draft note proposes `L(x)=3x+1` cue marks for x scene cards and says “Every added scene guarantees exactly three extra marks. The line fits every draft.” No animation was produced or watched.

1. Label a scatterplot or give an exact ordered-pair text representation with units. Describe the direction and identify a point that deserves a closer look.
2. Calculate the line prediction at x=4, then `listed − predicted` residual there, with sign and units. What does the residual measure and what does it **not** explain?
3. Audit “every draft”: name one record that conflicts. Rewrite the note as a cautious claim about this four-draft notebook.
4. State one next method or inclusion detail needed before a claim about **other** animations.

## Check B · Day 20 · sticker-design register

A fictional designer recorded **prototype sticker designs**, not people. Each design has a theme category (Ocean, Space, or No theme assigned) and a surface (Foil or Plain). The six cell counts are:

| Theme | Foil | Plain |
| --- | ---: | ---: |
| Ocean | 8 | 4 |
| Space | 9 | 9 |
| No theme assigned | 2 | 3 |

A fictional notice says “Two thirds of **all** sticker designs are foil because the Ocean ones are.” No stickers were manufactured, sold or tested.

1. Add all three row totals, two column totals and the grand total. Show a second direction for checking the grand total.
2. Calculate the proportion foil **given Ocean** and the proportion foil **among all designs**. If imagining a uniform random selection from this register, express these as conditional and overall probabilities too. Keep each denominator visible; percentages may be rounded to one decimal place.
3. Explain what happens if the no-theme row is dropped. Does an unknown theme mean an unknown surface?
4. Repair the notice in one sentence with a source-bound proportion, then give one claim the table cannot support.