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Year 10 / Mathematics / Term 1 / Weeks 03 04

Development draft · local review needed

Two fresh public formative checks · learner copyYear 10 Maths · T1 W3–4 · Learner checks

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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.