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Day 3 — An extra-hour rule with a boundaryYear 11 Maths · T1 W1–2 · Day 3 lesson

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Year 11 / Term 1 / Weeks 01 02 / Mathematics

Part of the full two-week lesson sequence. Check the pack guide and taught point before teaching.

Open for this lesson: Sources and materials · Check guide.

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Teacher copy: This page may include teaching prompts or answer keys. Answer keys in this public library can be viewed by anyone. Give learners a clean prompt, use checks as formative evidence, and change a case locally when prior access matters.

Learner choices

Success: apply the card's special rule to the specified shift only and avoid generalising it to real work.

  1. Frame · 2 min. Read aloud “seven base hours, then two extra at 1.50× base” and point to the fictional contract label.
  2. Model · 4 min. Calculate $24×1.50=$36 per extra paid hour; 7×24=168, 2×36=72, combined $240.
  3. Guided compare · 5 min. Ask why 9×36=$324 is wrong: only the final two of this example use $36. Check 8-hour version = $168+$36=$204.
  4. Independent boundary · 7 min. Learners work a 10-hour what-if under the same stated rule: seven at base plus three extra. They show grouped arithmetic and label it as this model.
  5. Reasonableness · 4 min. Partner checks adding one extra hour from nine to ten adds $36, not $24; teacher asks which term changes.
  6. Exit · 3 min. Key: 10-hour model $168+$108=$276. No claim about an actual award or legal entitlement follows.

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