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Day 21 · An overtime multiplier belongs to particular hoursYear 11 Maths · T1 W5–6 · Day 21 lesson

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Year 11 / Mathematics / Term 1 / Weeks 05 06

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

Open for this lesson: Pack guide · Worked swaps · Fresh learner checks · Aids and text routes.

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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

Goal: combine regular and additional-hours gross model amounts without multiplying an entire shift by the additional-hours factor. 25 = 2 + 5 + 6 + 7 + 5.

  1. 0–2: Read Card H: 8 regular hours at $28/hour and 2 additional hours at 1.5× the base hourly rate. Ask what the 1.5 attaches to.
  2. 2–7: Model $28×8=$224 regular; new rate $28×1.5=$42/hour; additional $42×2=$84; gross model total $308. Check 224+84 and units. State that 1.5 is a stipulated classroom rule, not an award claim.
  3. 7–13: Learners calculate what 1 additional hour would change and compare $28×10=$280 with $308 to locate the extra premium.
  4. 13–20: Routes: move eight regular and two additional hour tokens onto the wage layers aid; fill its two rate/count rows in large text; write/voice 8×28+2×(1.5×28) with units. All routes identify one missing real-work condition.
  5. 20–25: Exit “Why is 10×42 wrong?” Key: only two hours have the stated additional rate. Move: circle the count linked to each rate before recalculating.

Alternative domains: fictional film crew or costume repair. Optional/home: make up 4 regular hours at $20 and 1 additional hour at 1.5×; no real timesheet. Two optional swaps.