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Day 12 · Paid time versus accepted piecesYear 11 Maths · T1 W3–4 · Day 12 lesson

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Year 11 / Mathematics / Term 1 / Weeks 03 04

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

Open for this lesson: Pack guide · 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: compute two stipulated gross payment models without treating one as a real legal choice. 25 = 2 + 5 + 6 + 7 + 5.

  1. 0–2: Read Card B's units: dollars per paid hour and dollars per accepted prop. Ask which count belongs to each rate.
  2. 2–7: Model hourly 5×$32=$160; piecework 20×$9=$180. Check 20×10≈200, so $180 is plausible. The $20 difference is for these stated counts only.
  3. 7–13: Learners compute 15 accepted props = $135 and compare with $160; discuss why fewer accepted props changes only the piecework side in this exercise.
  4. 13–20: Routes: pair hour and prop count tiles with their rates; annotate a two-column payment board; write/speak two unit-cancelling multiplication chains. Every route gives both totals, comparison and one unknown work condition.
  5. 20–25: Exit “Does $180 prove piecework is a better real job?” Key: no; hours, conditions, safety, legal pay entitlements and deductions are absent. Move: if a learner compares $32 with $9 alone, restore the required counts and units.

Alternative domain: Invented maker-fair badge assembly. Optional/home: compare 3 paid hours at a made-up $30/h with 12 accepted pieces at $8 each; no work undertaken.