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Day 27 · Exchange direction changes the operationYear 11 Maths · T1 W5–6 · Day 27 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: apply a stipulated AUD→USD rate and invert it when converting back. 25 = 2 + 5 + 6 + 7 + 5.

  1. 0–2: Read Card M: in this invented model only, AUD1 = USD0.64 and no fees. Display “not a live quote.”
  2. 2–7: Model AUD250 ×0.64 = USD160. Reverse-check USD160 ÷0.64 = AUD250, preserving currency labels.
  3. 7–13: Learners separately convert USD96 ÷0.64 = AUD150 and reverse ×0.64 = USD96. An estimate notes AUD amount should be numerically larger here because each AUD maps to less than one USD in this model.
  4. 13–20: Routes: move currency cards through the direction arrows; fill the labelled two-way table; use the optional offline rate switch or write/speak both expressions and check them by hand. Every route states rate date/fees are unknown in reality; no live rate is fetched.
  5. 20–25: Exit “USD96 ×0.64 gives what, and why is it not the requested AUD amount?” Key: it applies the AUD→USD direction to the wrong starting currency. Move: write the source unit above each number, then choose multiplication/division.

Alternative domains: invented travel itinerary or digital licensing estimate. Optional/home: change a made-up conversion factor and predict direction; do not look up or use a live rate. Two optional swaps.