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Day 9 · Audit a plausible ratio claimYear 11 Essential Maths · T1 W1–2 · Day 9 lesson

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Year 11 / Essential Mathematics / Term 1 / Weeks 01 02

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: use Card G to check equivalence, part-of-all and a rescaled fixed total, correcting unsupported claims. 25 = 2 + 5 + 6 + 7 + 5.

  1. 0–2: Put Card G's three statements on the board without answers. Ask what evidence would test each.
  2. 2–7: Model 12:18 ÷6=2:3 and total30; show green share 12/30=2/5, not 2/3.
  3. 7–13: Learners rescale to total40: five parts, each8, giving16 green and24 orange; reverse-check16+24=40 and16:24=2:3.
  4. 13–20: Routes: use two textures of tag counters and five equal trays on the split bar; mark true/false plus corrected equations in an audit table; speak/type/AAC each claim, evidence and correction. All routes distinguish 2 of 5 total parts from 2 of 3 other-part comparison.
  5. 20–25: Exit “What denominator belongs to ‘green of all’?” Key: five ratio parts, or 30 actual tags here. Move: draw a brace around both groups before forming a part-of-all fraction.

Alternative domains: fictional library categories or festival wayfinding icons. Optional/home: audit an imagined claim that 2:3 with total15 means 2 and3 objects; show the actual counts. Two more cases.