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Day 1 · A ratio names two ordered partsYear 11 Essential Maths · T1 W1–2 · Day 1 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: state Card A's round:square ratio with labels and compare each part with the whole. 25 = 2 + 5 + 6 + 7 + 5.

  1. 0–2: Show three round and two square paper pieces. Ask, “Which group does the first 3 count?”
  2. 2–7: Model round:square = 3:2. Say “three round for every two square,” then count five altogether. Draw a boundary between part-to-part 3:2 and part-to-all 3:5.
  3. 7–13: Learners physically or visually swap the order: square:round = 2:3, while the total stays five. Ask each to point to the named first group.
  4. 13–20: Routes: move labelled round/square tokens on the order mat; draw two labelled rows and write both ratios; speak/type/AAC “first group : second group” and give the five-token check. All routes identify which comparison was made.
  5. 20–25: Exit “If I say square:round, why is 3:2 wrong?” Key: the first number must count squares, so 2:3. Move: underline the first named group before writing any numbers.

Alternative domains: invented poster icons or repair-kit cards. Optional/home: sketch a fictional 4 stars and 1 line, name both ratio orders; no collection from home. Two more cases.