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Day 7 — A percentage change can flip a comparisonYear 11 Maths · T1 W1–2 · Day 7 lesson

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Year 11 / Term 1 / Weeks 01 02 / Mathematics

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

Open for this lesson: Sources and materials · Check guide.

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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

Success: apply a rise to the correct base then redo a whole-pack choice.

  1. Retrieve · 2 min. Learners state the original two-large total $54 and three-small total $55.20.
  2. Model · 4 min. Large pack alone rises 10%: $27×0.10=$2.70; new pack $29.70; two $59.40.
  3. Guided compare · 5 min. Keep small pack unchanged: three $55.20. Difference $4.20; the previously lower total is now higher. Clearly mark what-if.
  4. Independent check · 7 min. Learners calculate a separate 8% rise on fictional $50 design fee = $54, and explain why they must not add 8 dollars.
  5. Challenge · 4 min. Partners test whether 10% off $29.70 returns to $27; it gives $26.73. Discuss base changes; calculate $2.70/$29.70≈9.09% if ready.
  6. Exit · 3 min. Key: after the 10% large-pack-only rise, three small packs are $4.20 lower for 24 sheets, before unknown delivery.