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Day 7 — Same size, different resultsYear 8 Maths · T1 W1–2 · Day 7 lesson

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Year 8 / Term 1 / Weeks 01 02 / Mathematics

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

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Success: calculate proportions and describe variation between two same-size model random samples. (AC9M8ST02, AC9M8ST03)

  1. Recall · 2 min. Both A and B have 20 responses. Ask whether identical size requires identical counts.
  2. Model · 4 min. Bicycle share A is 3/20=15%; B is 4/20=20%.
  3. Guided table · 5 min. Compute bus shares A 7/20=35%, B 5/20=25%; ask which category changed more in percentage points.
  4. Independent comparison · 7 min. Learners choose walk/roll or other, compute both shares, and say why two model samples can differ even when each uses a fair chance process.
  5. Visual check · 4 min. Show 20-cell grids or tactile tokens for each sample; prevent a 5-percentage-point difference being mistaken for five people.
  6. Exit · 3 min. “How many percentage points apart are bicycle shares A and B?” Key: 5 points, one person out of 20.

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