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Day 6 — Who is the population?Year 8 Maths · T1 W1–2 · Day 6 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.

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.

Success: distinguish a full group from a sample and note practical/ethical limits. (AC9M8ST01, AC9M8ST04)

  1. Frame · 2 min. Read fictional question: “What travel modes occur in the imagined 100-student population?” No real classmates are surveyed.
  2. Model · 4 min. Define population 100, census all 100, sample fewer. A census gives full counts in this model but can be costly or intrusive in a real school.
  3. Guided classify · 5 min. Learners label A/B as constructed simple random samples of 20 and C as convenience sample of 20 by racks.
  4. Independent plan · 7 min. Write a way to select 20 from numbered fictional cards giving each one a known equal chance, without replacing selected cards. State one privacy question a real survey would need to resolve.
  5. Peer audit · 4 min. Partner checks whether selection location favours a mode and whether all 100 could be reached by the proposed method.
  6. Exit · 3 min. “Does 20 responses automatically mean a fair sample?” Key: no; how people were selected matters.