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Day 1 — What a pair of numbers can showYear 10 Maths · T1 W1–2 · Day 1 lesson

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Year 10 / 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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Codes: AC9M10ST03. Goal: identify paired variables, units and a plausible association without claiming cause. Prepare: Table B and blank scatterplot frame.

  1. Launch · 2 min. Say: “These six routes are invented. If a route is longer, is its listed travel time usually longer?” Ask which two quantities form each pair.
  2. Model · 5 min. Plot (2,7) and (4,13) with distance in km on the horizontal axis and duration in minutes vertically. Name the ordered-pair convention and units. Make the axes start at zero on this frame.
  3. Guide · 6 min. Pairs plot (6,18) and (8,26) then read back the coordinates. Ask why exchanging axes would change the question but not the source pairs.
  4. Complete and interpret · 7 min. Students add (10,31) and (12,35), then describe positive, roughly linear association in this invented set. A learner may describe the ordered pairs in text instead of drawing.
  5. Check a leap · 3 min. Ask: “Can this plot guarantee a real 12 km trip takes 35 minutes?” No: the values are fictional and stops/traffic are unspecified. Discuss what the graph can and cannot support.
  6. Exit · 2 min. Everyone labels the variables and writes “as distance increases, listed duration generally increases” with the fictional scope. Sample focus explanations.

Access: raised or large-grid axes, coordinate list, partner operated marking or screen-reader table. The construct is association, not eyesight or pen control.