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Day 3 — Plot the possible countsYear 8 Maths · T1 W1–2 · Day 3 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.

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: connect a table to a coordinate graph while respecting whole-number domain. (AC9M8A02, AC9M8A03)

Orient · 2 min. On print axes, x is number of repairs and y is total dollars; ask what (2,32) means.
Model · 4 min. Plot A's (0,18), (2,32), (4,46) and B's (0,0), (2,20), (4,40).
Guided extend · 5 min. Plot both at n=6 and n=8. Locate meeting (6,60).
Independent statement · 7 min. Learners write one sentence about slope per repair and one about intercept. A increases $7 per repair from $18; B increases $10 from $0.
Domain check · 4 min. If lines are drawn to show trend, circle integer x-values as actual cases. Ask why n=4.5 is not a possible repair count here.
Exit · 3 min. “What does (6,60) mean?” Key: six repairs cost $60 under either supplied model.

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