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Day 10 — Show a representation, a calculation and a checkYear 7 Maths · T1 W1–2 · Day 10 lesson

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Year 7 / 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.

Codes: AC9M7N04, AC9M7N05, AC9M7N06, AC9M7N09. Goal: sample fortnight learning and set a specific next step. Prepare: Check B, number strip and private station.

  1. Set purpose · 2 min. Say: “You may change your answer if your model shows a better one. Tell me what convinced you.”
  2. Review · 5 min. Together match 1/2, 0.5 and 50%, then estimate $20 + $35. These are familiar rehearsal values, not check answers.
  3. Equivalent and precision prompts · 6 min. All show 3/5 = 0.6 = 60%, mark it on 0–1, and round 7.486 to hundredths → 7.49. Focus learners explain why 0.6 is to the right of one half.
  4. New money problem · 7 min. Read: “A fictional project has $100.00. It spends $26.80 and $35.75. What remains?” Learners model, estimate and solve $37.45; check with the costs. Keep their work before class correction. This is arithmetic in an invented context, not a decision about actual funds.
  5. Feedback · 3 min. Use the actual error: “Your bar shows 3/5 correctly; let's connect six tenths to sixty hundredths.” Or “Your subtraction model is sound; let's align the cents.” Record prompt level.
  6. Close · 2 min. Learner chooses a representation worth keeping. Teacher records separate equivalence, rounding, modelling and calculation evidence, with a next teaching move from the key.

Feasible assessment: one teacher cannot interview a whole class individually in 25 minutes. Use 3–4 minute quiet conversations on Days 8–10 and later where needed; mark unseen independent work as not yet observed.

Rights: Original lessons and fictional contexts © NeuroForgeIO Pty Ltd 2026, SubjectNest, CC BY 4.0. Credit, link and indicate changes. ACARA codes retain separate terms.