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Day 7 — Decimal arithmetic in a money contextYear 7 Maths · T1 W1–2 · Day 7 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: AC9M7N06, AC9M7N05. Goal: add and subtract decimals while respecting place value and checking an estimate. Prepare: fictional receipt card in materials.

  1. Estimate · 2 min. “$12.75 and $8.60 should total around $13 + $9 = $22. What exact total?”
  2. Model · 5 min. Align decimal points and cents: 12.75 + 8.60 = 21.35. Say: “Five cents plus zero cents remains five; seven tenths plus six tenths makes thirteen tenths, so we exchange one unit.” Confirm total is close to $22.
  3. Guided balance · 6 min. If a person had $25.00, subtract $21.35 → $3.65. Check 21.35 + 3.65 = 25.00. Explain cents are hundredths of a dollar, not free-floating digits.
  4. Pair practice · 7 min. Solve $42.30 − $17.85 = $24.45 with a place-value sketch or written method, then verify by addition. A ready pair creates a different fictional receipt and checks it. A calculator may confirm after a shown method.
  5. Context check · 3 min. Ask whether $21.35 or $213.50 makes sense for two items near $13 and $9. Use estimate as an error alarm, not a replacement for exact work.
  6. Exit · 2 min. Everyone gives $25.00 − $21.35 = $3.65 and one inverse check. Sample focus explanation.

Access: accessible monospaced decimal columns, tactile decimal marker, adult read-aloud of prices, AAC digits. Never require real spending or disclosure of family money.