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Day 9 — Model a real choice without hidden assumptionsYear 5 Maths · T1 W1–2 · Day 9 lesson

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Year 5 / 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: test equal-box plans against both arithmetic and constraints. Prepare fictional 36-book scenario. (AC9M5N02, AC9M5N09)

  1. Frame · 2 min. Read the constraint: six boxes available, capacity eight each. This is an invented problem.
  2. Model · 4 min. Put six books in each available box: 6×6=36, 6≤8, so equal sharing and capacity both work.
  3. Guided options · 5 min. Test four boxes of nine: arithmetic works, but nine exceeds each box's capacity of eight. Test five boxes: 7 each and one left; not equal shares of all 36.
  4. Independent choice · 7 min. Learners recommend a plan in a table number of boxes / books each / spare capacity / constraint. They may recommend four boxes of nine only if boxes with capacity at least nine become available, and say why.
  5. Partner audit · 4 min. Partners ask whether the plan fits every stated condition. No prices have been supplied, so no one can calculate cheapest.
  6. Exit · 3 min. “Why isn't four boxes of nine the immediate plan?” Key: each available box holds at most eight books.