Development draft · local review needed

Day 5 · Subtract and transfer (public Check A)Year 11 Methods · T1 W1–2 · Day 5 lesson

Prepare this lesson

Year 11 / Mathematical Methods / Term 1 / Weeks 01 02

Part of the full two-week lesson sequence. Check the pack guide and taught point before teaching.

Open for this lesson: Pack guide · Worked swaps · Fresh learner checks · Aids and text routes.

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.

Learner choices

Goal: consolidate Card E, then independently transfer to Check A. Say: “Simplify first, combine matching root parts, and check the sign.”

0–2: Model only sqrt(32)=4sqrt(2) from the practice card.
2–5: Invite sqrt(8)=2sqrt(2) and the exact difference; do not preview check values.
5–17: Students complete fresh Check A. Collect a first response in any route.
17–22: Share public worked key, then ask for a revised reason or calculation in a second colour/voice note.
22–25: Record whether the next need is factor extraction, like-term combination or approximation notation.

Routes: write exact steps; explain aloud with exact expressions captured by a scribe; use square-factor and matching-root strips then dictate the equation. Other domains: Day 5 swaps only after check. Optional/home: devise a subtraction that produces 3sqrt(2) and explain it. Move: if a response is negative where longer minus shorter was requested, compare the two original radicands first. This is not a secure examination.

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