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Day 9 · Read a quadratic from vertex formYear 11 Methods · T1 W1–2 · Day 9 lesson

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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: identify graph features of Card I without claiming mastery of the 7-hour sub-topic. Say: “A squared term cannot be negative for real x.”

0–2: Recall a square table for x² from prior learning.
2–7: Model substituting x=2 and x=1 into (x-2)²+1; connect symmetry.
7–13: Students fill the five-row table and plot or arrange points.
13–20: Explain turning point, axis, y-intercept and why there are no real x-intercepts.
20–25: Ask what changes if the final +1 becomes -1; note as preview, not required proof today.

Routes: table and hand sketch; verbal walkthrough of mirrored x-values with captured coordinates; place five labelled point tiles on a tactile grid and dictate features. Other domains: Day 9 swaps. Optional/home: draw two different curves of the form (x-h)²+k and compare their turning points. Move: if a learner calls (2,1) an x-intercept, point to the definition y=0 for x-intercepts.

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