Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
- No direct alignment recorded
New NZC (2026)
- No direct alignment recorded
Resources
- Other: Not in Beta Textbook; no verified external resource found for this exact skill at a = +-1 (sketching a parabola from given intercepts/factorised equation) -- CorbettMaths, Dr Austin Maths and nzmaths.co.nz cover general-a sketching from vertex or standard form, not this restricted-a intercepts-to-sketch routine
Terminology
- x-intercept
- y-intercept
- Factorised form
- Axis of symmetry
- Vertex
- Opens upward
- Opens downward
Task goals
- Plot the two x-intercepts and the y-intercept from the given information (text list or factorised equation).
- Find the axis of symmetry midway between the two x-intercepts, x = (r1 + r2)/2.
- Find the vertex by substituting the axis-of-symmetry x-value into the factorised form, then plot it on the axis of symmetry.
- Sketch a smooth, symmetric curve through the three intercepts and the vertex, opening in the direction given by the sign of a.
- When both x-intercepts sit on the same side of the y-axis, reason the sign of a from a(0 - r1)(0 - r2) rather than reading it directly off a labelled direction.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.