Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-5
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-03
Resources
- CorbettMaths - Completing the Square Practice QuestionsQuestions PDF · Answers
Terminology
- completing the square
- completed square form
- monic quadratic
- leading coefficient
- vertex form
- turning point
- $(x+p)^2+q$
Task goals
- Foundation: Complete the square for monic quadratics with integer coefficients, e.g. rewriting $x^2+bx+c$ as $(x+p)^2+q$.
- Proficient: Complete the square for quadratics with a leading coefficient not equal to 1, and use the result to state the turning point of the corresponding parabola.
- Excellence: Use completing the square to solve quadratic equations exactly (including irrational roots), derive the quadratic formula, or solve optimisation problems requiring a vertex-form argument.
Where this fits
What leads into this objective, and where it goes next.
Before
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Completing the Square
Also under NA6-5:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.