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 - Quadratic Formula Practice QuestionsQuestions PDF · Answers
- CorbettMaths - Completing the Square Practice QuestionsQuestions PDF · Answers
Terminology
- Quadratic formula
- Completing the square
- Turning-point form
- Monic quadratic
- Discriminant
- Surd form
- Irrational roots
Task goals
- Foundation: Substitute coefficients into the given quadratic formula to solve simple monic quadratics with rational or surd solutions.
- Proficient: Solve non-monic quadratics using the quadratic formula, including cases with irrational roots rounded to a given number of decimal places, and complete the square for monic quadratics.
- Excellence: Complete the square for non-monic quadratics to identify turning-point form and justify the number/nature of real roots using the discriminant.
Where this fits
What leads into this objective, and where it goes next.
Before
Completing the Square
Factorising double brackets (with a leading coefficient of 1)
Expanding double brackets
You are here
Solving Quadratics Using the Quadratic Formula and Completing the Square (Combined)
Do
Solving quadratic equations that are factorised or of the form x^2 + c = 0 (where c is an integer), and connecting the solutions to the x-intercepts of the related graph
Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y10-03
Also under NA6-5:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.