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
Terminology
- Quadratic formula
- Coefficient
- Discriminant
- Real roots
- Standard form
- Surd form
Task goals
- Foundation: Substitute given integer values of a, b, and c directly into the quadratic formula to find two rational solutions.
- Proficient: Rearrange a quadratic equation into standard form first, then apply the formula to obtain exact surd or decimal solutions.
- Excellence: Use the discriminant to determine the number and nature of real roots and apply the formula within worded or graphical problem contexts.
Where this fits
What leads into this objective, and where it goes next.
Before
Level 2 algebra review
Solving Equations with Algebraic Fractions (Rational Equations)
Completing the Square
You are here
Solving Quadratic Equations Using the Quadratic Formula
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.