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)
NZC26-P4-ALG-ER-K-Y9-04
Resources
- CorbettMaths - IntegrationQuestions PDF · Answers
Terminology
- Anti-differentiation
- Antiderivative
- Reverse power rule
- Constant of integration
- General antiderivative
- Particular antiderivative
- Boundary condition
- Initial condition
Task goals
- Foundation: Anti-differentiate single power terms such as $ax^n$ using the reverse power rule, writing the general antiderivative with $+c$.
- Proficient: Anti-differentiate polynomial expressions term by term and find the particular antiderivative when given a point that lies on the original curve.
- Excellence: Apply anti-differentiation within a contextual or rates-of-change problem, including reconstructing a displacement or original function from a given derivative and initial condition, and interpreting the result.
Where this fits
What leads into this objective, and where it goes next.
Before
Gradient
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Anti-Differentiation: Reversing the Power Rule
Next
No further statements exist yet for the next step on this topic in the data.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.