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-MEA-MEA-P-Y10-03
Resources
- CorbettMaths - IntegrationQuestions PDF · Answers
- CorbettMaths - Area Under a Graph (Practice Questions)Questions PDF · Answers
Terminology
- Definite integral
- Limits of integration
- Fundamental theorem of calculus
- Upper limit
- Lower limit
- Antiderivative
- Net area
- Displacement
Task goals
- Foundation: Evaluate definite integrals of simple polynomial functions using antiderivatives and the fundamental theorem of calculus.
- Proficient: Use definite integrals to calculate the area under a curve, including cases where the curve lies partly below the x-axis.
- Excellence: Apply definite integrals to more complex functions (rational, exponential, or trigonometric) and interpret results in applied contexts such as area between two curves or displacement from velocity.
Where this fits
What leads into this objective, and where it goes next.
You are here
Definite Integrals
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. No extension resources on the site yet.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.