Te reo Māori terms
click each term to open in Te Aka
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 - Area Under a Graph (Practice Questions)Questions PDF · Answers
- CorbettMaths - Area Under a Graph (Textbook Exercise)Questions PDF · Answers
- CorbettMaths - IntegrationQuestions PDF · Answers
Terminology
- Definite integral
- Limits of integration
- Area under the curve
- Trapezium rule
- Numerical approximation
- Area between two curves
- x-intercept
- Absolute value
Task goals
- Foundation: Estimate the area under a simple curve between two given x-values using grid-square counting or a basic trapezium approximation, and evaluate a definite integral of a single power-of-x term.
- Proficient: Evaluate the definite integral of a polynomial or simple rational/exponential function to find the exact area under a curve between two stated x-bounds.
- Excellence: Find the area enclosed between a curve and the x-axis when the curve crosses the axis (splitting the integral and taking absolute values), or the area between two intersecting curves.
Where this fits
What leads into this objective, and where it goes next.
Before
Measurement applications: compound shapes
Area (including circles and composite shapes)
Volume of prism
You are here
Area Under a Curve (Integration)
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.