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)
NA6-8
New NZC (2026)
NZC26-P4-ALG-ER-K-Y9-04
Resources
- CorbettMaths - Stationary Points
- CorbettMaths - Optimisation ProblemsQuestions PDF · Answers
Terminology
- Stationary point
- Turning point
- Local maximum
- Local minimum
- Point of inflection
- First derivative test
- Second derivative test
- Concave up
- Concave down
- Optimisation
Task goals
- Foundation: Find stationary points of a simple polynomial by solving f'(x)=0 and read off their coordinates.
- Proficient: Classify each stationary point as a maximum, minimum, or point of inflection using the first- or second-derivative test.
- Excellence: Apply differentiation to solve an optimisation problem in context, justifying why the found point gives a maximum or minimum value.
Where this fits
What leads into this objective, and where it goes next.
Before
Gradient
You are here
Finding and Classifying Maximum and Minimum Points Using Calculus
Next
No further statements exist yet for the next step on this topic in the data.
Also under NA6-8:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.