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)
NA6-4NA6-5
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-02
Resources
- CorbettMaths - Graphical Inequalities 1 (Textbook Exercise)Questions PDF · Answers
- CorbettMaths - Graphical Inequalities 2 (Multiple Regions)
Terminology
- Linear inequality
- Feasible region
- Boundary line
- Vertex
- Constraint
- Objective function
- Optimisation
- Maximum
- Minimum
Task goals
- Foundation: Graph a single linear inequality (e.g. $y \le 2x + 3$) on a set of axes, shading the correct side of the boundary line.
- Proficient: Graph a system of two or three linear inequalities together to identify and shade the bounded feasible region, then list the coordinates of its vertices.
- Excellence: Given a real-world constraint scenario, form the system of inequalities, graph the feasible region, and evaluate a given objective function at each vertex to determine the optimal (maximum or minimum) solution.
Where this fits
What leads into this objective, and where it goes next.
Before
Solving Linear Inequalities
Solving Equations with Algebraic Fractions (Rational Equations)
Using algebra to find the point of intersection of two lines
You are here
Linear Programming: Feasible Regions and Optimisation
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. No extension resources on the site yet.
Also under NA6-4:
Also under NA6-5:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.