Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-5NA6-7
New NZC (2026)
NZC26-P4-ALG-ER-K-Y10-07
Resources
- Dr Austin Maths - Shading Graphical Inequalities Practice GridQuestions PDF · Answers
- Dr Austin Maths - Describing Graphical Inequalities Practice GridQuestions PDF · Answers
- CorbettMaths on graphical inequalities
Terminology
- inequality
- boundary line
- solid line
- dashed line
- shaded region
- feasible region
- greater than
- less than
- greater than or equal to
- less than or equal to
Task goals
- Foundation: Graph a single linear inequality such as $y > 2x - 1$ on a grid, correctly choosing a solid or dashed boundary line and shading the correct side.
- Proficient: Graph linear inequalities given in forms requiring rearrangement (e.g. $2x + 3y \leq 12$), including horizontal/vertical boundary cases.
- Excellence: Graph a system of two or more linear inequalities on the same axes, identify and describe the resulting feasible region, and interpret it in a real-world context.
Where this fits
What leads into this objective, and where it goes next.
Before
Solving quadratics
Expanding single and double brackets
Expanding and Factorising Algebraic Expressions
You are here
Graphing Linear Inequalities as a Region
Know
The solution to a linear inequality is a set of values which may be represented with a number line.
Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y10-07
Also under NA6-5:
- Linear Programming: Feasible Regions and Optimisation
- Solving inequalities
- Solving Linear Inequalities
- Solving Linear Inequalities
Also under NA6-7:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.