Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA5-9
New NZC (2026)
NZC26-P4-ALG-ER-K-Y9-09NZC26-P4-ALG-ER-K-Y9-10
Resources
- Kuta Software - Graphing Rational Functions (asymptotes, discontinuities, intercepts)Questions PDF · Answers
- CorbettMaths - Exponential GraphsQuestions PDF · Answers
Terminology
- x-intercept
- y-intercept
- gradient
- turning point
- axis of symmetry
- asymptote
- domain
- range
Task goals
- Foundation: Read x- and y-intercepts and describe basic shape features directly off given linear and quadratic graphs.
- Proficient: Determine gradient, turning point coordinates, and axis of symmetry from graphs and equations of quadratic, cubic, and exponential functions.
- Excellence: Analyse and compare combined features (asymptotes, domain/range restrictions, intercepts, turning points, symmetry) across hyperbola, circle, exponential, and cubic graphs to justify conclusions in context.
Where this fits
What leads into this objective, and where it goes next.
Before
Sketching a Straight Line from Its Equation
Linear Graphs from Algebraic Rules (Table of Values)
Drawing straight-line from given equation
You are here
Identifying Features of Graphs (Algebraic, Non-Calculus)
Know
A positive gradient slopes upwards when the graph is read from left to right.
Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-09
Know
A negative gradient slopes downwards when the graph is read from left to right.
Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-10
Also under NA5-9:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.