Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM5-7
New NZC (2026)
NZC26-P4-GEO-SHP-K-Y9-01
Resources
- No external resource is currently specified.
Terminology
- Locus
- Argand diagram
- Modulus
- Argument
- Perpendicular bisector
- Region
Task goals
- Foundation: Plot and interpret a simple locus such as |z - a| = r as a circle on the Argand diagram, stating its centre and radius.
- Proficient: Sketch loci defined by arg(z - a) = θ (a ray) and |z - a| = |z - b| (a perpendicular bisector), and find the point(s) where two loci intersect.
- Excellence: Derive the Cartesian equation of a locus algebraically from a modulus or argument condition on z = x + iy, including loci described by inequalities that define a region rather than a curve.
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
You are here
Loci in the Complex Plane
Know
A circle is the path traced out by a point moving in a plane and always a fixed distance (the radius) from a central point.
Statement▸
Year 9 · Geometry · Shapes
NZC26-P4-GEO-SHP-K-Y9-01
Also under GM5-7:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.