Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
- No direct alignment recorded
New NZC (2026)
NZC26-P4-MEA-MEA-P-Y10-10
Resources
- Dr Austin Maths - Complex Numbers in Modulus-Argument Form Match-UpQuestions PDF · Answers
- Dr Austin Maths - Calculating with Complex Numbers Fill in the BlanksQuestions PDF · Answers
Terminology
- Modulus
- Argument
- Polar form
- Rectangular form
- Argand diagram
- De Moivre's theorem
- nth roots
Task goals
- Foundation: Find the modulus and argument of a given complex number and convert it between rectangular form a+bi and polar form r(\cos\theta+i\sin\theta).
- Proficient: Multiply and divide complex numbers expressed in polar form and interpret the results geometrically on an Argand diagram.
- Excellence: Apply De Moivre's theorem to evaluate powers and roots of complex numbers in polar form, including finding all nth roots of a complex number.
Where this fits
What leads into this objective, and where it goes next.
Before
Measurement applications: Pythagoras
Pythagoras theory finding short and long sides
Multi-step Pythagoras' theory
You are here
Complex Numbers in Polar Form
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. No extension resources on the site yet.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.