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-NUM-NSO-K-Y10-01
Resources
- Dr Austin Maths - Calculating with Complex Numbers Fill in the BlanksQuestions PDF · Answers
Terminology
- Imaginary unit
- Complex number
- Real part
- Imaginary part
- Powers of i
- Complex conjugate
- Modulus
- Argument
- Argand diagram
- Polar form
- De Moivre's theorem
Task goals
- Foundation: Define the imaginary unit i, simplify powers of i, and add, subtract and multiply complex numbers in rectangular form a+bi.
- Proficient: Use complex conjugates to divide complex numbers, find the modulus and argument, plot complex numbers on an Argand diagram, and solve quadratic equations with complex roots.
- Excellence: Convert between rectangular and polar (trigonometric) form, apply De Moivre's theorem to powers and roots, and solve polynomial equations with complex conjugate root pairs.
Where this fits
What leads into this objective, and where it goes next.
Before
Irrational numbers
You are here
Introduction to Complex Numbers
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.