Te reo Māori terms
click each term to open in Te Aka
Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
- No direct alignment recorded
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-01
Resources
- Dr Austin Maths - Multiplying and Dividing Complex Numbers Fill in the BlanksQuestions PDF · Answers
- 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
- Complex number
- Imaginary unit
- Complex conjugate
- Rationalise the denominator
- Modulus
- Argument
- Polar form
- De Moivre's theorem
Task goals
- Foundation: Multiply two complex numbers in rectangular form by expanding brackets and simplifying using $i^2=-1$, and divide by rationalising with the conjugate.
- Proficient: Convert complex numbers to polar (modulus-argument) form and multiply or divide them by combining moduli and arguments.
- Excellence: Use products and quotients of complex numbers in polar form to solve problems involving geometric transformations, loci, or powers and roots via De Moivre's theorem.
Where this fits
What leads into this objective, and where it goes next.
Before
Simplifying algebraic fractions
Simplifying and Solving with Algebraic Fractions
Level 2 algebra review
You are here
Complex Number Arithmetic: Multiplying and Dividing
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.