What you need to know
Check yourself against these “I can” statements.
- I can plot complex numbers on an Argand diagram
- I can find the modulus and argument of a complex number
- I can write a complex number in modulus–argument form
- I can draw loci and shade regions on an Argand diagram
Practise this topic
6 resourcesComplex Numbers Review (Year 1)
Multi-part exam-style questions reviewing the Core Pure 1 complex numbers and Argand diagram chapters, with marks for each part: Cartesian form and equations (z and z*, a real parameter), polynomials with complex roots (cubics…
🧮 ToolArgand Diagram Explorer
Drag points on a large Argand diagram and watch loci and regions drawn live, with each complex equation and its Cartesian equation beside it. Basic loci (circles, half-lines, perpendicular bisectors, greatest and least |z|)…
🎯 GameComplex Countdown
Countdown with complex numbers in three modes: a + bi (real, imaginary and complex tiles with + − × ÷), modulus–argument (tiles and target in exponential form reⁱᶿ, multiplying and dividing by combining moduli and arguments), and…
🧩 ConnectionsComplex Equations
Four equations (a = b × c, a = b ÷ c, a = b + c, a = b − c), their four answers and eight complex numbers in a + bi or modulus-argument form: group each equation with its answer and the two numbers that make it true.
🧩 ConnectionsComplex Forms
Each group is one complex number as modulus-argument form (argument outside −π to π), a + bi, a calculation and a fraction to rationalise. From Standard the numbers are z, its conjugate, −z and iz.
🧩 ConnectionsComplex Numbers
Each group is one complex number written four ways: Cartesian, conjugate, modulus-argument, a sum, a product, a quotient, a power, or a root of a quadratic.
Topics in this unit
- 2.1 Argand diagrams · 2 resources
- 2.2 Modulus and argument · 2 resources
- 2.3 Modulus–argument form of complex numbers · 2 resources
- 2.4 Loci in the Argand diagram · 2 resources
- 2.5 Regions in the Argand diagram · 1 resource
These are the pages for Argand diagrams in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.