Covered in AA HL and AI HL, complex numbers are introduced in Cartesian form z = a + bi, with students learning the terminology of real and imaginary parts, conjugates, modulus and argument, and representing complex numbers on the Argand diagram. Operations — addition, subtraction, multiplication, division and powers — are performed both by hand and with technology. In AI HL, complex numbers also appear as solutions to quadratic equations with negative discriminant, and the geometric interpretation of operations on the Argand diagram is emphasised.
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Start by downloading the cheat sheet and the vocabulary below. After that, move to the video lessons with their respective exercise lists.
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Video lessons
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