Students will be able to
- understand that the modulus of a complex number is equal to the square root of the sum of the squares of the real and imaginary parts of the number,
- find the modulus of a complex number in Cartesian form,
- understand that the modulus of a complex number is the distance of the complex number from the origin in a complex plane,
- understand that the modulus of the complex conjugate is equal to the modulus of its complex number,
- use the properties of the modulus of complex numbers to solve problems.
Students should already be familiar with
- the Pythagorean theorem,
- complex numbers in Cartesian form,
- operations on complex numbers in Cartesian form,
- Argand diagrams,
- complex conjugates and their properties.
Students will not cover
- complex numbers in exponential or polar form.