Complex Numbers and Operations

What do animated videos have to do with mathematics? Using operations of complex numbers and their representations on the complex plane, high schoolers observe how mathematics could be used to move animations. The lesson provides an...

This is a to-the-point complex number skills worksheet with a fun addition of completing a maze. Learners solve problems to determine if answers are imaginary or not, in order to work their way through the maze. An average level of...

Now there are parentheses in these equations? As the lessons continue in this series, equations get progressively more complex. Eighth graders solve equations by applying the distributive property before using inverse operations. 

In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He starts showing how to divide two complex numbers, but runs out of time and continues...

Sal discusses the usefulness of the conjugate of the complex number in this video. First, he shows how to add a complex number and its conjugate graphically and algebraically. Then, he shows how to simplify a rational expression with...

This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...

This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...

In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He shows how to divide two complex numbers but runs out of time and continues in the...

Sal solves the problem x^3 = 1 for all real and complex roots using the exponential form of the complex number. He shows how the roots found in the exponential form are the same as those in a more traditional form of a complex number...

This video gives an excellent overview of the different representations of a complex number. First, Sal reviews a pictorial representation of a complex number as an Argand diagram, then shows how to find the modulus and the argument of a...