Multiplying complex numbers geometrically is complicated. Find an easier way with a short video that explains the process of multiplying complex numbers on the complex plane. The connection with the process and the angles and moduli sets up the explanation of multiplication and division of complex numbers in polar form. 

Concepts

complex numbers, complex plane

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Additional Tags

math

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Instructional Ideas

• Show at the beginning of your lesson as a warm-up activity
• Encourage your class to watch on their own time, either in a computer lab or for homework

Classroom Considerations

• A review on determining the measure of an angle using arc tangent may be needed
• The algebraic multiplication of complex numbers may need to be reinforced in order to show the geometric process works
• The seventh video in a nine-video series

• This video is hosted on YouTube

Pros

• Connects to the previous video and provides the solution to the question asked at the end of the last video
• Shows in an engaging manner the geometric representation of the algebraic concept of multiplying complex numbers

Cons

• None

Common Core

HSN-CN.B.4 HSN-CN.B.5 MP1 MP5