If the square root of negative one exists, where is it on the number line? A math video presents a geometric representation of complex numbers and the complex plane, and then compares it to the geometric representation of real numbers — the number line. The algebra of the powers of i is connected to the complex plane. 

Concepts

complex numbers, complex plane

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Additional Tags

math

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Instructional Ideas

• Use the video in a flipped classroom environment for an introductory lesson to the complex plane
• Prior to the video, have the class determine the pattern with the powers of the square root of negative one

Classroom Considerations

• The fifth video in a nine-video series

• This video is hosted on YouTube

Pros

• A tangible way for learners to access a complex concept
• Video is a versatile tool for any part of your curriculum

Cons

• One slight misconception mentioned in that all numbers do not get larger when raised to a power
• No tangible problems or activities are connected with the video to allow the class to put into action what was learned

Common Core

HSN-CN.A.2 HSN-CN.B.4 MP7 MP8