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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.
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CCSS:
Adaptable
Concepts
Additional Tags
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