Imaginary Numbers Are Real (Part 5: Numbers are Two Dimensional)

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
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
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