Extend the Real Number System to Understand the Complex Number System

This Extend the Real Number System to Understand the Complex Number System video also includes:

This brief, but powerful, video presentation gives a strong introduction to the origin of the complex number system and how it fits into the much more familiar real numbers. Starting with a review of the real numbers and imaginary numbers, care is taken to define vocabulary and introduce concepts logically and with precision. A great lesson to pull together the theory of complex numbers before really diving into the mechanics of the algebra that most curriculums emphasize.

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CCSS: Designed
Instructional Ideas

  • Extend by introducing advanced learners to graphing complex numbers on the complex plane
  • Link to class website for viewing before class, in a flipped-classroom model, or during homework for on-demand remediation
  • Have learners play a modified game of pin-the-tail-on-the-donkey by having them pin assigned numbers in the appropriate sections of a board-sized number system Venn diagram
Classroom Considerations

  • Lesson access requires teacher creation of a free LearnZillion account
  • Viewing of video resource needs updated Adobe Flash player and Internet access
  • Printable lesson note slides are available under the Additional Materials tab
Pros

  • Easily understood narration of lesson
  • Important terms and vocabulary are reviewed to start the presentation
  • Diagrams presented through the lesson are consistent and logical
  • Worked examples progress in difficulty and cover many of the numerical stumbling blocks learners encounter, like fractions or irrational coefficients
Cons

  • No guided or independent practice problems provided
Common Core