# 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.

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