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Facilitator Notes:         Finding Conjugates of Complex Numbers

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Facilitator Notes:         Finding Conjugates of Complex Numbers

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image of concept below

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Capacitor Notes

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what is the complex number a capacitor - Google Search

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Complex Impedance for RL and RC. Using complex impedance is an important technique for handling multi-component AC circuits. If a complex plane is used with resistance along the real axis then the reactances of the capacitor and inductor are treated as imaginary numbers.

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what is the symbol for a resistor in a circuit - Google Search

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various electrical and electronic devices or functions, such as wires, batteries, resistors, and transistors, in a schematic diagram of an electrical or electronic circuit.

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Discovery Ed Math Techbook Video "Complex Numbers and Voltage":

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Discovery Ed Math Techbook Video "Complex Numbers and Voltage":

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Troubleshooting: If the video is slow to load please hit the play button and then click on the "download button" on the bottom set of tabs for quick loading of this video

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Discovery Ed Electrical Engineering and complex numbers video.mp4

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COMPLEX NUMBERS using Discovery Ed Math Techbook

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COMPLEX NUMBERS using Discovery Ed Math Techbook

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Please log into your Discovery Ed account and click on Math Techbook to learn more about complex numbers.
1.  Please search for:  Finding Conjugates of Complex Numbers
or
2.  Search for Unit 9.2 Explore Polynomial Factors.  Under the "Discover Tab" and the "Investigate Tab" find Investigation 5

Let's take a couple of minutes to work through and explore complex conjugates!

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Use your existing Discovery Education username and password.

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Problem - Based Learning Project with Complex Numbers (Algebra II content)

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Problem - Based Learning Project with Complex Numbers (Algebra II content)

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Students are presented with the following:

You have been selected for a summer internship with the FL Department of Energy.   Your welcome folder will contain the information you will need for the program.

Phase I of your project requires you to review the electrical circuitry of a housing unit and determine the total impedance (resistance).   You must then develop a linear equation that relates power usage to monthly electrical cost.   Once you have completed the Phase I requirements, you will review your findings with your project leader (your teacher).

During Phase II, you will compare and contrast the electrical costs of each unit.  You must then make a recommendation as to which unit is the most cost efficient and which unit is the least.

You are expected to present your findings in a professional presentation that utilizes data charts and graphs that support your recommendation.  The Department of Energy requires all  members to maintain a sample log of your work and finding on each house unit.  This log must include any notes taken during the day, your work on house computations and must be submitted with your final project.

This project is expected to challenge you as individuals and teams, so work hard and have fun.

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Teachers might invite an Electrical Engineer Guest Speaker into their classroom to further explain any student questions 

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Teachers might invite an Electrical Engineer Guest Speaker into their classroom to further explain any student questions 

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Ryan Massey from Columbia Power and Water came to visit a classroom, to explain how current(I) and voltage(V) relate to electrical engineering and complex numbers, a topic learned in High School Algebra II.

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How do resistors, inductors and capacitors relate to complex numbers (a+bi) or (a-bi)?

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How do resistors, inductors and capacitors relate to complex numbers (a+bi) or (a-bi)?

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Looking at the house Diagrams listed in the previous columns, decide which symbol represents a resistor, an inductor and a capacitor.  

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Looking at the house Diagrams listed in the previous columns, decide which symbol represents a resistor, an inductor and a capacitor.  