Complex Numbers

2021.02.25 1:06 pm - 1:47 pm

Teaching point: How do we perform operations with complex numbers?

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Do Now

Which number section will fill up first and how do you know? Keep your answer in your head and type it in the chat when I tell you to.

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What is i?

Intro to the imaginary numbers (video) | Khan AcademySal introduces the imaginary unit i, which is defined by the equation i^2=-1. He then gets to know this special number better by thinking about its powers.

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Powers of i

Powers of the imaginary unit (video) | Khan AcademyThe imaginary unit i is defined such that i²=-1. So what's i³? i³=i²⋅i=-i. What's i⁴? i⁴=i²⋅i²=(-1)²=1. What's i⁵? i⁵=i⁴⋅i=1⋅i=i. This pattern repeats itself all the time, so we can quickly tell what iⁿ for any positive integer n.

Watch this Video and Complete Part 2

Simplifying Radicals

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Operations with Complex Numbers

Agenda

Do Now (5- 10 minutes)

Videos ( 10 - 15 minutes)

Assignment Completion (10 - 15 minutes)

Still need more help? Complex Numbers Notes

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2021.02.22 Imaginary Numbers Notes A2

Imaginary Numbers Assignment Part 1, 2 and 3

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Complex Numbers Maze

Started yesterday and due Friday

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