Algebra 2: Resources and Extra Practice - 1.06 Complex Numbers

Algebra 2: Resources and Extra Practice

1.06 Complex Numbers

Essential Questions:

What causes the need for imaginary numbers?
What types of parts are necessary for a complex number?

1.06 lesson.mp4

Lesson 1.06 Video - If video does not load correctly, Click Here to watch the video

Khan Academy Resources

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.

Simplifying roots of negative numbers (video) | Khan AcademySal simplifies √(-52) as 2i√(13).

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.

Intro to complex numbers (video) | Khan AcademySal explains how we obtain complex numbers by adding real numbers and imaginary numbers.

Complex number conjugates (video) | Khan AcademySal finds the conjugate of (7-5i).

Complex Numbers

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