Common Core (The Complex Number System)
Common Core for Mathematics
Videos and lessons to help High School students know there is a complex number i such that i2 = –1, and every complex number has the form a + bi with a and b real.
Suggested Learning Targets
- I know what are imaginary numbers and complex numbers.
- I can write complex number in the form a + bi with a and b real.
- I can simplify square roots of negative numbers using i.
- I can rewrite arbitrary powers of i.
Common Core: HSN-CN.A.1
Imaginary and Complex Numbers
Imaginary Numbers Introduction
= − 1
Solving Equations with i in the solution.
What Are Complex Numbers?
Imaginary Number: Square is a nonpositive real number
Complex Number: Square is a nonnegative real number
0 is both a complex and an imaginary number
Complex number has the form a + bi
How to plot complex numbers on the Cartesian plane?
Introduction to i and Imaginary Numbers
Square Root of Negative Numbers
Simplifying Square Roots of Negative Numbers Using i.
Expressing Square Roots of Negative Numbers with i
This video looks at simplifying square roots with negative numbers using the imaginary unit i. It includes 6 examples.
Rewrite Powers of i
Calculating i Raised to Arbitrary Exponents.
Rewriting Powers of ' i ' - Ex 1
Complex number ' i ', raise it to some different powers, and simplify.
Rewriting Powers of ' i ' - Ex 2
i raise to a negative power.
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