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# Complex Numbers

Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.
• Read

## Complex Numbers

by CK-12 //at grade

Definition of complex numbers and the complex number system, basic manipulation of complex numbers.

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• Read

## Defining Complex Numbers

by CK-12 //at grade

This lesson covers the powers of i, adding, and subtracting complex numbers.

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• Read

## Arithmetic with Complex Numbers

by CK-12 //at grade

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• PLIX

## Complex: Imaginary Number Spinner

by CK-12 //at grade

Complex Numbers Interactive

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• PLIX

## Complex Values

by CK-12 //at grade

Complex Numbers Interactive

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• Video

## Introduction to i and Imaginary Numbers

by CK-12 //at grade

Introduces the topic of imaginary numbers.

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• Video

## Complex Numbers

by CK-12 //at grade

Dives into imaginary numbers deeper and talks about complex number.

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• Video

## Complex Numbers (part 1)

by CK-12 //at grade

Introduces complex numbers and how to add, subtract, and multiply complex numbers.

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• Practice
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## Complex Numbers Practice

by CK-12 //at grade
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• While Read

## Defining Complex Numbers Stop and Jot

by CK-12 //at grade

Strengthen ability to analyze word meaning and symbolic or mathematical notation from context and introduce students to unfamiliar vocabulary or notation. Further solidify understanding by defining new vocabulary words and notation as well as generating personal examples of words, concepts, and notation usage.

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• Real World Application

## Getting Lost in a Pineapple

by CK-12 //at grade

Learn about the Mandelbrot Set of fractals that is created using complex numbers.

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