LESSON 1: ➤ Introduction to Complex Number z as well as definition and correct notation. Reintroduces imaginary number i. Who invented the complex number system? Brief history. Simplifying to Standard Form, Complex Conjugates [for division of complex numbers], Graphing in the Complex Plane, Vectors, Modulus/Magnitude. Operations of complex numbers [add, subtract, multiply, divide]. Deriving the modulus |z| formula using the Pythagorean Theorem. Warm Ups include relevant and foundational skills such as multiplying/adding and simplifying radicals, simplifying expressions using properties of exponents, and simplifying a negative radical, producing the imaginary number i.

LESSON 2: ➤ What is polar and rectangular form? How do they relate to complex numbers? Deriving both polar & rectangular complex forms, and how to convert from a polar form complex number to rectangular form, and vice versa.

Plotting/Graphing complex polar and rectangular points. What is the modulus |z| in the complex plane, and how is it related to the radius, r, of the real plane? How does this radius, r, connect to polar form?

LESSON 3: ➤ What is the DeMoivre's Theorem of polar complex numbers? How do we use it in problems? Proof of Product Rule discovery worksheet, and also using Quotient Rule formula with examples. Warm Up reviews converting polar complex numbers to rectangular form. Introductory lesson with class & homework worksheets with step-by-step notes/key to everything!

THIS PACKAGE INCLUDES 142 QUALITY PAGES!

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✫ THIS ZIP-FILE IS ALSO INCLUDED IN MY LARGER BUNDLE:

Full Unit - Complex Numbers [Polar, Rectangular, & Euler Forms]

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INCLUDED:

- Step-by-step answer keys / notes to EVERYTHING

- 4 Full lessons [81 slides] - PDF & SmartBoard Versions

- 3 Worksheets

- 1 Packet [4 pages]

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1) Polar & Rectangular Coordinates and Equations

2) Complex Numbers: Polar and Rectangular Forms

3) Full Unit - Complex Numbers [Polar, Rectangular & Euler Forms]

4) Introduction to the Unit Circle

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6) Introduction & Graphing Sine and Cosine Functions

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