Resources in this bundle are intended IN THE FOLLOWING ORDER:

1) Introduction to Complex Numbers: Standard Form, Modulus, Graph, Operations

2) Polar & Rectangular Forms of Complex Numbers

3) Complex Numbers: De Moivre's Theorem & Product/Quotient Rules

3) Euler Form of Complex Numbers

4) Complex nth root

✫ INCLUDED IS 238 QUALITY PAGES!!

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.

LESSON 3: ➤ 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 4: ➤ 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!

LESSON 5: ➤ What is Euler's Formula? How does it relate to Euler's Form or Exponential Form of a complex number z? Introduces formulas for multiplying, dividing, and raising a complex number to a power using only Euler Form. Converting between Polar, Rectangular, and Euler Forms of complex numbers.

LESSON 6: ➤ What is the complex nth root of unity? How do you find the nth root of a complex number in polar, rectangular and Euler's forms? Determining how many complex roots a problem has. Using coterminal angles and De Moivre's Theorem to derive general formulas, and introduces specific "math language" that pertains the formulas.

This package is a total of 238 QUALITY PAGES and 91 LESSON SLIDES!

INCLUDED:

➤ Step-by-step answer keys and scaffolded notes to EVERYTHING!

➤ 6 Lessons

➤ 7 Worksheets

➤ One 4-Page Packet

➤ Total of 91 lesson slides!

CHECK OUT MY BUNDLES:

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

5) Full Unit: Unit Circle, Angles & Radians, Angular/Linear Speed & Arc Length/Area of Sector

6) Introduction & Graphing Sine and Cosine Functions

7) Graph Sine, Cosine & Tangent Functions Step-by-Step

8) Graphing Other Trig Functions [tan, cot, sec, csc]

9) Graphing ALL 6 Trigonometric Functions

10) Mega-Bundle: Evaluate Trig & Inverse Trig Functions / Graph ALL 6 Trig Functions

ALSO CHECK OUT: Precalc Midterm Exam with Study Guide