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?

This package is a total of 40 QUALITY PAGES!

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✫ THIS PACKAGE IS ALSO INCLUDED IN MY BUNDLES:

1) Complex Numbers: Polar and Rectangular Forms

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

✫ RELATED LESSONS:

1) Intro to Polar & Rectangular Coordinates

2) Intro to Polar & Rectangular Equations

✫ Get a SNEAK PEEK of this lesson in my YouTube Video

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Included:

- Step-by-step answer key and scaffolded notes to EVERYTHING

- Full lesson - PDF and SmartBoard Versions: 14 Slides

- Worksheet with answer key

- Homework: Very detailed and color-coded answer key to Kuta's free worksheet.

Topics in 14-Slide Lesson:

➤ Complex numbers (rectangular) review worksheet:

- modulus, complex numbers in standard form, and graphing in the complex plane

➤ Reviews key components of real vs. complex planes [rectangular] to make important connections for significant understanding

➤ Shows proof on how to derive formulas of polar and rectangular forms

➤ How to convert from rectangular complex numbers to polar form, and vice versa.

➤ Graphing complex polar points in complex polar plane

**Note: You can access the homework worksheet for free thanks to Kuta.

But included in this zip file is my step-by-step, color-coded answer key to Kuta's worksheet. Note that when converting from polar to rectangular forms, in the answer key I practice using x=rcos(theta) and y=rsin(theta). But this is not necessary.

Have you forgotten everything about this topic? Then this resource is also perfect for you! The lessons and all notes included are designed to make both the teacher and the student a master of this material! Not one detail is left out!

These are very thoughtfully planned and scaffolded SmartBoard lessons that go in perfect sequence. Students will be able to make deep connections with previous PreCalculus topics, derive formulas and discover/understand important information. These are such carefully designed lessons that students will leave the classroom without any questions! The lessons go into every possible detail, includes examples, and much more!

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