Reflection: Developing a Conceptual Understanding Complex Numbers and Trigonometry - Section 2: Finding the Trigonometric Form of a Compex Number

 

In this lesson I decided to start with a specific example to develop and then move to generalize and develop a formula for writing a complex number in trigonometric form.

As I designed the lesson I had to determine what would help students understand the material the best. I used many mathematical practices as I developed the lesson. I began by determining what the goal of the lesson. Next I looked at what ideas students would need to understand to meet the goal.

For this lesson I realized that the process used to find the trigonometric form is the same as finding the component form for vectors. Seeing how the process made me consider how I could help the students see the similarity in the process. I also thought about the prior knowledge of the students.

For students looking at a specific problem is easier than the more general rules. By working and discussing a specific problem the students are then able to take the process and write a the general formula.

The process I use when writing a lesson is the process I want students to use as they learn new material.

  How I developed this lesson
  Developing a Conceptual Understanding: How I developed this lesson
Loading resource...
 

Complex Numbers and Trigonometry

Unit 11: Vectors and Complex Numbers
Lesson 6 of 11

Objective: SWBAT write a complex number in trigonometric form.

Big Idea: How is it possible to write a complex number using trigonometric functions?

  Print Lesson
Add this lesson to your favorites
Subject(s):
Math, Precalculus and Calculus, complex numbers, Trigonometric form of complex numbers, Polar form of complex numbers, Operations with complex number
  45 minutes
imaginary
 
1
2
3
4
5
Similar Lessons
 
Inconceivable! The Origins of Imaginary Numbers
Algebra II » The Complex Number System
Big Idea: Imaginary numbers aren't any more imaginary than negative numbers!
  Favorites(3)
  Resources(14)
Fort Collins, CO
Environment: Suburban
Jacob Nazeck
 
Trigonometric Form of Complex Numbers
12th Grade Math » Additional Trigonometry Topics
Big Idea: Complex numbers can be represented on a graph?!
  Favorites(2)
  Resources(10)
Troy, MI
Environment: Suburban
Tim  Marley
 
Something went wrong. See details for more info
Nothing to upload
details
close