HSN-CN.B.4

(+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.

 
11 Lesson(s)
   

Trigonometric Form of Complex Numbers

12th Grade Math » Unit: Additional Trigonometry Topics
12th Grade Math » Unit: Additional Trigonometry Topics
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Complex numbers can be represented on a graph?!

 
Favorites (2)
 
Resources (10)
 
Reflections (1)
cplane2
   

Inconceivable! The Origins of Imaginary Numbers

Algebra II » Unit: The Complex Number System
Algebra II » Unit: The Complex Number System
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Imaginary numbers aren't any more imaginary than negative numbers!

 
Favorites (3)
 
Resources (14)
 
Reflections (1)
euler
   

De Moivre's Theorem

12th Grade Math » Unit: Additional Trigonometry Topics
12th Grade Math » Unit: Additional Trigonometry Topics
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

How did mathematicians raise numbers to high powers before there were calculators?

 
Resources (11)
 
Reflections (1)
untitled
   

Unit Review: Additional Trigonometry Topics

12th Grade Math » Unit: Additional Trigonometry Topics
12th Grade Math » Unit: Additional Trigonometry Topics
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Give your students time to grapple with the important concepts of this unit.

 
Favorites (1)
 
Resources (6)
untitled
   

Quadratic Functions Revisited, Day 2

Algebra II » Unit: The Complex Number System
Algebra II » Unit: The Complex Number System
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Students will rely on the structure of the quadratic equation, as well as dynamic graphical representations, to understand complex roots more deeply.

 
Favorites (1)
 
Resources (12)
quad roots and linear coeff
   

Review of Complex Numbers

12th Grade Math » Unit: Vectors and Complex Numbers
12th Grade Math » Unit: Vectors and Complex Numbers
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

How is a complex number in standard form similar to a vector in unit vector form?

 
Resources (16)
 
Reflections (1)
complex
   

Complex Numbers and Trigonometry

12th Grade Math » Unit: Vectors and Complex Numbers
12th Grade Math » Unit: Vectors and Complex Numbers
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

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

 
Resources (23)
 
Reflections (3)
imaginary
   

Operations of Complex Numbers in Trigonometric Form

12th Grade Math » Unit: Vectors and Complex Numbers
12th Grade Math » Unit: Vectors and Complex Numbers
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

Operations on complex numbers are easier when the complex number is in trigonometric form.

Standards:
 
Resources (12)
computation complex
   

DeMoivre's Theorem

12th Grade Math » Unit: Vectors and Complex Numbers
12th Grade Math » Unit: Vectors and Complex Numbers
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

If I know how to multiply complex numbers how can I find powers of complex numbers?

 
Resources (9)
demoivre
   

Roots of Complex Numbers

12th Grade Math » Unit: Vectors and Complex Numbers
12th Grade Math » Unit: Vectors and Complex Numbers
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

How can find the nth roots of a complex number?

 
Resources (15)
 
Reflections (1)
demoivre
   

Review

12th Grade Math » Unit: Vectors and Complex Numbers
12th Grade Math » Unit: Vectors and Complex Numbers
Katharine Sparks
Independence, MO
Environment: Suburban
 
Big Idea:

Through graphic organizers students will review ideas of vectors and complex numbers.

 
Resources (3)
review cheer
Common Core Math
 
Something went wrong. See details for more info
Nothing to upload
details
close