HSN-CN.B.5

(+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. For example, (-1 + √3 i)3 = 8 because (-1 + √3 i) has modulus 2 and argument 120°.

 
12 Lesson(s)
   

Complex Addition

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

The lowly parallelogram helps students make sense of addition and subtraction of complex numbers.

 
Favorites (2)
 
Resources (18)
 
Reflections (2)
vector addition resized
   

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
   

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
   

The Parallelogram Rule

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

A graphical context makes arithmetic with complex numbers more meaningful and concrete.

 
Favorites (1)
 
Resources (11)
 
Reflections (1)
vector addition 1
   

Complex Arithmetic and Vectors

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

Recognizing an application for complex numbers - vector addition - helps to give them meaning.

 
Favorites (1)
 
Resources (7)
vector addition ans scaling
   

Muliplying Complex Numbers, Day 3 of 4

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

Practice helps students uncover hidden patterns and discover simple rules.

 
Favorites (1)
 
Resources (11)
complex number mod and arg
   

Multiplying Complex Numbers, Day 4 of 4

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

Practice helps students uncover hidden patterns and discover simple rules.

 
Favorites (1)
 
Resources (9)
complex number mod and arg
   

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
   

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
 
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