HSN-CN.A.1

Know there is a complex number i such that i2 = -1, and every complex number has the form a + bi with a and b real.

 
26 Lesson(s)
   

Review of Polynomial Roots and Complex Numbers

Algebra II » Unit: Polynomial Theorems and Graphs
Algebra II » Unit: Polynomial Theorems and Graphs
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

Arithmetic with polynomials and complex numbers are performed in similar ways, but powers of i have a meaning distinct from powers of variables.

 
Favorites (2)
 
Resources (10)
waterfall trivia
   

Complex Numbers Day 1 of 2

Algebra II » Unit: Complex Numbers and Quadratic Equations
Algebra II » Unit: Complex Numbers and Quadratic Equations
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Multiple models are use to represent computations with complex numbers.

 
Favorites (3)
 
Resources (14)
image complex numbers
   

That's Complex!

Algebra II » Unit: Complex Numbers
Algebra II » Unit: Complex Numbers
Merrie Rampy
Craigmont, ID
Environment: Rural
 
Big Idea:

Introduce your students to complex numbers by letting them be active problem solvers.

 
Favorites (3)
 
Resources (12)
 
Reflections (1)
complex
   

Arithmetic with Complex Numbers

Algebra II » Unit: Polynomial Theorems and Graphs
Algebra II » Unit: Polynomial Theorems and Graphs
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

Imaginary numbers are used to represent quantities that have two parts; working with these numbers is similar to working with polynomial expressions.

 
Favorites (4)
 
Resources (23)
 
Reflections (2)
mandlebrot set
   

Complex Numbers and Quadratic Equations Test

Algebra II » Unit: Complex Numbers and Quadratic Equations
Algebra II » Unit: Complex Numbers and Quadratic Equations
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Test student on their knowledge of complex numbers and quadratic equations..

 
Favorites (1)
 
Resources (10)
image quadratic equations
   

Completing the Square Day 1 of 2

Algebra II » Unit: Complex Numbers and Quadratic Equations
Algebra II » Unit: Complex Numbers and Quadratic Equations
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Compare and contrast the effectiveness of multiple methods of solving quadratic equations.

 
Favorites (3)
 
Resources (19)
image complete the square day 1
   

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
   

Simplifying Square Roots

Algebra II » Unit: Complex Numbers and Quadratic Equations
Algebra II » Unit: Complex Numbers and Quadratic Equations
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Area models introduce this Common Core transitional lesson on simplifying square roots.

 
Favorites (3)
 
Resources (25)
 
Reflections (2)
image simplifying radicals
   

Quadratic Formula

Algebra II » Unit: Complex Numbers and Quadratic Equations
Algebra II » Unit: Complex Numbers and Quadratic Equations
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Build the concept of the quadratic formula by deriving it from completing the square.

 
Favorites (1)
 
Resources (18)
image quadratic formula
   

Imaginary Numbers Day 1 of 2

Algebra II » Unit: Complex Numbers and Quadratic Equations
Algebra II » Unit: Complex Numbers and Quadratic Equations
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Repeated reasoning is a central feature in this lesson.

 
Favorites (5)
 
Resources (20)
 
Reflections (1)
image imaginary numbers
   

Roots of Polynomial Functions - Day 2 of 2

12th Grade Math » Unit: Polynomial and Rational Functions
12th Grade Math » Unit: Polynomial and Rational Functions
Tim  Marley
Troy, MI
Environment: Suburban
 
Big Idea:

Find complex roots and learn about the history of imaginary numbers.

 
Favorites (1)
 
Resources (12)
untitled
   

Completing the Square Day 2 of 2

Algebra II » Unit: Complex Numbers and Quadratic Equations
Algebra II » Unit: Complex Numbers and Quadratic Equations
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Compare and contrast the effectiveness of multiple methods of solving quadratic equations.

 
Resources (19)
image complete the square day 2
   

Complex Numbers Day 2 of 2

Algebra II » Unit: Complex Numbers and Quadratic Equations
Algebra II » Unit: Complex Numbers and Quadratic Equations
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Multiple models are use to represent computations with complex numbers.

 
Favorites (1)
 
Resources (18)
image complex numbers day 2
   

Imaginary Numbers Day 2 of 2

Algebra II » Unit: Complex Numbers and Quadratic Equations
Algebra II » Unit: Complex Numbers and Quadratic Equations
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Repeated reasoning is a central feature in this lesson.

 
Favorites (3)
 
Resources (27)
 
Reflections (2)
image imaginary numbers day 2
Common Core Math
 
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