HSN-CN.C.7

Solve quadratic equations with real coefficients that have complex solutions.

 
22 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
   

Polynomial Practice & Review

Algebra II » Unit: Higher-Degree Polynomials
Algebra II » Unit: Higher-Degree Polynomials
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Polynomial functions have a predictable number of zeros and we can find them with technology, synthetic substitution, or factoring.

 
Favorites (2)
 
Resources (12)
polynomial graph
   

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 Number Battleship

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

Use games like this to fill those odd days before break or during homecoming week with meaningful mathematical activities or use for fun review!

 
Favorites (3)
 
Resources (9)
battleship
   

Puzzling Polynomials and Quizzical Quadratics

12th Grade Math » Unit: Polynomial Functions and Equations
12th Grade Math » Unit: Polynomial Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Review polynomial operations with NCTM’s polynomial puzzlers and then practice solving quadratic equations by moving through stations.

 
Favorites (7)
 
Resources (25)
 
Reflections (2)
students working quadratics stations
   

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
   

Complex Solutions to Quadratic Equations

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

Students investigate the geometry of the complex solutions to a quadratic equation in a dynamic setting.

 
Favorites (3)
 
Resources (13)
 
Reflections (1)
complex roots
   

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
   

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
   

Complex Solutions of Quadratics

Algebra II » Unit: Imagine This! Imaginary and Complex Numbers
Algebra II » Unit: Imagine This! Imaginary and Complex Numbers
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

Why re-TEACH quadratics when you can re-THINK them in this lesson?!

 
Favorites (1)
 
Resources (15)
 
Reflections (1)
copy of complex 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
   

Equation Treasure Hunt

Algebra II » Unit: Semester 1 Review
Algebra II » Unit: Semester 1 Review
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Argh Treasure! Review solving equations with a treasure hunt.

 
Resources (12)
image equation review
   

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 and Quadratic Equations Review

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

Students create a personal study plan as they review complex numbers and quadratic equations.

 
Favorites (1)
 
Resources (16)
image quadratic equations
   

Test Review

12th Grade Math » Unit: Polynomial Functions and Equations
12th Grade Math » Unit: Polynomial Functions and Equations
Tiffany Dawdy
Phoenix, AZ
Environment: Urban
 
Big Idea:

Students will work together and ask questions on their test review to prepare for tomorrow's unit test.

 
Resources (6)
copy of review image
Common Core Math
 
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