The Complex Number System
HSN-CN.C.7
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- HSN-CN.C.7Solve quadratic equations with real coefficients that have complex solutions.
- HSN-CN.C.8(+) Extend polynomial identities to the complex numbers. For example, rewrite x^{2} + 4 as (x + 2i)(x – 2i).
- HSN-CN.C.9(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
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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
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.
Standards:
Favorites
(2)
Resources
(10)
Polynomial Practice & Review
Algebra II »
Unit: Higher-Degree Polynomials
Algebra II »
Unit: Higher-Degree Polynomials
Big Idea:
Polynomial functions have a predictable number of zeros and we can find them with technology, synthetic substitution, or factoring.
Standards:
Favorites
(2)
Resources
(12)
Arithmetic with Complex Numbers
Algebra II »
Unit: Polynomial Theorems and Graphs
Algebra II »
Unit: Polynomial Theorems and Graphs
Big Idea:
Imaginary numbers are used to represent quantities that have two parts; working with these numbers is similar to working with polynomial expressions.
Standards:
Favorites
(4)
Resources
(23)
Reflections
(2)
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!
Standards:
Favorites
(3)
Resources
(9)
Puzzling Polynomials and Quizzical Quadratics
12th Grade Math »
Unit: Polynomial Functions and Equations
12th Grade Math »
Unit: Polynomial Functions and Equations
Big Idea:
Review polynomial operations with NCTM’s polynomial puzzlers and then practice solving quadratic equations by moving through stations.
Standards:
Favorites
(7)
Resources
(25)
Reflections
(2)
Complex Numbers and Quadratic Equations Test
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Test student on their knowledge of complex numbers and quadratic equations..
Favorites
(1)
Resources
(10)
Complex Solutions to Quadratic Equations
Algebra II »
Unit: The Complex Number System
Algebra II »
Unit: The Complex Number System
Big Idea:
Students investigate the geometry of the complex solutions to a quadratic equation in a dynamic setting.
Standards:
Favorites
(3)
Resources
(13)
Reflections
(1)
Completing the Square Day 1 of 2
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Compare and contrast the effectiveness of multiple methods of solving quadratic equations.
Standards:
Favorites
(3)
Resources
(19)
Quadratic Formula
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Build the concept of the quadratic formula by deriving it from completing the square.
Standards:
Resources
(18)
Complex Solutions of Quadratics
Algebra II »
Unit: Imagine This! Imaginary and Complex Numbers
Algebra II »
Unit: Imagine This! Imaginary and Complex Numbers
Big Idea:
Why re-TEACH quadratics when you can re-THINK them in this lesson?!
Standards:
Favorites
(1)
Resources
(15)
Reflections
(1)
Roots of Polynomial Functions - Day 2 of 2
12th Grade Math »
Unit: Polynomial and Rational Functions
12th Grade Math »
Unit: Polynomial and Rational Functions
Big Idea:
Find complex roots and learn about the history of imaginary numbers.
Standards:
Favorites
(1)
Resources
(12)
Big Idea:
Argh Treasure! Review solving equations with a treasure hunt.
Standards:
Resources
(12)
Completing the Square Day 2 of 2
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Compare and contrast the effectiveness of multiple methods of solving quadratic equations.
Standards:
Resources
(19)
Complex Numbers and Quadratic Equations Review
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Algebra II »
Unit: Complex Numbers and Quadratic Equations
Big Idea:
Students create a personal study plan as they review complex numbers and quadratic equations.
Standards:
Favorites
(1)
Resources
(16)
Test Review
12th Grade Math »
Unit: Polynomial Functions and Equations
12th Grade Math »
Unit: Polynomial Functions and Equations
Big Idea:
Students will work together and ask questions on their test review to prepare for tomorrow's unit test.
Standards:
Resources
(6)
Common Core Math
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Kindergarten
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HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
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Ninth and Tenth Grade
Kindergarten
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