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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<sup>2</sup> + 4 as (x + 2i)(x – 2i).
- HSN-CN.C.9(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

Review of Polynomial Roots and Complex Numbers

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.

Polynomial Practice & Review

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.

Arithmetic with Complex Numbers

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.

Complex Number Battleship

Algebra II

» Unit:

Games

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!

Puzzling Polynomials and Quizzical Quadratics

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.

Complex Numbers and Quadratic Equations Test

Algebra II

» Unit:

Complex Numbers and Quadratic Equations

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

Completing the Square Day 1 of 2

Algebra II

» Unit:

Complex Numbers and Quadratic Equations

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

Complex Solutions to Quadratic Equations

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.

Quadratic Formula

Algebra II

» Unit:

Complex Numbers and Quadratic Equations

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

Complex Solutions of Quadratics

Algebra II

» Unit:

Imagine This! Imaginary and Complex Numbers

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

Completing the Square Day 2 of 2

Algebra II

» Unit:

Complex Numbers and Quadratic Equations

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

Roots of Polynomial Functions - Day 2 of 2

12th Grade Math

» Unit:

Polynomial and Rational Functions

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

Equation Treasure Hunt

Algebra II

» Unit:

Semester 1 Review

Big Idea:Argh Treasure! Review solving equations with a treasure hunt.

Complex Numbers and Quadratic Equations Review

Algebra II

» Unit:

Complex Numbers and Quadratic Equations

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

Test Review

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.

HSN-CN.C.7

Solve 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.