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- HSN-CN.A.1Know there is a complex number i such that i<sup>2</sup> = -1, and every complex number has the form a + bi with a and b real.
- HSN-CN.A.2Use the relation i<sup>2</sup> = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
- HSN-CN.A.3(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

Review of Polynomial Roots and Complex Numbers

Algebra II

Â» 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.

Complex Numbers Day 1 of 2

Algebra II

Â» Unit:

Complex Numbers and Quadratic Equations

Big Idea:Multiple models are use to represent computations with complex numbers.

That's Complex!

Algebra II

Â» Unit:

Complex Numbers

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

Arithmetic with Complex Numbers

Algebra II

Â» 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.

Algebra II Jeopardy

Algebra II

Â» Unit:

Games

Big Idea:Play Jeopardy to fill those odd days before break or during homecoming week with meaningful mathematical activities like this Jeopardy game.

Complex Numbers and Quadratic Equations Test

Algebra II

Â» 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

Â» Unit:

Complex Numbers and Quadratic Equations

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

Simplifying Square Roots

Algebra II

Â» Unit:

Complex Numbers and Quadratic Equations

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

Inconceivable! The Origins of Imaginary Numbers

Algebra II

Â» Unit:

The Complex Number System

Big Idea:Imaginary numbers aren't any more imaginary than negative numbers!

Quadratic Formula

Algebra II

Â» Unit:

Complex Numbers and Quadratic Equations

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

Imaginary Numbers Day 1 of 2

Algebra II

Â» Unit:

Complex Numbers and Quadratic Equations

Big Idea:Repeated reasoning is a central feature in this lesson.

Completing the Square Day 2 of 2

Algebra II

Â» 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

Â» Unit:

Polynomial and Rational Functions

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

Complex Numbers Day 2 of 2

Algebra II

Â» Unit:

Complex Numbers and Quadratic Equations

Big Idea:Multiple models are use to represent computations with complex numbers.

Imaginary Numbers Day 2 of 2

Algebra II

Â» Unit:

Complex Numbers and Quadratic Equations

Big Idea:Repeated reasoning is a central feature in this lesson.

HSN-CN.A.1

Know there is a complex number i such that i^{2} = -1, and every complex number has the form a + bi with a and b real.

HSN-CN.A.2

Use the relation i^{2} = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

HSN-CN.A.3

(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.