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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

» 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

» Unit:

Complex Numbers and Quadratic Equations

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

That's Complex!

Algebra II

» Unit:

Complex Numbers

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

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.

Algebra II Jeopardy

Algebra II

» 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

» 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.

Simplifying Square Roots

Algebra II

» 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

» Unit:

The Complex Number System

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

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.

Imaginary Numbers Day 1 of 2

Algebra II

» 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

» 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.

Complex Numbers Day 2 of 2

Algebra II

» 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

» 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.