# Complex Numbers Teacher Resources

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#### Common Core Algebra 2, Unit 6: Complex Numbers

Three lessons and a review make up Unit 6: Complex Numbers in the Common Core Algebra II series. Designed for the flipped classroom, topics covered are Imaginary Numbers, Complex Numbers, and the Quadratic Formula. Videos explain to the...

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#### EngageNY Precalculus and Advanced Topics Module 1: Complex Numbers and Transformations

Prepare your mathematicians for calculus with a collection of 32 lessons that focus on three topics: linearity, complex number operations as transformations, and the power of right notation. Each lesson includes teacher materials...

EngageNY

#### EngageNY Algebra II Module 1: Polynomial, Rational, and Radical Relationships

The 42 lessons in the Algebra II Module 1 collection are divided into four topics: Polynomials--From Base Ten to Base X, Factoring-- Its Use and Its Obstacles, Solving and Applying Equations—Polynomial, Rational and Radical, and A...

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#### Flipped Math: Common Core Algebra 2

Algebra 2 pupils will flip over a 13-unit course that addresses Common Core standards designed for out-of-class learning. The first-semester unit covers polynomials, polynomial functions, radicals, transformations of functions, and...

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#### Krista King Math: Pre-Calculus

A precalculus playlist of 29-videos demonstrates the processes and includes step-by-step explanations of functions. The collection includes inverse trig functions, polar coordinates, graphing polar curves, parametric curves, analytic...

EngageNY

#### EngageNY Algebra II Module 1: Polynomial, Rational, and Radical Relationships

The 42 lessons in the Algebra II Module 1 collection enable students to connect polynomial arithmetic to computations with whole numbers and integers. Application and modeling problems include both real world and purely mathematical...

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#### EngageNY Precalculus and Advanced Topics Curriculum

A 5-module complete precalculus course begins with young mathematicians exploring linearity, complex number operations as transformation, and the power of the right notation. Module 2 has pupils examining incidence relationships in...

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#### EngageNY Precalculus and Advanced Topics Module 3: Rational and Exponential Functions

In Module 3, precalculus students review the fundamental theorem of algebra, and then find roots of polynomials and roots of unity using polynomial identities, the binomial theorem, and Pascal’s Triangle. As part of their study of...

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#### EngageNY Precalculus and Advanced Topics Module 2: Vectors and Matrices

Here's a collection for gamers and non-gamers. The 29 lessons in the Calculus and Advanced Topics Module 2 are divided into five topics: Networks and Matrices, Linear Transformation of Planes and Space, Systems of Linear Equations,...

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#### Complex Numbers (Part 1)

In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He starts showing how to divide two complex numbers, but runs out of time and continues...

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#### Complex Numbers (Part 1)

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#### Complex Numbers (Part 2)

This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...

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#### Complex Numbers (Part 2)

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#### Complex Numbers

Learners are introduced to the concept of imaginary unit and complex numbers. They are taught how to add and subtract complex numbers. Students define a complex number. They comprehend at least two applications of complex numbers....

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#### Classifying Complex Numbers

Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.

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#### Complex Numbers: Plotting and Polar Form

Explore the concept of, and use the Ti-Nspire to, convert complex numbers into polar form. Then practice graphing complex numbers in the polar coordinate plane.

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#### Powers and Roots of Complex Numbers

Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...

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#### Complex Numbers

The class practices, on paper and/or on a TI graphing calculator the concepts of how to add, multiply, divide and subtract complex numbers using the correct property.

EngageNY

#### An Appearance of Complex Numbers 2

Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews the...

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#### Complex Numbers

Are complex numbers and binomials similar? This stack of slides provides an introduction to complex numbers and shows how to operate with them. The worked examples show a connection between operating with binomials and operating with...

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#### Complex Numbers

Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they simplify complex number...

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#### Complex Numbers in Polar Form; DeMoivre’s Theorem

The iconic links between trig functions and complex numbers are introduced in a lesson on the basic properties of complex numbers in polar form. Quickly progressing through the polarization of complex coordinates, a bulk of the worksheet...

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#### Trigonometric Form of Complex Numbers

Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...

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#### Trigonometric Form of Complex Numbers

This lesson is written from the perspective of a student teacher. A step by step lesson in which the class works on the trigonometric form of complex numbers. They convert between trigonometric and complex forms. They will also practice...

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