Curated OER
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....
Alabama Learning Exchange
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.
Texas Instruments
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.
Curated OER
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...
Curated OER
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...
University of Texas
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...
Virginia Department of Education
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...
EngageNY
Complex Number Division 1
Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...
CK-12 Foundation
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...
EngageNY
Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Illustrative Mathematics
Computations with Complex Numbers
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that learners...
Curated OER
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...
Curated OER
Complex Numbers and Operations
In this algebra worksheet, young scholars add, subtract and multiply using complex numbers. They apply the correct property of i as they solve. There are ten questions with an answer key.
Alabama Learning Exchange
Imaginary Numbers? What Do You Mean Imaginary?
Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
EngageNY
Trigonometry and Complex Numbers
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the argument...
Thomson Brooks-Core
Complex Numbers
A straightforward approach to teaching complex numbers, this lesson addresses the concepts of complex numbers, polar coordinates, Euler's formula, De moivres Theorem, and more. It includes a practice problems set with odd answers and a...
EngageNY
Complex Number Division 2
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second lesson on complex number division, the class takes a closer look at the numerator and denominator of the multiplicative...
EngageNY
The Geometric Effect of Some Complex Arithmetic 1
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
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