Complex Numbers Teacher Resources

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Complex Numbers

For Teachers 10th - 12th Standards
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

For Teachers 10th - 12th Standards
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

For Teachers 9th - 12th Standards
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

For Teachers 9th - 12th Standards
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

For Teachers 9th - 12th Standards
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.
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Complex Numbers in Polar Form; DeMoivre’s Theorem

For Teachers 10th - 12th Standards
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...
EngageNY

An Appearance of Complex Numbers 2

For Teachers 11th - 12th Standards
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

For Students 9th - 12th Standards
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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Trigonometric Form of Complex Numbers

For Teachers 11th - 12th Standards
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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Trigonometric Form of Complex Numbers

For Students 11th - Higher Ed Standards
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...
8:58
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Complex Numbers (Part 2)

For Students 9th - 11th
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...
7:21
Lesson Planet

Complex Numbers (Part 1)

For Students 9th - 11th
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...
10:10
Lesson Planet

Complex Numbers (Part 1)

For Students 9th - 11th
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...
8:58
Lesson Planet

Complex Numbers (Part 2)

For Students 9th - 11th
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...
5:05
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How Do You Graph Complex Numbers?

For Teachers 10th - 11th
Complex numbers have two parts and can be graphed on a complex plane. After an explanation of the complex plane, this video shows three examples of graphing complex numbers.
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Complex Numbers Addition Worksheet

For Students 10th - 12th Standards
For this complex numbers activity, learners find the sum of complex numbers. This four-page activity contains approximately 20 multi-step problems.
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Complex Numbers

For Teachers 9th - 12th Standards
Students examine complex numbers. In this Algebra II lesson, students investigate two programs that involve complex numbers: the MANDELER Program and SYNDIV program.
1 In 1 Collection
EngageNY

Complex Numbers and Transformations

For Teachers 9th - 12th Standards
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

Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
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...
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Can You Hear Me Now? Using Cell Phone Signals to Divide Complex Numbers

For Students 9th - 12th Standards
Without complex numbers, cell phones could not function. Scholars learn to divide complex numbers by applying them to the wavelengths of cell phone signals. They work to develop a method of division incorporating the conjugate. Then,...
EngageNY

Distance and Complex Numbers 2

For Teachers 11th - 12th Standards
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

Trigonometry and Complex Numbers

For Teachers 11th - 12th Standards
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...
EngageNY

Complex Numbers as Vectors

For Teachers 11th - 12th Standards
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

An Appearance of Complex Numbers 1

For Teachers 11th - 12th Standards
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....

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Complex Numbers