Lights, camera, action! Math educators consider how to improve their instruction by examining a model of the five-practice problem-solving model involving a movie theater. Participants examine cognitive demand in relation to problem...

This task serves as a possible first student exploration after an initial introduction to the form and arithmetic of complex multiplication. Students need to understand that every complex number can be expressed in the form a+bi, and...

Includes a short summary on the representation of a complex number.

[Free Registration/Login may be required to access all resource tools.] Here you will learn how to convert complex numbers from rectangular form to polar form. You will also explore the graphs of complex numbers on a polar graph.

Given a complex number, find its conjugate or plot it in the complex plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

This lesson may be useful to both persons with prior knowledge of complex numbers and those without. The lesson begins with the definition of complex numbers and its notation, then gives the rules of arithmetic for them with exercises....

This MathWorld site give a thorough definition of complex numbers. The first paragraph explains the fundamental knowlege base and notation for complex numbers. The site discusses complex numbers in the phasor form, de Moivre's identity,...

The goal of this task is to practice making calculations with complex numbers and to visualize what happens when two complex numbers are multiplied. Aligns with N-CN.A.2.

This website provides an in-depth lesson on complex numbers. You learn about simplifying, adding, and multiplying complex numbers by viewing example problems that are worked through step-by-step. Continue on to pages 2 and 3 which...

This resource contains relevant information regarding to complex roots that includes formulas and graphs.

[Free Registration/Login may be required to access all resource tools.] Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms...

This lesson from S.O.S. Math provides great information on the polar form of a complex numbers. It has many formulas and examples, and it also discusses the polar coordinates as well. Links are provided for additional subjects.

Axonometry is an illumination that has students discover relationships between complex numbers and graphing. Students make connections between algebraic and graphical representations of a complex number.

The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with an online tutorial on complex numbers. Students can access accompanying examples within the tutorial. After you can also test...

A wealth of material to help you plan classroom instruction on complex numbers: several lessons that cover the number i, square roots of negative numbers, and operations involving complex numbers; practice activities, some of which...

This tutorial reviews complex numbers, notation associated with complex numbers, and the basic operations involving complex numbers. Topics examined are conjugates and moduli, polar form, exponential form, arithmetic of complex numbers,...

Use this tutorial to learn what imaginary and complex numbers are, how to write them, and how to perform operations with them. Offers step-by-step examples, video explanations of the examples, and practice questions with answers.

This tutorial shows students how to multiply and divide complex numbers and includes the topic of conjugates. Includes link to a graphing calculator tutorial.

This tutorial presents the absolute value of complex numbers using formulas, graphs, and examples. There are practice problems and a teacher resource page to assist students in understanding the concept.

A collection of video lessons with example problems and solutions to help students learn how to extend polynomial identities to the complex numbers. Includes interactive widget for working on the modeled problems or trying your own.

Given the absolute value and the angle of a complex number, express the number in the form a+bi. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given a complex number, plot its corresponding point on the complex plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given a complex number in the form a+bi, find its absolute value. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints. HSN.CN.B.4

Given a complex number of the form a+bi, find its angle. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.