Khan Academy
Khan Academy: Midpoint of Complex Numbers
Given two complex numbers (either algebraically or graphically), find their midpoint. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Interactive Mathematics
Interactive Mathematics: Polar Form of Complex Numbers
Using vectors as a starting point, this site demonstrates how complex numbers can be written in polar form. Several examples are included that require you to write complex numbers in polar and rectangular form and also represent them...
Interactive Mathematics
Interactive Mathematics: Graphical Representation of Complex Numbers
A description of the complex plane is given with examples of how to plot complex numbers. Also included is an explanation of how to add complex numbers graphically.
Illustrative Mathematics
Illustrative Mathematics: N Cn Complex Distance
In this problem, you will compute some values related to the complex numbers 2 + i and 5 - 3i. Aligns with N-CN.B.6.
Stanford University
Stanford Exploration Project: Complex Roots
A description and examples of complex roots.
Khan Academy
Khan Academy: Complex Number Conjugates
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.
![Pre Calculus Notes: Complex Numbers [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Pre Calculus Notes: Complex Numbers [Pdf] Unknown Type")
Math Notes and Math Tests
Pre Calculus Notes: Complex Numbers [Pdf]
The resource discusses complex numbers. Topics examined are the complex plane, complex conjugates, dividing complex numbers, and complex zeros of functions.
Wolfram Research
Wolfram Math World: Line Integral
Use this site to find the formula for the line vector of a field on a curve. Also included is the formula for complex plane circumstances. Read further down the page for higher math involving involveing Poincare's
Math Open Reference
Math Open Reference: Complex Numbers
Explore complex numbers with this easy reference guide. Learn that complex numbers lie on a two-dimensional flat plane and have two components called the real and imaginary parts. Provides definitions and interactive activities that...
Math Words
Math words.com: Complex Plane
Contains the definition and a picture for what a complex plane is.
CK-12 Foundation
Ck 12: Plot Polar Coordinates
[Free Registration/Login may be required to access all resource tools.] Here you will learn how to convert and graph complex numbers in trigonometric or polar form using the polar coordinate system, which is similar in some ways to (x,...
Khan Academy
Khan: Lesson 16: Part 2 Coordinate Geometry; Trigo and Radians; Complex Numbers
2 OF 2 FOR ADDITIONAL TOPICS IN MATH. Students will use the coordinate plane and equations of lines and circles to describe figures; create the equation of a circle given the figure or use the structure of a given equation to determine a...
Windstream
Ojk's Precalculus Study Page: Geometric Representation of Complex Numbers
An introduction to viewing the complex plane in terms of polar coordinates. Assumes knowledge of the conversion formulas. Includes several examples and pictures.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
CK-12 Foundation
Ck 12: Elem Math: Counting Different 2 D Shapes Within Complex Composite Figures
[Free Registration/Login may be required to access all resource tools.] Students watch a video and attempt practice problems on counting two dimensional shapes in a complex composite figure.
That Quiz
That Quiz: Puntos
This is an interactive practice test to review graphing points on the Cartesian, Polar and Complex plane. Test are timed and keep track of right and wrong answers.
Northern Illinois University
Northern Illinois University: Roots Unique Factorization
This site from the Northern Illinois University contains relevant information about complex nth roots of unity. Includes important formulas.
CK-12 Foundation
Ck 12: Elem Math: Counting Different 2 D Shapes Within Complex Composite Figures
[Free Registration/Login may be required to access all resource tools.] The video describes how to determine how many triangles are needed to create the complex composite shape.
Wolfram Research
Wolfram Math World: Real Axis
This MathWorld site contains a definition and graphical example of the real axis in a complex plane.
Wolfram Research
Wolfram Math World: Imaginary Axis
Contains a graphical example of the imaginary axis in a complex plane.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polar Coordinates
Hotmath provides 20 practice problems relating to polar coordinates and complex numbers. Each of the practice problems include a step-by-step guide for solving.
Curated OER
Integrated Publishing: The Complex Plane
Contains a detailed explanation of the complex plane.
Curated OER
Integrated Publishing: The Complex Plane
Contains a detailed explanation of the complex plane.
Utah Education Network
Uen: Force, Energy, and Motion: Complex Machines for Simple Tasks!
Designed for Grade Eight, this collection of lessons provides information, examples and quizzes related to simple machines. Elementary students studying this topic will find this site informative as well.