Khan Academy
Khan Academy: Powers of the Imaginary Unit
Simplify expressions with base i (the imaginary unit) raised to a positive exponent.
Khan Academy
Khan Academy: Powers of Complex Numbers
Simplify a power of a complex number z^n, or solve an equation of the form z^n=k. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
University of Toronto (Canada)
The Origin of Complex Numbers and the Notation "I"
Contains a brief summary on the origin of complex numbers.
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.
Oswego City School District
Regents Exam Prep Center: Cyclic Nature of the Powers of "I"
Students learn two easy methods to simplify "i" with any exponent. The practice page has several problems that include explanations. The teacher resource page has two possible activities for helping students understand the concept.
CK-12 Foundation
Ck 12: Quadratic Formula and Complex Sums
[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...
Math Open Reference
Math Open Reference: Number
Resource defines numbers into two main categories, counting numbers and scalars. It also gives examples of number notation.
Wolfram Research
Wolfram Math World: Square Root
This math site from Mathworld.com explains what a square root is including information on imaginary numbers and many links. This site also addresses the continued fractions of positive real square roots, in particular the square root of...
TED Talks
Ted: Ted Ed: Math Jokes Explained
It's not your typical knock-knock joke- these funny jests will tickle your imaginary numbers and teach you a thing or two about mathematics. [4:04]
Math Open Reference
Math Open Reference: Real Number
Learn about real numbers with this helpful reference tool. Provides a detailed definition and an interactive activity that enhances further explanation. Includes links to related topics.
CK-12 Foundation
Ck 12: Algebra Ii: 1.6 the Complex Plane
This section includes operations with imaginary and complex numbers and plotting numbers on the complex plane.
Math Medics
S.o.s. Math: The Complex Plane
Contains a lesson and practice exercises about complex numbers in a complex plane.
Cut the Knot
Cut the Knot!: Napoleon's Theorem
Site that describes in detail Napoleon's theorem. To understand this site be sure you understand what the centroid of an object is. The site describes polygons in terms of the roots of unity of a function. The page gives an interactive...
Stanford University
The Complex Plane (Standford University)
Contains both general and detailed information about the complex plane.
Math Words
Math words.com: Complex Plane
Contains the definition and a picture for what a complex plane is.
PBS
Pbs Learning Media: Math + Arts: Jack & the Zero Clan
In this lesson, students will create and solve a word problem related to adding and subtracting within 1,000, develop a script for a short scene using dialect, and perform it using the elements of performance, specifically acting,...
CK-12 Foundation
Ck 12: Analysis: Increasing and Decreasing Functions
[Free Registration/Login may be required to access all resource tools.] Identification of increasing and decreasing intervals of discrete and non-discrete functions. Students examine guided notes, review guided practice, watch...
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