Khan Academy
Khan Academy: Polar and Rectangular Forms of Complex Numbers
Given a complex number in rectangular form, write it in polar form. And given a complex number in polar form, write it in rectangular form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...
Math Medics
S.o.s. Math: The Complex Plane
Contains a lesson and practice exercises about complex numbers in a complex plane.
Cool Math
Coolmath: Complex Numbers in the Quadratic Formula
Use this algebra lesson to find out how to use the quadratic formula when you get complex solutions.
Stanford University
Standford University: Complex Roots
This resource contains relevant information regarding to complex roots that includes formulas and graphs.
Math Is Fun
Math Is Fun: The Evolution of Numbers
Discusses what numbers are and how our understanding of them has evolved over thousands of years, from simple counting to negative numbers and irrational numbers, for example. Includes a set of practice questions where students identify...
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...
CK-12 Foundation
Ck 12: Analysis: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving quadratic equations when the answers are complex numbers. Students examine guided notes, review guided practice and attempt practice...
Cuemath
Cuemath: Imaginary Numbers
For this lesson, you will learn about complex numbers and imaginary numbers. Included are solved examples and interactive questions for review.
Khan Academy
Khan Academy: Divide Complex Numbers
Given a complex number division problem, express the result as a complex number of the form a+bi. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.
Illustrative Mathematics
Illustrative Mathematics: N Cn, a Rei Complex Square Roots
Working with complex numbers allows us to solve equations that cannot be solved with real numbers. Here we will investigate complex numbers which arise as square roots of certain complex numbers. Aligns with N-CN.A.2 and A-REI.A.1.
Illustrative Mathematics
Illustrative Mathematics: N cn.a and N cn.a.1: Complex Number Patterns
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...
CK-12 Foundation
Ck 12: Analysis: Imaginary Numbers
[Free Registration/Login may be required to access all resource tools.] In this lesson students will identify imaginary and complex numbers, basic evaluation of imaginary numbers. Students examine guided notes, review guided practice,...
Illustrative Mathematics
Illustrative Mathematics: Complex Distance
This problem is intended to reinforce the geometric interpretation of distance between complex numbers and midpoints as modulus of the difference and average respectively.
Interactive Mathematics
Interactive Mathematics: Exponential Form of a Complex Number
Several examples are presented to demonstrate how to write complex numbers in exponential for. The demonstrations concludes with a comparison of different forms complex numbers: rectangular, exponential, and polar.
Math Words
Math words.com: Complex Numbers
At MathWords.com, a definition is given for what complex numbers are, along with some examples.
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.
Johan Claeys
Math Abundance: A Representation of a Complex Number
Includes a short summary on the representation of a complex number.
Khan Academy
Khan Academy: Absolute Value of Complex Numbers
Given a complex number in the form a+bi, find its absolute value.
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: 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...
Khan Academy
Khan Academy: Plot Numbers on the Complex Plane
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.
Cool Math
Coolmath: Factoring Complex Numbers Exercises
This Algebra Cruncher generates an endless number of practice problems for factoring the sum of two squares. Each problem has hints and solutions.
Illustrative Mathematics
Illustrative Mathematics: N cn.a.2, N cn.b.5, and N cn.c.8 Complex Cube Roots
This task has students further their understanding of the algebra of the complex numbers. Aligns with N-CN.A.2, N-CN.B.5,a nd N-CN.C.8.
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