Math Warehouse
Math Warehouse: Complex and Imaginary Numbers
Features numerous exercises relating to complex and imaginary numbers. Includes video tutorials, calculators, worksheets and more.
Illustrative Mathematics
Illustrative Mathematics: F Tf Trig Functions and the Unit Circle
The purpose of this task is to help students make the connection between the graphs of sin t and cos t and the x and y coordinates of points moving around the unit circle. Students have to match coordinates of points on the graph with...
Khan Academy
Khan Academy: Graphically Add and Subtract Complex Numbers
Add or subtract complex numbers, and plot the result in the complex plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.
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.
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.
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.
Khan Academy
Khan Academy: Distance of Complex Numbers
Given two complex numbers (either algebraically or graphically), find their distance. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Absolute Value of Complex Numbers
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
Khan Academy
Khan Academy: Angle of Complex Numbers
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.
Khan Academy
Khan Academy: Complex Numbers From Absolute Value & Angle
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.
CK-12 Foundation
Ck 12: Polar Form 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.
Interactive Mathematics
Interactive Mathematics: Complex Numbers: Basic Definitions
After reviewing the process of solving quadratic and cubic equations, a definition of an imaginary number is given. Also included is a demonstration of simplifying powers of the imaginary number and writing complex numbers. Examples are...
Khan Academy
Khan Academy: Absolute Value of Complex Numbers
Given a complex number in the form a+bi, find its absolute value.
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.
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...
Khan Academy
Khan Academy: Parts of Complex Numbers
Determine the real and the imaginary parts of complex numbers.
Khan Academy
Khan Academy: Add & Subtract Complex Numbers
Practice addition and subtraction with complex numbers.
CK-12 Foundation
Ck 12: Algebra Ii: 4.8 Pythagorean Identities
This section explores the Pythagorean Identity and how it applies to right triangles set inside unit circles, in terms of sine, cosine, and tangent functions.
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.
CK-12 Foundation
Ck 12: 1.5 From Quadratics to Complex Numbers
This section introduces imaginary and complex numbers in the context of solutions to quadratic equations that don't have real-number solutions.
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...
Khan Academy
Khan Academy: Angle of Complex Numbers
Given a complex number of the form a+bi, find its angle.