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University of Saskatchewan (Canada)
University of Saskatchewan: Complex Numbers
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...
Oswego City School District
Regents Exam Prep Center: Complex Numbers
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...
Oswego City School District
Regents Exam Prep Center: Absolute Value of Complex Numbers
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.
CK-12 Foundation
Ck 12: Complex Numbers
[Free Registration/Login may be required to access all resource tools.] A collection of resources that explain complex numbers and how to do arithmetic with them.
Math Medics
S.o.s. Math: The Complex Numbers
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....
CK-12 Foundation
Ck 12: Analysis: Products and Quotients of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] This lesson covers multiplying and dividing complex numbers. Students examine guided notes, review guided practice, watch instructional videos and attempt practice...
Discovery Education
Discovery Education: Web Math: Multiplying Complex Numbers
WebMath contains a program that calculates the multiplication of two or more complex numbers by inputting the problem.
Discovery Education
Discovery Education: Web Math: Subtracting Complex Numbers
WebMath offers a program that explains and calculates the subtraction of complex numbers.
Discovery Education
Discovery Education: Web Math: Adding Complex Numbers
WebMath contains a program that calculates the addition of complex numbers by inputting the problem.
Khan Academy
Khan Academy: Add & Subtract Complex Numbers
Practice addition and subtraction with complex numbers.
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.
CK-12 Foundation
Ck 12: Polar Form of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for...
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Complex Numbers 1
Twenty-six problems present a variety of practice working with complex numbers. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
Larson Texts
Larson Precalculus: Operations of Complex Numbers in the Complex Plane [Pdf]
A 3-page handout with examples and exercises in adding, subtracting, and multiplying complex numbers in the complex plane, as well as finding complex conjugates.
Texas Instruments
Texas Instruments: Powers and Roots of Complex Numbers
Complex numbers can be represented graphically using parametric equations. The roots of complex numbers, including the roots of unity, can be represented graphically using De Moivre's theorem and parametric equations.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Complex Numbers 2
Fifteen problems present more practice working with complex numbers. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check each...
CK-12 Foundation
Ck 12: Analysis: Powers and Roots of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] On this site students learn to apply De Moivre's Theorem to solve for powers and roots of complex numbers. Students explore guided notes, watch videos and then...
Texas Instruments
Texas Instruments: Powers and Roots of Complex Numbers
In this TI InterActive! activity, students explore the graphical and numerical representations of the powers of a complex number.
CK-12 Foundation
Ck 12: Polar Form of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its...
Interactive Mathematics
Interactive Mathematics: Complex Numbers
The world of complex numbers is explored through mini lessons, interactive examples, applications and demonstrations. Topics covered include definitions, basic operations, graphing, different forms of complex numbers, products,...
McGraw Hill
Glencoe Mathematics: Quiz on Powers and Roots of Complex Numbers
The online assessment exhibits knowledge of advanced mathematical concepts in Trigonometry. The questions evaluate students on powers and roots of complex numbers.
Cool Math
Coolmath: Complex Numbers Factoring the Sum of Two Squares
Use this algebra lesson to learn how to factor the sum of two squares.
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