Schoolcraft College
Trigonometry
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Curated OER
Introduction to Polar coordinates
The class practices plotting points in a Cartesian coordinate system and a Polar coordinate system. They convert from one system to the other to get coordinates to plot. Then they play a Tic-Tac-Toe or Connect Four game to have a...
Curated OER
Trigonometric Form of Complex Numbers
This lesson is written from the perspective of a student teacher. A step by step lesson in which the class works on the trigonometric form of complex numbers. They convert between trigonometric and complex forms. They will also practice...
Curated OER
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
Curated OER
Complexity
Students perform mathematical operations on complex numbers. After a lecture/demo, students utilize a worksheet imbedded in this plan to gain practice performing operations on complex numbers.
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...
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.
Paul Dawkins
Paul's Online Notes: Complex Numbers Primer
This tutorial reviews complex numbers, notation associated with complex numbers, and the basic operations involving complex numbers. Topics examined are conjugates and moduli, polar form, exponential form, arithmetic of complex numbers,...
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.
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...
Purple Math
Purplemath: Complex Numbers: Introduction
This website provides an in-depth lesson on complex numbers. You learn about simplifying, adding, and multiplying complex numbers by viewing example problems that are worked through step-by-step. Continue on to pages 2 and 3 which...
National Council of Teachers of Mathematics
Nctm: Illuminations: Axonometry: Applying Complex Numbers to Art
Axonometry is an illumination that has students discover relationships between complex numbers and graphing. Students make connections between algebraic and graphical representations of a complex number.
Cuemath
Cuemath: Complex Numbers
A comprehensive guide for learning all about complex numbers with definitions, operations on complex numbers, solved examples, and practice questions.
Wolfram Research
Wolfram Math World: Complex Plane
This math site gives a visual representation of a complex plane with several values plotted, the site explains that any complex number can be plotted on such a plane. The site contains links to related words and topics.
Wolfram Research
Wolfram Math World: Imaginary Number
Contains a brief definition of an imaginary number. Includes special links and topic search engine.
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.
Math Medics
S.o.s. Math: The Complex Plane
Contains a lesson and practice exercises about complex numbers in a complex plane.
Wolfram Research
Wolfram Math World: Complex Number
This MathWorld site give a thorough definition of complex numbers. The first paragraph explains the fundamental knowlege base and notation for complex numbers. The site discusses complex numbers in the phasor form, de Moivre's identity,...
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....
Math Medics
S.o.s. Math: The Polar Form of a Complex Number
This lesson from S.O.S. Math provides great information on the polar form of a complex numbers. It has many formulas and examples, and it also discusses the polar coordinates as well. Links are provided for additional subjects.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: De Los Numeros Naturales a Los Complejos
This interactive unit will expand your knowledge from natural to complex numbers. Learn how to express a complex number in polar form, move from rectangular form to polar form and vice versa, operate with complex in polar form and...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Numeros Complejos
In Spanish. In this unit you will be able to practice interactively the concept of complex numbers in binomial and polar forms.
McGraw Hill
Glencoe Mathematics: Quiz on the Complex Plane and Polar Form of Complex Numbers
The online assessment demonstrates knowledge of Trigonometry. The questions test students on the complex plane and polar form of complex numbers.