EngageNY
Mid-Module Assessment Task - Precalculus (module 1)
Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is the...
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
EngageNY
Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
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
Complex Distance
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number concept....
Curated OER
Powers and Roots of Complex Numbers
Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...
Texas Instruments
Complex Numbers: Plotting and Polar Form
Explore the concept of, and use the Ti-Nspire to, convert complex numbers into polar form. Then practice graphing complex numbers in the polar coordinate plane.
Curated OER
Steady-State Circuit Analysis & Filter Design
Scholars identify how the TI-89 implements phasors to perform sinusoidal steady-state analysis. The focus is on how to enter and display complex numbers. They also show how a typical steady-state application how to use the Numeric Solver...
Clark University
Clark University: Dave's Short Trig Course: Complex Numbers: Absolute Value
Contains detailed information on absolute values for complex numbers.
Better Lesson
Better Lesson: Algebra Ii: The Trigonometric Functions
A lesson plan where students will interpret the trigonometric functions in terms of the unit circle, graph a sinusoidal function, and use a sinusoidal function to make interpretations in a modeling context.
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...
Paul Dawkins
Paul's Online Notes: Algebra: Preliminaries: Complex Numbers
This math tutorial features notes and examples that illustrate complex numbers including standard form, adding, subtracting, multiplying and dividing them.
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.
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....
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.
Clark University
Clark University: Dave's Short Trig Course: Complex Numbers
This site from a professor at Clark University teaches you about complex numbers.