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University of Texas
Complex Numbers
Are complex numbers and binomials similar? This stack of slides provides an introduction to complex numbers and shows how to operate with them. The worked examples show a connection between operating with binomials and operating with...
EngageNY
An Appearance of Complex Numbers 2
Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews...
CK-12 Foundation
Trigonometric Form of Complex Numbers
Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...
Alabama Learning Exchange
Imaginary Numbers? What Do You Mean Imaginary?
Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.
EngageNY
The Geometric Effect of Some Complex Arithmetic 1
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
EngageNY
Discovering the Geometric Effect of Complex Multiplication
Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...
Project Maths
Complex Number Operations
What do animated videos have to do with mathematics? Using operations of complex numbers and their representations on the complex plane, high schoolers observe how mathematics could be used to move animations. The lesson...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
CK-12 Foundation
DeMoivre's Theorem and nth Roots: The nth Roots of Unity
The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...
CK-12 Foundation
Find Imaginary Solutions: Imaginary Zeros
The resource is the real deal. Individuals investigate the imaginary zeros of f(x) = x^2 + 1. They accomplish this task by using an interactive that shows input values x = a + bi and output values x^2 + 1 on a complex plane.
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Poetry Society
The Jumblies
Who would ever think to go to sea in a sieve? Only Edward Lear's Jumblies! The poem "The Jumblies" is the inspiration for these poetry reading and writing activities that ask learners to think about how strangers are different, consider...
CK-12 Foundation
Plots of Polar Coordinates: Submarine Sonar
Find the location of enemy submarines with a sonar display that doubles as a polar coordinate system. Pupils find polar coordinates that would be the same location of plotted submarines. They then determine multiple polar...
K12 Reader
Extending Patterns
2, 4, 6, 8. What comes next? This reading comprehension worksheet discusses patterns and extending patterns. After reading the short article, kids answer a series of questions to demonstrate their understanding of the passage.
University of North Carolina
Figures and Charts
Sometimes words aren't the best way to get information across to the reader. The eighth handout in the 24-part Writing the Paper series describes different type of figures and charts to display complex information in a paper....
Cornell University
Insect Anatomy
Young entomologists discover insect anatomy in a very detailed unit plan. Offering background information for teachers about various insects, class members explore the differences between bugs and insects—and yes, there are many...
Workforce Solutions
The Negotiations of Interviewing
Sometimes the interview process includes negotiating for what you want. Here's an activity that guides job seekers to achieve The Best Alternative to a Negotiated Agreement (BATNA). Participants take on the role of job seekers and...
Beauty and Joy of Computing
Nesting Lists
Create lists within lists. The second lab in a series of five in the unit has pupils develop a simple contact list app. The tasks within the lab build the need for an abstract data type. Individuals build more complexity into their...
Curated OER
Relative Pronouns in Spanish
After reading up on relative pronouns and antecedents, Spanish learners can use the menu to navigate the material on the webpage. Each pronoun is paired with an explanation and examples. Within the provided presentation, you will find...
Southern Nevada Regional Professional Development Program
A Mini lesson on Semicolons
Dr. Martin Luther King, Jr.'s "Letter from Birmingham Jail" serves as an exemplar for a mini-lesson on semicolons. Working alone or in small groups, class members first circle all the semicolons in the letter, and then consider how this...
National Wildlife Federation
Habitat Web
Young scientists weave together an understanding of ecosystems with this fun collaborative activity. Taking on the roles of different living and non-living elements of specific habitats, learners use a ball of yarn to create...
iCivics
Win the White House
Here is a unique and engaging approach to learning about the steps a presidential candidate must take during a campaign. Learners role play the part of a candidate in this online interactive, taking part in a presidential...
Personal Genetics Education Project
Introduction to Personal Genetics
Adolescents have the opportunity to consider how they feel about the possibilities presented by the current availability of genetic sequencing. After some instruction, they participate in a four-corners activity in which you read a...
Henry Ford Museum
Human Impact on Ecosystems
An environmenta science unit includes three lessons plus a cumulative project covering the ecosystem. Scholars follow the history of the Ford Rouge Factory from its construction on wetlands and how it destroyed the...