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...

Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they...

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.

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...

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...

Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 

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...

Time for matrices and complex numbers to come together. Individuals use matrices to add and multiply complex numbers by a scalar. The instructional activity makes a strong connection between the operations and graphical transformations.

High schoolers plot complex numbers in the polar plane. They convert complex numbers in polar form to rectangular form. Students plot coordinates in the polar plane. They plot complex numbers in the complex plane. High schoolers are...

Pupils plot complex numbers in the polar plane. They are asked to list what they believe are the five most famous numbers in mathematics. Students are explained that generally accepted that the five most famous numbers in mathematics...

In this radical worksheet, students simplify complex numbers.  They find the sum and difference of complex numbers.  This two-page worksheet contains 11 multiple-choice problems.  Answers are given on the last page.

Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...

Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...

Fourth graders use the story of the discovery of irrational numbers to explore the different classes of numbers, the different ways in which numbers may be represented, and how to classify different numbers into their particular class.

Seventh graders engage in a lesson that is focused upon teaching the concept of integer numbers with a focus upon the integers. They practice solving different problems using positive and negative numbers. They then attempt to describe...

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...

Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...

Pique your pupils' interest before reading Peter and the Starcatchers with an anticipation guide. Given a list of 10 statements, learners choose true or false based on what they think the book is about. They then discuss in small...

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...

Students exercise the strategy of summarization to recall important information in a text. They read to summarize the passage, "Ways the Ocean Helps Us," by Katherine Jones Carter, from "Oceans." Each student follows a list of...

Students identify patterns. In this pattern lesson students discuss what makes a pattern. They find a pattern hidden in the classroom. 

High schoolers engage in research, small-group discussions, whole class discussions, family interviews, and interaction with multimedia resource material as they explore the relationship between memory and history.

Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 

The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.