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.
Curated OER
The Complex Numbers
In this algebra worksheet, students solve 16 problems involving imaginary numbers. In the first three, students find the square root of 3 negative numbers in terms of i. Nine problems involve addition, subtraction, multiplication and...
Curated OER
Imaginary Numbers
In this Algebra II worksheet, 11th graders explain how every real number is also a complex number. The one page worksheet contains one problem with solution.
Alabama Learning Exchange
As If Numbers Weren't Complex Enough Already!
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
EngageNY
Complex Number Division 1
Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...
Virginia Department of Education
Complex Numbers
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...
EngageNY
The Geometric Effect of Some Complex Arithmetic 2
The 10th lesson in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary number, and another...
Curated OER
Complex Numbers
Learners are introduced to the concept of imaginary unit and complex numbers. They are taught how to add and subtract complex numbers. Students define a complex number. They comprehend at least two applications of complex numbers....
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
EngageNY
A Surprising Boost from Geometry
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication.
Curated OER
Complex Numbers - Week 5
In this complex numbers worksheet, young scholars solve problems involving polynomials, real constants containing imaginary numbers, and find the complex number that satisfies a given equation. This two-page worksheet contains seven...
EngageNY
Complex Numbers as Solutions to Equations
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.
Curated OER
Iterating the Function and Complex Numbers
Students identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson plan, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Curated OER
A Geological Puzzle
Students compare and contrast the various types of rocks on each continent. In groups, the calculate the rock ages and types to determine if the continents, in their opinion, were joined at one time. They develop two imaginary...
Curated OER
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this activity by applying graphing knowledge to create a unique piece of art. This activity varies acording to the graphing knowledge of the artist. First, learners identify and review various types of...
Virginia Department of Education
Quadratic Equations
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...