Lesson Plan
EngageNY

#### Solutions to Polynomial Equations

For Teachers 11th - 12th Standards
Take a step back to Algebra II. The first lesson in a series of 23 asks scholars to remember working with quadratic equations with complex solutions. Pupils apply polynomial identities to complex numbers and work examples that show how...
Assessment
Mt. San Antonio Collage

#### Quiz 2: Types of Functions

For Students 9th - 12th Standards
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials.
Assessment
Mt. San Antonio Collage

#### Quiz 1: Types of Functions

For Students 9th - 12th Standards
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
Worksheet
Ms. Fuentes Math Classroom

#### Complex Number Maze

For Students 9th - 12th Standards
This is a to-the-point complex number skills worksheet with a fun addition of completing a maze. Learners solve problems to determine if answers are imaginary or not, in order to work their way through the maze. An average level of...
Unit Plan
2
2
Mathematics Vision Project

For Teachers 10th - 12th Standards
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...
Lesson Plan
EngageNY

#### Roots of Unity

For Teachers 11th - 12th Standards
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
Assessment
EngageNY

#### Mid-Module 3 Assessment Task

For Teachers 11th - 12th Standards
Time to take a pulse check. The mid-module assessment allows pupils to check where their knowledge falls for the first portion of the module. The 10th resource in a series of 23 covers content from the binomial theorem to hyperbolas....
Lesson Plan
EngageNY

#### Does Every Complex Number Have a Square Root?

For Teachers 11th - 12th Standards
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...
eBook
Rice University

#### College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
eBook
Rice University

#### Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
eBook
Rice University

#### Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
eBook
Rice University

#### Intermediate Algebra

For Students 9th - 12th Standards
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
Lesson Plan
Alabama Learning Exchange

#### Complex Numbers Solutions

For Students 9th - 12th Standards
Complex doesn't have to mean harder! Learners experiment with online software to determine the quadratic equations with complex solutions. They use the quadratic formula to solve equations with both real and complex solutions.
Lesson Plan
1
1
Alabama Learning Exchange

#### Imaginary Numbers? What Do You Mean Imaginary?

For Teachers 9th - 12th Standards
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.
Lesson Plan
1
1
Alabama Learning Exchange

#### Classifying Complex Numbers

For Teachers 10th - 12th Standards
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
Interactive
Shodor Education Foundation

#### Two Variable Function Pump

For Students 9th - 12th Standards
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
Interactive
CK-12 Foundation

#### Find Imaginary Solutions: Imaginary Zeros

For Students 10th - 12th Standards
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.
Interactive
CK-12 Foundation

#### DeMoivre's Theorem and nth Roots: The nth Roots of Unity

For Students 11th - Higher Ed
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...
Interactive
CK-12 Foundation

#### Trigonometric Form of Complex Numbers

For Students 11th - Higher Ed Standards
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...
Lesson Plan
Virginia Department of Education

#### Complex Numbers

For Teachers 10th - 12th
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 simplify complex number...
Lesson Plan
EngageNY

#### Exploiting the Connection to Cartesian Coordinates

For Teachers 11th - 12th Standards
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
Assessment
EngageNY

#### Mid-Module Assessment Task - Precalculus (module 1)

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

#### Linear Transformations Review

For Teachers 11th - 12th Standards
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.
Lesson Plan
EngageNY

#### Complex Number Division 1

For Teachers 11th - 12th Standards
Conjugating in the math classroom — and we're not talking verbs! The seventh instructional activity in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to...