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187 resources with the concept complex numbers

Perform Arithmetic Operations with Complex Numbers: High School Math Common Core
9 Item

Perform Arithmetic Operations with Complex Numbers: High School Math Common Core

9th - 12th
CCSS: Adaptable
Imagine a world where all the numbers live together harmoniously. Here you have it! Check out these resources that introduce the concept of an imaginary number, go through the operations, and model how to utilize the conjugate. 
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Number and Quantity: High School Common Core Math
31 Item

Number and Quantity: High School Common Core Math

9th - 12th
CCSS: Adaptable
This collection has a resource for each standard in the Number and Quantity selection of the CCSS. While several of the resources cover multiple standards, the focus standard is listed in the notes section of each resource for easy viewing.
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Complex Numbers Solutions Lesson Plan

Complex Numbers Solutions

9th - 12th
CCSS: Designed
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.
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Imaginary Numbers? What Do You Mean Imaginary? Lesson Plan
1 In 1 Collection

Imaginary Numbers? What Do You Mean Imaginary?

9th - 12th
CCSS: Designed
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.
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Classifying Complex Numbers Lesson Plan
1 In 1 Collection

Classifying Complex Numbers

10th - 12th
CCSS: Designed
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.
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Two Variable Function Pump Interactive

Two Variable Function Pump

9th - 12th
CCSS: Designed
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...
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Find Imaginary Solutions: Imaginary Zeros Interactive

Find Imaginary Solutions: Imaginary Zeros

10th - 12th
CCSS: Designed
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.
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Can You Hear Me Now? Using Cell Phone Signals to Divide Complex Numbers Lesson Plan

Can You Hear Me Now? Using Cell Phone Signals to Divide Complex Numbers

9th - 12th
CCSS: Designed
Without complex numbers, cell phones could not function. Scholars learn to divide complex numbers by applying them to the wavelengths of cell phone signals. They work to develop a method of division incorporating the conjugate. Then,...
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DeMoivre's Theorem and nth Roots: The nth Roots of Unity Interactive

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

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...
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Trigonometric Form of Complex Numbers Interactive

Trigonometric Form of Complex Numbers

11th - Higher Ed
CCSS: Adaptable
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...
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Complex Numbers Lesson Plan

Complex Numbers

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...
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Exploiting the Connection to Cartesian Coordinates Lesson Plan

Exploiting the Connection to Cartesian Coordinates

11th - 12th
CCSS: Designed
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...
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Rationalize an Imaginary Denominator with Conjugate Method Video

Rationalize an Imaginary Denominator with Conjugate Method

7 mins 9th - 12th
CCSS: Adaptable
Explore a procedure for rationalizing a denominator that includes imaginary terms with a video that shows how to use a conjugate when working with fractions. The narrator explains the process from start to finish with each step shown in...
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Imaginary Numbers Video

Imaginary Numbers

7 mins 9th - 12th
CCSS: Adaptable
Scholars learn to use their imagination in math class! The tutorial explains the origin of the number i and then simplifies expressions that include imaginary numbers. The examples include i raised to different powers, giving viewers...
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Mid-Module Assessment Task - Precalculus (module 1) Assessment

Mid-Module Assessment Task - Precalculus (module 1)

11th - 12th
CCSS: Designed
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...
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Linear Transformations Review Lesson Plan

Linear Transformations Review

11th - 12th
CCSS: Designed
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.
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Complex Number Division 1 Lesson Plan

Complex Number Division 1

11th - 12th
CCSS: Designed
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...
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Complex Numbers as Vectors Lesson Plan

Complex Numbers as Vectors

11th - 12th
CCSS: Designed
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...
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End-of-Module Assessment Task — Precalculus (Module 1) Assessment

End-of-Module Assessment Task — Precalculus (Module 1)

11th - 12th
CCSS: Designed
A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...
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Exploiting the Connection to Trigonometry 1 Lesson Plan

Exploiting the Connection to Trigonometry 1

11th - 12th
CCSS: Designed
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex number. Groups...
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Representing Reflections with Transformations Lesson Plan

Representing Reflections with Transformations

11th - 12th
CCSS: Designed
In the 16th lesson plan in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson plan breaks the process of reflecting...
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Discovering the Geometric Effect of Complex Multiplication Lesson Plan

Discovering the Geometric Effect of Complex Multiplication

11th - 12th
CCSS: Designed
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...
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Trigonometry and Complex Numbers Lesson Plan

Trigonometry and Complex Numbers

11th - 12th
CCSS: Designed
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the argument...
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Distance and Complex Numbers 2 Lesson Plan

Distance and Complex Numbers 2

11th - 12th
CCSS: Designed
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...
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