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49 reviewed resources for imaginary part of a complex number

Lesson Planet

Powers and Roots of Complex Numbers

For Teachers 9th - 12th Standards
Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...
8:58
Lesson Planet

Complex Numbers (Part 2)

For Students 9th - 11th
This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...
7:21
Lesson Planet

Complex Numbers (Part 1)

For Students 9th - 11th
In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He starts showing how to divide two complex numbers, but runs out of time and continues...
EngageNY

Complex Number Division 1

For Teachers 11th - 12th Standards
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...
8:58
Lesson Planet

Complex Numbers (Part 2)

For Students 9th - 11th
This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...
10:10
Lesson Planet

Complex Numbers (Part 1)

For Students 9th - 11th
In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He starts showing how to divide two complex numbers, but runs out of time and continues...
4:38
Lesson Planet

Imaginary Numbers Are Real (Part 5: Numbers are Two Dimensional)

For Students 9th - 12th Standards
If the square root of negative one exists, where is it on the number line? A math video presents a geometric representation of complex numbers and the complex plane, and then compares it to the geometric representation of real numbers —...
3:38
Lesson Planet

Imaginary Numbers Are Real (Part 6: The Complex Plane)

For Students 9th - 12th Standards
How do addition and subtraction work on the complex plane? A short video presentation provides a clue on how to add complex numbers geometrically. The video ends with four problems to determine the rules for multiplication on the complex...
8:04
Lesson Planet

Complex Conjugates

For Students 10th - 12th
Sal discusses the usefulness of the conjugate of the complex number is this video. First, he shows both graphically and algebraically adding a complex number and its conjugate. Then, he shows how to simplify a rational expression with...
13:04
Lesson Planet

Basic Complex Analysis

For Students 10th - 12th
This video gives an excellent overview of the different representations of a complex number. First, Sal reviews a pictorial representation of a complex number as an Argand diagram, then shows how to find the modulus and the argument of a...
11:53
Lesson Planet

Exponential Form to Find Complex Roots

For Students 10th - 12th
Sal solves the problem x^3 = 1 for all of the real and complex roots using the exponential form of the complex number. He shows how the roots found in exponential form are the same as those in a more traditional form of a complex number...
11:53
Lesson Planet

Exponential Form to Find Complex Roots

For Students 10th - 12th
Sal solves the problem x^3 = 1 for all of the real and complex roots using the exponential form of the complex number. He shows how the roots found in exponential form are the same as those in a more traditional form of a complex number...
5:47
Lesson Planet

Imaginary Numbers Are Real (Part 1: Introduction)

For Students 9th - 12th Standards
What are imaginary numbers? An introductory video provides an explanation as to why we need imaginary numbers to solve equations, and makes the connection between the need for zero, negative numbers, and rational numbers throughout history.
EngageNY

The Geometric Effect of Some Complex Arithmetic 1

For Teachers 11th - 12th Standards
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson plan 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...
4:42
Lesson Planet

Imaginary Numbers Are Real (Part 3: Cardan's Problem)

For Students 9th - 12th Standards
Were complex numbers discovered or invented? A video presentation makes the case for the discovery of square roots of negative one. In order for complex numbers to be real, then they must behave like other numbers, which they do in terms...
2:57
Lesson Planet

Imaginary Numbers Are Real (Part 4: Bombelli's Solution)

For Students 9th - 12th Standards
Is the square root of negative one crucial to the process of finding other solutions? Using the properties of the newly discovered square root of negative one, historical mathematician Bobelli is able to solve Cardan's problem. His...
4:25
Lesson Planet

Imaginary Numbers Are Real (Part 7: Complex Multiplication)

For Students 9th - 12th Standards
Multiplying complex numbers geometrically is complicated. Find an easier way with a short video that explains the process of multiplying complex numbers on the complex plane. The connection with the process and the angles and moduli sets...
4:40
Lesson Planet

Imaginary Numbers Are Real (Part 8: Math Wizardry)

For Students 9th - 12th Standards
How does the Fundamental Theorem of Algebra apply to equations with complex roots? Using recently learned concepts about the complex plane, learners determine all the complex roots of polynomials. They can find the same roots as...
5:41
Lesson Planet

Imaginary Numbers Are Real (Part 9: Closure)

For Students 9th - 12th Standards
The last video in a series about imaginary numbers demonstrates the need for complex numbers. Math pupils learn that they need to include the square root of negative one, the building block of the complex numbers, to have a set of...
EngageNY

An Appearance of Complex Numbers 2

For Teachers 11th - 12th Standards
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 the...
10:04
Lesson Planet

Compound Interest and e (Part 3)

For Students 10th - 12th
Continuing with the lesson on compound interest, in this video, Sal derives the general formula for any amount of principle, interest rate, and compounding periods over one year.
10:14
Lesson Planet

Compound Interest and e (Part 2)

For Students 10th - 12th
Sal continues to look at changing the length of compounding time, from daily to hourly compounding interest. Now he is able to show that compounding 100% annual interest converges on the number 2.71É or e as the number of compounding...
1 In 1 Collection
EngageNY

Complex Numbers and Transformations

For Teachers 9th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY

Complex Numbers as Vectors

For Teachers 11th - 12th Standards
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...