Lesson Plan
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...
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...
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 lesson plan 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...
Lesson Plan
EngageNY

Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
Lesson Plan
EngageNY

Distance and Complex Numbers 2

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

An Appearance of Complex Numbers 1

For Teachers 11th - 12th Standards
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Lesson Plan
Curated OER

Complex Numbers and Operations

For Teachers 8th - 10th
In this algebra worksheet, young scholars add, subtract and multiply using complex numbers. They apply the correct property of i as they solve. There are ten questions with an answer key.
Lesson Plan
Ohio Department of Education

The Solution is Complex

For Teachers 9th - 12th Standards
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
Lesson Plan
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...
Lesson Plan
EngageNY

Trigonometry and Complex Numbers

For Teachers 11th - 12th Standards
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...
Handout
Thomson Brooks-Core

Complex Numbers

For Students 10th - 12th
A straightforward approach to teaching complex numbers, this lesson addresses the concepts of complex numbers, polar coordinates, Euler's formula, De moivres Theorem, and more. It includes a practice problems set with odd answers...
Lesson Plan
EngageNY

Complex Number Division 2

For Teachers 11th - 12th Standards
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second lesson on complex number division, the class takes a closer look at the numerator and denominator of the multiplicative...
Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 2

For Teachers 11th - 12th Standards
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...
Lesson Plan
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 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...
Worksheet
Curated OER

Complex Numbers

For Students 10th - 12th
In this complex numbers worksheet, students write numbers in standard form.  They identify real, imaginary and complex numbers.  Students find the absolute value and conjugate of a number.  This two-page worksheet contains...
Worksheet
Curated OER

Complex Numbers

For Students 9th - 12th
In this algebra worksheet, high schoolers simplify complex numbers ranging from performing basic operations to distribution with a few combine like terms. There are 44 questions.
Worksheet
Math eBook

Complex Numbers Addition Worksheet

For Students 10th - 12th Standards
In this complex numbers activity, learners find the sum of complex numbers. This four-page activity contains approximately 20 multi-step problems.
Worksheet
Curated OER

Complex Numbers

For Students 10th - 11th
In this algebra worksheet, students solve complex numbers using multiplication and division properties. There are 10 questions with an answer key.
Worksheet
Curated OER

Complex Numbers

For Students 10th - 11th
In this algebra worksheet, students solve complex numbers using multiplication and division properties. There are 10 questions with an answer key.
Worksheet
Curated OER

Complex Numbers

For Students 11th
In this algebra worksheet, 11th graders solve complex numbers using division. multiplication, addition and subtraction. There are 11 questions with an answer key.
Lesson Plan
EngageNY

Discovering the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
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...
Lesson Plan
Curated OER

The Complex Numbers

For Teachers 9th - 10th
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...
Activity
1
1
Curated OER

Complex Distance

For Teachers 10th - 12th Standards
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number...
Lesson Plan
EngageNY

Justifying the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
The 14th lesson in the unit has the class prove the nine general cases of the geometric representation of complex number multiplication. Class members determine the modulus of the product and hypothesize the relationship for the...

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