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

An Appearance of Complex Numbers 2

For Teachers 11th - 12th Standards
Help the class visualize operations with complex numbers with a activity that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series...
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 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

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....
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 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

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

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 plan on complex number division, the class takes a closer look at the numerator and denominator of the...
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, learners 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
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.
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...
Worksheet
Kuta Software

Imaginary Numbers

For Students 9th - 12th Standards
Here is a worksheet that takes all aspects of quadratic functions and incorporates imaginary numbers into the problems. The problems range from simplifying to graphing and solving by using a variety of methods with imaginary and complex...
Worksheet
Curated OER

Imaginary and complex Numbers

For Students 11th
In this Algebra II worksheet, 11th graders simplify expression involving imaginary and complex numbers and determine the quadratic equation that would have the given complex roots.  The on page worksheet contains thirty-four...
Worksheet
Curated OER

Twenty Equations Involving Imaginary and Complex Numbers

For Students 10th - 12th
In this complex numbers worksheet, students solve twenty equations involving imaginary and complex numbers.  Four of these problems involve two variables.
Worksheet
Curated OER

Complex Numbers

For Students Higher Ed
In this complex numbers worksheet, students simplify 9 problems involving the addition, subtraction, multiplication, and division of complex numbers.
Worksheet
Kuta Software

Properties of Complex Numbers

For Students 11th - 12th Standards
In this instructional activity, students evaluate complex (signed and imaginary) numbers.  In addition, they are asked to graph complex numbers as well as identify a complex number on a presented graph.
Lesson Plan
Curated OER

Complex Numbers - Week 5

For Teachers 10th - 11th
In this complex numbers worksheet, students 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 problems.
Lesson Plan
Curated OER

Sixty-Eight Solving Equations and Performing Operations With Complex Numbers

For Teachers 10th - 12th
In this complex numbers worksheet, students classify numbers, perform operations on complex numbers, and find complex solutions to equations, in sixty-eight problems.
Worksheet
Curated OER

Complex Numbers

For Students 9th
In this complex numbers worksheet, 9th graders solve 10 different types of problems that include complex numbers in standard form. First, they state the values of the a and b components for each complex number when the number is in a...
Worksheet
Curated OER

Complex Numbers

For Students 9th
For this complex numbers worksheet, 9th graders solve 10 different problems that include addition and subtraction of these numbers. First, they add or subtract the coefficients of similar terms algebraically. Then, students remove the...
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...
Worksheet
Curated OER

Complex Numbers

For Students 9th
For this complex numbers worksheet, 9th graders solve 10 different problems that include either adding or subtracting complex numbers. First, they determine the sum of the real components. Then, students determine the sum of the...
Worksheet
Math About

Introduction to Complex Numbers

For Students 10th - 12th Standards
In this complex number worksheet, students explore the properties of imaginary numbers to find the square roots of negative numbers. Explanations and examples are given prior to the exercise. This two-page worksheet contains ten problems.

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