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Worksheet
Kuta Software

Properties of Complex Numbers

For Students 11th - 12th Standards
In this worksheet, 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.
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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.
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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.
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Worksheet
Curated OER

Operations with Complex Numbers

For Students 10th - 11th
In this complex numbers worksheet, students simplify thirty complex number expressions and answer two critical thinking questions.  The solutions are provided.
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Worksheet
Curated OER

Math 321 Spring 98. Complex Numbers

For Students Higher Ed
In this complex numbers learning exercise, students find the solutions to polynomials and write them in rectangular and exponential form. This two-page learning exercise contains two problems.
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Worksheet
Curated OER

Algebra II Test covering Radicals, Complex Numbers, and Finding Roots of Quadratics

For Students 10th - 12th
In this algebra two worksheet, students solve twenty-five problems in test format.  The worksheet covers radicals, complex numbers, and finding roots of quadratics.
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Worksheet
Curated OER

Topic 5.9 and 5.10 - Complex Numbers

For Students 7th - 9th
In this complex numbers activity, students solve problems in which they either simplify or solve algebraic expressions. There are 15 questions on this activity.
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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...
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Worksheet
Curated OER

Math 312 Spring 2004: Complex Numbers

For Students 12th - Higher Ed
For this complex numbers worksheet, students complete proofs for complex numbers, sketch points which solve an equation, compute and sketch an Argand diagram. This two-page worksheet contains five multi-step problems.
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Worksheet
Curated OER

Math 312 Spring 95 - Complex Numbers

For Students Higher Ed
In this complex number worksheet, students explore complex numbers and sketch a set of points which solve in the equation. This one-page worksheet contains five problems.
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Worksheet
Curated OER

Complex Analysis: Properties of Complex Numbers

For Students Higher Ed
In this properties of complex numbers worksheet, students list and explain the properties and operations used to compute the value of expressions. This one-page worksheet contains six definition questions and three equations.
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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...
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Lesson Plan
EngageNY

A Surprising Boost from Geometry

For Students 10th - 12th Standards
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication. 
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Lesson Plan
Curated OER

Radicals: Addition & Subtraction of Complex Numbers

For Teachers 10th - 12th Standards
In this radical worksheet, students simplify complex numbers.  They find the sum and difference of complex numbers.  This two-page worksheet contains 11 multiple-choice problems.  Answers are given on the last page.
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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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Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
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Lesson Plan
EngageNY

Curves in the Complex Plane

For Teachers 11th - 12th Standards
Go around and around on the complex plane. The sixth lesson in a 23-part unit reviews representing numbers in the complex plane. Pupils graph numbers with equal moduli and notice they represent a circle. They continue to explore complex...
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Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

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...
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Lesson Plan
Curated OER

Imaginary Numbers

For Teachers 11th
In this Algebra II worksheet, 11th graders explain how every real number is also a complex number.  The one page worksheet contains one problem with solution. 
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Interactive
Curated OER

Complex Number Multiplication

For Students 10th - 12th
In this multiplication worksheet, students multiply complex numbers.  This interactive one-page worksheet contains 10 problems.  Answers are provided.
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Lesson Plan
Curated OER

Complex Numbers

For Teachers 10th - 12th
In this complex numbers worksheet, students write numbers as a multiple of i. They add and subtract imaginary numbers. Students write complex quotients in standard form. This three-page worksheet contains six problems.
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Worksheet
Kuta Software

Simplifying Radicals/Imaginary Numbers

For Students 9th - 12th Standards
Looking for straightforward practice on simplifying radicals and imaginary numbers? Here are 20 problems to practice these skills and an answer key for the odd-numbered questions. 
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Lesson Plan
EngageNY

Solutions to Polynomial Equations

For Teachers 11th - 12th Standards
Take a step back to Algebra II. The first lesson plan 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...
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Worksheet
Curated OER

Complex Analysis: Graphical Representations

For Students Higher Ed
In this graphical representation worksheet, students draw an Argand diagram depicting two complex numbers in a complex plane. They draw vectors to represent complex numbers. This two-page worksheet contains five equations to solve.

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