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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

Complex Numbers

For Students 9th
In this complex numbers activity, 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...
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Worksheet
Curated OER

Imaginary and complex Numbers

For Students 11th
For 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 problems. ...
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Worksheet
Curated OER

Complex Numbers

For Students 9th
In this complex numbers instructional activity, 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...
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Worksheet
Curated OER

Complex Numbers

For Students 10th - 12th
For this complex numbers worksheet, students simplify the expressions of complex numbers and use the answers to answer a riddle. Students complete 15 problems.
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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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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

Graphing and Absolute Value of Complex Numbers

For Students 10th - 12th
In this graphing and absolute value worksheet, students graph complex numbers and find the absolute value of complex numbers. Students complete 12 problems total.
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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

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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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
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

The Geometric Effect of Multiplying by a Reciprocal

For Teachers 11th - 12th Standards
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
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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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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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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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Worksheet
Curated OER

Complex Number

For Students 8th - 10th
In this algebra worksheet, students identify the vertex of a quadratic functions. They identify complex numbers. There are 6 questions.
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Lesson Plan
Curated OER

Operations of Complex Numbers and Intro to DeMoivre's Theorem

For Teachers 9th - 10th
Pupils solve problems with complex numbers. In this algebra lesson, students factor complex numbers and simplify equations using DeMoivre's Theorem. They add, subtract, multiply and divide using negative roots.
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Worksheet
Curated OER

Complex Analysis: Polar & Exponential Forms

For Students Higher Ed
In this polar and exponential form instructional activity, students use Euler's Formula to write complex numbers in exponential form. They write numbers in rectangular form. This two-page instructional activity contains seven...
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Assessment
EngageNY

Mid-Module Assessment Task - Precalculus (module 1)

For Teachers 11th - 12th Standards
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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Assessment
EngageNY

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

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

Iterating the Function and Complex Numbers

For Teachers 7th - 10th
Students identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
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Worksheet
Curated OER

Imaginary Numbers

For Students 11th
In this Algebra II worksheet, 11th graders solve problems that involve determine the value of expression involving the imaginary unit.  The one page worksheet contains three multiple choice questions.  Answers provided. 
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Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 1)

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...