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Interactive
CK-12 Foundation

Find Imaginary Solutions: Imaginary Zeros

For Students 10th - 12th Standards
The resource is the real deal. Individuals investigate the imaginary zeros of f(x) = x^2 + 1. They accomplish this task by using an interactive that shows input values x = a + bi and output values x^2 + 1 on a complex plane.
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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.
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Worksheet
Curated OER

Complex and Imaginary Numbers

For Students 11th - 12th
For this complex and imaginary numbers worksheet, students multiply and divide imaginary and complex numbers. They solve equations containing imaginary numbers. Students determine the roots, sum and product of the roots and the roots of...
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Lesson Planet Article
Curated OER

Real-World Applications to Imaginary and Complex Numbers

For Teachers All
Authenticate imaginary numbers through real-life applications in science, math, and literature.
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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...
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Lesson Plan
1
1
Project Maths

Complex Number Operations

For Teachers 10th - 12th Standards
What do animated videos have to do with mathematics? Using operations of complex numbers and their representations on the complex plane, high schoolers observe how mathematics could be used to move animations. The lesson provides an...
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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
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...
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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
Math About

Introduction to Complex Numbers

For Students 10th - 12th Standards
In this complex number instructional activity, 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 instructional...
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Lesson Plan
Curated OER

Complex Numbers - Week 5

For Teachers 10th - 11th
In this complex numbers worksheet, learners 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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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
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 problems. ...
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Worksheet
Curated OER

Irrational and Imaginary Root Theorems

For Students 9th - 11th
In this irrational and imaginary root theorem worksheet, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page worksheet contains 22...
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Worksheet
Curated OER

Twenty Equations Involving Imaginary and Complex Numbers

For Students 10th - 12th
In this complex numbers activity, students solve twenty equations involving imaginary and complex numbers.  Four of these problems involve two variables.
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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 and a...
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Lesson Plan
Alabama Learning Exchange

Complex Numbers Solutions

For Students 9th - 12th Standards
Complex doesn't have to mean harder! Learners experiment with online software to determine the quadratic equations with complex solutions. They use the quadratic formula to solve equations with both real and complex solutions.
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Lesson Plan
EngageNY

Complex Numbers as Solutions to Equations

For Students 10th - 12th Standards
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 
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Worksheet
Curated OER

Twenty-Six Rationalize Imaginary Denominators

For Students 10th - 12th
In this rationalizing denominators worksheet, students rationalize imaginary denominators in twenty-six problems.  Sixteen of the problems have denominators that are monomials and ten binomials.  The solutions are provided.
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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 45 problems.
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Worksheet
Curated OER

The Two Number Problem

For Students 9th - 12th
In this number problem activity, students solve 1 word problem about squaring numbers.  Students find two different numbers that are equal when they are squared.
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Lesson Plan
Curated OER

Complex Roots: A Graphical Solution

For Teachers 9th - 12th Standards
Using their Ti-Nspire to determine the solutions of parabolas, young scholars explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  Young scholars determine the the axis of symmetry and the...
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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

Imaginary Unit & Standard Complex Form

For Students 11th - 12th
In this imaginary unit activity, students solve quadratic equations. They write fractional expressions in standard form and identify the values of a complex number. Six of the ten problems on this one-page activity contain imaginary...

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