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Graphic
Stanford University

Standford University: Complex Roots

For Students 9th - 10th Standards
This resource contains relevant information regarding to complex roots that includes formulas and graphs.
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Activity
Oswego City School District

Regents Exam Prep Center: Solving Quadratic Equations With Complex Roots

For Students 9th - 10th Standards
These examples use the quadratic formula to solve quadratic equations. Learn what to do when the solution includes a complex number. Use the practice page and teacher resource page to enhance the lesson.
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Complex Numbers

For Students 9th - 10th Standards
Use this tutorial to learn what imaginary and complex numbers are, how to write them, and how to perform operations with them. Offers step-by-step examples, video explanations of the examples, and practice questions with answers.
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Activity
Math Medics

S.o.s. Math: Quadratic Equations

For Students 9th - 10th Standards
Defines root of a quadratic equation. Portrays graphically what quadratic roots look like. Tutorial includes two basic examples where roots are discovered, and links to pertinent topics elsewhere on the site and a math forum organized by...
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Activity
Oswego City School District

Regents Exam Prep Center: Absolute Value of Complex Numbers

For Students 9th - 10th Standards
This tutorial presents the absolute value of complex numbers using formulas, graphs, and examples. There are practice problems and a teacher resource page to assist students in understanding the concept.
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Unit Plan
Oswego City School District

Regents Exam Prep Center: Complex Numbers

For Teachers 9th - 10th Standards
A wealth of material to help you plan classroom instruction on complex numbers: several lessons that cover the number i, square roots of negative numbers, and operations involving complex numbers; practice activities, some of which...
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Handout
Paul Dawkins

Paul's Online Notes: Algebra: Preliminaries: Complex Numbers

For Students 9th - 10th Standards
This math tutorial features notes and examples that illustrate complex numbers including standard form, adding, subtracting, multiplying and dividing them.
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Handout
Purple Math

Purplemath: Complex Numbers: Introduction

For Students 9th - 10th Standards
This website provides an in-depth lesson on complex numbers. You learn about simplifying, adding, and multiplying complex numbers by viewing example problems that are worked through step-by-step. Continue on to pages 2 and 3 which...
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Unit Plan
Cuemath

Cuemath: Complex Numbers

For Students 9th - 10th Standards
A comprehensive guide for learning all about complex numbers with definitions, operations on complex numbers, solved examples, and practice questions.
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Activity
Wolfram Research

Wolfram Math World: Quadratic Formula

For Students 9th - 10th Standards
This MathWorld site provides the quadratic formula, giving the roots of a quadratic equation, as well as an alternative form of the equation.
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Activity
Wolfram Research

Wolfram Math World: Quadratic Equation

For Students 9th - 10th Standards
This MathWorld site shows how to derive the quadratic formula.
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Handout
Wolfram Research

Wolfram Math World: Imaginary Number

For Students 9th - 10th Standards
Contains a brief definition of an imaginary number. Includes special links and topic search engine.
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Handout
Stanford University

Stanford Exploration Project: Complex Roots

For Students 9th - 10th Standards
A description and examples of complex roots.
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Activity
Texas Instruments

Texas Instruments: Powers and Roots of Complex Numbers

For Teachers 9th - 10th Standards
Complex numbers can be represented graphically using parametric equations. The roots of complex numbers, including the roots of unity, can be represented graphically using De Moivre's theorem and parametric equations.
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Handout
Clark University

Clark University: Dave's Short Trig Course: Complex Numbers

For Students 9th - 10th Standards
Contains general information regarding complex numbers and roots of unity.
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Unknown Type
McGraw Hill

Glencoe Mathematics: Quiz on Powers and Roots of Complex Numbers

For Students 9th - 10th Standards
The online assessment exhibits knowledge of advanced mathematical concepts in Trigonometry. The questions evaluate students on powers and roots of complex numbers.
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Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Trigonometric Equations Using Factoring

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving trigonometric equations using factoring, square roots, and the quadratic formula.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Complex Numbers 2

For Students 9th - 10th Standards
Fifteen problems present more practice working with complex numbers. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check each...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Quadratic Formula and Complex Sums

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students identify complex roots of quadratic functions with the quadratic formula, and adding and subtracting complex numbers. Students examine guided...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Imaginary Numbers

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students will identify imaginary and complex numbers, basic evaluation of imaginary numbers. Students examine guided notes, review guided practice,...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Powers and Roots of Complex Numbers

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] On this site students learn to apply De Moivre's Theorem to solve for powers and roots of complex numbers. Students explore guided notes, watch videos and then...
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Activity
Texas Instruments

Texas Instruments: Polynomial Root Finder App

For Teachers 9th - 10th Standards
This App allows students to calculate real and complex roots for polynomials up to degree 30 using eigenvalues and easily graph polynomials.
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Activity
Discovery Education

Discovery Education: Web Math: Subtracting Complex Numbers

For Students 9th - 10th Standards
WebMath offers a program that explains and calculates the subtraction of complex numbers.
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Handout
Math Medics

S.o.s. Math: Factoring Over the Complex Numbers

For Students 9th - 10th Standards
S.O.S. Math provides information, including examples, on factoring over the complex numbers.