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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, students explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  Students determine the the axis of symmetry and the vertex given...
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Lesson Plan
Curated OER

Exploring Complex Roots

For Teachers 9th - Higher Ed Standards
In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas.  Then, they discuss what makes a solution complex and how to identify functions with complex roots.
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Lesson Plan
Curated OER

Complex Numbers

For Teachers 9th - 12th Standards
Students examine complex numbers. For this Algebra II lesson, students investigate two programs that involve complex numbers: the MANDELER Program and SYNDIV program.
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Worksheet
Curated OER

Complex Numbers

For Students 11th
In this algebra worksheet, 11th graders solve complex numbers using division. multiplication, addition and subtraction. There are 11 questions with an answer key.
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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
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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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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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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Lesson Plan
Curated OER

Real and Complex Conjugates

For Teachers 8th - 9th
Students explore examples of real binomial conjugates involving the square root of negative one. In a class setting, students study examples of complex conjugates and work given problems. They play "Find My Conjugate" game where real and...
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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...
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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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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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Lesson Plan
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Curated OER

Going Back to Your Roots

For Teachers 9th - 12th Standards
Who doesn't need to know the Fundamental Theorem of Algebra? Use the theorem to find the roots of a polynomial on a TI calculator. The class explores polynomials with one solution, no real solutions, and two solutions. This less lesson...
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Lesson Plan
Curated OER

Introduction to Polar coordinates

For Teachers 11th - 12th Standards
The class practices plotting points in a Cartesian coordinate system and a Polar coordinate system. They convert from one system to the other to get coordinates to plot. Then they play a Tic-Tac-Toe or Connect Four game to have a...
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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.
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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.
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Interactive
Curated OER

Share this page Facebook Page Complex number addition

For Students 9th - 12th
In this online math learning exercise, students practice adding positive and negative integers. When complete, students submit their answers and get instant feedback regarding their accuracy.
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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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Lesson Plan
EngageNY

Linear Transformations Review

For Teachers 11th - 12th Standards
Time for matrices and complex numbers to come together. Individuals use matrices to add and multiply complex numbers by a scalar. The instructional activity makes a strong connection between the operations and graphical transformations.
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Lesson Plan
1
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Alabama Learning Exchange

Imaginary Numbers? What Do You Mean Imaginary?

For Teachers 9th - 12th Standards
Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.
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Assessment
Inside Mathematics

Conference Tables

For Teachers 9th - 12th Standards
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
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Lesson Plan
Diablo Valley College

The Language of Sets and Set Notation

For Teachers 9th - 12th Standards
The basics of number theory and set notation are explained in a highly approachable way in a self-contained activity and worksheet. Introducing the vocabulary and concepts from ground zero and building to more complex ideas of subsets...
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Worksheet
Curated OER

Complex Analysis: Graphical Representations

For Students Higher Ed
In this graphical representation activity, students draw an Argand diagram depicting complex numbers. They draw in vectors that represent complex numbers. This three-page activity contains approximately ten problems.
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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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