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Interactive
Curated OER

Complex Number Multiplication

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

Twenty Equations Involving Imaginary and Complex Numbers

For Students 10th - 12th
In this complex numbers learning exercise, students solve twenty equations involving imaginary and complex numbers.  Four of these problems involve two variables.
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Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
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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

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
EngageNY

Exploiting the Connection to Cartesian Coordinates

For Teachers 11th - 12th Standards
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
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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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Interactive
Shodor Education Foundation

Two Variable Function Pump

For Students 9th - 12th Standards
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
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Worksheet
Curated OER

Computation with Real and Complex Numbers

For Students 9th - 12th Standards
For this computation with real and complex numbers worksheet, learners use addition, subtraction, multiplication and division to solve 26 problems with complex numbers to win a bingo game.
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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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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

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

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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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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Lesson Plan
Curated OER

Simplifying Complex Rational Expressions: Extra Practice 28

For Teachers 9th - 10th
In this math worksheet, young scholars compute with complex fractions. Each problem involves dividing fractions as well as adding or subtracting. Problems are written as complex fractions, and students may need to find common...
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Lesson Plan
Curated OER

Radicals: Addition & Subtraction of Complex Numbers

For Teachers 10th - 12th Standards
For 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
Curated OER

Imaginary Unit & Standard Complex Form

For Students 11th - 12th
In this imaginary unit worksheet, 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 worksheet contain imaginary...
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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 learning exercise, students solve twenty-five problems in test format.  The learning exercise covers radicals, complex numbers, and finding roots of quadratics.
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Worksheet
Math About

Introduction to Complex Numbers

For Students 10th - 12th Standards
For 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

Topic 5.9 and 5.10 - Complex Numbers

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

Solving Complex Equations with the GERMDAS method

For Teachers 9th - 11th
Young scholars solve complex equations with the GERMDAS method. In this algebra lesson, students solve equations with more than one step using addition, subtraction, multiplication and division. They apply the order-of operation as they...
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Lesson Plan
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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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