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Worksheet
Curated OER

Complex Numbers

For Students 10th - 11th
In this algebra activity, students solve complex numbers using multiplication and division properties. There are 10 questions with an answer key.
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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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Interactive
Curated OER

Complex Number Multiplication

For Students 10th - 12th
In this multiplication worksheet, learners multiply complex numbers.  This interactive one-page worksheet 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

Complex Numbers

For Students Higher Ed
In this complex numbers learning exercise, students simplify 9 problems involving the addition, subtraction, multiplication, and division of complex numbers.
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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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Lesson Plan
Curated OER

Complex numbers in polar form

For Teachers 9th - 12th
Students plot complex numbers in the polar plane. They convert complex numbers in polar form to rectangular form. Students plot coordinates in the polar plane. They plot complex numbers in the complex plane. Students are asked to...
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Worksheet
Curated OER

Complex Analysis: Graphical Representations

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

Complex numbers in polar form

For Teachers 9th - 12th
Students plot complex numbers in the polar plane. They are asked to list what they believe are the five most famous numbers in mathematics. Students are explained that generally accepted that the five most famous numbers in mathematics...
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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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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

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

Complex Analysis: Polar Form

For Students Higher Ed
In this polar form worksheet, students write complex numbers in polar form. They draw an Argand diagram containing vectors and draw sketches representing in a coordinate plane. This two-page worksheet contains thirteen multi-step...

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