Curated OER
Complex Numbers
In this algebra activity, students solve complex numbers using multiplication and division properties. There are 10 questions with an answer key.
Curated OER
Complex Numbers
In this algebra worksheet, 11th graders solve complex numbers using division. multiplication, addition and subtraction. There are 11 questions with an answer key.
Curated OER
Complex Number Multiplication
In this multiplication worksheet, learners multiply complex numbers. This interactive one-page worksheet contains 10 problems. Answers are provided.
Curated OER
Real and Complex Conjugates
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...
Curated OER
Complex Numbers
In this complex numbers worksheet, students simplify 9 problems involving the addition, subtraction, multiplication, and division of complex numbers.
Curated OER
Imaginary and complex Numbers
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. ...
Curated OER
Twenty Equations Involving Imaginary and Complex Numbers
In this complex numbers learning exercise, students solve twenty equations involving imaginary and complex numbers. Four of these problems involve two variables.
EngageNY
Exploiting the Connection to Trigonometry 2
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...
EngageNY
A Surprising Boost from Geometry
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.
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
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...
EngageNY
Exploiting the Connection to Cartesian Coordinates
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...
EngageNY
Linear Transformations Review
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.
Shodor Education Foundation
Two Variable Function Pump
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...
Curated OER
Complex numbers in polar form
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...
Curated OER
Complex Analysis: Graphical Representations
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...
Curated OER
Complex Analysis: Graphical Representations
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.
Curated OER
Complex numbers in polar form
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...
Curated OER
Computation with Real and Complex Numbers
In this computation with real and complex numbers worksheet, students use addition, subtraction, multiplication and division to solve 26 problems with complex numbers to win a bingo game.
Curated OER
Sixty-Eight Solving Equations and Performing Operations With Complex Numbers
In this complex numbers worksheet, students classify numbers, perform operations on complex numbers, and find complex solutions to equations, in sixty-eight problems.
Kuta Software
Properties of Complex Numbers
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.
Curated OER
Graphing and Absolute Value of Complex Numbers
In this graphing and absolute value worksheet, students graph complex numbers and find the absolute value of complex numbers. Students complete 12 problems total.
Curated OER
Complex Numbers - Week 5
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.
Curated OER
Complex Number
In this algebra worksheet, students identify the vertex of a quadratic functions. They identify complex numbers. There are 6 questions.
Curated OER
Complex Analysis: Polar Form
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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