Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews...

Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....

Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....

For this algebra worksheet, students solve complex numbers using multiplication and division properties. There are 10 questions with an answer key.

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...

Here is a instructional activity that takes all aspects of quadratic functions and incorporates imaginary numbers into the problems. The problems range from simplifying to graphing and solving by using a variety of methods with imaginary...

In this complex numbers worksheet, students solve twenty equations involving imaginary and complex numbers.  Four of these problems involve two variables.

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...

In this complex numbers worksheet, learners classify numbers, perform operations on complex numbers, and find complex solutions to equations, in sixty-eight problems.

In this complex numbers worksheet, students find the solutions to polynomials and write them in rectangular and exponential form. This two-page worksheet contains two problems.

In this algebra two worksheet, students solve twenty-five problems in test format.  The worksheet covers radicals, complex numbers, and finding roots of quadratics.

In this complex numbers activity, 9th graders solve 10 different problems that include determining the absolute value of each equation. First, they convert the number to the a+bi form. Then, students select the coefficients for a and b....

For 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.

In this complex numbers activity, 9th graders solve 10 different problems that include addition and subtraction of these numbers. First, they add or subtract the coefficients of similar terms algebraically. Then, students remove the...

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.

In this complex numbers worksheet, 9th graders solve and graph 10 different problems that include various complex numbers. First, they represent each of the problems shown as complex numbers graphically. Then, students graphically add...

In this complex numbers worksheet, learners complete proofs for complex numbers, sketch points which solve an equation, compute and sketch an Argand diagram. This two-page worksheet contains five multi-step problems.

In this properties of complex numbers activity, students list and explain the properties and operations used to compute the value of expressions. This one-page activity contains six definition questions and three equations.

For this quadratic equations worksheet, learners solve 10 problems using the quadratic equation. The worksheet provides a good explanation of the quadratic formula and then provides students practice using it. This is an interactive...

In this graphical representation instructional activity, students draw an Argand diagram depicting two complex numbers in a complex plane. They draw vectors to represent complex numbers. This two-page instructional activity contains...

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

In this algebra worksheet, students identify the vertex of a quadratic functions. They identify complex numbers. There are 6 questions.

In this quadratic equations worksheet, students solve 10 different equations that include complex roots. First, they solve for the indicated variable and express the roots of the equation in simplest form. Then, students determine the...

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...