Kuta Software
Imaginary Numbers
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...
Kuta Software
Simplifying Radicals/Imaginary Numbers
Looking for straightforward practice on simplifying radicals and imaginary numbers? Here are 20 problems to practice these skills and an answer key for the odd-numbered questions.
Curated OER
The Complex Numbers
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...
Curated OER
Imaginary Numbers
In this Algebra II learning exercise, 11th graders solve problems that involve determine the value of expression involving the imaginary unit. The one page learning exercise contains three multiple choice questions. Answers...
Curated OER
Imaginary Numbers
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.
EngageNY
Complex Number Division 1
Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...
Virginia Department of Education
Complex Numbers
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they...
EngageNY
The Geometric Effect of Some Complex Arithmetic 2
The 10th instructional activity in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary...
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
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
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
Irrational and Imaginary Root Theorems
In this irrational and imaginary root theorem worksheet, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page worksheet contains 22...
Curated OER
Imaginary and complex Numbers
In this Algebra II instructional activity, 11th graders simplify expression involving imaginary and complex numbers and determine the quadratic equation that would have the given complex roots. The on page instructional activity...
Curated OER
Twenty-Six Rationalize Imaginary Denominators
In this rationalizing denominators learning exercise, students rationalize imaginary denominators in twenty-six problems. Sixteen of the problems have denominators that are monomials and ten binomials. The solutions are...
Curated OER
Complex Numbers
In this complex numbers worksheet, 9th graders solve 10 different problems that include either adding or subtracting complex numbers. First, they determine the sum of the real components. Then, students determine the sum of the imaginary...
EngageNY
Mid-Module Assessment Task - Precalculus (module 1)
Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is...
EngageNY
End-of-Module Assessment Task — Precalculus (Module 1)
A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...
Curated OER
Complex Numbers
In this complex numbers worksheet, 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...
Curated OER
Complex Numbers
In this complex numbers instructional activity, 9th graders solve 10 different types of problems that include complex numbers in standard form. First, they state the values of the a and b components for each complex number when the...
Curated OER
Mathematics B: High School Exam
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
Curated OER
Square Roots
In this square roots worksheet, 9th graders solve 10 different problems that include simplifying with negative numbers. First, they identify the negative number in each equation and pull out from under the radical sign as i. Then,...
Curated OER
Solving Quadratic Equations by Completing the Square
In this solving quadratic equations worksheet, students complete the square to tell the possible answers for 18 equations. 4 answers involve the square root of -1 (i).
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
Exponents
In this Algebra II worksheet, 11th graders use the laws of exponents to simplify expressions. The exponents include fractions, variables, radicals, and imaginary numbers. The one page worksheet contains thirty-four...