Curated OER
Algebra II Test covering Radicals, Complex Numbers, and Finding Roots of Quadratics
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.
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. ...
Rice University
Intermediate Algebra
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
EngageNY
Does Every Complex Number Have a Square Root?
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...
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
Operations with Complex Numbers
In this complex numbers worksheet, students simplify thirty complex number expressions and answer two critical thinking questions. The solutions are provided.
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
Topic 5.9 and 5.10 - Complex Numbers
In this complex numbers worksheet, students solve problems in which they either simplify or solve algebraic expressions. There are 15 questions on this worksheet.
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
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Rice University
Algebra and Trigonometry
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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.
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.
EngageNY
Solutions to Polynomial Equations
Take a step back to Algebra II. The first lesson in a series of 23 asks scholars to remember working with quadratic equations with complex solutions. Pupils apply polynomial identities to complex numbers and work examples that show how...
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
Operations of Complex Numbers and Intro to DeMoivre's Theorem
Students solve problems with complex numbers. In this algebra lesson, students factor complex numbers and simplify equations using DeMoivre's Theorem. They add, subtract, multiply and divide using negative roots.
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...
Curated OER
Complex Analysis: Polar & Exponential Forms
In this polar and exponential form learning exercise, students use Euler's Formula to write complex numbers in exponential form. They write numbers in rectangular form. This two-page learning exercise contains seven multi-step problems.
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 the...
Curated OER
Iterating the Function and Complex Numbers
Students identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
Curated OER
Imaginary Numbers
In this Algebra II worksheet, 11th graders solve problems that involve determine the value of expression involving the imaginary unit. The one page worksheet contains three multiple choice questions. Answers provided.
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,...