Curated OER
Theory of Polynomials
In this theory of polynomials worksheet, students use the discriminant to determine whether the zeros are real and equal, real and unequal or complex. They find the values of the roots. This two-page worksheet contains 16 problems. ...
Curated OER
DeMoivre's Theorem
In this DeMoivre's theorem worksheet, students find square, third, fourth and fifth roots of complex numbers. They give answers in trigonometric form. This one-page worksheet contains six problems. Answers are provided at the bottom...
Curated OER
Standard Form
In this standard form activity, 11th graders solve and complete 25 different types of problems. First, they write the value of each number given using standard form. Then, students add or multiply each given equation and write in...
Curated OER
Analyzing and Solving Polynomial Equations
In this polynomial equations learning exercise, students identify the number of complex roots, real and imaginary roots, and the number of positive and negative roots. This four page learning exercise contains 18 multi-step problems....
Curated OER
Confounding Words
Eleventh graders gain understanding of how words in the English language are formed. They assess their own work for sentence clarity and variety of expression. They increase their comprehension and recall.
Math About
Introduction to Complex Numbers
For this complex number worksheet, students explore the properties of imaginary numbers to find the square roots of negative numbers. Explanations and examples are given prior to the exercise. This two-page worksheet contains ten problems.
Curated OER
Theorems About Roots and Polynomial Equations
In this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
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.
Curated OER
Test Chapter 8 Algebra II
In this radical equations and expressions test, students answer 4 multiple choice and 21 short answer questions.
Curated OER
Greek, Latin and Anglo-Saxon Roots to Better Vocabulary
Seventh graders review the concepts of affixes and roots. They practice common Greek, Latin, and Anglo-Saxon ones which are used to form many words in English. Students develop an awareness of the formation and evolution of words.
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
Quadratics Equations
In this algebra worksheet, students define the equations and discuss how many and what kinds of roots there will be. There are 6 questions dealing with roots, complex numbers and quadratics.
Curated OER
Radicals: Addition & Subtraction of Complex Numbers
For this radical worksheet, students simplify complex numbers. They find the sum and difference of complex numbers. This two-page worksheet contains 11 multiple-choice problems. Answers are given on the last page.
Mt. San Antonio Collage
Synthetic Division and Zeros of Polynomial Functions
More than just a learning exercise, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and linear...
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...
Curated OER
Complex Analysis: Polynomial Equations
For this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
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.
Curated OER
Teaching Radicals in Less Than Five Minutes
High schoolers simplify complex radicals following a specific technique. In this math lesson plan, students simulate the process using several decks of cards. They explore real life applications of radicals.
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
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...
Curated OER
Quaternions
For this quaternions worksheet, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by doing...
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
Curated OER
Complex and Imaginary Numbers
In this complex and imaginary numbers worksheet, students multiply and divide imaginary and complex numbers. They solve equations containing imaginary numbers. Students determine the roots, sum and product of the roots and the roots of...