Curated OER
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
Curated OER
Going Back to Your Roots
Who doesn't need to know the Fundamental Theorem of Algebra? Use the theorem to find the roots of a polynomial on a TI calculator. The class explores polynomials with one solution, no real solutions, and two solutions. This less...
Curated OER
Powers and Roots of Complex Numbers
Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...
Curated OER
Solving Various Algebraic Equations for Real and Imaginary Roots
In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
Curated OER
Complex Roots Made Visible
For this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They identify the negative roots using complex roots. There is an answer key with this problem.
Curated OER
Complex Roots: A Graphical Solution
Using their Ti-Nspire to determine the solutions of parabolas, young scholars explore the concept of complex roots. Students determine if parabolas have real or complex roots. Young scholars determine the the axis of symmetry and the...
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
Latin Lingo
Did you know that the Greek and Latin root words that make up the scientific name of a creature often describe the animal? All the root words on this list relate to whales and dolphins. Learners examine the scientific names for dolphins...
Alabama Learning Exchange
Imaginary Numbers? What Do You Mean Imaginary?
Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.
Kuta Software
Quadratic Equations with Square Roots
There are many ways to solve a quadratic expression. Here is a resource that focuses on solving by square rooting the equation. Straightforward with a full answer key, these problems prepare learners for different types of questions they...
Curated OER
Roots and Zeros
In this roots and zeros worksheet, 11th graders solve and complete 9 different problems. First, they state the number of positive real zeros, negative real zeros, and imaginary zeros for each function. Then, students find all the zeros...
Poetry Society
Imaginary Words
Oh, what fun! Young logophiles and neologists create a dictionary-sounding definition for imaginary words and try to fool their classmates.
Kuta Software
Imaginary Numbers
Here is a worksheet 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 and complex...
Curated OER
Discriminating Against the Zero
Students explore the concept of quadratic equations. In this quadratic equations instructional activity, students find the roots or zeros of quadratic equations using the quadratic formula. Students give examples of functions with 2...
Curated OER
Roots of Polynomial Functions
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page...
Curated OER
Imaginary Unit
In this imaginary unit worksheet, 9th graders solve 10 different problems that include solving with imaginary units. First, they define an imaginary unit as a number whose square is negative. Then, students solve each expression for x....
Curated OER
The Discriminant
In this discriminant worksheet, students use the discriminant to determine the number of roots a polynomial contains. Explanations and examples are provided prior to the exercise. This two-page worksheet contains ten problems.
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
Analyzing and Solving Polynomial Equations
In this polynomial equations worksheet, students identify the number of complex roots, real and imaginary roots, and the number of positive and negative roots. This four page worksheet contains 18 multi-step problems. Answers to the...
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
Standard Form
In this standard form instructional 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...
Alabama Learning Exchange
Classifying Complex Numbers
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
Curated OER
Topic 6.4 - The Quadratic Formula and Discriminant
In this quadratic equation instructional activity, students find the exact value of the discriminant and describe the nature of the roots of each quadratic equation. They then solve the equation. There are 9 problems on this page to solve.
Curated OER
Complex and Imaginary Numbers
For 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...