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....

This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that...

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...

The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...

Learners take on the roles of the legislative, judicial, and executive branches of government in the United States and work to develop public policy issues and ideas into laws in this engaging and well-designed online interactive.

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...

Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...

Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.

Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex...

“There is no story that is not true, . . .” And uncovering the truths in Things Fall Apart is the focus of a 68-page resource packet designed to provide instructors with a wealth of materials that enhance understanding of Chinua Achebe’s...

The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...

Set in Oklahoma in the 1930s, The Grapes of Wrath presents a powerful view of life during the Great Depression. An insightful lesson plan takes a closer look at the characters in John Steinbeck's classic novel, combining the...

Two powerful video clips launch a study of race relations in the United States after the Selma, Alabama riots, the passage of the Votings Rights Act, and the riots in Watts, California. 

Study the 16 Habits of Mind with a professional resource. Based on Describing 16 Habits of Mind by Arthur L. Costa and Bena Kallick, the resource details 16 ways learners perceive problems around them and produce ways to deal...

In this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.

Help your young writers produce high-quality topic and thesis statements that go beyond basic wording and really illustrate complex ideas and critical thinking skills. From however and compound sentence statements to using...

How high did the ball go? Engineering teams build a working pneumatic system that launches a ball into the air. The teams vary the amount of pressure and determine the accompanying height of the ball. An extension of building a device to...

Is there a bank for the banks? Pupils analyze the complexities of the Federal Reserve system by breaking it down into easy-to-understand sections. Step-by-step investigation using flow charts and graphs of how the monetary system works...

Power up! Class members research a type of power production using a great resource featuring a real-world problem. Groups select a type of power generation and pretend that they represent an engineering firm for their chosen power type....

Americans wanted to fulfill Manifest Destiny, and this pattern continued with the Mexican War. The resource specifically teaches about the Mexican War through a variety of exercises including a research project, group work, brainstorming...

High schoolers give examples to indicate how the franchise was extended and limited in the first half of the 19th century, and cite some differences in the newly enfranchised population that could affect the way they would vote.

Learners read about and discuss renewable and non renewable energy and identify how a dam produced energy using hydro-power. In this water energy lesson plan, students look at diagrams and pictures of water energy technology.

Young scholars examine and evaluate the Treaty of Versailles. They read and discuss primary source documents, explore various websites, develop a list of postwar goals for France, Germany, and the U.S., and evaluate whether the treaty...

Are you looking for a reading resource about the efficiency of power systems? Here is one that introduces the output/input ratio, measurement of energy by joules or calories, and efficiency ratings. For STEM classes that are learning...